MA2051 Sections D06-D10 D'20 Canvas (2 pm EST)

Course Information Homework Assignment Course Materials & News

Text: S.J. Farlow, An Introduction to Differential Equations & Their Applications, Dover Publications, 2006.

• The following plan for the lecture meetings is tentative. It will be followed rather closely, but minor deviations from the outlined schedule are not excluded.
• Some additional topics important for the course (but not mentioned below) may be covered in conferences.

Lecture Meetings: Day & Date	Conference/ Quiz	Topic	Text's Section
1: Wed, Mar 25	-	Introduction. Background review. Basic concepts	1.1
2: Thur, Mar 26	# 1	Basic theory. Classifying ODEs. Verifying solutions	1.2
3: Fri, Mar 27	-	Initial value problems. General and particular solutions. Separable equations	1.2, 2.2
4: Mon, Mar 30	-	Integrating factors	2.1
5: Tue, Mar 31	# 2 / 1	Growth/decay phenomena	2.3
6: Thur, Apr 2	# 3	Introduction to 2nd-order linear equations	3.1
7: Fri, Apr 3	-	Linear independence of two functions. The Wronskian	3.2, 3.4
8: Mon, Apr 6	-	Homogeneous equations with constant coefficients - real and complex roots	3.4, 3.5
9: Tue, Apr 7	# 4 / 2	Nonhomogeneous equations	3.6
10: Thur, Apr 9	# 5	Method of undetermined coefficients	3.7
11: Fri, Apr 10	-	Method of undetermined coefficients (cont'd)	3.7
12: Mon, Apr 13	-	Method of variation of parameters for nonhomogeneous equations	3.8
13: Tue, Apr 14	# 6 / 3	Method of variation of parameters (cont'd). Review of topics in Exam I	3.8
14: Thur, Apr 16	# 7	All covered topics in Chapters 1, 2, Sections 3.1, 3.4-3.7	Exam I
15: Fri, Apr 17	-	Mechanical systems and harmonic motion	3.9
16: Tue, Apr 21	# 8 / 4	Simple harmonic motion (cont'd)	3.9
17: Thur, Apr 23	# 9	Unforced damped vibrations	3.10
18: Fri, Apr 24	-	Forced vibrations	3.11
19: Mon, Apr 27	-	The Laplace Transform - definition and properties.	5.1
20: Tue, Apr 28	# 10 / 5	The Laplace Transform - properties (cont'd)	5.2
21: Thur, Apr 30	# 11	Table of Laplace Transforms	5.2
22: Fri, May 1	-	Inverse Laplace Transform	5.3
23: Mon, May 4	-	Initial-value problems	5.4
24: Tue, May 5	# 12 / 6	Step functions and delayed functions	5.5
25: Thur, May 7	# 13	Laplace Transform of delayed and periodic functions	5.5
26: Fri, May 8	-	Equations with discontinuous forcing functions. Review of topics in Exam II	5.6
27: Mon, May 11	-	All covered topics in Sections 3.8-3.11 and Chapter 5	Exam II

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Last modified: Mon, Mar 30, 2020