Math 226: Calculus IV	Spring 1990
	Syllabus

Jan. 17	MO1 Basic Matrix Operations	p.10 19Ð35
19	MO1 Row & Column Operations	
22	MO2 Linear Equations	p.22 15 18 21Ð24
24	MO2 Guassian Elimination	p.23 28 29 30
26	MO4 Matrix Inversion	p.41 15Ð25 27 28
29	MO5 Determinants	p.51 21 23 25 27 28
31	MO6 Linear Dependence	p.58 15Ð24
Feb. 2	MO6 Linear Independence	p.59 25 26 27 29 32
5	M11 Gram-Schmidt	p.109 15 17 19 20 21 23
7	BD1.1 Ð1.2 Introduction to Differential Equations	p.6 1ace 2ace 3 5 7
9	BD2.1 Linear Equations	p.20 2 3 4 7 8 9 12 13 15 16
12	Review	
13	Exam I	
14	BD2.2 Linear Equations	p.27 1 3 5 6 8 11 13 15 21 23
16	BD2.3 Non-linear Equations	p.36 1ace 3 5 7 13
19	BD2.4 Seperable Equations	p.41 1Ð19 odd
21	BD2.5 Applications of 1st Order Equations	p.50 5 7 13 19 20
23	BD2.6 Population Dynamics & Related Problems	p.65 1Ð4 20Ð22 24
26	BD2.7 Elementary Mechanics	p.76 3 7 9 13 15 17
28	BD2.8 Exact Equations	p.83 1Ð15 odd
Mar. 2	BD2.9 Integrating Factors	p.87 1 7Ð10 12
5	BD2.10 Homogeneous Equations	p.90 1 3 4 5 9
7	BD3.1 Introduction to 2nd Order Equations	p.111 1abc 2abe 3ab 4
9	BD3.2 Fundamental Solutions of the Homogeneous Eqn.	p.120 1 2 6 8 10 11ac 13 14
10Ð18	Midsemester Break	
19	BD3.3 Linear Independence	p.126 1 2 4 6 7 8
21	Review	
22	Exam II	
23	BD3.4 Reduction of Order	p.130 1 3 5 9 12
26	BD3.5 Homogeneous Eqns. with Constant Coefficients	p.136 1 3 5 7 9 10Ð14
28	BD3.5.1 Complex Numbers	p.140 4 7Ð10
30	BD3.6 Non-homogeneous Problem	
Apr. 2	BD3.6.1 Method of Undetermined Coefficients	p.154 1Ð19 odd
4	BD3.6.2 Method of Variation of Parameters	p.160 1Ð11 odd
6	BD3.7.1 Free Vibrations	p.171 1Ð11 odd
9	BD4.1 Power Series	
11	BD4.1 Power Series	p.192 1aÐf 2 3 5aÐd 6
13	Easter	
16	Easter	
18	BD4.2 Series Solns at an Ordinary Point I	p.206 2Ð5 9
20	BD4.2.1 Series Solns at an Ordinary Point II	p.212 1a 2 5
23	Review	
24	Exam III	
25	BD4.3 Regular Singular Points	p.219 1Ð11 odd
27	BD4.4 Euler Equations	p.225 1Ð6 16
30	BD4.5 Series Solns at a Regular Singular Point I 	p.232 1Ð7
May 2	BD4.5.1  Series Solns at a Regular Singular Point II	p.238 1Ð8 9 12
4	Review	
M ay 11	Final Exam 7:30-9:30 p.m.