## Enhanced Differential Equations, Spring 2003

Three credits, three hours per week

Text : Introduction to Differential Equations/Order and Chaos by Florin Diacu (W. H. Freeman Publishing Company, 2000) ISBN 0-0-7167-3296-3.

Prerequisite: Math 114, 116, or 121.
Limitation: Not open to students with credit for Math 211.

 Section Topic Homework Chapter 1 Introduction p. 11: 1, 2, 8, 14; Extra credit: 18 (see News page) 2.1 Equations and solutions p. 20: 14, 15, 17, 20, 34, 37 2.2 Separable first-order ODEs p. 30: 2, 3, 7, 15, 25, 27, 30 2.3 First-order linear ODEs p. 38: 1, 5, 7, 9, 11, 17, 19, 25; 2.4 Qualitative methods p. 49: 2, 3, 5, 7, 10, 17, 21, 28, 32 2.5 Existence/uniqueness of solutions p. 59: 1, 3, 4, 9, 15 2.6 Numerical Methods p. 67: 3, 8, 10, 11, 15, 18 2.7 Computer applications p. 78: 3, 15, 21, 27 3.1 Linear independence and solutions p. 90: 2, 7, 13, 27, 33, 39, 42 3.2 Homogeneous 2nd-order linear ODEs p. 100: 1, 3, 5, 7, 9, 15, 19, 29(a, b), 31, 33. 3.3 Non-homogeneous equations p. 109: 1, 3, 7, 17, 21, 23, 25, 29 Exam 1 3.4 Harmonic oscillators p. 120: 1, 3, 4, 5, 7, 8, 9, 15, 19 3.5 Qualitative methods p. 133: 1, 5, 7, 9, 11, 17, 21, 22, 23, 24, 27, 29, 31 3.6 Numerical methods p. 141: 3, 9, 19 4.1 Linear algebra basics p. 167: 1, 4, 5, 7ACE, 8, 11, 15, m (see News), 17, 22, 23, 25, 28, Extra credit: 29 4.2 Fundamental solutions p. 177: 10, 15, 16, 21, 25 4.3 Homogeneous systems with constant coefficients p. 187: 1, 3, 5, 11; Extra credit: 16, 18 6.1 Introduction to Laplace transforms p. 276: 8, 21, 25, 29, 33