Physics Major (B.S.) - Undergraduate (Combined B.S./M.S. Pure & Applied Mathematics) - 2015 University Catalog

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.

Students interested in this combined program should consult the Undergraduate Advisor after completing MATH 335 Linear Algebra.


PHYSICS MAJOR (BS/MS)

Complete 84 semester hours including the following 3 requirement(s):

  1. PHYSICS REQUIRED COURSES

    Complete the following for 24 semester hours:

    PHYS 191 University Physics I (3 hours lecture, 2 hours lab) 4
    PHYS 192 University Physics II (3 hours lecture, 2 hours lab) 4
    PHYS 210 Mechanics (3 hours lecture, 2 hours lab) 4
    PHYS 240 Electricity and Magnetism (3 hours lecture, 2 hours lab) 4
    PHYS 350 Optics (3 hours lecture, 2 hours lab) 4
    PHYS 460 Modern Physics (3 hours lecture, 2 hours lab) 4
  2. PHYSICS ELECTIVE COURSES

    Complete a minimum of 14 semester hours from the following:

    EAES 105 Physical Geology (3 hours lecture, 2 hours lab) 4
    PHYS 242 Circuit Theory (2 hours lecture, 2 hours lab) 3
    PHYS 245 Electronics and Digital Circuits (2 hours lecture, 2 hours lab) 3
    PHYS 247 Microprocessors and Their Applications (2 hours lecture, 2 hours lab) 3
    PHYS 280 Astronomy (3 hours lecture, 2 hours lab) 4
    PHYS 310 Advanced Mechanics (3 hours lecture) 3
    PHYS 320 Thermodynamics (3 hours lecture) 3
    PHYS 368 Fluid Mechanics (3 hours lecture) 3
    PHYS 377 Mathematical Physics (3 hours lecture) 3
    PHYS 380 Observational Astronomy (3 hours lecture, 2 hours lab) 4
    PHYS 430 Computer Simulations of Physical Systems (3 hours lecture) 3
    PHYS 462 Nuclear Physics (3 hours lecture, 2 hours lab) 4
    PHYS 464 Quantum Mechanics (3 hours lecture) 3
    PHYS 470 Solid State Physics (3 hours lecture) 3
    PHYS 480 Astrophysics (3 hours lecture) 3
    PHYS 490 Literature Research in Physics (2 hours lecture) 2
    PHYS 495 Laboratory Research in Physics 1-4
  3. COLLATERAL COURSES

    Complete the following for 27 semester hours:

    CHEM 120 General Chemistry I (3 hours lecture, 3 hours lab) 4
    CHEM 121 General Chemistry II (3 hours lecture, 3 hours lab) 4
    CSIT 111 Fundamentals of Programming I (3 hours lecture) 3
    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 420 Ordinary Differential Equations (4 hours lecture) 4
  4. PREREQUISITE COURSES

    Complete the following 2 courses (prerequisites for graduate courses):

    MATH 335 Linear Algebra (4 hours lecture) 4
    MATH 431 Foundations of Modern Algebra (3 hours lecture) 3
  5. GRADUATE REQUIREMENTS

    Complete the following for 12 semester hours:

    1. Complete 0 semester hours - 6 semester hours from the following if equivalent courses not taken previously:

      MATH 515 Intermediate Analysis I (3 hours lecture) 3
      MATH 516 Intermediate Analysis II (3 hours lecture) 3
      MATH 518 Foundations of Abstract Algebra (3 hours lecture) 3
    2. Complete 6 semester hours - 12 semester hours from the following (These courses will also count toward the MS portion of this program):

      MATH 521 Real Variables I (3 hours lecture) 3
      MATH 525 Complex Variables I (3 hours lecture) 3
      MATH 530 Mathematical Computing (3 hours lecture) 3
      MATH 531 Abstract Algebra I (3 hours lecture) 3
      MATH 535 Linear Algebra I (3 hours lecture) 3
      MATH 560 Numerical Analysis (3 hours lecture) 3
      MATH 584 Operations Research (3 hours lecture) 3
      MATH 591 Applied Industrial Mathematics (3 hours lecture) 3

Course Descriptions:

CHEM120: General Chemistry I (3 hours lecture, 3 hours lab)

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. 4 sh.

Prerequisites: Satisfactory score on the Mathematics readiness test OR a grade of C- or better in MATH 100 or MATH 111 or MATH 112 or MATH 116 or MATH 122 or MATH 221 or MATH 222 OR concurrent enrollment in MATH 100. Satisfactory score on the Chemistry readiness test OR a grade of C- or better in CHEM 105 or CHEM 106.

CHEM121: General Chemistry II (3 hours lecture, 3 hours lab)

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 with a grade of C- or better.

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.

EAES105: Physical Geology (3 hours lecture, 2 hours lab)

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. Previous course GEOS 112 effective through Spring 2012. 4 sh.

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.

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.

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.

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.

MATH515: Intermediate Analysis 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: Permission of graduate program coordinator.

MATH516: Intermediate Analysis II (3 hours lecture)

This course is a continuation of MATH 515. Topics include 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 515 or MATH 425 or equivalent, permission of graduate program coordinator.

MATH518: Foundations of Abstract Algebra (3 hours lecture)

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

Prerequisites: Permission of graduate program coordinator.

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.

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.

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.

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.

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.

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.

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.

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.

PHYS210: Mechanics (3 hours lecture, 2 hours lab)

Classical mechanics: Kinematics, Newton's laws, impulse and momentum, statics, work and energy, oscillations, general motion, central force motion, non-inertial frames, system of particles, methods of handling data. 4 sh.

Prerequisites: PHYS 191.

