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 | ... |

- Garrett Birkhoff and Gian-Carlo Rota,
*Ordinary differential equations*. Wiley. - William E. Boyce and Richard C. DiPrima (and Douglas B. Meade),
*Elementary differential equations*. Wiley. - Dennis G. Zill and Warren S. Wright,
*Differential equations*. Cengage. - William F. Trench,
*Elementary differential equations*. Trinity [Download].

- First order equations
- Second order linear equations
- Power series solutions, Frobenius method
- Phase space, linearization, stability, perturbation
- Second order linear boundary value problems
- Calculus of variations (if time permits)
- Sturm-Liouville theory (if time permits)

**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.