Date	Topics covered	Reference		Date	Topics covered	Reference		Date	Topics covered	Reference
1/15	NO CLASS (MLK Day)			1/17	introduction	1.1		1/19	solving DE's by integration	1.2
1/22	separable differential equations	1.4		1/24	IODE LAB #1	1.3		1/26	first-order linear equations	1.5
1/29	first-order linear equations continued (QUIZ 1 Solutions)	1.5		1/31	miscellaneous methods for first-order equations	1.6		2/2	existence and uniqueness theorem for first-order equations	1.3
2/5	population models, phaseline analysis, stability	2.1,2.2		2/7	IODE LAB #2	2.4		2/9	follow-up on Euler's method (QUIZ 2 Solutions)	2.4,2.5
2/12	review of Chapters 1 and 2			2/14	NO CLASS (snow day)			2/16	introduction to higher-order linear equations	3.1
2/19	second-order linear equations (continued)	3.1		2/21	constant coefficient linear equations: real roots to the characteristic equation	3.1		2/23	Midterm Exam #1 Solutions)	Study Guide and Practice Problems for Midterm Exam #1
2/26	constant coefficient linear equations (continued): complex roots to the characteristic equation	3.3		2/28	geometry of complex numbers	3.3		3/2	mechanical vibrations	3.4
3/5	mechanical vibrations (continued) (QUIZ 3 Solutions)	3.4		3/7	inhomogeneous equations: method of undetermined coefficients	3.5		3/9	inhomogeneous equations: method of undetermined coefficients (continued)	3.5
3/12	forced mechanical vibrations	3.6		3/14	IODE LAB #3	3.6		3/16	forced mechanical vibrations (continued)	3.6
3/26	higher-order linear equations	3.2		3/28	differential operators, linear independence	3.2		3/30	linear independence, Wronskian inhomogeneous equations: method of variation of parameters	3.2, 3.5
4/2	boundary value problems (QUIZ 4 Solutions)	3.8		4/4	review of higher-order equations			4/6	Midterm Exam #2	Study Guide and Practice Problems for Midterm Exam #2
4/9	periodic functions and orthogonality	9.1		4/11	Fourier series	9.1, 9.2		4/13	Fourier series (continued)	9.2
4/16	IODE LAB #4	9.1,9.2		4/18	Fourier sine and cosine series (QUIZ 5 Solutions)	9.3		4/20	using Fourier series to solve boundary value ODE's	9.4
4/23	using Fourier series to solve boundary value ODE's (continued)	9.4		4/25	heat equation	9.5		4/27	heat equation (continued) (QUIZ 6 Solutions)	9.5
4/30	Laplace's equation	9.7		5/2	Laplace's equation (continued)	9.7