PHYS240: Electricity and Magnetism (3 hours lecture, 2 hours lab)

Basic principles of electromagnetism: Coulomb's law and general techniques in electrostatics, currents and their associated magnetic field, electromagnetic induction and magnetic properties of materials. Foundations of Maxwell's equations (without detailed solutions). Laboratory experiments. 4 sh.

Prerequisites: PHYS 192; and MATH 222 is a prerequisite or corequisite.

PHYS242: Circuit Theory (2 hours lecture, 2 hours lab)

Introduces basic methods in circuit analysis and design. Topics include linear electric circuits and their response, circuit theorems, filters, Fourier analysis of different inputs and outputs, and transmission lines. 3 sh.

Prerequisites: PHYS 192 or PHYS 194 and MATH 221.

PHYS245: Electronics and Digital Circuits (2 hours lecture, 2 hours lab)

An introduction to the principles of amplifiers, waveform generators, and digital circuits, with emphasis on the use of commonly available integrated circuit packages. 3 sh.

Prerequisites: PHYS 192 or 194.

PHYS247: Microprocessors and Their Applications (2 hours lecture, 2 hours lab)

One semester course providing an introduction to the principles, operations and applications of microprocessors including experiment control and data manipulation. 3 sh.

Prerequisites: PHYS 192 or 194.

PHYS280: Astronomy (3 hours lecture, 2 hours lab)

Application of physical laws to the earth as a planet; nature of the other planets; orbital motion and space flight; origin of the solar system; the birth, life and death of a star galactic structure; and cosmology. Meets the University Writing Requirement for majors in Physics. 4 sh.

Prerequisites: PHYS 191, 192 or PHYS 193, 194.

PHYS310: Advanced Mechanics (3 hours lecture)

Classical mechanics; transformations, oscillators, generalized motion; Lagrange's equations; Hamilton's equation; small oscillations; wave propagation. (Offered alternate years.) Meets the University Writing Requirement for majors in Physics. 3 sh.

Prerequisites: MATH 222, and 420, and PHYS 210.

PHYS320: Thermodynamics (3 hours lecture)

Thermodynamic systems; laws of thermodynamics; entropy; kinetic theory; transport processes; statistical thermodynamics. (Offered alternate years.) 3 sh.

Prerequisites: MATH 222 and PHYS 210.

PHYS350: Optics (3 hours lecture, 2 hours lab)

Propagation of light, optical components, instruments and photometry. Interference, diffraction and polarization with elements of spectroscopy. (Offered alternate years.) Meets the University Writing Requirement for majors in Physics. 4 sh.

Prerequisites: PHYS 240.

PHYS368: 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 MATH 368. Previous course PHYS 468 effective through Spring 2014. 3 sh.

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

PHYS377: Mathematical Physics (3 hours lecture)

Vector analysis, complex variables, ordinary and partial differential equations, matrices. (Not offered every year.) 3 sh.

Prerequisites: 2 years of physics and MATH 222.

PHYS380: Observational Astronomy (3 hours lecture, 2 hours lab)

Observational techniques for the Moon, planets, satellites of other planets, asteroids, comets, stars, star clusters, and galaxies. 4 sh.

Prerequisites: PHYS 191, PHYS 192 or PHYS 193, PHYS 194.

PHYS430: Computer Simulations of Physical Systems (3 hours lecture)

This course applies computer techniques and numerical analysis to model physical systems. Simulations and calculations will be done of falling bodies, gravitational orbits, scattering, oscillations, electrical circuits, molecular dynamics, Monte Carlo techniques, chaos, and quantum systems. 3 sh.

Prerequisites: MATH 221, PHYS 191, PHYS 192, and CMPT 183.

PHYS460: Modern Physics (3 hours lecture, 2 hours lab)

Special relativity, kinetic theory of matter; quantization of electricity, light and energy; nuclear atom; elementary quantum mechanics and topics on solid state. (Offered alternate years.) 4 sh.

Prerequisites: PHYS 210, 240.

PHYS462: Nuclear Physics (3 hours lecture, 2 hours lab)

Nuclear radiation; radioactive decay; detectors; nuclear spectroscopy and reactions; theories and models; fission, fusion, reactors; and application of radioisotopes. (Offered alternate years.) Meets the University Writing Requirement for majors in Physics. 4 sh.

Prerequisites: PHYS 210, 240.

PHYS464: Quantum Mechanics (3 hours lecture)

Shroedinger's wave equation, its application and interpretation; Pauli exclusion principle and spectra. (Offered alternate years.) 3 sh.

Prerequisites: PHYS 460.

PHYS470: Solid State Physics (3 hours lecture)

Properties of solid state matter are developed from the quantum mechanics of atoms and molecules. (Not offered every year.) 3 sh.

Prerequisites: PHYS 460.

PHYS480: Astrophysics (3 hours lecture)

The laws of physics applied to planetary structure, stars and their evolution in time, the interstellar medium, galaxies, and large-scale structure of the universe. 3 sh.

Prerequisites: PHYS 191, 192 or PHYS 193, 194; PHYS 280; MATH 221. Prerequisite or corequisite: STAT 401.

PHYS490: Literature Research in Physics (2 hours lecture)

Student considers topics in physics and gains facility in literature research techniques: topics in pure physics or related to physics education. Students intending to enroll in laboratory research in physics should use PHYS 490 to provide the literature research related to his/her laboratory problem. (Not offered every year.) 2 sh.

Prerequisites: At least 16 credit hours of physics beyond PHYS 192.

PHYS495: Laboratory Research in Physics

Solution of a laboratory problem research in pure physics or in physics education. Written report required. (Not offered every year.) 1 - 4 sh.

Prerequisites: At least 16 credit hours of physics beyond PHYS 192.