Mathematics Major (B.S.) - Undergraduate (Combined B.S./M.A.T. with Teacher Certification in Mathematics (Preschool-Grade 12) and Teacher of Students with Disabilities) - 2015 University Catalog

The Dual Degree Dual Certification program is a 5-year program that leads to teacher certification in Mathematics (grades P-12), teacher certification in Teacher of Students with Disabilities, a baccalaureate degree and a master’s degree. Interested students must apply to and be admitted to the Teacher Education Program as an undergraduate. Students must successfully complete the undergraduate portion of the program in order to be admitted to the Graduate School and complete the one-year master’s portion of the program.

Please visit the Teacher Education Program website for the required undergraduate professional sequence of courses, overall course outline, and other important Program requirements, guidelines, and procedures. Students also are strongly advised to review the Teacher Education Program Handbook.

A minimum of 120 semester hours of coursework is required for the baccalaureate degree with a minimum 2.0 overall GPA, and a minimum 2.0 major GPA. However, more than 120 semester hours may be required depending upon the major field of study. In addition to the major requirement outlined below, all university students must fulfill the set of General Education requirements applicable to their degree.

Teacher Education Sequence (42 s.h.)
To be eligible for admission to the Teacher Education Program, a student must have a minimum 2.75 GPA in math major and collateral courses and have successfully completed 11 semester hours or more of math major courses. In addition, in order to remain in the Teacher Education Program students must maintain a 3.0 overall GPA and 2.75 GPA in the major.

 


MATHEMATICS MAJOR

Complete 2 requirements:

  1. MAJOR REQUIREMENTS

    Complete 51 semester hours including the following 4 requirement(s):

    1. REQUIRED MATHEMATICS COURSES

      Complete the following 5 courses:

      MATH 122 Calculus I (4 hours lecture) 4
      MATH 221 Calculus II (4 hours lecture) 4
      MATH 222 Calculus III (4 hours lecture) 4
      MATH 335 Linear Algebra (4 hours lecture) 4
      MATH 340 Probability (3 hours lecture) 3
    2. MATHEMATICS SPECIALIZATION

      Complete 6 courses for 18 semester hours:

      MATH 320 Transitions to Advanced Mathematics (3 hours lecture) 3
      MATH 350 College Geometry (3 hours lecture) 3
      MATH 370 Mathematics for Teaching (3 hours lecture) 3
      MATH 431 Foundations of Modern Algebra (3 hours lecture) 3
      MATH 475 History of Mathematics (3 hours lecture) 3
      STAT 330 Fundamentals of Modern Statistics I (3 hours lecture) 3
    3. MATH TEACHER EDUCATION ELECTIVES

      Complete a minimum of 3 semester hours from the following:

      MATH 323 Complex Variables (3 hours lecture) 3
      MATH 335 Linear Algebra (4 hours lecture) 4
      MATH 360 Mathematical Modeling in Biology (3 hours lecture) 3
      MATH 368 Fluid Mechanics (3 hours lecture) 3
      MATH 398 Vector Calculus (3 hours lecture) 3
      MATH 420 Ordinary Differential Equations (4 hours lecture) 4
      MATH 421 Partial Differential Equations (3 hours lecture) 3
      MATH 425 Advanced Calculus I (3 hours lecture) 3
      MATH 426 Advanced Calculus II (3 hours lecture) 3
      MATH 433 Theory of Numbers (3 hours lecture) 3
      MATH 450 Foundations of Geometry (3 hours lecture) 3
      MATH 451 Topology (3 hours lecture) 3
      MATH 460 Introduction to Applied Mathematics (3 hours lecture) 3
      MATH 463 Numerical Analysis (3 hours lecture) 3
      MATH 464 Operations Research I (3 hours lecture) 3
      MATH 465 Operations Research II (3 hours lecture) 3
      MATH 466 Mathematics of Finance I (3 hours lecture) 3
      MATH 467 Mathematics of Finance II (3 hours lecture) 3
      MATH 469 Mathematical Modeling (3 hours lecture) 3
      MATH 471 Selected Topics in Modern Mathematics (3 hours lecture) 3
      MATH 485 Applied Combinatorics and Graph Theory (3 hours lecture) 3
      MATH 487 Introduction to Mathematical Cryptography (3 hours lecture) 3
      MATH 490 Honors Seminar (3 hours seminar) 3
      MATH 491 Research in Mathematics Education (3 hours seminar) 3
      MATH 495 Topics for Undergraduates (1 hour lecture) 1-3
      MATH 497 Mathematics Research I 1-3
      MATH 498 Mathematics Research II 1-3
      STAT 401 Applied Statistics for the Sciences (3 hours lecture) 3
      STAT 403 Techniques and Applications of Statistics (3 hours lecture) 3
      STAT 441 Statistical Computing (3 hours lecture) 3
      STAT 442 Fundamentals of Modern Statistics II (3 hours lecture) 3
      STAT 443 Introduction to Mathematical Statistics (3 hours lecture) 3
      STAT 481 Introduction to Statistical Data Mining (3 hours lecture) 3
      STAT 487 Statistical Genomics (3 hours lecture) 3
      STAT 495 Topics in Statistical Science 1-3
      STAT 497 Undergraduate Research in Statistical Science 1-3
    4. MATHEMATICS COLLATERAL REQUIREMENT

      Complete the following 11 semester hours:

      CSIT 111 Fundamentals of Programming I (3 hours lecture) 3
      PHYS 191 University Physics I (3 hours lecture, 2 hours lab) 4
      PHYS 192 University Physics II (3 hours lecture, 2 hours lab) 4
  2. TEACHER ED PROGRAM REQUIREMENTS (BS/MAT)

    1. TEACHER ED PRE-REQUISITE REQUIREMENTS

      Complete the following 3 requirements:

      1. HEALTH FOR TEACHER EDUCATION

        Complete 1 course from the following, or pass the MSU Health Knowledge Test available through the Center of Pedagogy:

        BIOL 100 Biological Sciences (3 hours lecture, 2 hours lab) 4
        BIOL 107 Biology for Survival (3 hours lecture) 3
        BIOL 110 The Biology of Human Life (3 hours lecture, 2 hours lab) 4
        BIOL 215 Human Heredity (3 hours lecture) 3
        BIOL 240 Mammalian Anatomy and Physiology I (2 hours lecture, 2 hours lab) 3
        BIOL 241 Mammalian Anatomy and Physiology II (2 hours lecture, 2 hours lab) 3
        BIOL 243 Human Anatomy and Physiology (3 hours lecture, 3 hours lab) 4
        BIOL 380 Genetics (3 hours lecture, 3 hours lab) 4
        HLTH 101 Personal Health Issues (3 hours lecture) 3
        HLTH 207 Safety, Accidents and Emergency Care. Starting Winter 2016: Injury Prevention and Emergency Care (3 hours lecture) 3
        HLTH 210 Consumer Health (3 hours lecture) 3
        HLTH 213 Perspectives on Drugs (3 hours lecture) 3
        HLTH 220 Mental Health (3 hours lecture) 3
        HLTH 290 Human Sexuality (3 hours lecture) 3
        HLTH 307 The Study of Human Diseases (3 hours lecture) 3
        HLTH 314 Public Health Aspects of Alcohol Abuse (3 hours lecture) 3
        HLTH 330 Foundations of Health Education. Starting Winter 2016: Health Education Methods (3 hours lecture) 3
        HLTH 411 School Health and Community Services (3 hours lecture) 3
        HLTH 430 Health Counseling. Starting Winter 2016: Counseling Skills for Public Health Professionals (3 hours lecture) 3
        HONP 210 Honors Seminar in Science (3 hours seminar, 2 hours lab) 4
        HONP 211 Honors Seminar in Contemporary Issues in Science (3 hours seminar) 3
        HPEM 150 Principles and Practice of Emergency Care (3 hours lecture) 3
        NUFD 182 Nutrition (3 hours lecture) 3
      2. SPEECH FOR TEACHER EDUCATION

        Complete the following:

        CMST 101 Fundamentals of Speech: Communication Requirement (3 hours lecture) 3
      3. ADDITIONAL TEACHER ED PRE-REQUISITES

        Complete the following 3 requirements:

        1. Complete 1 course from the following: .

          EDFD 200 Psychological Foundations of Education (3 hours lecture) 3
          PSYC 200 Educational Psychology (3 hours lecture) 3
        2. Complete the following 2 courses: .

