
Complete 57 semester hours including the following 4 requirement(s):
Complete the following 5 courses:
| MATH | 122 | Calculus I | 4 |
| MATH | 221 | Calculus II | 4 |
| MATH | 222 | Calculus III | 4 |
| MATH | 335 | Linear Algebra | 4 |
| MATH | 340 | Probability | 3 |
Complete the following 2 requirements:
Complete the following 3 courses:
| MATH | 469 | Mathematical Modeling | 3 |
| STAT | 330 | Fundamentals of Modern Statistics I | 3 |
| STAT | 443 | Introduction to Mathematical Statistics | 3 |
Complete 1 course from the following:
| STAT | 441 | Statistical Computing | 3 |
| STAT | 442 | Fundamentals of Modern Statistics II | 3 |
Complete 12 semester hours from the following:
Complete the following 2 requirements:
Complete the following 2 courses:
| CMPT | 183 | Foundations of Computer Science I | 3 |
| CMPT | 184 | Foundations of Computer Science II | 3 |
Complete 1 of the following sequences:
Complete 2 courses:
| PHYS | 191 | University Physics I | 4 |
| PHYS | 192 | University Physics II | 4 |
Complete 2 courses:
| CHEM | 120 | General Chemistry I | 4 |
| CHEM | 121 | General Chemistry II | 4 |
Complete 2 courses:
| BIOL | 112 | Principles of Biology I | 4 |
| BIOL | 113 | Principles of Biology II | 4 |
Complete 2 courses:
| GEOS | 112 | Physical Geology | 4 |
| GEOS | 114 | Historical Geology | 4 |
Complete 3 courses:
| ECON | 101 | Principles of Economics: Macro | 3 |
| ECON | 102 | Principles of Economics: Micro | 3 |
| MGMT | 231 | Management Processes | 3 |
Complete 3 courses:
| ACCT | 201 | Fundamentals of Financial Accounting | 3 |
| ACCT | 202 | Fundamentals of Managerial Accounting | 3 |
| MGMT | 231 | Management Processes | 3 |
This is an introductory course in financial accounting from a user's perspective. The theoretical foundation and basic accounting terminology are addressed. The basic financial statements consisting of the balance sheet, income statement, statement of stockholder's equity and the statement of cash flows are presented and discussed. Financial statement analysis including ratios analysis will help students to make sound decisions as investors, creditors, and managers. 3 sh.
This course introduces basic concepts of management accounting including cost classifications, product costing, cost-volume profit analysis, variable costing, operating budgeting, standards and performance evaluation, balance score card and non-routine decisions. The course will illustrate the use of accounting information by managers for internal decision-making purposes. 3 sh.
Prerequisites: ACCT 201.
Principles of Biology I involves the study of life from molecule to multicellular organism with focus on structure and function of cells, mechanisms of heredity and change, and the ways in which these processes shape higher levels of biological organization. This course is designed to fulfill the first core course requirement of the biology major. 4 sh.
Prerequisites: For incoming freshmen Spring 2007 and before, BIOL 100 or minimum MSUPT composite score of 160 for writing and reading. For incoming freshmen as of Fall 2007 and thereafter, Basic Skills Reading Test of >61 AND Basic Skills Math Test (arithmetic) of >74 OR grade of "C" or better in BIOL 100.
Principles of Biology II will provide an introductory level study of biodiversity and the origins of life, phylogenetic relationships among organisms, genetics, developmental biology, reproduction, the biology of populations and communities, and ecosystem processes. Meets Gen Ed 2002 - Interdisciplinary Core, Scientific Issues. 4 sh.
Prerequisites: For incoming freshmen Spring 2007 and before, BIOL 100 or minimum MSUPT composite score of 160 for writing and reading. For incoming freshmen as of Fall 2007 and thereafter, Basic Skills Reading Test of >61 AND Basic Skills Math Test (arithmetic) of >74 OR grade of "C" or better in BIOL 100.
Introductory lecture and laboratory course for science majors, prerequisite for all advanced chemistry courses. Introduction to atomic and molecular structure, bonding, stoichiometry, states of matter, solutions, and selected topics in descriptive inorganic chemistry. Laboratory stresses techniques and data treatment and their use in examining chemical systems. Meets the 1983 General Education Requirement (GER) - Natural/Physical Science, Laboratory or Non-Laboratory Science. 4 sh.
Prerequisites: One year of high school chemistry.
Introductory lecture and laboratory course for science majors, prerequisite for all advanced chemistry courses. Introduction to thermochemistry, kinetics; general acid base, precipitation, redox equilibria, electrochemistry and selected topics in descriptive inorganic chemistry. Laboratory stresses techniques and data treatment and their use in examining chemical systems. 4 sh.
Prerequisites: CHEM 120.
Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. Meets the 1983 General Education Requirement (GER) - Mathematics, Computer Science. 3 sh.
Prerequisites: MATH 100, MATH 112, MATH 114, MATH 116, MATH 122 or MATH 221.
Continuation of CMPT 183. Algorithm development involving user functions; subroutines, recursions, structures file manipulation. 3 sh.
Prerequisites: CMPT 183.
A study of the American economy, analytically and institutionally; the achievement of an optimal allocation of resources, price stability, full employment level of national income and long term growth. Meets Gen Ed 2002 - Social Science, Social Science. Meets the 1983 General Education Requirement (GER) - Social Science, Survey Course. 3 sh.
