Math 256 WINTER 2017, List of lectures

  • 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.