          EDFD 220 Philosophical Orientation to Education (3 hours lecture) 3
          EDFD 221 Historical Foundations of American Education (3 hours lecture) 3
        3. Complete 1 course from the following: .

          EDFD 210 Public Purposes of Education: Democracy and Schooling (3 hours lecture) 3
          READ 210 Public Purposes of Education: Democracy and Schooling (3 hours lecture) 3
          SASE 210 Public Purposes of Education: Democracy and Schooling (3 hours lecture) 3
    2. UNDERGRADUATE PROFESSIONAL SEQUENCE I

      Complete the following 3 requirement(s):

      1. Complete 1 course from:

        ECEL 279 Foundation and Philosophy of Inclusive Education (3 hours lecture) 3
        SPED 279 Foundation and Philosophy of Inclusive Education (3 hours lecture) 3
      2. Complete 1 course from:

        EDFD 312 Educating English Language Learners (1 hour lecture) 1
        READ 312 Educating English Language Learners (1 hour lecture) 1
        SASE 312 Educating English Language Learners (1 hour lecture) 1
      3. Complete 1 course from:

        EDFD 305 Teaching for Equity & Diversity (3 hours lecture) 3
        READ 305 Teaching for Equity & Diversity (3 hour lecture) 3
        SASE 305 Teaching for Equity and Diversity (3 hours lecture) 3
    3. UNDERGRADUATE PROFESSIONAL SEQUENCE II

      Complete the following 2 courses:

      READ 411 Language & Literacy (3 hours lecture) 3
      SPED 367 Language-Based Strategies for Inclusive Classrooms (3 hour lecture) 3
    4. UNDERGRADUATE PROFESSIONAL SEQUENCE III

      Complete the following 2 courses:

      SPED 469 Inclusive Methods for Middle and Secondary Schools (3 hours lecture) 3
      SPED 488 Promoting Prosocial Behaviors in Inclusive Settings (3 hours lecture) 3
    5. GRADUATE COURSES

      Complete 2 requirement(s). These courses will also count toward the MAT portion of this program.

      1. Complete 2 courses: (Courses will also count toward graduate portion of this program).

        SASE 520 Inclusive iSTEM for the Adolescent Learner I (3 hours lecture) 3
        SPED 584 Assessment and Evaluation in the Inclusive Classroom 2-3
      2. Complete 1 course from the following with advisor approval:

        MATH 521 Real Variables I (3 hours lecture) 3
        MATH 522 Real Variables II (3 hours lecture) 3
        MATH 525 Complex Variables I (3 hours lecture) 3
        MATH 526 Complex Variables II (3 hours lecture) 3
        MATH 530 Mathematical Computing (3 hours lecture) 3
        MATH 531 Abstract Algebra I (3 hours lecture) 3
        MATH 532 Abstract Algebra II (3 hours lecture) 3
        MATH 535 Linear Algebra I (3 hours lecture) 3
        MATH 536 Linear Algebra II (3 hours lecture) 3
        MATH 540 Probability (3 hours lecture) 3
        MATH 551 Topology (3 hours lecture) 3
        MATH 554 Projective Geometry (3 hours lecture) 3
        MATH 560 Numerical Analysis (3 hours lecture) 3
        MATH 564 Ordinary Differential Equations (3 hours lecture) 3
        MATH 566 Partial Differential Equations (3 hours lecture) 3
        MATH 568 Applied Mathematics: Continuous (3 hours lecture) 3
        MATH 569 Applied Mathematics: Discrete (3 hours lecture) 3
        MATH 580 Combinatorial Mathematics (3 hours lecture) 3
        MATH 581 Graph Theory (3 hours lecture) 3
        MATH 584 Operations Research (3 hours lecture) 3
        MATH 585 Fundamentals of Scientific Computing (3 hours lecture) 3
        MATH 586 Fundamentals of Mathematical Models (3 hours lecture) 3
        MATH 587 Fundamentals of Optimization (3 hours lecture) 3
        MATH 588 Professional Science Master Mini-Projects (6 hours lecture) 6
        MATH 590 Advanced Topics (3 hours lecture) 3
        MATH 591 Applied Industrial Mathematics (3 hours lecture) 3
        STAT 541 Applied Statistics (3 hours lecture) 3
        STAT 542 Statistical Theory I (3 hours lecture) 3
        STAT 543 Statistical Theory II (3 hours lecture) 3
        STAT 544 Statistical Computing (3 hours lecture) 3
        STAT 545 Practicum in Statistics I 3
        STAT 546 Non-Parametric Statistics (3 hours lecture) 3
        STAT 547 Design and Analysis of Experiments (3 hours lecture) 3
        STAT 548 Applied Regression Analysis (3 hours lecture) 3
        STAT 549 Sampling Techniques (3 hours lecture) 3

Course Descriptions:

BIOL100: Biological Sciences (3 hours lecture, 2 hours lab)

The study of life from molecule to organism with focus on structure and function of cells, mechanisms of heredity and change, survey of animals and plants and their interrelationships in the living world. Open to non-majors as well as majors. BIOL 100 is not included in the GPA as a biology major course. Meets Gen Ed 2002 - Natural/Physical Science Laboratory. 4 sh.

BIOL107: Biology for Survival (3 hours lecture)

Basic concepts of biology that focus on social implications of pollution, population control, radiation, drugs, pesticides, the genetic revolution, etc. For non-science majors. Biology majors may only take this course as a free elective. 3 sh.

BIOL110: The Biology of Human Life (3 hours lecture, 2 hours lab)

The course is intended to serve the non-biology major and present a basic introduction to human anatomy and physiology. It will provide students with a laboratory experience so that they may learn the scientific method and its application in the field of human biology. This course will provide these students with a body of knowledge specific to human anatomy and physiology so that they may be well informed when dealing with important personal, family and societal issues relative to health and life-style decisions. Meets Gen Ed 2002 - Natural/Physical Science Laboratory. 4 sh.

BIOL215: Human Heredity (3 hours lecture)

A non-major course introducing concepts of classical heredity and modern molecular genetics, which stresses the techniques and significance of genetic knowledge and research. 3 sh.

BIOL240: Mammalian Anatomy and Physiology I (2 hours lecture, 2 hours lab)

Human anatomy and physiology for health education and physical education majors. Not for biology majors. Biology majors may only take this course as a free elective. 3 sh.

BIOL241: Mammalian Anatomy and Physiology II (2 hours lecture, 2 hours lab)

Human anatomy and physiology for health education and physical education majors. Not for biology majors. Biology majors may only take this course as a free elective. 3 sh.

Prerequisites: BIOL 240.

BIOL243: Human Anatomy and Physiology (3 hours lecture, 3 hours lab)

A study of the dynamics of the human body in relation to its structure and function is based on its nutritional input. Each organ system is discussed in relation to its contribution to the whole functioning organism, as well as a basic survey of its pathologies. Primarily for ADA certification. 4 sh.

Prerequisites: CHEM 130.

BIOL380: Genetics (3 hours lecture, 3 hours lab)

Lecture and lab. Heredity, gene and chromosomal structure and function, gene regulation, mutation and repair, genes in populations, genetic manipulation, and applied genetics are covered. Lab exercises demonstrate genetic concepts. A semester-long project with research paper is required. Required of all biology majors and minors. Meets the University Writing Requirement for majors in Biology, Molecular Biology and Science Informatics. 4 sh.

Prerequisites: BIOL 230 with a grade of C- or higher and CHEM 120 with a grade of C- or higher.

