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

## HOMEWORK, HANDOUTS AND READING SUGGESTIONS

Homework problems will be handed out every Tuesday and are due a week later. You can work together on homework problems, but you need to write up your solutions individually. You can turn in the homework by placing it in the box located in the building of the Division of Applied Mathematics, 182 George Street. When you enter the building the box is placed on a table on your right. The building closes at 5 p.m., please make sure you turn in the homework before that!

 WEEK READING SUGGESTIONS HANDOUTS, SUPPLEMENTS HOMEWORK SOLUTIONS 1: Sept. 8 Chapter 1.3 short summary, examples (handout from class with solutions) HW 1 SOL 1 2: Sept. 13 & 15 Chapters 2.1, 2.2, 2.6 - HW 2 SOL 2 3: Sept. 20 & 22 Chapters 2.3, 2.5 hints and comments for HW 3 HW 3 SOL 3 4: Sept. 27 & 29 Chapters 2.4, 2.7, 8.1 direction fields with MAPLE HW 4 SOL 4 5: Oct. 4 & 6 Tues: Chapters 8.2, 8.3; Thurs: REVIEW ''UNIT 1'' Summary for MIDTERM 1 - - 6: Oct. 11 & 13 Tues: MIDTERM 1; Thurs: ODE numerics with MATLAB - PROJECT - 7: Oct. 18 & 20 Chapter 3.1, 3.2, 3.3, 3.4 summary (ODE theory), summary (const. coeff. eq.s, complex numbers, Euler's formula) HW 5 SOL 5 8: Oct. 25 & 27 Chapter 3.5, 3.6, 3.7 Spring-mass system with Mathematica, Spring-mass system on different planets HW 6 SOL 6 9: Nov. 1 & 3 Chapter 3 Method of Undetermined Coefficients HW 7 SOL 7 10: Nov. 8 & 10 Tues: Chapter 5, Thurs: Chapter 3.8 and REVIEW ''UNIT 2'' Spring-mass system (lab), Spring-mass system (casual), Summary - 11: Nov. 15 & 17 Tues: MIDTERM 2, Thurs: Chapter 6 - HW 8 SOL 8 12: Nov. 22 Chapter 6 Laplace transform table HW 9 SOL 9 13: Nov. 29 & Dec. 1 Chapter 6 Dirac delta approximation, Laplace transform of ODEs with piecewise defined forcing - - 14: Dec. 6 & Dec. 8 REVIEW ''UNIT 3'', GENERAL REVIEW Laplace transform summary, partial fractions with MAPLE, MAPLE ODE example (worksheet), MAPLE ODE example (html) HW10 SOL 10 15: Dec. 13 & 14 OPEN PRACTICE: Dec. 13, FINAL EXAM: Dec. 14 - -

* MATLAB on wikipedia

* MATLAB tutorial (by Prof. A. Brower, suggested by Ramya)

* Solving ODEs with MATLAB (by Prof. P. Howard)

* dfield8.m (by Prof. J.C. Polking)

* OCTAVE - free software comparable to MATLAB

* TA for software related issues: Soenmin Ahn

* please contact me, if you feel comfortable with programming and would like to volunteer for peer-to-peer help with MATLAB! current volunteers: Zach Rowe

* Euler's formula

* Taylor series for the exponential

* partial derivatives, total differentiation

* some nice 3-d illustrations (use red-cyan 3d glasses)

## TEXTBOOK

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