MA 266 Ordinary Differential Equations, Section 001, Summer 2016
Important Information
Course webpage: MA 266 - Ordinary Differential Equations
My email: price79@purdue.edu
My office hours: Monday and Wednesday, noon - 1:00 pm, MATH 645
The grader for Section 001 is Anna-Rose Wolff. Any questions on how homework or quizzes are graded should be directed to her.
You may attend any of the office hours listed here, even if you are in a different class from them.
Announcements- The Final Exam will be on Wednesday, August 3, 2016, 3:30 pm - 5:30 pm, in CL 50 224
- Please fill out the online course evaluations. Your feedback is valuable to improve my teaching.
- A Guide to Variation of Parameters for Systems of Differential Equations
- For pplane8, you may use an online version instead of MATLAB, if you wish.
- Important Shifts of Trigonometric Functions
- Solving Systems of Equations in MATLAB
- Review of Complex Numbers
- A proof of why the Wronskian being nonzero implies that we have a fundamental set of solutions
- We really do need our initial conditions in a certain way for the Existence and Uniqueness Theorem
- The Skipped Example for Lesson 5 where Air Resistance is proportional to the square of velocity
- For dfield8, you may use an online version instead of MATLAB, if you wish.
- Lesson 5 Example Statements
- Day 1 Powerpoint for Class Procedures
My Lecture Notes
Note: While I strive to have good notes, I do make mistakes every so often. There is no guarantee that my notes are error free. That being said, the main ideas should be conveyed correctly.
- Lesson 1: Direction Fields (1.1)
- Lesson 2: Solutions and Classification (1.2, 1.3)
- Lesson 3: Integrating Factors (2.1)
- Lesson 4: Separable and Homogeneous Equations (2.2)
- Lesson 5: Mathematical Modeling (2.3)
- Lesson 6: Existence and Uniqueness, Bernoulli Equations (2.4)
- Lesson 7: Autonomous Equations (2.5)
- Lesson 8: Exact Equations (2.6)
- Lesson 9: Euler's Method (2.7)
- Lesson 10: The Characteristic Equation (3.1)
- Lesson 11: The Theory of Linear Equations and the Wronskian (3.2)
- Lesson 12: Complex Roots of the Characteristic Equation (3.3)
- Lesson 13: Repeated Roots and Reduction of Order (3.4)
- Lesson 14: Nonhomogeneous equations, Method of Undetermined Coefficients (3.5)
- Lesson 15: Variation of Parameters (3.6)
- Lesson 16: Mass-Spring Systems (3.7)
- Lesson 17: Forced Vibrations (3.8)
- Lesson 18: nth Order Linear Equations (4.1, 4.2)
- Lesson 19: Method of Undetermined Coefficients for nth Order Equations (4.3)
- Lesson 20: Piecewise Continuous Functions and the Laplace Transform (6.1)
- Lesson 21: Solving IVPs with the Laplace Transform (6.2)
- Lesson 22: Step (Heaviside) Functions (6.3)
- Lesson 23: IVPs with Piecewise-Defined Forcing Functions (6.4)
- Lesson 24: The Dirac δ (Unit Impluse) Function (6.5)
- Lesson 25: Convolution Integrals (6.6)
- Lesson 26: Systems of Differential Equations, Matrices (7.1, 7.2)
- Lesson 27: Eigenvalues/vectors, Theory of Linear Systems (7.3, 7.4)
- Lesson 28: Solving Systems with Distinct Real Eigenvalues, Intro to Phase Portraits (7.5)
- Lesson 29: Complex Conjugate Eigenvalues (7.6)
- Lesson 30: Repeated Real Eigenvalues (7.8)
- Lesson 31: Method of Undetermined Coefficients for Systems (7.9)
Quizzes and Solutions
Exam Information