Instructor | Olivia Prosper | R. Sadykov |

Class | Section 001 (Kemeny 105): MWF
12:30-1:35 |
Section 002 (Kemeny 006): MWF 11:15-12:20 |

x-hour | Tu 1:00-1:50 | Tu 12:00-12:50 |

Office | 318 Kemeny Hall | 314 Kemeny Hall |

Phone | 603-646-1614 | 603-646-2951 |

Office Hours | Mon 2:30-4:30, Th 1:00-2:00 | Mon 3:00-4:00, Th 2:00-3:30 |

Schedule and Homework | Click here | Click here |

Differential equations are equations that relate functions and their
higher order (partial) derivatives. They provide a natural language and
set of tools through which we can describe and explore the world around
us. For instance, in mathematics and physics differential equations
can be used to describe the path that light will travel in exotic
geometries. In engineering, differential equations can be used to model
how a bridge will twist under stress. In finance, (stochastic)
differential equations are used to help price financial derivatives (e.g,
options, futures & credit derivatives). In biology, differential
equations are used to model tumor growth and the spread of infectious
disease.

This course will focus primarily on methods for obtaining exact solutions
to various types of differential equations, but (as time permits) we will
also explore means of ferreting out qualitative information about
solutions based on the form of the differential equation. Topics will
include some of the following.

- Techniques for solving first order differential equations
- The Existence and Uniqueness Theorem
- Second Order Linear Equations
- Systems of First Order Linear Equations (with an introduction to matrices)
- Power Series and Power Series Solutions to ODEs
- Fourier Series and Partial Differential Equations

Elementary Differential Equations and Boundary Value Problems (10th Edition) by Boyce & DiPrima, Wiley 2012.

Tutor: Daryl R. Deford

Location: Kemeny Hall 006

Time: Tue, Th, Sun, 7-9pmWeekly homework will be assigned every Wednesday and due on following Wednesday 2:00PM. You are encouraged to collaborate with classmate, but your final write up must reflect your understanding and you must acknowledge collaborators. No late homework will be accepted.

Final grade will be computed according to the following scheme

Homework | 10% |

Exam I | 25% |

Exam II | 25% |

Final | 40% |

May 19: Final day to withdraw from a course; any later request to withdraw from a course requires petition to a special committee by 4:00 p.m. (One of four eligibilities for a fourth course without extra tuition is exhausted by such action after May 8.)

You are encouraged to work together on homework. However, the final writeup should be your own. On exams, all work should be entirely your own; no consultation of other persons, printed works, computing devices, or online works, or online sources is allowed without instructor's explicit permission.

Any student with a diagnosed learning disability requiring accommodations
should see instructor and Ward Newmeyer (Director of Student
Accessibility Services) as early in the term as possible.