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Math 256 WINTER 2017, 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, January 9: No class due to snow.
Tuesday, January 10: Differential Equations as Mathematical Models.
Direction Fields. Section 1.1.
Wednesday, January 11: Solving some differential equations. Section 1.2.
Friday, January 13: Order of differential equation. Linear and
nonlinear differential equations. First order linear differential equations.
Sections 1.3 and 2.1. Here is your homework!
Monday, January 16: no classes, Martin Luther King Jr day.
Tuesday, January 17: Homework discussion. We will have QUIZ on Friday!!!
Wednesday, January 18: Method of integrating factor. Section 2.1.
New homework!
Friday, January 20: Separable equations. Section 2.2.
Here are the solutions for the quiz.
Monday, January 23: More separable equations. Homogeneous equations. Section 2.2.
We will have QUIZ on Friday!!!
Tuesday, January 24: Homework discussion.
Wednesday, January 25: Modeling of mixing. Section 2.3.
New homework!
Friday, January 27: Modeling in economics and ecology. Section 2.3.
Here are the solutions for the quiz.
Monday, January 30: Escape velocity. Existence and uniqueness of solutions.
Sections 2.3-2.4.
We will have MIDTERM on Friday!!!
Tuesday, January 31: Homework discussion.
Wednesday, February 1: More on existence and uniqueness.
Section 2.4.
New homework!
Friday, February 3: MIDTERM.
Here are the solutions.
Monday, February 6: Autonomous equations. Section 2.5.
Tuesday, February 7: Homework discussion.
Wednesday, February 8: Exact equations and integrating factors. Section 2.6.
New homework!
Friday, February 10: Second order homogeneous linear equations with
constant coefficients. Section 3.1.
Monday, February 13: Complex roots of characteristic equations. Section 3.3.
We will have QUIZ on Friday!!!
Tuesday, February 14: Homework discussion.
Wednesday, February 15: Wronskian. Reduction of the order. Sections 3.2 and 3.4.
New homework!
Friday, February 17: Repeated roots of characteristic equation. Section 3.4.
Here are the solutions for the quiz.
Monday, February 20: Nonhomogeneous equations: method of undetermined
coefficients. Section 3.5. We will have QUIZ on Friday!!!
Tuesday, February 21: Homework discussion.
Wednesday, February 22: Nonhomogeneous equations: variation of
parameters. Section 3.6.
New homework!
Friday, February 24: Applications of linear second order equations:
vibrations. Section 3.7.
Here are the solutions for the quiz.
Monday, February 27: Free damped vibrations. Section 3.7.
We will have MIDTERM on Friday!!!
Tuesday, February 28: Homework discussion.
Wednesday, March 1: Forced vibrations. Section 3.8.
New homework!
Friday, March 3: MIDTERM.
Here are the solutions.
Monday, March 3: Systems of First Order Equations. Matrices.
Sections 7.1-7.2.
Tuesday, March 7: Homework discussion.
Wednesday, March 8: Linear algebraic equations. Section 7.3.
Last homework!
Friday, March 10: Eigenvalues, eigenvectors and how to use them
for solving homogeneous linear first order systems with constant coefficients.
Sections 7.3-7.5.
Monday, March 13: Solving homogeneous linear first order systems
with constant coefficients. Complex eigenvalues. Sections 7.5-7.6. Find here practice problems for the FINAL!
Tuesday, March 14: Homework discussion.
Wednesday, March 15: Phase plane. 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, March 17: Review.
Here are the answers to review problems.