CMST101: Fundamentals of Speech: Communication Requirement (3 hours lecture)

This course introduces students to the theoretical and practical requirements of different types of public presentations and helps students develop an understanding and appreciation of the dynamic nature of the communication process. The course focuses on the basic elements of the communication process, listening, communicator and audience characteristics, basic research skills, and message composition and delivery. Students learn about the demands of public presentations in culturally and professionally diverse environments and develop presentation competence and flexibility. Meets Gen Ed 2002 - Communication, Communication. Previous course SPCM 101 effective through Spring 2012. 3 sh.

CSIT111: Fundamentals of Programming I (3 hours lecture)

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. Previous course CMPT 183 effective through Spring 2014. 3 sh.

Prerequisites: MATH 100. MATH 112 may be taken as a corequisite or prerequisite.

ECEL279: Foundation and Philosophy of Inclusive Education (3 hours lecture)

This course provides an overview of the historical and ideological trends that impact the education of children in inclusive settings. Students explore the historical, political and legal foundations of inclusive education; principles of inclusive planning, consultation, and collaboration; resources and services for effective inclusion and inclusive transition programs; characteristics of high and low-incidence disabilities; and implications for students with and without disabilities. This course includes a field experience in which students engage in reflective observation of inclusive classrooms. 3 sh.

Prerequisites: ENWR 105 or HONP 100.

EDFD200: Psychological Foundations of Education (3 hours lecture)

The psychological foundations of education enable students to understand and apply essential topics in teaching and learning including development, motivation, diversity and assessment. Through relating theoretical frameworks to empirical research and applying them to classroom settings, students will be better able to understand their own experience as learners and conceptualize their future practice as teachers. Meets Gen Ed 2002 - Social Science, Social Science. 3 sh.

Prerequisites: ENWR 105 or HONP 100.

EDFD210: Public Purposes of Education: Democracy and Schooling (3 hours lecture)

This course examines the public purposes of education in our social and political democracy. Students inquire into the role of schools in fostering the development of democratic principles and practices and examine various curriculum designs and pedagogical strategies. Students also explore the main issues stemming from the efforts to teach democratically in public educational institutions. Students complete 30 hours of fieldwork in an assigned high-performing urban school, which provides a context for these explorations. They examine and analyze successful practices of instruction and classroom management. Attendance at the first class is required to verify field expectations. This course is pre-requisite for admission into the teacher education program. Cross-listed with SASE 210 and READ 210. 3 sh.

Prerequisites: Sophomore level or higher and ENWR 105 or HONP 100.

EDFD220: Philosophical Orientation to Education (3 hours lecture)

Western philosophical heritage as related to the issues and responsibilities of American education. Comparative analysis of past and current ideological movements that influence moral, social, and educational decisions of parents, political leaders, and professional educators. Meets Gen Ed 2002 - Humanities, Philosophy or Religion. 3 sh.

Prerequisites: ENWR 105 or HONP 100.

EDFD221: Historical Foundations of American Education (3 hours lecture)

This course offers students the crucial sequence of ideas that constitute one of the central themes in American society and culture. Since its beginnings, American thinkers have seen education as the key to an informed citizenry. Major themes in American education will be looked at through the reading of primary and secondary sources. Meets Gen Ed 2002 - Social Science, American or European History. 3 sh.

Prerequisites: ENWR 105 or HONP 100.

EDFD305: Teaching for Equity & Diversity (3 hours lecture)

This course examines the qualities of teachers, teaching, and schooling that foster the learning of students from diverse social and cultural backgrounds. Students explore the ways in which socialization experiences shape perceptions. They reflect on their own beliefs, assumptions, and perceptions about sociocultural identity and how their own socialization has shaped their perceptions of themselves and other people. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools in the United States. They learn ways of teaching all children well and to develop positive relationships among teachers, parents and children. Cross-listed with READ 305 and SASE 305. 3 sh.

Prerequisites: SASE 210, EDFD 210, or READ 210; and admission to Teacher Education Program.

EDFD312: Educating English Language Learners (1 hour lecture)

This course module exposes students to the central issues in the education of English language learners in US schools and helps them learn about best practices in education through hands-on experience creating and adjusting lessons and instruction to benefit the academic performance of English language learners as well as of all students. Issues addressed include sociocultural, legal, and political influences on the education of English language learners; principles of second language acquisition; and explicit practice in planning academic content instruction for English language learners. Cross listed with READ 312 and SASE 312. 1 sh.

Prerequisites: SASE 210, EDFD 210 or READ 210; and admission to the Teacher Education program.

HLTH101: Personal Health Issues (3 hours lecture)

Personal Health Issues examines health through six interrelated dimensions: physical, emotional, intellectual, spiritual, interpersonal and social, and environmental. This course examines how health choices impact society and the health of a community. Additionally, health policies and societal health issues are examined for their impact on the individual. This course emphasizes contemporary health issues using the national initiative Health People 2010 as a framework. Assessing health status, increasing health competencies to enhance decision-making skills, eliciting health-promoting behaviors, and interpreting existing and proposed social actions that ultimately affect individual, family, community and environmental health are central focuses of this course. 3 sh.

HLTH207: Safety, Accidents and Emergency Care. Starting Winter 2016: Injury Prevention and Emergency Care (3 hours lecture)

Provides for study of major safety areas including transportation, public safety, industrial and home safety. Emergency health care, first aid treatment, and preventive measures are considered in the context of individual, agency and institutional responsibilities. 3 sh.

Prerequisites: Starting Winter 2016: HLTH 102.

HLTH210: Consumer Health (3 hours lecture)

Interpretation of individual economic activity as it relates to health service and health products. Includes analysis of factors influencing consumer health attitudes and behavior. 3 sh.

HLTH213: Perspectives on Drugs (3 hours lecture)

Provides for the study of licit as well as illicit drug use in contemporary society from the perspective of selected biomedical and psychosocial disciplines. Examines the effects of drugs on the individual and society in the context of changing social conditions and technological developments. Analyzes complex nature of the drug problem and rehabilitative and preventive measures and tentative solutions to this important aspect of human existence. 3 sh.

HLTH220: Mental Health (3 hours lecture)

Provides for the study of human emotional adjustment throughout the life cycle from biomedical and psychosocial perspectives. The factors that foster the development of emotional and mental well-being and the forces that contribute to the breakdown of human adjustment capabilities are identified and analyzed in light of research and clinical literature. Special attention is given to the strategies for the prevention of mental disorders and promotion of mental health. 3 sh.

HLTH290: Human Sexuality (3 hours lecture)

Students will explore many interacting cultural, personal and health factors relating to human sexual development, attitudes, and behaviors. Historical, anthropological, biological/physiological, socio-cultural and psychological factors will be introduced to encourage a broad perspective. Discussion of differing philosophical, ethical and moral positions will also aid students in making a critical assessment of intimate human relationships and acquaint them with criteria and processes for understanding themselves as sexual beings. Meets Gen Ed 2002 - Social Science, Social Science. 3 sh.

HLTH307: The Study of Human Diseases (3 hours lecture)

Provides a comprehensive study of diseases, their etiology, pathophysiology, diagnosis, prognosis, and treatment. Includes a review of causation theories and incidence patterns and focuses on major degenerative, neoplastic, metabolic, immunologic, and infectious diseases. Attention is given to prevention and control measures with an emphasis on the role of selected health/medical resources in disease management. Offered as HLTH 307 through Fall 2015. To become HLTH 208 effective Winter 2016. 3 sh.

Prerequisites: HLTH 105 or HPEM 150 or ATTR 201 and at least one 200-level course in HLTH, HPEM, or ATTR.

HLTH314: Public Health Aspects of Alcohol Abuse (3 hours lecture)

Examines the impact of alcohol abuse on public health. Society's attempts to diminish the impact are also explored. Includes study of effects of alcohol abuse on the family and workplace; prevention modalities and rehabilitation programs. 3 sh.

