Math 256 FALL 2014, List of lectures

• 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