Department of Mathematics
University of Toronto
office: DH3017 (at UTM)
email: remus.radu@utoronto.ca
This is our weekly schedule and it will be updated as we advance in the semester, please check regularly.
Week  Lectures (Assigned Reading)  Assignments 
Week 1 9/6  9/9 
1.1, 1.2: Differential Equations: introduction & terminology 1.3, Appx A1: Existence and Uniqueness of solutions; Examples 
HW 1

Week 2 9/10  9/16 
1.4: Separable equations and direction fields 1.5: Method of integrating factors 1.6: Exact equations & examples 

Week 3 9/17  9/23 
1.6: Exact equations and substitution methods 1.4, 2.1: Modelling with 1st order differential equations 
HW 2

Week 4 9/24  9/30 
2.1: Autonomous differential equations & the logistic equation 2.2, 2.3: Equilibrium solutions and stability 2.4: Euler's method & graphical analysis of numerical methods 

Week 5 10/1  10/7 
3.1: Second order linear equations; the characteristic equation 3.1, 3.3: Homogeneous equations with constant coefficients 3.2, 3.3: Higher order differential equations & Examples 3.5: Nonhomogeneous equations, particular solutions 

Week 6 10/8  10/14 
Fall Break 
Practice Problems 
Week 7 10/15  10/21 
3.5: Nonhomogeneous equations & Examples 3.4, 3.6: Mechanical vibrations; free and forced oscillators 

Week 8 10/22  10/28 
Review  
Midterm – Thursday, October 25, in class – Version1 – Version2  
Week 9 10/29  11/4 
4.1, 5.1: Systems of differential equations 4.2: The method of ellimination & Examples 5.2: The eigenvalue method for homogeneous systems & Examples 
HW 3 
Week 10 11/5  11/11 
5.5: Multiple eigenvalue solutions; Generalized eigenvectors 5.5: Algebraic and geometric multiplicities 5.6: Exponential of a matrix and linear systems 

Week 11 11/12  11/18 
5.7: Nonhomogeneous linear systems 5.3, 6.1: Stability analysis of linear and nonlinear systems 6.1, 6.2: Critical points, sinks, saddles, sources & Examples 
HW 4 
Week 12 11/19  11/25 
6.3: Ecological models: predators & competitors 8.1: Power series solutions 

Week 13 11/25  12/2 
8.2: Series solutions near an ordinary point 8.3: Series solutions near a regular singular point 
Practice Problems

Week 14 12/3  12/4 
3.8, 9.5: An application of ODEs: the heat equation Final review & examples 

Dec 12  Final exam – 57PM in IB110 the final covers everything! 