Prerequisites: HLTH 213 or HLTH 215.

HLTH330: Foundations of Health Education. Starting Winter 2016: Health Education Methods (3 hours lecture)

Provides a comprehensive study of the scientific, social, behavioral, educational, and legal foundations of health education. Traces the evolution and interprets the impact of related professions on school, community, and allied health education. Meets the University Writing Requirement for majors in Health. 3 sh.

Prerequisites: Health Education major or departmental approval. Starting Winter 2016: HLTH 204.

HLTH411: School Health and Community Services (3 hours lecture)

Provides for an in-depth understanding of the school health program and community services. Includes study of school and health services, healthful school environment, and health education and community health services. 3 sh.

Prerequisites: Health Education major or departmental approval. Starting Winter 2016: HLTH 330.

HLTH430: Health Counseling. Starting Winter 2016: Counseling Skills for Public Health Professionals (3 hours lecture)

Course focuses on factors influencing health and illness behavior with implications for behavioral intervention in health care. Included are the intervention strategies of prevention, crisis intervention, postvention and compliance, and the intervention techniques of assessment, interviewing, counseling skills and small group dynamics. 3 sh.

Prerequisites: HLTH 220 or HLTH 222 or departmental approval. Starting Winter 2016: HLTH 330.

HONP210: Honors Seminar in Science (3 hours seminar, 2 hours lab)

Interdisciplinary course in the natural and physical sciences consisting of seminars and laboratory experience. Meets Gen Ed 2002 - Natural/Physical Science Laboratory. 4 sh.

Prerequisites: For Honors Program students only or by permission of instructor.

HONP211: Honors Seminar in Contemporary Issues in Science (3 hours seminar)

Interdisciplinary course in the natural and physical sciences applying the scientific method, scientific data analysis, reasoning and logic to selected contemporary issues. 3 sh.

Prerequisites: For Honors Program students only or by permission of instructor.

HPEM150: Principles and Practice of Emergency Care (3 hours lecture)

Provides for study of emergency care management. Provides knowledge and skills for teaching principles and practices of emergency care in a school or adult fitness setting. 3 sh.

Prerequisites: Starting Winter 2016: Exercise Science (ESCI) or Physical Education w/ conc: Adult Fitness (PEAF) majors only or departmental approval.

MATH122: Calculus I (4 hours lecture)

Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. 4 sh.

Prerequisites: MATH 111 or MATH 112 or placement through the Montclair State University Placement Test (MSUPT) or a satisfactory score on department's Calculus Readiness Test. (Students who did not satisfy the course prerequisite at MSU and students who received a grade of D-, D, or D+ in the prerequisite course taken at MSU are required to demonstrate competency on the department's Calculus Readiness Test.)

MATH221: Calculus II (4 hours lecture)

Riemann integral applications, transcendental functions, techniques of integration, improper integrals, L'Hospital's rule, infinite series. 4 sh.

Prerequisites: MATH 122 with grade of C- or better.

MATH222: Calculus III (4 hours lecture)

Vector algebra; partial differentiation, and extreme considerations; polar, cylindrical, and spherical coordinates, multiple integration; introduction to line integrals. 4 sh.

Prerequisites: MATH 221 with a grade of C- or better.

MATH320: Transitions to Advanced Mathematics (3 hours lecture)

This course will help students explore mathematics and make conjectures using technology. Students will enhance their understanding of mathematical models and to develop communication skills through the use of written reports and oral presentations of projects. The course content introduces students to difference equations, elementary linear algebra and ordinary differential equations. Further, the course will develop proof-writing skills and introduce students to the explore-conjecture-proof strategy. 3 sh.

Prerequisites: MATH 221 with a grade of C- or better.

MATH323: Complex Variables (3 hours lecture)

This course is a study of the arithmetic and algebra of complex numbers, and an introduction to the differentiation and integration of complex functions. Topics include: rectangular and polar form of complex numbers, algebra of complex numbers, differentiation, Cauchy-Riemann equations, and contour integrals. Previous course MATH 423 effective through Spring 2014. 3 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH335: Linear Algebra (4 hours lecture)

The course content will cover the foundations of the algebra of vector spaces, matrix operations, matrix invertibility theorems, linear independence, span, basis, linear transformations, finite dimensional Hilbert Spaces, Gram-Schmidt process, projections, eigenvalues and eigenvectors, and applications. The focus of the course will be to develop advanced mathematical skills in reading and understanding abstract mathematical definitions, constructing examples, and developing mathematical proofs. Meets the University Writing Requirement for majors in Mathematics. 4 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH340: Probability (3 hours lecture)

Chance and variability, elements of combinatorics, Bayes' theorem, random variables, binomial, poisson and normal distributions, applications to statistics. 3 sh.

Prerequisites: MATH 221 with a grade of C- or better.

MATH350: College Geometry (3 hours lecture)

The study of a wide range of advanced concepts in Euclidean geometry suitable for teaching foundations of axiomatic systems at the high school or middle school level. Topics involving triangle congruence, parallel line postulate, properties of polygons and circles, area, volume, Pythagorean Theorem, similarity, transformations and geometric constructions will be studied from an advanced, proof-based perspective. Basics of Non- Euclidian geometries will be introduced. Geometers' Sketchpad and other software will be utilized. 3 sh.

Prerequisites: MATH 320 with a grade of C- or better.

MATH360: Mathematical Modeling in Biology (3 hours lecture)

The course introduces students to the study of mathematical modeling in the biological and medical sciences. Continuous and discrete dynamical systems will be used to describe topics such as interacting and structured populations, biological control, population genetics and evolution, biological oscillators and switches, pattern formation, and the dynamics of infectious diseases. Each topic will be presented in its historical context, leading to questions of current research interest and providing a comprehensive overview of the field and a solid foundation for interdisciplinary research in the biological sciences. Emphasis is on applications and mathematical techniques for finding solutions. 3 sh.

Prerequisites: MATH 221 (or MATH 116 and BIOL 213 for Biology Majors).

MATH368: Fluid Mechanics (3 hours lecture)

Mechanics of continuous media, liquids and gases; stress, viscosity, Navier-Stokes and Euler Equations, exact solutions, potential flow, circulation and vorticity, dimensional analysis and asymptotic models, boundary layers, stability theory and applications to industrial environmental problems. Cross listed with PHYS 368. Previous course MATH 468 effective through Spring 2014. 3 sh.

Prerequisites: MATH 222 with a grade of C- or better.

MATH370: Mathematics for Teaching (3 hours lecture)

This course will focus on the Common Core State Standards Mathematics (CCSSM) aligned with the content areas of number and quantity, pre-algebra and algebra, and statistics and probability. These topics will be presented with the goal of fostering pre-service mathematics teachers' (PSMT's) understanding of and commitment to teaching mathematics that promotes student understanding. PSMTs will explore mathematical content deeply while also discussing related pedagogical tools, including teaching methods, curricula, lesson planning, technology resources, and assessment practices. 3 sh.

Prerequisites: MATH 350 with a grade of C- or better and admission into the Teacher Education program.

MATH398: Vector Calculus (3 hours lecture)

Topics include the algebra of the differential and integral calculus; gradients, divergence and curl of a vector field, and integral theorems together with applications drawn from the physical sciences. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH420: Ordinary Differential Equations (4 hours lecture)

A course in the theory and applications of ordinary differential equations which emphasizes qualitative aspects of the subject. Topics include analytic and numerical solution techniques for linear and nonlinear systems, graphical analysis, existence-uniqueness theory, bifurcation analysis, and advanced topics. Prerequisite: MATH 335. 4 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH421: Partial Differential Equations (3 hours lecture)

Partial differential equations arise in the mathematical modeling of many physical, chemical, and biological phenomena. They play a crucial role in diverse subject areas, such as fluid dynamics, electromagnetism, material science, astrophysics, financial modeling, and hydrogeology, for example. This course is an introduction to partial differential equations with emphasis on the wave, diffusion and Laplace equations. The focus will be on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Methods of solutions include separation of variables using orthogonal series, transform methods, method of characteristics, and some numerical methods. 3 sh.

