General Information | Syllabus | Homework Assignments | Exam Related |
Lectures | Sections in Text | Brief Description |
---|---|---|
Day 1: 1/5 | 1.1, 1.2, 1.3 | Introduction, classification of differential equations, direction fields |
Day 2: 1/7 | 2.2, 2.6 | Separable and exact DEs |
Day 3: 1/10 | 2.1, 2.4 | Linear and nonlinear equations |
Day 4: 1/12 | 2.3 | Modeling with 1st order DEs |
Day 5: 1/14 | 3.1, 3.4, (3.5) | Homogeneous DEs with constant coefficients, complex and repeated roots |
1/17 | Martin Luther King Day - Class moved to x-period | |
1/18 | Last day to add/drop | |
Day 6: 1/19 | 3.2, 3.3 | Fundamental solutions, linear independence, Wronskian |
Day 7: 1/20 | 3.5 | Reduction of order |
Day 8: 1/21 | 3.6, 3.7 | Nonhomogeneous equations, undetermined coefficients, variation of parameters |
Day 9: 1/24 | 3.8, 3.9 | Mechanical vibrations, forced vibrations |
Day 10: 1/26 | 7.1 | Systems of DEs |
Day 11: 1/28 | 7.2, 7.3, 7.4 | Matrices, eigenvalues, eigenvectors |
Day 12: 1/31 | First midterm exam | |
Day 13: 2/2 | 7.5, 7.6 | Systems of DEs, real distinct and complex eigenvalues |
Day 14: 2/3 | 7.6, 7.8 | Systems of DEs, complex and repeated eigenvalues |
Day 15: 2/4 | 2.5, 9.1 | Critical points of autonomous 1st order DEs, phase portraits of linear systems |
Day 16: 2/7 | 9.2 | Autonomous systems and stability |
Day 17: 2/9 | 9.3 | Almost linear systems |
Day 18: 2/10 | 5.1 | Review of series |
2/11 | Winter Carnival - Class moved to x-period | |
Day 19: 2/14 | 5.2 | Series solutions |
Day 20: 2/16 | 5.3 | Series solutions |
Day 21: 2/18 | 10.1, 10.2 | Fourier series |
Day 22: 2/21 | Second midterm exam | |
Day 23: 2/23 | 10.3, 10.4 | Fourier Convergence Theorem, even and odd extensions |
2/23 | Last day to drop | |
Day 24: 2/25 | 10.5 | Heat equation, separation of variables |
Day 25: 2/28 | 10.6 | Other heat equations: nonhomogeneous and insulated ends |
Day 26: 3/2 | 10.7 | Wave equation |
Day 27: 3/4 | 10.8 | Laplace equation |
Day 27: 3/7 | No class | |
Day 28: 3/9 | 10.7, 10.8 | Review |