Math 215/255: Elementary Differential Equations I Section 104, Fall 2017 Lectures: 1:00 - 2:00 pm Monday, Wednesday, and Friday Venue: Irving K Barber Learning Centre, Room 261 Office hours: LSK 300, Mondays 11am - 12noon and Wednesdays 11am - 12noon Information on textbook, grading, WebWork, homework, Matlab/Octave, labs, ... can be found on the course common webpage. Email: iyaniwura@math.ubc.ca List of Topics Lecture notes: First class: Motivation: Simple epidemic model Wednesday, 6 September 2017 Day 2: Simple epidemic model (cont..) and introduction to differential equations Friday, 8 September 2017 Matlab demo: SIRmodelRHS.m and SIRmodel_Script.m Day 3: Existence and uniqueness of solutions of ODEs Monday, 11 September 2017 Day 4: Separable first order ODEs and method of integrating factor Wednesday, 13 September 2017 Day 5: Slope fields and Autonomous equations Friday, 15 September 2017 Day 6: Slope fields and Autonomous equations (cont...) Monday, 18 September 2017 Matlab demo: SlopeField_Demo.m Note: You will need the dirfield.m function to run this demo. Day 7: Exact equations Wednesday, 20 September 2017 Day 8: Exact equations (cont...) and Euler's method Friday, 22 September 2017 Matlab demo: EulerMethod_Demo.m Day 9: Error analysis for Euler's method and Improved Euler's method Monday, 25 September 2017 Day 10: Linear system of first order ODEs Wednesday, 27 September 2017 Day 11: Constant coefficeint linear systems Friday, 29 September 2017 Day 12: Linear systems with repeated eigenvalues Monday, 2 October 2017 Day 13: Repeated eigenvalues (cont...) and complex eigenvalues Wednesday, 4 October 2017 Matlab demo: VectorField_Demo.m Day 14: Complex eigenvalues (cont...) and Vector field Wednesday, 11 October 2017 Day 15: Classification of equilibria Wednesday, 6 October 2017 Day 16: Classification of equilibria (cont...) and Fundamental matrix Friday, 13 October 2017 Day 17: Review for midterm1 Monday, 16 October 2017 Day 18: Midterm 1 Wednesday, 18 October 2017 Day 19: Fundamental matrix (cont...) and Matrix exponential Friday, 20 October 2017 Day 20: Forced systems Monday, 23 October 2017 Day 21: Second order constant coefficient ODEs Wednesday, 25 October 2017 Day 22: Damping Friday, 27 October 2017 Day 23: Non-homogeneous second order ODEs Monday, 30 October 2017 Day 24: Non-homogeneous second order ODEs (cont...) Wednesday, 1 November 2017 Day 25: Resonance and Beats Friday, 3 November 2017 Matlab demo: Beats_Demo.m Day 26: Frequency Response Monday, 6 November 2017 Day 27: Autonomous Nonlinear system: Competing species model Wednesday, 8 November 2017 Day 28: Autonomous Nonlinear system: Nonlinear pendulum Friday, 10 November 2017 Matlab demo: Competing_Species_Demo.m Day 29: Midterm 2 Version 1 and Version 2 Wednesday, 15 November 2017 Day 30: Autonomous Nonlinear system: Epidemic model Friday, 17 November 2017 Day 31: Epidemic model (cont...) and Laplace transform Monday, 20 November 2017 Matlab demo: HIV_model_Demo.m Day 32: Laplace transform (cont...) Wednesday, 22 November 2017 Day 33: Laplace transform (cont...) Friday, 24 November 2017 Day 34: Laplace transform: Impulse function and Dirac delta function Monday, 27 November 2017 Day 35: Laplace transform: Convolution Wednesday, 29 November 2017 Last Class: Laplace transform: Impulse response function Friday, 1 December 2017 Class Quiz : Quiz 1 (15 mins): Friday, 15 September Quiz 1 Quiz 2 (15 mins): Friday, 29 September Quiz 2 Quiz 3 (15 mins): Friday, 13 October Quiz 3 Quiz 4 (15 mins): Friday, 27 October Quiz 4 No more Quizzes. Some practice problems. Solutions Written homework assignment : Examinations : Midterm 1 Wednesday, 18 October 2017 Time: 1:00 PM Venue: In class, Irving K Barber Learning Centre, Room 261 List of topics Questions and Solutions Midterm 2 Wednesday, 15 November 2017 Time: 1:00 PM Venue: In class, Irving K Barber Learning Centre, Room 261 List of topics Solutions: Version 1 and Version 2 Final exam Date: Saturday, 9 December 2017 Time: 12.00 PM Venue: ANGU 098 List of topics Click here to return to home page.