Prerequisites: MATH 420 with a grade of C- or better.

MATH425: Advanced Calculus I (3 hours lecture)

Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH426: Advanced Calculus II (3 hours lecture)

This course is a continuation of MATH 425. Topics include functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series and uniform convergence. 3 sh.

Prerequisites: MATH 425 with a grade of C- or better.

MATH431: Foundations of Modern Algebra (3 hours lecture)

Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH433: Theory of Numbers (3 hours lecture)

This course presents the principal ideas of classical elementary number theory, emphasizing the historical development of these results and the important figures who worked on them. Topics studied include the following: divisibility, primes, and the Euclidean Algorithm; number-theoretic functions, linear congruencies, the Chinese Remainder Theorem, the Theorems of Fermat, Euler, and Wilson; quadratic congruencies and the Law of Quadratic Reciprocity; Diophantine equations and Fermat's Last Theorem; continued fractions; Pell's equation and the sum of two squares. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH450: Foundations of Geometry (3 hours lecture)

The course deals with the fundamental ideas common to Euclidean and Non-Euclidean geometries; projective, affine, and metric geometries. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH451: Topology (3 hours lecture)

Point set topology including topics such as, metric spaces, limit points, derived sets, closure, continuity, compact sets and connected sets. 3 sh.

Prerequisites: MATH 425 with a grade of C- or better.

MATH460: Introduction to Applied Mathematics (3 hours lecture)

This course is a survey of applied mathematical techniques, including such topics as control theory (feedback control systems, Nyquist and Popov plots, pole shifting, Laplace transforms) and classical boundary value problems (Sturm-Liouville equations with solution techniques involving Fourier series). Applications will use the theory of calculus of variations which includes the variational derivative, the general variation of a functional, variation in parametric form, and the invariance of the Euler's equations. Prerequisite: MATH 335. 3 sh.

Prerequisites: MATH 420 with a grade of C- or better.

MATH463: Numerical Analysis (3 hours lecture)

Finite differences, approximation theory, linear and non-linear equations, error analysis. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH464: Operations Research I (3 hours lecture)

Linear programming, transportation problem, assignment problem, duality, sensitivity analysis, network flows, dynamic programming, nonlinear programming, integer programming. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH465: Operations Research II (3 hours lecture)

Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. 3 sh.

Prerequisites: MATH 335 and MATH 340 both with a grade of C- or better.

MATH466: Mathematics of Finance I (3 hours lecture)

Mathematical theory of interest rates, annuities, bond valuation, stock valuation, options, arbitrage, binomial trees, put-call parity, Black Scholes Model, Capital Asset Pricing Model (CAPM) and portfolio selection. 3 sh.

Prerequisites: FINC 321 and MATH 340 both with a grade of C- or better.

MATH467: Mathematics of Finance II (3 hours lecture)

Mathematical theory of forward/futures contract, hedging with futures, fixed income market analysis, duration, immunization, financial swaps, interest swaps, currency swaps, future options, Black Scholes Model, put-call parity, binomial trees, other options, and volatility. This course can be used as part of preparation for SOA/CASACT Actuarial Examinations, Course 2. 3 sh.

Prerequisites: MATH 466 with a grade of C- or better.

MATH469: Mathematical Modeling (3 hours lecture)

The art of constructing mathematical models for "real world" problems, solving the model, and testing the accuracy of the model. Problems will be selected from business, science, computer science, and the social sciences. 3 sh.

Prerequisites: MATH 420 and MATH 340; and MATH 464 or STAT 330 all with a grade of C- or better.

MATH471: Selected Topics in Modern Mathematics (3 hours lecture)

Professionalized view of junior and senior high school mathematics topics: functions, real and complex numbers, analytic geometry, absolute value and inequalities, sets and logic, flow charting, linear programming. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better and admission into the Teacher Education Program.

MATH475: History of Mathematics (3 hours lecture)

This course surveys the origins and evolution of mathematical ideas from the antiquity to the present. Emphasis will be on the role of mathematics as an integral part of our cultural heritage and its relationship to areas such as science, art, religion, philosophy and literature. Classical mathematical methods will be examined by reading selected original works by great mathematicians. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH485: Applied Combinatorics and Graph Theory (3 hours lecture)

Problem solving by counting, enumeration, and graph theory. Permutation, combinations, binomial coefficients, generating functions, and recurrence relations, partitions, inclusion-exclusion, Polya's formula, graph theoretic models, trees, circuits, networks, matching, and their applications to puzzles, games, tournaments, traffic patterns, transportation. 3 sh.

Prerequisites: MATH 340 with a grade of C- or better.

MATH487: Introduction to Mathematical Cryptography (3 hours lecture)

A modern introduction to the application of number theory, combinatorics and abstract algebra to cryptography. Specifically, this includes modular arithmetic, generating polynomials and matrix algebra over rings and fields. A discussion of a broad range of applications of mathematics to the security of credit cards, cell phones and codes among numerous other current examples will be covered. Current industry protocols will be explored. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better.

MATH490: Honors Seminar (3 hours seminar)

This course will concentrate on subject matter not usually covered within standard mathematics courses. A written and oral report are required. 3 sh.

Prerequisites: MATH 335 with a grade of C- or better; and departmental approval.

MATH491: Research in Mathematics Education (3 hours seminar)

Research in Mathematics Education Research in an area of mathematics education agreed upon by the student and the instructor. The results of the research will be the basis of a seminar, colloquium, or conference presentation to be given by the student. May be repeated for a maximum of 6 credits with either a new research topic or continued research on the current topic. 3 sh.

Prerequisites: MATH 350 and departmental approval.

MATH495: Topics for Undergraduates (1 hour lecture)

Study of advanced topics in undergraduate mathematics. May be repeated for a maximum of 6.0 credits as long as the topic is different. 1 - 3 sh.

Prerequisites: MATH 335 and MATH 340 both with a grade of C- or better; and departmental approval.

MATH497: Mathematics Research I

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. 1 - 3 sh.

Prerequisites: MATH 335 with a grade of C- or better; and departmental approval.

MATH498: Mathematics Research II

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. 1 - 3 sh.

Prerequisites: MATH 335 with a grade of C- or better; and departmental approval.

MATH521: Real Variables I (3 hours lecture)

Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.

Prerequisites: MATH 426 and permission of graduate program coordinator.

MATH522: Real Variables II (3 hours lecture)

Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.

Prerequisites: MATH 521, permission of graduate program coordinator.

MATH525: Complex Variables I (3 hours lecture)

Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.

Prerequisites: MATH 426 and permission of graduate program coordinator.

MATH526: Complex Variables II (3 hours lecture)

Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.

Prerequisites: MATH 525, permission of graduate program coordinator.

MATH530: Mathematical Computing (3 hours lecture)

Introduction to mathematical computing techniques using a computer algebra system and algorithmic approach to solving mathematical problems. Mathematical applications taken from various areas of mathematics, the sciences, engineering, and business. 3 sh.

Prerequisites: Permission of the graduate program coordinator or consent of the instructor.

MATH531: Abstract Algebra I (3 hours lecture)

Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.

Prerequisites: MATH 431 and permission of graduate program coordinator.

MATH532: Abstract Algebra II (3 hours lecture)

Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.

Prerequisites: MATH 531, permission of graduate program coordinator.

MATH535: Linear Algebra I (3 hours lecture)

Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.

Prerequisites: MATH 335 and permission of graduate program coordinator.

MATH536: Linear Algebra II (3 hours lecture)

Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.

Prerequisites: MATH 535, permission of graduate program coordinator.

MATH540: Probability (3 hours lecture)

Sample spaces and events, combinatorial analysis, conditional probability and stochastic independence, random variables and probability distributions, expected value and variance, probability generating functions, continuous random variables. 3 sh.

