General Information | Syllabus | Assignments | Matlab | Lecture Notes |
Lectures | Sections in Text | Brief Description |
---|---|---|
3/28 | 1.1 - 1.3 | Direction fields, introduction to initial-value problems, introduction to computing, HW1 assigned. Matlab: http://math.rice.edu/~dfield/, intro.m |
3/30 | 2.1,2.2 | First order linear ODEs, separation of variables |
4/2 | 2.4-2.6 | Existence and uniqueness, exact equations, HW1 due, HW2 assigned |
4/3 (x-hour) | intro.m | Formal introduction to matlab |
4/4 | 2.7 | Introduction to numerical methods, Euler's method, euler.m |
4/6 | 2.3, 2.5 | Modeling, population models |
4/9 | 3.1 | Second order linear homogrenous ODEs, the characteristic equation, HW2 due, HW3 assigned |
4/10 (x-hour) | handout | Introduction to linear algebra for 2x2 matrices: question and answer |
4/11 | 3.3 | Wronskian, linear independence |
4/13 | 3.4 | Complex roots |
4/16 | 3.5,3.6 | Repeated roots, method of undetermined coefficients, HW3 due, HW4 assigned |
4/18 | 3.7 | Variation of parameters |
4/20 | 3.8 | Mechanical, electrical vibrations,resonance |
4/23 | 3.9 | Driven oscillators, resonance, HW4 due, HW5 assigned |
4/24 (x-hour) | MIDTERM EXAM | In class portion of midterm exam, take home due tomorrow |
4/25 | 5.1,5.2 | Power series, series solutions, radius of convergence |
4/27 | 5.3,5.4 | Series solutions about ordinary points, Euler equations |
4/30 | 7.1,7.2 | Systems of first order equations, existence and uniqueness, HW5 due, HW6 assigned |
5/2 | 7.3 | Further topics in linear algebra |
5/4 | 7.3 | Eigenvalues and Eigenvectors |
5/7 | 7.4,7.5 | Homogeneous systems, HW6 due, HW7 assigned |
5/9 | 7.6 | Unusual eigenvalues |
5/11 | 7.8,9.1 | Phase portraits |
5/14 | 9.2,9.3 | Almost linear systems (e.g. pendulum), HW7 due, HW8 assigned |
5/16 | 10.1 | Boundary value problems |
5/18 | 10.2,10.3 | Fourier series, convergence |
5/21 | 10.4 | Even and odd functions, representations, HW8 due, HW9 assigned |
5/23 | 10.5 | Separation of variables, the heat equation |
5/25 | 10.6 | Wave equation |
5/28 | NO CLASS | Memorial Day |
5/29 (x-hour) | 10.8 | Laplace's equation |
5/30 | Course wrap up |
Scott D. Pauls
Last updated June 25, 2009 14:49:14 EDT