Welcome to the Mathematical and Computational Physics
course web page. This course is offered Fall Semester 1998. Here we will
provide information about the course as well as materials. Both lecture
materials and other background materials will be provided as the course
developes.
Course Meeting Time and Places:
Meeting Date | Lecture Topic | Supporting Materials |
---|---|---|
Aug. 26 | Introduction & Unix I | UNIXhelp for Users Tutorial Material |
Aug. 31 | Unix II | UNIXhelp for Users Tutorial Material |
Sept. 2 | Taylor expansion of a function; Introduction to Mathematica | Taylor Expansion Notes :Boas, Chap. 1 |
Sept. 7 | Labor Day-- No Class | Work through Unix help web pages |
Sept. 9 | Numerical Differentiation | Numerical Differentiation Notes |
Sept. 14 | Numerical Integration I | Numerical Integration Notes |
Sept. 16 | Matrix Algebra I | Boas Chap 4 |
Sept. 21 | Matrix Algebra II | Boas Chap 4 |
Sept. 23 | Eigenvalue Problem | Notes on Eigenvalue Problem; Mathematica Notebook |
Sept. 28 | Linear Equation Solvers I | Boas Chap 4 and Mathematica Notebook |
Sept. 30 | Linear Equation Solvers II | Boas Chap 4 and Mathematica Notebook |
Oct. 5 |
Exam I |
Covers all material from beginning through Lin. Eqn. |
Oct. 7 | Complex numbers and functions | Boas Chap 2 |
Oct. 12 | Finding Roots | Notes on Newton's Method; Mathematica Notebook |
Oct. 14 | Introduction to Chaos | Logistic Map Notes |
Oct. 19 | Differential Equations I | Boas Chap 8 |
Oct. 21 | Differential Equations II | Boas Chap 12 |
Oct. 26 | Differential Equations III | Boas Chap 12 |
Oct. 28 | Numerical Methods for Diff. Eqns. I | Numerical Methods for Differential Equations Notes |
Nov. 2 | Numerical Methods for Diff. Eqns. II | Numerical Methods for Differential Equations Notes |
Nov. 4 | Numerical Methods for Diff. Eqns. III | Numerical Methods for Differential Equations Notes |
Nov. 9 | Exam II | Covers all material since the first exam |
Nov. 11 | No Class -- Veteran's Day | |
Nov. 16 | Vector Analysis I: scalar & vector product | Notes on Vector Analysis ; Boas Chap 6 |
Nov. 18 | Vector Analysis II: velocity & acceleration in noninertial frames | Notes on Vector Analysis ; Boas Chap 6 |
Nov. 23 | Vector Analysis III: gradient and directional derivative | Notes on Vector Analysis ; Boas Chap 6 |
Nov. 30 | Vector Analysis IV: divergence and Gauss' law | Notes on Vector Analysis ; Boas Chap 6 |
Dec. 2 | Vector Analysis V: line integrals and conservative vector fields | Notes on Vector Analysis ; Boas Chap 6 |
Dec. 7 | Vector Analysis VI: curl and Stokes' theorem | Notes on Vector Analysis ; Boas Chap 6 |
Dec. 9 | Special Topic | TBA |
Dec. 14-18 | Exam Week | TBA |