Course schedule

This schedule is tentative and may change slightly as the term progresses.

Not included on this schedule: There will be a weekly worksheet handed in during each tutorial session, starting during the second week of class. Pre-lecture WeBWorK assignments will be due before each lecture and a post-lecture assignment will be due each week.

Regarding textbook references below: These references are to Boyce and DiPrima (an unofficial hardcopy textbook) and Diffy Qs (the official online textbook).

Week			Chapters/sections		Topics
			(Diffy Qs)	(B & D)
1	Jan 3	/ Jan 5	0.2	1.1	Intro to differential equation models
			0.2, 1.1	1.2	Introduction to solutions of differential equations
			--	1.3	Classification of DEs.
			1.4	2.1	First order linear equations - Method of Integrating Factors
2	Jan 10	/ Jan 12	1.3	2.2	First order separable equations
			--	2.3	Modeling with First Order DEs
			1.2	2.4	Linear and nonlinear equations - existence and uniqueness
			2.1, 2.2	3.1	Second order linear equations - Homogeneous equations with constant coefficients (real roots of the characteristic equation)
			--	3.2	Second order linear equations - The Wronskian
3	Jan 17	/ Jan 19	2.2	3.3	Second order linear equations - Complex root of the characteristic equation
			--	3.4	Repeated roots; Reduction of order
			2.5	3.5	Nonhomogeneous equations; method of undetermined coefficients
4	Jan 24	/ Jan 26	2.4	3.7	Mechanical and electrical vibrations
			2.6	3.8	Forced vibrations
5	Jan 31				Midterm 1
	Feb 2		3.1	7.1	Introduction to systems of first order linear equations
			3.2	7.2	Review of matrices
			3.2	7.3	Systems of linear equations;linear independence, eigenvalues, eigenvectors
6	Feb 7	/ Feb 9	3.3	7.4	Basic theory of systems of first order linear equations
			3.4	7.5	Homogeneous linear systems with constant coefficients
			3.4	7.6	Complex eigenvalues
7	Feb 13				Family Day - no tutorial
	Feb 14	/ Feb 16	3.4	7.8	Repeated roots
			3.9	7.9	Summary of homogeneous 2x2 systems. Nonhomogeneous linear systems (Method of Undetermined Coefficients, constant vector only)
	Feb 21	/ Feb 23			Reading break
8	Feb 28	/ Mar 2	6.1	6.1	Definition of the Laplace Transform
			6.2	6.2	Solution of IVPs
			6.2	6.3	Step functions
			--	6.4	DEs with discontinuous forcing functions
9	Mar 7	/ Mar 9			Step, ramp and other piecewise linear forcing functions
			6.4	6.5	Impulse, Dirac delta function
10	Mar 14				Midterm 2
	Mar 16		6.3	6.6	The convolution integral
			4.1,4.2	10.2	Fourier series
11	Mar 21	/ Mar 23	4.4	10.4	Fourier series for even and odd functions
			4.6	10.5	Heat conduction
12	Mar 28	/ Mar 30	--	10.6	Other heat conduction problems
13	Apr 4	/ Apr 6