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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 course grade will be calculated as follows: Tests 40% (13.3% each), Homework and Quizzes 40%,
Final Exam 20%.
Fall 2008 Schedule
|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||--|