Organization and operation of the American economy for the production and distribution of goods and services. Pricing of products and factors of production in market situations varying from competition to monopoly. Resource allocation, price determination and behavior of the firm in the determination of quantity of output and the hiring of factors of production. Meets Gen Ed 2002 - Social Science, Social Science. Meets the 1983 General Education Requirement (GER) - Social Science, Survey Course. 3 sh.
Materials of the earth; landforms and structures; the processes and agents responsible for their formation and modification. Modern tectonic concepts. Topographic and geologic maps. Required field trips. Not open to students who have had Principles Of Geology. Meets Gen Ed 2002 - Natural/Physical Science Laboratory. Meets the 1983 General Education Requirement (GER) - Natural/Physical Science, Laboratory or Non-Laboratory Science. 4 sh.
Prerequisites: Not open to students who have had Principles of Geology.
Geological history of the earth; the evolution of North America in terms of the changing geography, climate, and plant and animal life as interpreted from the rock and fossil record. Required field trips. Meets Gen Ed 2002 - Natural/Physical Science Laboratory. Meets the 1983 General Education Requirement (GER) - Natural/Physical Science, Laboratory or Non-Laboratory Science. 4 sh.
Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 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.)
Riemann integral applications, transcendental functions, techniques of integration, improper integrals, L'Hospital's rule, infinite series. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 4 sh.
Prerequisites: MATH 122.
Vector algebra; partial differentiation, and extreme considerations; polar, cylindrical, and spherical coordinates, multiple integration; introduction to line integrals. 4 sh.
Prerequisites: MATH 221.
This course will help students explore mathematics and conjecture results by using technology to 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. 3 sh.
Prerequisites: MATH 221 or equivalent.
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 Mathematics majors. 4 sh.
Prerequisites: MATH 222 or equivalent.
Chance and variability, elements of combinatorics, Bayes' theorem, random variables, binomial, poisson and normal distributions, applications to statistics. 3 sh.
Prerequisites: MATH 221.
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 222.
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.
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.
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. 3 sh.
Prerequisites: MATH 335.
Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. 3 sh.
Prerequisites: MATH 335.
Functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series, uniform convergence. 3 sh.
Prerequisites: MATH 425.
Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 3 sh.
Prerequisites: MATH 335.
Properties of integers, congruences, quadratic reciprocity law, primitive roots, diophantine equations, continued fractions, algebraic numbers, lattice points and partitions. 3 sh.
Prerequisites: MATH 335.
Deduction, propositional functions, quantifiers, consistency, decision problems and Goedel's theorem. 3 sh.
Prerequisites: MATH 335.
Groups of transformations, an introduction to projective geometry. 3 sh.
Prerequisites: MATH 335.
Topological spaces, metric spaces, continuity, compactness, connectedness, and separability properties; topological generalizations of basic continuity theorems of advanced calculus. 3 sh.
Prerequisites: MATH 425.
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 335.
Finite differences, approximation theory, linear and non-linear equations, error analysis. 3 sh.
Prerequisites: MATH 222 and 335.
Linear programming, transportation problem, assignment problem, duality, sensitivity analysis, network flows, dynamic programming, nonlinear programming, integer programming. 3 sh.
Prerequisites: MATH 335.
Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. 3 sh.
Prerequisites: MATH 335 and 340.
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.
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.
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 and environmental problems. Cross listed with PHYS 468. 3 sh.
Prerequisites: PHYS 210 or MATH 222.
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 335, and MATH 340, and MATH 464 or STAT 330.
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.
A modern introduction to the application of number theory, combinatorics and abstract algebra to cryptography. The mathematics of a broad range of current applications to security issues in industry and government will be covered. Use of Maple Computer Algebra System. 3 sh.
Prerequisites: MATH 335.
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 and departmental approval.
Study of advanced topics in undergraduate mathematics. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 1 - 3 sh.
Prerequisites: MATH 335 and departmental approval.
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 and departmental approval.
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 and departmental approval.
To provide undergraduate students a review of classical and modern approaches to the managerial process as it relates to the manager's functions of planning, organizing, communication, motivation, leading, controlling, and managing change. Emphasizing new forces in the managerial environment such as workplace diversity and economic globalization, these reviews will be tied to the open-system model and the contingency approach as overall frameworks for understanding organizations and management. 3 sh.
Prerequisites: SPCM 101 or ENWR 105 or HONP 100.
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. Meets the 1983 General Education Requirement (GER) - Natural/Physical Science, Laboratory or Non-Laboratory Science. 4 sh.
Prerequisites: MATH 122 is prerequisite or co-requisite.
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. Meets the 1983 General Education Requirement (GER) - Natural/Physical Science, Laboratory or Non-Laboratory Science. 4 sh.
Prerequisites: MATH 221 is prerequisite or corequisite.
Displaying, describing and modeling data; arrangements for producting 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.
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 and computer experience.
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 or STAT 401 or equivalent.
Develops statistical methods from probability theory. Topics discrete and continuous probability distributions, estimation, inference and hypothesis testing. 3 sh.
Prerequisites: MATH 340 and either STAT 330 or STAT 401.
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 330 or STAT 401 or equivalent.
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 Bioilogy BIOL 487. 3 sh.
Prerequisites: BIOL 380 and STAT 330 or STAT 401, or equivalent.
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 or STAT 401 and department approval.
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 and departmental approval.
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