Days/Dates | Lectures | Sections | Topics Covered |
Monday 4/1 | 1 | 1.1 - 1.3 | Intro: Math Modeling with ODE, Classification of ODE and PDE |
Wed. 4/3 | 2 | 2.1 | Linear Equations; Method of Integrating Factors |
Friday 4/5 | 3 | 2.2 | Separable Equations |
Monday 4/8 | 4 | 2.3, 2.4 | Modeling with First Order Eqns; Differences between Linear & Nonlinear Eqns |
Wed. 4/10 | 5 | 2.5 | Autonomous Equations and Population Dynamics |
Friday 4/12 | 6 | 2.6 | Exact Equations and Integrating Factors |
Monday 4/15 | 7 | 3.1 | Second Order Linear Eqns: Fundamental Solutions of Linear Homogeneous Eqns |
Wed. 4/17 | 8 | 3.2 | Linear Independence and the Wronskian |
Friday 4/19 | 9 | 3.3 | Complex Roots of the Characteristic Equation |
Monday 4/22 | 10 | 3.4 | Repeated Roots; Reduction of Order |
Wed. 4/24 | 11 | 3.5 | Nonhomogeneous Equations; Method of Undetermined Coefficients |
Friday 4/26 | Midterm Exam 1. Cover: 1.1 - 1.3, 2.1 - 2.6, 3.1 - 3.5 | ||
Monday 4/29 | 12 | 3.6 | Variation of Parameters |
Wed. 5/1 | 13 | 5.1 | Review of Power Series |
Friday 5/3 | 14 | 5.2, 5.3 | Series Solutions Near an Ordinary Point |
Monday 5/6 | 15 | 6.1 | Definition of Laplace Transform |
Wed. 5/8 | 16 | 6.2 | Solution of Initial Value Problems |
Friday 5/10 | 17 | 6.3, 6.4 | Step Function; Differential Eqns with Discont. Forcing Functions |
Monday 5/13 | 18 | 6.5 | Impulse Functions |
Wed. 5/15 | 19 | 7.1, 7.2 | Systems of First Order Linear Eqns: Intro, Review of Matrices |
Friday 5/17 | 20 | 7.3 | Linear Algebraic Eqns; Linear Independence, Eigenvalues, Eigenvectors |
Monday 5/20 | 21 | 7.4 | Basic Theory of Systems of First Order Linear Equns |
Wed. 5/22 | 22 | 7.5 | Homogeneous Linear Systems with Constant Coefficients |
Friday 5/24 | Midterm Exam 2. Cover: 3.5, 3.6, 5.1 - 5.3, 6.1 - 6.5, 7.1 - 7.5 | ||
Monday 5/27 | Memorial Day Holiday | Wed. 5/29 | 23 | 7.6 | Complex Eigenvalues |
Friday 5/31 | 24 | 7.7 | Fundamental Matrices |
Monday 6/3 | 25 | 7.8 | Repeated Eigenvalues |
Wed. 6/5 | 26 | 7.9 | Nonhomogeneous Linear Systems |
Friday 6/7 | Review for Final Exam. | ||
Final Exam (cumulative): 11:30 am - 2:29 pm, Friday, 6/14. Place: to be announced . |