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21-260 Differential Equations

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Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Jan 16 - 20
M: Martin Luther King Day. No class.
W: Introduction to Differential Equations.
F: Class will not meet on Friday, January 20.
Week #2:
Jan 23 - 27
M: Seperable Equations.
W: Some Basic Mathematical Models.
F: Linear First Order Differential Equations.
Week #3:
Jan 30 - Feb 3
M: Direction Fields.
W: Existence and Uniqueness Theorems.
F: Autonomous Differential Equations.
Week #4:
Feb 6 - 10
M: The Phase Line.
W: Definition of the Laplace Transform
F: Inverse Transforms and Transforms of Derivatives
Week #5:
Feb 13 - 17
Exam Review
M: Solving Second Order Linear Equations.
W: Properties of the Laplace Transform - Translations.
F: Exam #1 is scheduled for Friday during class time.
Week #6:
Feb 20 - 24
M: Undamped Harmonic Oscillators.
W: Damped Harmonic Oscillators.
F: Solving Non-Homogeneous Linear Equations.
Week #7:
Feb 27 - Mar 3
M: Harmonic Oscillators with External Forcing.
W: Transforms of Step Functions
F: Discontinuous Forcing Functions
Week #8:
Mar 6 - 10
M: Impulse Functions
W: The Convolution Integral
F: Mid-Semester Break. No Class.
Spring Break:
Mar 13 - 17
Spring Break!
Week #9:
Mar 20 - 24
Exam Review
M: Convolution Integrals and Laplace Transforms
W: Exam #2 is tentatively scheduled for Wednesday, March 22 at 7:30am.
W: (Makeup Lecture) Systems of Differential Equations
F: Laplace Transforms and Parametric Curves
Week #10:
Mar 27 - 31
M: Graphing solutions to systmes of equations. Nullclines.
W: Analytic and Qualitative Techniques
F: Analytic and Qualitative Techniques
Week #11:
Apr 3 - 7
M: Theory of Second Order Linear Equations
W: Fundamental Sets of Solutions
F: Theory of First order Linear Systems
Week #12:
Apr 10 - 14
M: Phase Portraits and Classification of Equlibrium Points
W: Classification of Equilibrium Points for Linear and Nonlinear Equations
F: Fourier Series.
Week #13:
Apr 17 - 21
Exam Review
M: Exam #3 is scheduled for Monday, April 17, at 7:30am.
W: The Fourier Convergence Theorem.
F: Spring Carnival. No class.
Week #14:
Apr 24 - 28
W: Fourier Sine and Cosine Series.
F: The Wave Equation, Separation of Variables.
Week #15:
May 1 - 5
M: Separation of Variables, Boundary Value Problems.
W: Solutions to the Wave Equation.
F: More About theWave Equation and other Fun Topics.
Final Exam
Exam Review
The Final Exam has been scheduled for Tuesday, May 9, from 1:00-4:00pm. in DH 2210. Please take this into account when making your travel plans.