**Instructor: ** Dr. Seongchun (Michelle) Kwon

** e-mail: ** kwonseon at hotmail dot com

** Office: ** Miller Science Center 103-C

** Office hours: ** 10:00- 11:00 AM on MWF and 3:00- 4:00 PM on TTR or by appointment

** Class hours: ** TTR 1:30 PM-2:50 PM at Miller Hall 208

** Text: **
Elementary Differential Equations, ISBN: 0-13-508011-8

Authors: Earl D.Rainville; Phillip E. Bedient; Richard E. Bedient
Publisher: Prentice Hall

** Materials covered: **
Differential equations of first order and first degree, differential equations of first order and higher degree, differential operators and linear differential equations, reduction of order.

** Final Exam:**
** May 2(Thursday) 8:00 – 10:00 AM **

Date | Progress | Problems,Solutions |

Jan 8 T | Introduction | |

Jan 10 TR | Chapter 1. Definitions, Families of Curves ( Reference for the geometric interpretation of the solutions of differential equations: MIT Open Courseware ) |
Group Quiz |

Jan 15 T | 2. Equations of order one: 2.1. Separation of variables | Quiz |

Jan 17 TR | 2.2. Homogeneous Functions, 2.3. Equations with homogeneous coefficients (Reference about implicit differentiation: Watch the Kahn Academy video clip) | Group Quiz( Please turn this in on Jan 22) |

Jan 22 T | 2.3. Equations with homogeneous coefficients, 2.4. Exact equations | Quiz ( |

Jan 24 TR | 2.4. Exact equations, Re-doing the Group quiz (Jan 22's), Working on the group quiz ( Jan 24's) | Group Quiz |

Jan 29 T | Keep working on the group quiz ( Jan 24 ) | |

Jan 31 TR | 2.5. The linear equation of order one | Quiz |

Feb 5 T | 5.1. Integrating factors found by inspection | Group Quiz |

Feb 7 TR | 6.1. The general linear equation, 6.2. An existence and uniqueness theorem | Quiz |

Feb 12 T | 6.3. Linear independence, 6.4. Wronskian | Group Quiz |

Feb 14 TR | 6.4. Wronskian, 6.5. General solution of a homogeneous equation, 6.7. Differential operators | Quiz |

Feb 19 T | 6.7. Differential operators, 6.8. The fundamental laws of operation, 6.9. Some properties of differential operators | |

Feb 21 TR | Take Home Exam | Take home exam( February 26 Due date ) |

Feb 26 T | 7. Linear equations with constant coefficients: 7.1. Introduction, 7.2. The auxiliary equation: distinct roots, 7.3. The auxiliary equation: repeated roots | Group Quiz |

Feb 28 TR | 7.4. A definition of exp z for imaginary z, 7.5. The auxiliary equation: imaginary roots | |

Mar 5 T | 6.6. General Solutiopn of a nonhomogeneous equation, 8.1. Construction of a homogeneous equation from a specific solution | Group Quiz |

Mar 7 TR | 8.2. Solution of a nonhomogeneous equation, 8.3. The method of undetermined coefficients | Group Quiz |

Mar 12, Mar 14 | Spring Break | |

Mar 19 T | Problem solving | |

Mar 21 TR | 8.3. The method of undetermined coefficients | Group Quiz |

Mar 26 T | 9.2. Reduction of Order | Group Quiz |

Mar 28 TR | Problem Solving | |

Apr 2 T | Assessment Day( No day classes ) | |

Apr 4 TR | Take Home Exam Day | Take home exam(Due date: April 9) |

Apr 9 T | Keep working on the take home test problems with help... | |

Apr 11 TR | 9.3. Variation of Parameters | |

Apr 16 T | 9.4. Solution of y''+y=f(x) | Group Quiz , Take home Quiz ( Due on Apr 18 TR) |

Apr 18 TR | 11. Linear Systems of Equations: 11.1. Introduction, 11.2. First-Order systems with constant coefficients, 11.3. Solution of a first-order system, 11.4. Some matrix algebra | Group Quiz , Take home Quiz ( Due on Apr 23 T) |

Apr 23 T | 11.5. First-order system revisited | |

Apr 25 TR | 11.5. First-order system revisited | |