Prerequisites: MATH 340 and permission of graduate program coordinator.

MATH551: Topology (3 hours lecture)

Basic point-set topology, topological spaces, homeomorphisms, compactness, connectedness, separation properties, uniformities, metrizability, introductory algebraic topology, homology groups and homotopy. 3 sh.

Prerequisites: MATH 425, and permission of graduate program coordinator.

MATH554: Projective Geometry (3 hours lecture)

Projective planes and spaces are studied by synthetic and analytic approaches. Topics covered include the theorems of Desargues and Pappus, harmonic sequences, projectivities, coordinatization, finite planes, and conics. 3 sh.

Prerequisites: MATH 335 and permission of graduate program coordinator.

MATH560: Numerical Analysis (3 hours lecture)

Error analysis, interpolation and approximation theory, numerical solution of linear and nonlinear equations, numerical differentiation and integration, numerical solution of differential equations. 3 sh.

Prerequisites: MATH 335, and permission of graduate program coordinator.

MATH564: Ordinary Differential Equations (3 hours lecture)

Linear and nonlinear equations, Green's functions, power series solutions, autonomous systems, existence and uniqueness, singularities, Sturm-Liouville systems. 3 sh.

Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.

MATH566: Partial Differential Equations (3 hours lecture)

First order equations, separation of variables, series solutions, hyperbolic, parabolic and elliptic equations, characteristics, transform methods. 3 sh.

Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.

MATH568: Applied Mathematics: Continuous (3 hours lecture)

Formulation, manipulation and evaluation of mathematical models of continuous systems. Topics selected from: conservation principles and the classical equations of mathematical physics, applications of the qualitative and quantitative theory of ordinary and partial differential equations, optimization, calculus of variations, stability theory, stochastic models. 3 sh.

Prerequisites: MATH 335, and 340, and 420, and 425, and permission of graduate program coordinator.

MATH569: Applied Mathematics: Discrete (3 hours lecture)

Introduction to the basic ideas of discrete mathematics and its applications. Counting principles, permutations, combinations, algorithms, complexity, graphs, trees, searching and sorting, recurrence relations, generating functions, inclusion-exclusion, the pigeonhole principle, chromatic number, eulerian chains and paths, hamiltonian chains and paths, flows in networks, finite Markov chains. 3 sh.

Prerequisites: MATH 335, and 340, and 425, and permission of graduate program coordinator.

MATH580: Combinatorial Mathematics (3 hours lecture)

Arrangements and selections, binomial coefficients, Stirling numbers, generating functions, recurrence relations, inclusion-exclusion, Polya enumeration formula, combinatorial graph theory, combinatorial geometries. 3 sh.

Prerequisites: MATH 222 and graduate program coordinator's permission.

MATH581: Graph Theory (3 hours lecture)

Graphs, digraphs, and trees. Connectivity, separability, planarity, and colorability. Cliques, independent sets, matchings, flows and tours. Graphs as mathematical models; graph algorithms. 3 sh.

Prerequisites: MATH 222, and 335, and graduate program coordinator's permission.

MATH584: Operations Research (3 hours lecture)

An in-depth study of one or at most two topics in operations research, selected from linear programming and game theory, linear and nonlinear programming, queuing theory, inventory theory, simulation models. 3 sh.

Prerequisites: MATH 425 and STAT 440 and permission of graduate program coordinator.

MATH585: Fundamentals of Scientific Computing (3 hours lecture)

Theory and implementation of mathematical computing techniques. This course will present basic programming and graphing techniques to analyze mathematical models. Students will learn basic algorithm design, programming paradigms, simulation techniques, visualization software, and typesetting software for science and mathematics. 3 sh.

Prerequisites: MATH 420 and permission of the Graduate Program Coordinator.

MATH586: Fundamentals of Mathematical Models (3 hours lecture)

The course investigates meaningful and practical problems across various industry related disciplines including mathematical sciences, engineering, economics, operation research and life sciences. Students will learn how to identify problems, construct or select developed models, collect and analyze data, and draw appropriate conclusions. The development of appropriate mathematical models used to study applied case problems originating from industry interest will be stressed as well as interpretation of mathematical results in that context. 3 sh.

Prerequisites: MATH 585 and STAT 583 and permission of graduate program coordinator.

MATH587: Fundamentals of Optimization (3 hours lecture)

Introduction to applied optimization in various settings, both continuous and discrete. Topics selected from linear programming, non-linear programming, network optimization models, and feedback control with an emphasis on applications to business management, economics, game theory, and finance. The course will be team-taught, with the various areas of optimization introduced by faculty with expertise in that field. 3 sh.

Prerequisites: MATH 585 and STAT 583 and permission of Graduate Coodinator.

MATH588: Professional Science Master Mini-Projects (6 hours lecture)

Students working in teams will be assigned problems selected from professional case studies and may include problems of current interest supplied by collaborating industries and/or advisory board members. Solution methodology will vary from problem to problem and will require the wide breadth of mathematical tools covered in the prerequisite courses. These include discrete and continuous modeling, optimization methods, and data analysis. Central to the professional experience, students will present problem statement, solution methodology, and results during class time. Emphasis will be placed on incorporating the skills developed in the PSM plus courses. Specifically, these skills involve understanding goals, leadership and teamwork, communication skills, marketing the project, discipline, flexibility, innovation, special appropriate technologies, quality of project outcomes, ethics (as applicable), and meeting potential employer expectations. 6 sh.

Prerequisites: MATH 585, MATH 586, MATH 587, STAT 583 and permission of the Graduate Program Coordinator.

MATH590: Advanced Topics (3 hours lecture)

An in-depth study of a topic or topics selected from areas such as algebra, analysis, geometry, probability and statistics, and applied mathematics, with special emphasis upon recent developments in the field. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 3 sh.

Prerequisites: Graduate program coordinator's permission.

MATH591: Applied Industrial Mathematics (3 hours lecture)

Formulation, modeling, and solution of mathematical problems from engineering, science and business. Topics include statistical distributions, Monte Carlo method, function fitting, transforms optimization, regression analysis, cost-benefit analysis, ordinary differential equations, partial differential equations, numerical methods, divided differences, splines, Galerkin's method, and finite elements. 3 sh.

Prerequisites: MATH 335, MATH 425, MATH 530, STAT 440 or permission of graduate program coordinator.

NUFD182: Nutrition (3 hours lecture)

This course is designed to give students a general knowledge of the components of the food we eat, the nutrients necessary for a healthy life, the functions of nutrients and the interrelationships and metabolism of nutrients. The factors which influence the recommended dietary intake of nutrients, and theories and guidelines for screening nutrition risk and disease and prevention are presented. 3 sh.

PHYS191: University Physics I (3 hours lecture, 2 hours lab)

This one-semester calculus-based course including laboratory is a study of the principles of physics and some applications to society's problems. Topics covered include mechanics, thermodynamics, fluids, and harmonic motion. 4 sh.

Prerequisites: MATH 122 is prerequisite or co-requisite.

PHYS192: University Physics II (3 hours lecture, 2 hours lab)

Calculus-based course. Study of some principles of physics and some applications to society's problems. Topics include: wave motion, sound and noise pollution, optics, electricity, lasers, nuclear theory, radiation, nuclear reactors, waste disposal. 4 sh.

Prerequisites: MATH 221 is prerequisite or corequisite.

PSYC200: Educational Psychology (3 hours lecture)

Required for teaching. Covers child and adolescent development; fundamentals of learning theory as applied to classroom situations, learning inhibition and academic non-achievement, personal-social adjustment, measuring and evaluating teaching-learning, creativity. Course may not be taken by Psychology majors for major credit effective Fall 1995. 3 sh.

