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Math 256 FALL 2014, 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 29: Differential Equations as Mathematical Models.
Direction Fields. Section 1.1.
Tuesday, September 30: Solving some differential equations. Section 1.2.
Wednesday, October 1: 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 3: Method of integrating factor. Section 2.1.
Monday, October 6: Separable equations. Section 2.2.
Tuesday, October 7: Problem solving. We will have QUIZ on Friday!!!
Wednesday, October 8: More separable equations. Homogeneous equations. Section 2.2.
New homework!
Friday, October 10: Modeling with first order differential equations. Section 2.3.
Here are the solutions for the quiz.
Monday, October 13: Mixing and modeling in economics. Section 2.3.
We will have QUIZ on Friday!!!
Tuesday, October 14: Problem solving.
Wednesday, October 15: Modeling in ecology. Section 2.3.
New homework!
Friday, October 17: Escape velocity. Section 2.3.
Here are the solutions for the quiz.
Monday, October 20: Existence and uniqueness of solutions. Section 2.4.
We will have MIDTERM on Friday!!!
Tuesday, October 21: Problem solving.
Wednesday, October 22: More on existence and uniqueness.
Autonomous equations. Sections 2.4-2.5. New homework!
Friday, October 24: MIDTERM.
Here are the solutions.
Monday, October 27: More on autonomous equations. Section 2.5.
Tuesday, October 28: Problem solving.
Wednesday, October 29: Exact equations and integrating factors.
Section 2.6. New homework!
Friday, October 31: Second order homogeneous linear equations with
constant coefficients. Section 3.1.
Monday, November 3: Complex roots of characteristic equations. Section 3.3.
We will have QUIZ on Friday!!!
Tuesday, November 4: Problem solving.
Wednesday, November 5: Wronskian. Reduction of the order.
Sections 3.2 and 3.4.
New homework!
Friday, November 7: Repeated roots of characteristic
equation. Section 3.4. Here are the solutions for the quiz.
Monday, November 10: Nonhomogeneous equations: method of undetermined
coefficients. Section 3.5. We will have QUIZ on Friday!!!
Tuesday, November 11: Problem solving.
Wednesday, November 12: Nonhomogeneous equations: variation of
parameters. Section 3.6. New homework!
Friday, November 14: Applications of linear second order equations:
vibrations. Section 3.7. Here are the solutions
for the quiz.
Monday, November 17: Free damped vibrations. Section 3.7.
We will have MIDTERM on Friday!!!
Tuesday, November 18: Problem solving.
Wednesday, November 19: Forced vibrations. Section 3.8.
New homework!
Friday, November 21: MIDTERM.
Here are the solutions.
Monday, November 24: Systems of First Order Equations. Matrices.
Sections 7.1-7.2.
Tuesday, November 25: Problem solving.
Wednesday, November 26: Linear algebraic equations.
Section 7.3. Last homework!
Friday, November 28: Thanksgiving.
Monday, December 1: Eigenvalues, eigenvectors and how to use them
for solving homogeneous linear first order systems with constant coefficients.
Sections 7.3-7.5.
Find here practice problems for the FINAL!
Tuesday, December 2: Problem solving.
Wednesday, December 3: Solving homogeneous linear first order systems
with constant coefficients. Complex eigenvalues. Sections 7.5-7.6.
Some problems to practice (ignore questions about direction fields):
Section 7.5: 3,4,6,15,16; Section 7.6: 4,5,6,9,10.
Friday, December 5: Review.
Here are the answers to review problems.
THE END