Introduction
Basic mathematical models
Direction fields
Solutions to ODEs
Read Textbook 1.1-1.2, and Handout 01.
Complete Handout 01.
Answer Clicker polls.
Complete Classwork 01 and Classwork 01I.
Review Lesson 01.
Complete Exercise 01.
Classification of ODEs
First-order linear ODEs
Read Textbook 1.3-2.1, and Handout 02.
Submit Class-prep 01.
Complete Handout 02.
Answer Clicker polls.
Complete Classwork 02 and Classwork 02I.
Review Lesson 02 and Class-prep 01 Solutions.
Complete Exercise 02.
Separable ODEs
Modeling with first-order ODEs
Read Textbook 2.2-2.3, and Handout 03.
Submit Class-prep 02.
Complete Handout 03.
Answer Clicker polls.
Complete Classwork 03 and Classwork 03I.
Review Lesson 03 and Class-prep 02 Solutions.
Complete Exercise 03.
Autonomous ODEs and population dynamics
Exact ODEs
Read Textbook 2.5-2.6, and Handout 04.
Submit Class-prep 03.
Complete Handout 04.
Answer Clicker polls.
Complete Classwork 04 and Classwork 04I.
Review Lesson 04 and Class-prep 03 Solutions.
Complete Exercise 04.
Euler's method
The existence and uniqueness theorem
Read Textbook 2.7-2.8, and Handout 05.
Submit Homework 01.
Complete Handout 05.
Answer Clicker polls.
Complete Classwork 05 and Classwork 05I.
Review Lesson 05 and Homework 01 Solutions.
Complete Exercise 05.
Review for Exam 1.
Exam 1
Second-order linear ODEs
Homogeneous equations with constant coefficients
Read Textbook 3.1-3.2, and Handout 06.
Review for Exam 1.
Complete Handout 06 and Exam 1.
Answer Clicker polls.
Complete Classwork 06 and Classwork 06I.
Review Lesson 06 and Exam 1 Solutions.
Complete Exercise 06.
The Wronskian
Complex roots of the characteristic equation
Repeated roots, reduction of order
Read Textbook 3.3-3.4, and Handout 07.
Submit Class-prep 04.
Submit the title and abstract of the poster.
Complete Handout 07.
Answer Clicker polls.
Complete Classwork 07 and Classwork 07I.
Review Lesson 07 and Class-prep 04 Solutions.
Complete Exercise 07.
Nonhomogeneous equations
Method of undetermined coefficients
Variation of parameters
Read Textbook 3.5-3.6, and Handout 08.
Submit Class-prep 05.
Complete Handout 08.
Answer Clicker polls.
Complete Classwork 08 and Classwork 08I.
Review Lesson 08 and Class-prep 05 Solutions.
Complete Exercise 08.
Series solutions of second-order linear ODEs
Mechanical and electrical vibrations
Read Textbook 3.7-3.8, 5.2-5.3, and Handout 09.
Submit Class-prep 06.
Submit Homework 02.
Complete Handout 09.
Answer Clicker polls.
Complete Classwork 09 and Classwork 09I.
Review Lesson 09 and Class-prep 06 and Homework 02 Solutions.
Complete Exercise 09.
Higher-order linear differential equations
Homogeneous equations with constant coefficients
Read Textbook 4.1-4.2, and Handout 10.
Submit Class-prep 07.
Complete Handout 10.
Answer Clicker polls.
Complete Classwork 10 and Classwork 10I.
Review Lesson 10 and Class-prep 07 Solutions.
Complete Exercise 10.
The method of undetermined coefficients
The method of variation of parameters
Read Textbook 4.3-4.4, and Handout 11.
Submit Homework 03.
Complete Handout 11.
Answer Clicker polls.
Complete Classwork 11 and Classwork 11I.
Review Lesson 11 and Homework 03 Solutions.
Complete Exercise 11.
Review for Exam 2.
Exam 2
Definition of the Laplace transform
Solution of IVPs
Read Textbook 6.1-6.2, and Handout 12.
Submit Class-prep 08.
Review for Exam 2.
Submit the first draft of the poster.
Complete Exam 2 and Handout 12.
Answer Clicker polls.
Complete Classwork 12 and Classwork 12I.
Review Lesson 12 and Exam 2 and Class-prep 08 Solutions.
Complete Exercise 12.
Step functions
ODEs with discontinuous forcing functions
Impulse functions
The convolution integral
Read Textbook 6.3-6.6, and Handout 13.
Submit Class-prep 09.
Submit Homework 04.
Complete Handout 13.
Answer Clicker polls.
Complete Classwork 13 and Classwork 13I.
Review Lesson 13 and Class-prep 09 and Homework 04 Solutions.
Complete Exercise 13.
Systems of first-order linear equations
Matrix functions
Linear systems with constant coefficients
Read Textbook 7.4-7.7, and Handout 14.
Submit Class-prep 10.
Complete Handout 14.
Answer Clicker polls.
Complete Classwork 14 and Classwork 14I.
Review Lesson 14 and Class-prep 10 Solutions.
Complete Exercise 14.
Nonhomogeneous linear systems
Poster representations
The final exam
Read Textbook 7.8-7.9, and Handout 15.
Submit the final poster.
Submit Homework 05.
Review for the final exam.
Complete Handout 15.
Answer Clicker polls.
Complete Classwork 15 and Classwork 15I.
Represent the poster.
Review Lesson 15 and Class-prep 10 Solutions.
Complete Exercise 15.
Complete the final exam.