APMA 0330: Methods of Applied Mathematics I (Fall 2011)

CLASS INFORMATION

Lecture HoursTuesday & Thursday 10:30–11:50 a.m. in Salomon 003
InstructorDr. M. Chirilus-Bruckner
Email martina_chirilus-bruckner@brown.edu
Office Room 310 in 182 George Street
Phone (401) 863 7422
Office hours  Monday & Thursday 2:00–2:50 p.m. (except Thursday, Dec. 8, 2011, 9:30–10:20 a.m.)


HOMEWORK, HANDOUTS AND READING SUGGESTIONS



ANNOUNCEMENTS



TEACHING ASSISTENT & RECITATIONS

Teaching Assistent    Lei Wu
EmailLei_Wu@brown.edu
Office Room 002 in 180 George Street
Office hours   Thursday, 3-5 p.m., in Room 102 in 180 George Street
RecitationWednesday, 2-4 p.m. in Room 106 in 180 George Street


TEACHING ASSISTENT FOR SOFTWARE RELATED ISSUES

Teaching Assistent    Seonmin Ahn
Emailsoenmin_ahn@brown.edu
Website Soenmin Ahn's website


COURSE DESCRIPTION

This class provides an introduction to differential equations. They are among the most successful mathematical modeling tools utilized in a wide variety of applications in fields like physics, chemistry, biology, finance and sociology. We will address the most important methods for analyzing differential equations with emphasis on finding expressions and relations for solutions analytically. Furthermore, we will discuss more powerful techniques such as qualitative analysis, numerical approximations and integral transforms. The presented concepts are widely applicable, but will be illustrated mostly in the context of scalar first and second order ordinary differential equations (ODEs).

Prerequisite: MATH 0100

Short outline:

TEXTBOOK

Elementary Differential Equations and Boundary Value Problems , by W.E. Boyce and R.C. DiPrima , 9th ed., Wiley.

Grade

The grade is determined as follows by homework problems, a project, two midterms, and a final exam:

Homework:20%
Midterm 1:20%
Midterm 2:20%
Project:10%
Final Exam:30%

Homework problems will be handed out every Thursday and are due a week later. You can work together on homework problems, but you need to write up your solutions individually.

Project:

The project will have numerical approximations of ODEs as a topic and will involve the manipulation and usage of numerical code written in MATLAB.