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Math Physics

DESCRIPTION: An introduction to specific mathematical topics as applied to standard problems
in physics. Prerequisite: Mathematics 2332 (Calculus II).

STUDENT LEARNING OUTCOMES: To understand the mathematical foundations of Mechanics,
Electromagnetism and Quantum Theory. Specifically, to
study the solutions and applications of problems in differential
equations, linear algebra , and vector calculus.

MATERIALS: "Mathematical Methods in the Physical Sciences” 3^rd edition by Mary Boas.
An Integral Table (CRC, Dwights, etc…) is recommended but not required.

Angelo State University expects its students to maintain complete honesty and integrity in their academic
pursuits. Students are responsible for understanding the Academic Honor Code, which is contained in both
print and web versions of the Student Handbook.

Persons with disabilities which may warrant academic accommodations must contact the Student Life
Office, Room 112 University Center, in order to request such accommodations prior to any
accommodations being implemented. You are encouraged to make this request early in the semester so that
appropriate arrangements can be made.

Attendance is required and will be taken at all class meetings.

Homework will be assigned regularly and will be due promptly at the beginning of the class meeting
designated. In-class quizzes and activities will be administered at random. There are no make-ups for
missed in-class quizzes.

Three tests will focus on problem- solving skills ; make-up tests will be available only under very special
circumstances. The final exam will be comprehensive. Partial Differential Equations will only be tested on
the final.
The course grade will be calculated as follows: Tests 40% (13.3% each), Homework and Quizzes 40%,
Final Exam 20%.

Physics 3301
Fall 2008 Schedule

DATE TOPIC TEXT
SECTIONS
Aug. 25 Introduction, Infinite Series, Convergence, Applications Chapter 1: 1-9
27 Power Series , Power Series Expansions Chapter 1: 10-15
29 Complex Numbers , Complex Algebra, Complex Series Chapter 2: 1-7
Sep. 1 LABOR DAY HOLIDAY --
3 Functions of Complex Numbers , Applications Chapter 2: 8-17
5 Matrices and Determinants Chapter 3: 1-3
8 Vectors, Lines and Planes, Matrix operations Chapter 3: 4-6
10 Linear Combinations , Linear Operators Chapter 3: 7-9
12 Linear Vector Spaces, Eigenvalues and Eigenvectors Chapter 3: 10-11
15 Eigenvalues and Eigenvectors, Applications Chapter 3: 11-12
17 Review of Chapters 1-3 --
Sep. 19 TEST 1 --
22 Partial Derivatives, Differentials, Chain rule Chapter 4: 1-5
24 Implicit Differentiation, Chain rule, Applications Chapter 4: 5-8
26 Extrema, Lagrange Multipliers, Change of Variables Chapter 4: 9-12
29 Multiple Integrals , Applications Chapter 5: 1-3
Oct. 1 Applications, Change of Variables Chapter 5: 3-4
3 Surface Integrals Chapter 5: 5
6 Vector Products , Differentiation of Vectors, Fields Chapter 6: 1-5
8 The Gradient, Line Integrals Chapter 6: 6-8
10 Line Integrals, Green’s Theorem, The Divergence Chapter 6: 8-10
13 The Divergence and Curl, Stokes’ Theorem Chapter 6: 10-11
15 Orthogonal Curvilinear Coordinates and Vector Operators Chapter 10: 8-9
17 Review of Chapters 4-6 --
Oct. 20 TEST 2 --
22 Harmonic Motion and Fourier Series Chapter 7: 1-5
24 Fourier Coefficients , Complex Forms, Parity Chapter 7: 5-11
27 Fourier Transforms Chapter 7: 12
29 Separable and First-Order Differential Equations Chapter 8: 1-4
31 Second Order Differential Equations Chapter 8: 5-6
Nov. 3 Second Order Differential Equations, The Laplace Transform Chapter 8: 6-8
5 Solutions by Laplace Transforms, and Dirac Delta Chapter 8: 8-11
7 Green Functions Chapter 8: 12
10 Calculus of Variations, The Euler Equation and Applications Chapter 9: 1-3
12 Applications of The Euler Equation, Lagrange’s Equations Chapter 9: 3-5
14 Series Solutions to Differential Equations, Legendre Polynomials Chapter 12: 1-5
17 Completeness and Orthonormality, Associated Legendre Polynomials Chapter 12: 6-10
19 Bessel Functions Chapter 12: 12-17
21 Hermite and Laguerre Functions, Ladder Operators Chapter 12: 22
24 Review of Chapter 7-9, 12 --
Nov. 26 TEST 3 --
Nov. 28 THANKSGIVING HOLIDAY --
Dec. 1 Partial Differential Equations, Laplace’s Equation Chapter 13: 1-2
3 Heat Flow Equation, The Wave Equation, Schrödinger’s Equation Chapter 13: 3-4
Dec. 5 COMPREHENSIVE REVIEW --
Dec. 10 COMPREHENSIVE FINAL EXAM --
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