| Date | Topics |
|---|---|
| R 1/6 | Introduction. IVP. BVP. Examples. Classifications. Complex exponentials. |
| T 1/11 | Constant coefficient first order linear equations. Uniqueness. Stability. Duhamel's principle. |
| R 1/13 | Constant coefficient second order homogeneous equations. Uniqueness. Fundamental set. |
| T 1/18 | Wronskian. Abel's formula. Stability. Inhomogeneity. Undetermined coefficients. |
| R 1/20 | Variation of parameters. Forced oscillators. Transfer function. |
| T 1/25 | Discontinuous source functions. Laplace transform. |
| R 1/27 | Laplace transform table. Dirac's delta. |
| T 2/1 | Euler-Cauchy equations. First order equations. Second order case. Abel's formula. |
| R 2/3 | Fundamental sets. Reduction of order. Variation of constants. Sturm's separation theorem. |
| T 2/8 | Sturm's comparison theorem. Power series method. |
| R 2/10 | Frobenius method. |
| T 2/15 | ... |
| R 2/17 | ... |
| T 2/22 | ... |
| R 2/24 | ... |
| T 3/8 | ... |
| R 3/10 | ... |
| T 3/15 | ... |
| R 3/17 | ... |
| T 3/22 | ... |
| R 3/24 | ... |
| T 3/29 | ... |
| R 3/31 | ... |
| T 4/5 | ... |
| R 4/7 | ... |
| T 4/12 | ... |
Instructor: Dr. Gantumur Tsogtgerel
Prerequisite: MATH 222 (Calculus 3)
Calendar description: First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications.
Grading: TBA.
Homework: Assigned and graded through MyCourses.