Math 224: Elementary Differential Equations

Class Schedule

This class schedule is approximate. That is, it is the plan for future classes, and a brief summary of past classes. You should attend class and do the homework for a better understanding of what is covered.

Week Monday Tuesday Wednesday Thursday
1
June 5

§ 1.1: Modeling via ODEs
Syllabus [pdf]
June 6

§ 1.2: Separation of Variables
§ 1.3: Slope Fields
June 7

§ 1.4: Euler's Method
June 8

§ 1.5: Existence & Uniquness
2
June 12

§ 1.6: Equilibria & Phase Lines
June 13

§ 1.7: Bifurcations
June 14

§ 1.8: Linear Equations
§ 1.9: Integrating Factors
June 15

§ 1.9: Integrating Factors
§ 2.1: Modeling via Systems
3
June 19

§ 2.2: Geometry of Systems
§ 2.3: Analytic Methods
June 20

§ 2.4: Euler's Method for Systems
(today's handout)
June 21

§ App. A: Changing Variables
June 22

§ 2.5: The Lorenz Equations
§ 3.1: Linear Systems
4
June 26

Review
June 27

Exam One
June 28

§ 3.1: More Linearity Principles
June 29

§ 3.2: Straight-line solutions
(today's handout)
5
July 3

University Holiday
No class
July 4

Independence Day
No class
July 5

§ 3.3: Phase Planes
§ 3.4: Complex Eigenvalues
(today's handout with solutions)
July 6

§ 3.5: Repeated Eigenvalues
(today's handout with solutions)
6
July 10

§ 3.5: Repeated Eigenvalues
§ 3.6: Second-Order Linear Equations
July 11

§ 3.6: Second-Order Linear Equations
§ 3.7: Trace-Determinant Plane
July 12

§ 3.7: Trace-Determinant Plane
§ 3.8: Linear Systems in 3 Dims
July 13

§ 4.1: Forced Harmonic Oscillators
(today's handout, now with solutions)
7
July 17

Review
July 18

Exam Two
July 19

§ 4.2: Sinusoidal Forcing
§ 4.3: The Undamped Case
(today's handout, now with solutions)
July 20

More on § 4.3: The Undamped Case
(yesterday's handout, now with solutions)
8
July 24

§ 6.1: Laplace Transforms
§ 6.2: Discontinuous Functions
(today's handout)
July 25

§ 6.2: Discontinuous Functions
§ 6.3: Second-Order Equations
July 26

§ 6.3: Second-Order Equations
§ 6.4: Delta Functions
July 27

Review
9
July 31

Exam Three
Last Day Of Classes