READ210: Public Purposes of Education: Democracy and Schooling (3 hours lecture)

This course examines the public purposes of education in our social and political democracy. Students inquire into the role of schools in fostering the development of democratic principles and practices and examine various curriculum designs and pedagogical strategies. Students also explore the main issues stemming from the efforts to teach democratically in public educational institutions. Students complete 30 hours of fieldwork in an assigned high-performing urban school, which provides a context for these explorations. They examine and analyze successful practices of instruction and classroom management. Attendance at the first class is required to verify field expectations. This course is pre-requisite for admission into the teacher education program. Cross-listed with SASE 210 and EDFD 210. 3 sh.

Prerequisites: Sophomore level or higher and ENWR 105 or HONP 100.

READ305: Teaching for Equity & Diversity (3 hour lecture)

This course examines the qualities of teachers, teaching, and schooling that foster the learning of students from diverse social and cultural backgrounds. Students explore the ways in which socialization experiences shape perceptions. They reflect on their own beliefs, assumptions, and perceptions about sociocultural identity and how their own socialization has shaped their perceptions of themselves and other people. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools in the United States. They learn ways of teaching all children well and to develop positive relationships among teachers, parents and children. Cross listed with EDFD 305 and SASE 305. 3 sh.

Prerequisites: SASE 210, READ 210, or EDFD 210; and admission to Teacher Education Program.

READ312: Educating English Language Learners (1 hour lecture)

This course module exposes students to the central issues in the education of English language learners in US schools and helps them learn about best practices in education through hands-on experience creating and adjusting lessons and instruction to benefit the academic performance of English language learners as well as of all students. Issues addressed include sociocultural, legal, and political influences on the education of English language learners; principles of second language acquisition; and explicit practice in planning academic content instruction for English language learners. Cross-listed with SASE 312 and EDFD 312. 1 sh.

Prerequisites: SASE 210, READ 210, or EDFD 210; and admission to the Teacher Education program.

READ411: Language & Literacy (3 hours lecture)

This course is designed to assist pre-service middle and secondary school teachers across majors in understanding the nature of language and literacy teaching and learning in their content areas. Students review basic components of reading, social and cultural aspects of literacy practice, and the specifics of language and literacy in different disciplines (e.g., distinct vocabulary, particular writing and reading demands). Students learn to develop a repertoire of teaching/learning literacy strategies that enhance comprehension. Students conduct sample assessments and content-area lessons with middle and high school students. Through observation in a content classroom, students learn ways of integrating literacy learning into their lessons as well as ways of organizing and managing the classroom to extend literacy learning. Fieldwork or service-learning experience is required. 3 sh.

Prerequisites: SASE 210, READ 210, or EDFD 210; SASE 305, READ 305, or EDFD 305; and admission to Teacher Education Program.

SASE210: Public Purposes of Education: Democracy and Schooling (3 hours lecture)

This course examines the public purposes of education in our social and political democracy. Students inquire into the role of schools in fostering the development of democratic principles and practices and examine various curriculum designs and pedagogical strategies. Students also explore the main issues stemming from the efforts to teach democratically in public educational institutions. Students complete 30 hours of fieldwork in an assigned high-performing urban school, which provides a context for these explorations. They examine and analyze successful practices of instruction and classroom management. Attendance at the first class is required to verify field expectations. This course is pre-requisite for admission into the teacher education program. Cross-listed with READ 210 and EDFD 210. Previous course CURR 210 effective through Spring 2014. 3 sh.

Prerequisites: Sophomore level or higher and ENWR105 or HONP100.

SASE305: Teaching for Equity and Diversity (3 hours lecture)

This course examines the qualities of teachers, teaching, and schooling that foster the learning of students from diverse social and cultural backgrounds. Students explore the ways in which socialization experiences shape perceptions. They reflect on their own beliefs, assumptions and perceptions about sociocultural identity and how their own socialization has shaped their perceptions of themselves and other people. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools in the United States. They learn ways of teaching all children well and to develop positive relationships among teachers, parents and children. Cross listed with SASE 305 and READ 305. Previous course CURR 305 effective through Spring 2014. 3 sh.

Prerequisites: SASE 210, EDFD 210, or READ 210.

SASE312: Educating English Language Learners (1 hour lecture)

This course module exposes students to the central issues in the education of English language learners in US schools and helps them learn about best practices in education through hands-on experience creating and adjusting lessons and instruction to benefit the academic performance of English language learners as well as of all students. Issues addressed include sociocultural, legal, and political influences on the education of English language learners; principles of second language acquisition; and explicit practice in planning academic content instruction for English language learners. Cross listed with READ 312 and EDFD 312. Previous course CURR 312 effective through Spring 2014. 1 sh.

Prerequisites: SASE 210, EDFD 210, or READ 210; and admission to the Teacher Education Program.

SASE520: Inclusive iSTEM for the Adolescent Learner I (3 hours lecture)

This course provides an introduction to integrative STEM education (e.g., Science, Technology, Engineering, and Mathematics) as a tool to advance student learning in the STEM content areas, creativity, and innovation. Teachers today have a strong commitment to teaching the subject matter as listed in their content-area standards. However, given the changing trends in education and the push for technology integration, teachers and students are facing rapid change. This course addresses the essential question, "How do you inspire learning and creativity in all students according to the standards while maintaining balance in your core curriculum?" Through exploration of "big ideas" in invention and innovation, teacher candidates will begin to answer this question. 3 sh.

Prerequisites: SPED 579 and SPED 568.

SPED279: Foundation and Philosophy of Inclusive Education (3 hours lecture)

This course provides an overview of the historical and ideological trends that impact the education of children in inclusive settings. Students explore the historical, political, and legal foundations of inclusive education; principles of inclusive planning, consultation, and collaboration; resources and services for effective inclusion and inclusive transition programs; characteristics of high and low-incidence disabilities; and implications for students with and without disabilities. This course includes a field experience in which students engage in reflective observation of inclusive classrooms. 3 sh.

Prerequisites: ENWR 105 or HONP 100.

SPED367: Language-Based Strategies for Inclusive Classrooms (3 hour lecture)

This course focuses on research-based instructional practices for inclusive education. In this course, students explore approaches to reading and writing instruction for students with diverse learning needs and consolidate these into a repertoire of instructional strategies that can be used to meet the needs of students with disabilities at various stages of skill mastery. Procedures addressed in this course are applicable in inclusive as well as more restrictive settings, and address the needs of students from a broad array of cultural, linguistic, and economic backgrounds. Students explore such issues as: special education identification and why large numbers of students fail; the importance of explicit instruction for students with learning problems; lesson planning for multiple learning environments; characteristics of students with mild-to-moderate disabilities in reading, writing, and spelling; components of research-based instruction in reading, written expression,, and spelling; modifications, accommodations, and materials for teaching students with disabilities in inclusive settings; and professional standards, including New Jersey Core Curriculum Content Standards (NJCCCS) and New Jersey Professional Teaching Standards. 3 sh.

Prerequisites: SPED 279 or ECEL 279.

SPED469: Inclusive Methods for Middle and Secondary Schools (3 hours lecture)

This course enhances the ability of future educators to provide access to the curriculum for students with disabilities in middle and secondary schools. Educators learn how to apply principles of developmentally appropriate practice and curriculum design to improve the learning of students who exhibit abilities across a wide range. The emphasis is on research-based and practical techniques and strategies that can be utilized in the certification area in an inclusive setting, focusing mainly on the Strategies Intervention Model. Students explore resources for adapting content area curriculum. This course requires a field experience working in schools tutoring students who are experiencing academic or basic skills difficulties. 3 sh.

Prerequisites: SPED367

SPED488: Promoting Prosocial Behaviors in Inclusive Settings (3 hours lecture)

In this course, future teachers develop knowledge of theory and skills of practice related to the development of appropriate prosocial behaviors for students with disabilities within inclusive classroom settings. This course focuses on social behavior and the developmental and environmental factors that influence its expression. Students learn how to conduct a functional analysis of behavior, promote appropriate behavior, and develop a classroom setting that fosters prosocial behaviors. They explore principles of social/emotional learning, social skills development, data collection processes, schedules of reinforcement, monitoring of progress, social problem solving, and the promotion of a positive behavior plan. 3 sh.

