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winter 2024 >
mth264
MTH-264 Home
MTH-264-WN380 meets in Room 208 of the Delta Downtown Midland Center.
Office Hours
in person, Delta Downtown Saginaw Center, Room 308
in person, Delta Downtown Midland Center, Room 208
online, enter Zoom office hours
Tuesday, 6:00pm-6:55pm -
Wednesday, 6:30pm-7:25pm -
Thursday, 4:00pm-4:55pm -
by appointment - in person or enter Zoom office hours by appointment
Dropbox
Thank you!
Our course is now completed
Exam 3 solutions are posted.
Graded exams and final grade reports are posted in your Google Drive
folders.
Google Drive folders and their contents will be permanently deleted after
11:59pm on Tuesday, May 7. You can download your papers and grade reports
before your folder is permanently deleted.
If you need me to resend you a link to your Google Drive folder, please
send me an email.
Introduction to Ordinary Differential Equations
Week 1 (January 7-13)
1.1 Modeling
1.2 Separation of Variables
Week 2 (January 14-20)
1.3 Slope Fields
1.4 Euler's Method
1.5 Existence and Uniqueness
Week 3 (January 21-27)
1.6 Equilibria and the Phase Line
1.7 Bifurcations
Week 4 (January 28-February 3)
1.8 Linear Equations
1.9 Integrating Factors for Linear Equations
2.1 Modeling via Systems
Week 5 (February 4-10)
2.2 The Geometry of Systems
2.3 The Damped Harmonic Oscillator
2.4 Additional Analytic Methods for Special Systems
2.5 Euler's Method for Systems
Week 6 (February 11-17)
Week 7 (February 18-24)
3.1 Properties of Linear Systems and the Linearity Principle
3.2 Straight-line Solutions
3.3 Phase Portraits for Linear Systems with Real Eigenvalues
3.4 Complex Eigenvalues
Week 8 (February 25-March 2)
3.5 Special Cases: Repeated and Zero Eigenvalues
3.7 The Trace-Determinant Plane
Week 9 (March 3-9)
Week 10 (March 10-16)
5.1 Equilibrium Point Analysis
5.2 Qualitative Analysis
Week 11 (March 17-23)
3.6 Second-Order Linear Equations
4.1 Forced Harmonic Oscillators
4.2 Sinusoidal Forcing
Week 12 (March 24-30)
4.3 Undamped Forcing and Resonance
4.4 Amplitude and Phase of the Steady State
Week 13 (March 31-April 6)
Appendix B Power Series: The Ultimate Guess
6.1 Laplace Transforms
6.2 Discontinuous Functions
Week 14 (April 7-13)
6.3 Second-Order Equations
6.4 Delta Functions and Impulse Forcing
Week 15 (April 14-20)
Week 16 (April 21-27)