Math 220 Assignment Schedule

Text: Nagle, Saff and Snider, Fundamentals of Differential Equations, 5th Ed. with Interactive Differential Equations CD-ROM.

* = problems that should be solved using Maple or TI-89/92+ calculator

• Week 1 - Introduction, Direction Fields, 1st Order Separable ODEs
• • Calculus Review
  • Serious Errors Please review this list!!!
  • Section 1.1 - 1-9, 15
  • Section 1.2 - 1,3-6,9,11-12,20
  • Section 1.3 - 1,5,10* (Maple worksheet)
  • Section 2.2 - 1,3,4,7,9,13,18,23,33
• Week 2 - 1st Order Linear ODEs, Tank and mechanics problems
• • Section 2.3 - 1,3,6,9,13,14,22,23, 25*(Maple worksheet) ,35
  • Section 3.2 - 1-9 Solution Prob 2
  • Section 3.4 - 1,2,7,8
  • Interactive Differential Equations CD - experiment with the Slope Fields Tool in the labs on 1^st Order Differential equations
• Week 3 - Numerical Methods, 2nd Order ODEs - homogeneous eqn
• • Section 1.5 - 1,7
  • Section 3.5 - 1,5,9; Section 3.6 - 4
  • Section 4.2 - 1-6,9,14
  • Section 4.3 - 1,3,4,7,9,13
  • Section 4.5 - 1,3-5,8,11
• Week 4 - 2nd Order ODEs - homogeneous and nonhomogeneous eqns
• • Section 4.5 - 14-16,17,26, Section 4.4- 1,3
  • Section 4.6 - 1,3,4,6,9,12,16,19,21,24,28*
  • Section 4.7 - 1,3,6,9,11
• Week 5 - 2nd Order ODEs - methods for solving nonhomogeneous eqns, Mechanical Vibrations
• • Section 4.8 - 1,3,6,9,15,17-23,29,31,35,38,41-46
  • Section 4.9 - 1,3,5,10,13,16,20
  • Section 4.11 - 1,3*,5; Section 4.12 - 1,3,8*
• Week 6 - Review, Systems of ODEs (tank problems), Numerical methods for systems
• • Suggested Review Problems Chap. 4 (p. 250) 1-17 odd,21,25,29,31,35,41,42
  • Sections 5.1 and 5.3 - 1,3,13,19,31,32
  • Section 5.6 - 1,3 - use Euler's method by hand and Maple for RK4
• Week 7 - Introduction to Laplace Transforms
• • Sections 7.1 and 7.2 - 1-5,8,10,13,16-18,21
  • Section 7.3 - 1,2,5-9,11,15,19,21,25,29
• Week 8 - more Laplace Transform - inverse, solving IVPs , Unit step function
• • Section 7.4 - 1-10, 13,15,18,21,25,29,31
  • Section 7.5 - 1-6, 8,10-12,15,18,22,24,25
  • Section 7.6 - 1-6,11-15, 21-23,25,26,29-31,33-35
• Week 9 - Review, Variable-Coefficient eqns, Intro to PDE
• • Suggested Review Problems -Chap. 7 - 1,5,9,12,15,17,19,22
  • Section 8.1 - 1,4,5
  • Section 8.5 - 2-6,13,15
  • Section 10.1- Read
• Week 10 - Introduction to Heat Eqn, modeling, steady-state, boundary and eigenvalue problems
• • Modeling and steady-state problems Derivation of the heat equation
  • Section 10.2 - 1,2,4,8,9-11,33
• Week 11 - Separation of Variables, Fourier Series
• • Section 10.2 - 15,17,25,27,29
  • Section 10.3 - 1-5,9,10,12*,17,19,21,24
• Week 12 - Fourier Series continued, sine and cosine series
• • Section 10.4 - 1,3,5,8,11,14* Selected Examples of FS and more
• Week 13 - Heat Equation, transient solutions, nonhomogeneous boundary conditions
• • Section 10.5 - 1,3,7 Selected examples of solutions to heat equation and more and still more.
• Week 14 - catch up and review for final
• • Section 10.5 - 8,14,19
  • Section 10.6 - 1,5