Math 220 Assignment Schedule

Text: Nagle, Saff and Snider, Fundamentals of Differential Equations , 6th Ed.

* = problems that should be solved using Maple or 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 - 1,3,9,11,20,22
• Section 1.3 - 1,5 Using TI-89, or Using Maple
• Section 2.2 - 1,3,4,7,9,13,18,23,33
• Week 2 - 1st Order Linear ODEs, Tank problems
• Section 2.3 - 1,3,6,9,13,17,22,23,35
• Section 3.2 - 1-9 (mixing problems) Solution Prob 5
• Week 3 - Mechanics problems, Numerical Methods, 2nd Order ODEs - homogeneous eqn
• Section 3.4 - 1,2,7,8
• Section 1.4 - 1,7,9,11
• Section 3.6 - 1,5,9
• Section 4.2 - 1-6,9,14-17,29
• Week 4 - 2nd Order ODEs - homogeneous and nonhomogeneous eqns
• Section 4.3 - 1,3,4,6,9,12,16,19,21,24,28*
• Section 4.4 - 1,3,6,9,15,17-23,29,31,35
• Week 5 - 2nd Order ODEs - methods for solving nonhomogeneous eqns, Mechanical Vibrations
• Section 4.5 - 1,3,6,9,11,17,20,26,45
• Section 4.6 - 1,3,5,10,13,16,19
• Section 4.8 - 1,3*,5; Section 4.9 - 1,3,8*
• Week 6 - Review and Catch-up
• Suggested Review Problems Chap. 4 (p. 230) 1-9 odd,15,21,29,33,
• Exam 1
• Week 7 - Systems of ODEs (tank problems), Numerical methods for systems
• Sections 5.1 and 5.2 - 1,3,13,19,31,32
• Section 5.3 - 1,3 - use Euler's method by hand.
• Week 8 - Introduction to Laplace Transforms
• Sections 7.1 and 7.2 - 1,3,5,8,10,13,16-18
• Section 7.3 - 1,5,7,9,13,19,21,25,29,33
• Week 9 - more Laplace Transform - inverse, solving IVPs , Unit step and convolution
• Section 7.4 - 1-10, 13,15,21,25
• Section 7.5 - 1-13(odd),15,18
• Section 7.6 - 1,11,13,61
• Section 7.7 - 1,4,5
• Week 10 - Impluse functions, Review, Variable-Coefficient eqns, Cauchy-Euler eqn.
• Section 7.8 - 3,5,13,15,30 if time permits
• Section 7.9 - 1,5
• Suggested Review Problems -Chap. 7 - 1,5,9,12,15,17,19,22
• Section 8.5 - 2-6,15
• Week 11 - Heat Eqn, modeling, steady-state, boundary and eigenvalue problems
• Section 10.1- Read
• Modeling and steady-state problems
• Section 10.2 - 1,2,4,8,9-11
• Exam 2
• Week 12 - Separation of Variables, Fourier Series
• Section 10.2 - 15,19,25
• Section 10.3 - 1-5(odd),9,10,12,17,18,20
• Week 13 - Fourier Series continued, sine and cosine series
• Section 10.4 - 1,3,5,8,11,14
• Section 10.5 - 1,3,7
• Week 14 - Heat Equation, transient solutions, nonhomogeneous boundary conditions
• Section 10.5 - 8,14,19
• Section 10.6 - 1,4
• Week 15 - catch up and review for final
• Review sheets will be available.