Prerequisites: SPED279 or ECEL279.

SPED584: Assessment and Evaluation in the Inclusive Classroom

This course is designed to be an introduction for pre-service teachers in the field of Special Education assessment and accountability. The course will introduce students to elements of traditional assessment, including record keeping, grading, objective and essay testing, theories of validity as well as authentic, performance, and portfolio assessment. The keeping of anecdotal records, inclusion, heterogeneous groups, and accommodations will also be components of this course. 2 - 3 sh.

Prerequisites: SPED 579. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

STAT330: Fundamentals of Modern Statistics I (3 hours lecture)

Displaying, describing and modeling data; arrangements for producing data; probability; methods for drawing conclusions from data: significance testing, confidence interval estimation, linear regression, analysis of variance. Examples from many disciplines including the social and natural sciences. Statistical software is used. 3 sh.

Prerequisites: MATH 221 with a grade of C- or better.

STAT401: Applied Statistics for the Sciences (3 hours lecture)

Organizing, displaying, and describing data; designing experiments; methods for drawing conclusions from data; significance testing, confidence intervals, linear regression, analysis of variance, chi-square tests of independence. Examples from disciplines in the natural and physical sciences. Statistical software is used. Not for Mathematics and Computer Science majors. 3 sh.

Prerequisites: MATH 111 or Math 112.

STAT403: Techniques and Applications of Statistics (3 hours lecture)

Statistical techniques for the social and behavioral sciences including estimation, tests of hypothesis, non-parametric statistics, regression and correlation. May not be taken for credit by mathematic majors. 3 sh.

Prerequisites: MATH 112.

STAT441: Statistical Computing (3 hours lecture)

This course is designed: (1) to acquaint students with the use of the computer in solving statistical problems, and (2) to develop intermediate level statistical methodology. Several statistical computing packages and the student's own programs will be utilized. 3 sh.

Prerequisites: STAT 330 or STAT 401 with a grade of C- or better.

STAT442: Fundamentals of Modern Statistics II (3 hours lecture)

Continuation of STAT 440. Principles of statistical inference, categorical data analysis, one and two-way anova, multiple linear regression, nonparametric methods, bootstrap methods. Examples from a wide variety of disciplines. Statistical software is used. 3 sh.

Prerequisites: STAT 330 with a grade of C- or better or STAT 401 with a grade of C- or better.

STAT443: Introduction to Mathematical Statistics (3 hours lecture)

Develops statistical methods from probability theory. Topics discrete and continuous probability distributions, estimation, inference and hypothesis testing. 3 sh.

Prerequisites: MATH 340 with a grade of C- or better; and STAT 330 or STAT 401 with a grade of C- or better.

STAT481: Introduction to Statistical Data Mining (3 hours lecture)

Introduction to the concepts and applications of a variety of data-mining methods. Data mining is the process of selecting, exploring, and modeling large amounts of data to uncover previously unknown patterns in the data. Statistical techniques covered include classification and regression trees, predictive modeling, and unsupervised learning. Hands-on applications to data sets from diverse fields. Statistical software is used. 3 sh.

Prerequisites: STAT 442 with a grade of C- or better.

STAT487: Statistical Genomics (3 hours lecture)

Analysis of discrete data illustrated with genetic data on morphological characters, allozymes, restriction fragment length polymorphisms and DNA sequences. Maximum likelihood and Bayesian estimation including iterative procedures. Numerical resampling and bootstrapping. Development of statistical techniques for characterizing genetic disequilibrium and diversity. Locating genes with markers. Cross listed with Biology and Molecular Biology BIOL 487. 3 sh.

Prerequisites: BIOL 380 and STAT 330 or STAT 401, or equivalent.

STAT495: Topics in Statistical Science

Guided study of selected topics in statistical science such as exploratory data analysis, applied multivariate methods, statistical quality control, design of experiment. May be repeated once for a maximum of 6.0 credits. 1 - 3 sh.

Prerequisites: STAT 330 with a grade of C- or better or STAT 401 with a grade of C- or better.

STAT497: Undergraduate Research in Statistical Science

Individual research in an area of statistical science agreed upon by the student and instructor. The results of the research will be the basis of a seminar or colloquium to be given by the student. May be repeated five times for a total of six credits. Students must not accumulate more than six credits total in courses MATH 497, MATH 498, STAT 495, STAT 497. 1 - 3 sh.

Prerequisites: STAT 442 with a grade of C- or better and departmental approval.

STAT541: Applied Statistics (3 hours lecture)

Review of estimation and hypothesis testing for one sample and two sample problems; introduction to non-parametric statistics and linear regression; fundamental principles of design, completely randomized design, randomized block design, latin square, and 2 factor design. 3 sh.

Prerequisites: STAT 330 or STAT 443 and permission of graduate program coordinator.

STAT542: Statistical Theory I (3 hours lecture)

Discrete and continuous probability distributions, multivariate distributions, sampling theory, transformations, Chi-squared, 'F' and 't' distributions. Point estimation, properties of estimators, sufficiency, exponential families, interval estimation, hypothesis testing, power, Neyman-Pearson Lemma, likelihood ratio tests. The impact of the above theory on areas such as regression analysis, analysis of variance and analysis of discrete data. 3 sh.

Prerequisites: STAT 541 and permission of graduate program coordinator.

STAT543: Statistical Theory II (3 hours lecture)

Discrete and continuous probability distributions, multivariate distributions, sampling theory, transformations, Chi-squared, 'F' and 't' distributions. Point estimation, properties of estimators, sufficiency, exponential families, interval estimation, hypothesis testing, power, Neyman-Pearson Lemma, likelihood ratio tests. The impact of the above theory on areas such as regression analysis, analysis of variance and analysis of discrete data. 3 sh.

Prerequisites: STAT 542 and permission of graduate program coordinator.

STAT544: Statistical Computing (3 hours lecture)

Computer systems for data analysis and data graphics, and intermediate level statistical methodology are investigated. Several statistical computing packages are utilized and evaluated. 3 sh.

Prerequisites: STAT 541 or STAT 548, and CMPT 183, and permission of graduate program coordinator.

STAT545: Practicum in Statistics I

An applied experience in which students work with practitioners in industry, government or research organizations utilizing statistical techniques in a research setting. Students will work with statisticians on projects involving experimental design and data collection as well as the analysis and interpretation of the data. May be repeated once. 3 sh.

Prerequisites: STAT 541, STAT 544, and STAT 547 or STAT 548, and permission of graduate program coordinator.

STAT546: Non-Parametric Statistics (3 hours lecture)

Selected distribution-free tests and estimation techniques including sign, Kolmogorov-Smirnov, Wilcoxon signed rank, Mann-Whitney, Chi-square, rank correlation, Kendall's Tau, Kruskal-Wallace, Friedman, McNemar, and others. 3 sh.

Prerequisites: STAT 330 and permission of graduate program coordinator.

STAT547: Design and Analysis of Experiments (3 hours lecture)

Fundamental principles of design; fixed, random and mixed models; factorial designs; designs with restricted randomization; split-plot design; confounding; fractional replication; experimental and sampling errors. 3 sh.

Prerequisites: STAT 541 or STAT 548, and permission of graduate program coordinator.

STAT548: Applied Regression Analysis (3 hours lecture)

Fitting equations to data; matrices, linear regression; correlation; analysis of residuals; multiple regression; polynomial regression; partial correlation; stepwise regression; regression and model building; regression applied to analysis of variance problems; introduction to nonlinear regression. 3 sh.

Prerequisites: STAT 330 or STAT 443, and permission of graduate program coordinator.

STAT549: Sampling Techniques (3 hours lecture)

Sampling and survey methodology; basic sampling theory; simple, stratified, random, cluster, systematic and area sampling. Sampling errors and estimation procedures. 3 sh.

Prerequisites: STAT 330 or STAT 443, and permission of graduate program coordinator.