Home
Teaching
Calculus Website
Precalculus Website

Differential Equations
and Linear Algebra

by Kiryl Tsishchanka

SYLLABUS
(3:00-4:00pm)
SYLLABUS
(4:00-5:00pm)
GRADE CALCULATOR
Course Evaluations
WolframAlpha
Tests
Weeks Dates Sections Handouts Recommended Homework
1
Aug 29, 31 Section 1.1 Introduction

Section 1.2 First-order linear differential equations
1-16 S1 S2
2
Sep 5, 7
Section 1.4 Separable equations
1-5, 6-12 (solve the given initial-value problem only) S1 S2
Section 1.9
Exact equations, and why we cannot solve very many differential equations
3-11 S1 S2
3
Sep 10, 12, 14
Section 1.10 The existence-uniqueness theorem; Picard iteration
1-3, 4-15 S1 S2
Section 2.1
Algebraic properties of solutions
1-7 S1 S2
Section 2.2
Linear equations with constant coefficients
Page 140: 1-8; Page 144: 1-6, 8, 9; Page 149: 1-4, 6, 7 S1 S2
4
Sep 17, 19, 21
Section 2.3 The nonhomogeneous equation 1-3 S
Section 2.4 The method of variation of parameters 1-8 S
5
Sep 24, 26, 28
Section 2.5
The method of judicious guessing
1-16 S1 S2
Section 2.8
Series solutions
Page 197: 1-8; Page 203: 1-8 S1 S2
6
Oct 1, 3
Section 3.1
Algebraic properties of solutions of linear systems
1-15 S1 S2
Oct 5
Sections 1.1, 1.2, 1.4, 1.9, 1.10, 2.1-2.5, 2.8 MIDTERM 1
7
Oct 8, 10, 12
Section 3.2 Vector spaces 1-12 S
Section 3.3
Dimension of a vector space
1-11 S1 S2
8
Oct 15, 17, 19
Section 3.4 Applications of linear algebra to differential equations
1-9 S
Section 3.5
The theory of determinants
3-8, 10-15 S
9
Oct 22, 24, 26
Section 3.6 Solutions of simultaneous linear equations 1-4, 9-14, 17-20 S
Section 3.7
Linear transformations
1-13, 19-21 S
10
Oct 29, 31, Nov 2
Section 3.8
The eigenvalue-eigenvector method of finding solutions
1-12 S
Section 3.9
Complex roots
1-8 S
11
Nov 5, 7, 9
Section 3.10
Equal roots
1-8 S
Section 3.11
Fundamental matrix solutions; eAt
1-10 S
12
Nov 12, 14
Section 4.1
Introduction 1-8
Section 4.2 Stability of linear systems 1-10
Section 4.4 The phase-plane 1-3, 5-14
Nov 16 Sections 3.1-3.11 MIDTERM 2
13
Nov 19
Section 4.7 Phase portraits of linear systems 1-9
14
Nov 26, 28, 30
Section 5.1
Two point boundary-value problems 1-9 S
Section 5.2 Introduction to partial differential equations
Section 5.3 The heat equation; separation of variables 1-7 S
15
Dec 3, 5, 7 Section 5.4
Fourier series 1-13
16
Dec 10 Section 5.5 Even and odd functions 1-11
Section 5.6
Return to the heat equation
1, 2
17
Dec 14 (Fri) 7:00-10:00pm
 
MWF 4:00-5:00pm group (54040)
Cumulative FINAL EXAM
Dec 18 (Tue) 2:00-5:00pm
 
MWF 3:00-4:00pm group (54035)