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Math 256 FALL 2010, List of lectures
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On this page I will post content of all lectures. All handouts also will be posted here.
Monday, September 27: Differential Equations as Mathematical Models.
Direction Fields. Section 1.1.
Tuesday, September 28: Solving some differential equations. Section 1.2.
Wednesday, September 29: Order of differential equation. Linear and
nonlinear differential equations. First order linear differential equations.
Sections 1.3 and 2.1. Here is your homework!
Friday, October 1: Method of integrating factor. Section 2.1.
Monday, October 4: Separable equations. Section 2.2.
Tuesday, October 5: Problem solving. We will have QUIZ on Friday!!!
Wednesday, October 6: Homogeneous equations. Section 2.2.
New homework!
Friday, October 8: Modeling with first order differential equations. Section 2.3. Here are the solutions for the quiz.
Monday, October 11: Modeling in economics. Section 2.3.
Tuesday, October 12: Problem solving. We will have QUIZ on Friday!!!
Wednesday, October 13: Modeling in ecology and physics. Section 2.3.
New homework!
Friday, October 15: Escape velocity. Section 2.3.
Here are the solutions for the quiz.
Monday, October 18: Existence and uniquenes of solutions. Section 2.4.
Tuesday, October 19: Problem solving. We will have MIDTERM on Friday!!!
Wednesday, October 20: More on existence and uniqueness.
Autonomous equations. Sections 2.4-2.5. New homework!
Friday, October 22: MIDTERM.
Here are the solutions.
Monday, October 25: More on autonomous equations. Section 2.5.
Tuesday, October 26: Problem solving.
Wednesday, October 27: Exact equations and integrating factors.
Section 2.6. New homework!
Friday, October 29: Second order homogeneous linear equations with
constant coefficients. Section 3.1.
Monday, November 1: Complex roots of characteristic equations. Section 3.3.
We will have QUIZ on Friday!!!
Tuesday, November 2: Problem solving.
Wednesday, November 3: Wronskian. Reduction of the order.
Sections 3.2 and 3.4. New homework!
Friday, November 5: Repeated roots of characteristic
equation. Section 3.4. Here are the solutions
for the quiz.
Monday, November 8: Nonhomogeneous equations: method of undetermined
coefficients. Section 3.5. We will have QUIZ on Friday!!!
Tuesday, November 9: Problem solving.
Wednesday, November 10: Nonhomogeneous equations: variation of
parameters. Section 3.6. New homework!
Friday, November 12: Applications of linear second order equations:
vibrations. Section 3.7. Here are the solutions
for the quiz.
Monday, November 15: Free damped vibrations. Section 3.7.
We will have MIDTERM on Friday!!!
Tuesday, November 16: Problem solving.
Wednesday, November 17: Forced vibrations. Section 3.8.
New homework!
Friday, November 19: MIDTERM.
Here are the solutions.
Monday, November 22: Systems of First Order Equations. Matrices.
Sections 7.1-7.2.
Tuesday, November 23: Problem solving.
Wednesday, November 24: Linear algebraic equations.
Section 7.3. Last homework!
Friday, November 26: Thanksgiving.
Monday, November 29: Eigenvalues, eigenvectors and how to use them
for solving homogeneous linear first order systems with constant coefficients.
Sections 7.3-7.5.
Tuesday, November 30: Problem solving.
Wednesday, December 1: Solving homogeneous linear first order systems
with constant coefficients. Section 7.5.
Find here practice problems for the final.
Here are the answers.
Friday, November 26: Complex eigenvalues. Section 7.6.
THE END
We will have additional Office Hours on Wednesday, December 8, 1-3pm,
Deady 10B.