Math 256 FALL 2010, List of lectures

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.