﻿ MAT 239 Schedule

# MAT 239 Schedule, Fall 2017

The links are to Paul's Notes, the section numbers refer to Boyce and DiPrima.
There may be two copies on Boyce and DiPrima, the old 9th edition, on 4 hour course reseve in the library.

A tentative course schedule follows. Exam days will be announced at least a week in advance, but they may differ from the dates listed here.

Week 1: Aug. 29, 31
Introduction, WeBWorK set 0 (introduction to WeBWorK), Classifying DEs intro to ODEs from Paul's notes (section 1.1, 1.2, 1.3 in Boyce and DiPrima)
direction fields (section 1.1)
WeBWorK sets 1 and 2

Week 2: Sept. 5, 7
separable 1st order ODEs (section 2.2)
Interval of Validity, or interval of existence of solutions. (section 2.4)
WeBWorK set 3,

Week 3: Sept. 12, 14
Linear 1st order ODEs (section 2.1)
1st order modelling (section 2.3). Solving dy/dt = k(y-A) by inspection.
WeBWorK sets 4, 5

Week 4: Sept. 19, 21
More first order modeling.
Autonomous Equations and Equilibrium Solutions (section 2.5).
Exact ODEs (Section 2.6).
WeBWorK sest 6, 7

Week 5: Sept. 26, 28
More Exact ODEs
WeBWorK set 8 on Euler's method (Section 2.7).
Review for Exam 1.

Week 6: Oct. 3, 5
Tuesday, October 3: Exam 1 on Chapters 1 and 2 (2.1-2.7), and WeBWorK sets 1-8.
Thursday: WeBWorK set 9 on Basic Concepts and Real, Distinct Roots of the characteristic equation (section 3.1)

Week 7: Oct. 10, 12
Tuesday: Set 10: Fundamental Solution Sets, Linear independence, the Wronskian, and Abel's Theorem (section 3.2).
Thursday: More Theory for set 10.

Week 8: Oct. 17, 19
Tuesday: Start set 11:  Complex roots of the characteristic equation, and Repeated roots of the characteristic equation. (section 3.3, 3.4, 4.1)
Thursday: More on set 11, Euler equactions (section 5.4). Start set 12: Linear nonhomogeneous ODEs (section 3.5, 4.3)

Week 9: Oct. 24, 26
Tuesday: More on set 12: The Method of Undetermined Coefficients
Thursday: Set 13: Second Order Modeling, especially modeling of Mechanical vibrations (sections 3.7, 3.8)

Week 10: Oct. 31, Nov. 2
Tuesday: More on set 13, review for MT 2.
Thursday: Exam 2, on WeBWorK sets 9-13 (Chapters 3 and 4, except sections 3.6 and 4.4)

Week 11: November 7, 9
Tuesday: Start set 14: Review of Power Series and Taylor series, section 5.1.
Thursday: Start WeBWork Set 15. Series Solution to 2nd order ODEs. Sections 5.2 and 5.3 in the book.

Week 12: Nov. 14, 16
Tuesday: More on set 15.
Thursday: Start WeBWorK set 16: Introduction to Linear Systems. There are two review sections in Paul's Notes: Systems of Linear Equations(not ODEs), Matrices and Vectors. Then the new material, in WeBWorK set 16 covers Eigenvalues and Eigenvectors and Introduction to Systems of Linear ODEs. This is section 7.1, 7.2 and 7.3 in the book

Week 13: Nov. 21
Tuesday: More on set 16. Start set 17: Solutions to systems of Linear ODEs and the Phase Plane. Solutions to x' = Ax, where A has Real Eigenvalues, Complex Eigenvalues and Repeated Eigenvalues.
Thursday: Thanksgiving Break!

Week 14: Nov. 28, 30
Tuesday: More on set 17, Review for Exam 3
Thursday: Exam 3

Week 15: Dec. 5, 7 Review for Final Exam.
Friday: Review for Final Exam.

The Final Exam is scheduled for
Thursday, December 14, from 10:00 to 12:00 for section 5 (the 11:10 class)
Thursday, December 14, from 12:30 to 2:30 for section 6 (the 2:20 class)

If this schedule disagrees with what I announced in class, please send me e-mail at Jim.Swift@nau.edu.