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MTH-264 Home
MTH-264-WN325 meets in Room 208 of the Delta Downtown Midland Center.
Wednesdays, 6:00pm-8:55pm
Office Hours
in person
Delta College Main Campus, G202
Wednesday, 12:00pm-12:55pm
Delta Downtown Midland Center, Room 208
online
Zoom office hours,
enter
Tuesday, 6:00pm-6:55pm
Wednesday, 1:00pm-1:55pm
Thursday, 9:00am-9:55am
by appointment
contact me and we will find a mutually convenient time to meet
Week 12 in Differential Equations
We have reached our second exam.
A preview
of Exam 2 has been released and Exam 2 will be written in class
on Wednesday, March 26..
Exam 2 covers sections 2.4, 2.5, 2.7, 3.1-3.5, 3.7, 5.1, 5.2
There is no homework due on Wednesday, March 26.
There are six homework problems from sections 3.6 and 4.1-4.4 due by
11:59pm on Wednesday, April 2.
This week we will look at the special cases of resonance and resonant frequency
in undamped and damped harmonic oscillators, respectively.
We will continue to practice the method of complexification for finding particular
solutions, which takes advantage of the arithmetic of the complex numbers.
Introduction to Ordinary Differential Equations
Week 1 (January 5-11)
1.1 Modeling
1.2 Separation of Variables
Week 2 (January 12-18)
1.3 Slope Fields
1.4 Euler's Method
1.5 Existence and Uniqueness
Week 3 (January 19-25)
1.6 Equilibria and the Phase Line
1.7 Bifurcations
Week 4 (January 26-February 1)
1.8 Linear Equations
1.9 Integrating Factors for Linear Equations
Week 5 (February 2-8)
2.1 Modeling via Systems
2.2 The Geometry of Systems
2.3 The Damped Harmonic Oscillator
Week 6 (February 9-15)
(weather cancellation)
The content from Sections 2.4, 2.5, 2.7, and 3.1 is covered in the following
videos.
2.4 Additional Analytic Methods for Special Systems
2.5 Euler's Method for Systems
2.7 The SIR Model of an Epidemic
3.1 Properties of Linear Systems and the Linearity Principle
Week 7 (February 16-22)
3.2 Straight-line Solutions
Exam 1
Week 8 (February 23-March 1)
3.3 Phase Portraits for Linear Systems with Real Eigenvalues
3.4 Complex Eigenvalues
3.5 Special Cases: Repeated and Zero Eigenvalues
Week 9 (March 2-8)
Week 10 (March 9-15)
3.7 The Trace-Determinant Plane
5.1 Equilibrium Point Analysis
5.2 Qualitative Analysis
Week 11 (March 16-22)
3.6 Second-Order Linear Equations
4.1 Forced Harmonic Oscillators
4.2 Sinusoidal Forcing
Week 12 (March 23-29)
4.3 Undamped Forcing and Resonance
4.4 Amplitude and Phase of the Steady State
Exam 2
Week 13 (March 30-April 5)
Appendix B Power Series: The Ultimate Guess
6.1 Laplace Transforms
6.2 Discontinuous Functions
Week 14 (April 6-12)
6.3 Second-Order Equations
6.4 Delta Functions and Impulse Forcing
Week 15 (April 13-19)
Week 16 (April 20-26)