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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. Inclass quizzes and activities will be administered at random.
There are no makeups for
missed inclass quizzes.
Three tests will focus on problem solving skills ; makeup
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: 19 
27  Power Series , Power Series Expansions  Chapter 1: 1015 
29  Complex Numbers , Complex Algebra, Complex Series  Chapter 2: 17 
Sep. 1  LABOR DAY HOLIDAY   
3  Functions of Complex Numbers , Applications  Chapter 2: 817 
5  Matrices and Determinants  Chapter 3: 13 
8  Vectors, Lines and Planes, Matrix operations  Chapter 3: 46 
10  Linear Combinations , Linear Operators  Chapter 3: 79 
12  Linear Vector Spaces, Eigenvalues and Eigenvectors  Chapter 3: 1011 
15  Eigenvalues and Eigenvectors, Applications  Chapter 3: 1112 
17  Review of Chapters 13   
Sep. 19  TEST 1   
22  Partial Derivatives, Differentials, Chain rule  Chapter 4: 15 
24  Implicit Differentiation, Chain rule, Applications  Chapter 4: 58 
26  Extrema, Lagrange Multipliers, Change of Variables  Chapter 4: 912 
29  Multiple Integrals , Applications  Chapter 5: 13 
Oct. 1  Applications, Change of Variables  Chapter 5: 34 
3  Surface Integrals  Chapter 5: 5 
6  Vector Products , Differentiation of Vectors, Fields  Chapter 6: 15 
8  The Gradient, Line Integrals  Chapter 6: 68 
10  Line Integrals, Green’s Theorem, The Divergence  Chapter 6: 810 
13  The Divergence and Curl, Stokes’ Theorem  Chapter 6: 1011 
15  Orthogonal Curvilinear Coordinates and Vector Operators  Chapter 10: 89 
17  Review of Chapters 46   
Oct. 20  TEST 2   
22  Harmonic Motion and Fourier Series  Chapter 7: 15 
24  Fourier Coefficients , Complex Forms, Parity  Chapter 7: 511 
27  Fourier Transforms  Chapter 7: 12 
29  Separable and FirstOrder Differential Equations  Chapter 8: 14 
31  Second Order Differential Equations  Chapter 8: 56 
Nov. 3  Second Order Differential Equations, The Laplace Transform  Chapter 8: 68 
5  Solutions by Laplace Transforms, and Dirac Delta  Chapter 8: 811 
7  Green Functions  Chapter 8: 12 
10  Calculus of Variations, The Euler Equation and Applications  Chapter 9: 13 
12  Applications of The Euler Equation, Lagrange’s Equations  Chapter 9: 35 
14  Series Solutions to Differential Equations, Legendre Polynomials  Chapter 12: 15 
17  Completeness and Orthonormality, Associated Legendre Polynomials  Chapter 12: 610 
19  Bessel Functions  Chapter 12: 1217 
21  Hermite and Laguerre Functions, Ladder Operators  Chapter 12: 22 
24  Review of Chapter 79, 12   
Nov. 26  TEST 3   
Nov. 28  THANKSGIVING HOLIDAY   
Dec. 1  Partial Differential Equations, Laplace’s Equation  Chapter 13: 12 
3  Heat Flow Equation, The Wave Equation, Schrödinger’s Equation  Chapter 13: 34 
Dec. 5  COMPREHENSIVE REVIEW   
Dec. 10  COMPREHENSIVE FINAL EXAM   
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