Home
Teaching
Calculus Website
Precalculus Website

Differential Equations
and Linear Algebra

by Kiryl Tsishchanka

SYLLABUS
(8:00-9:30am)

SYLLABUS
(2:00-3:30pm)
GRADE CALCULATOR
Course Evaluations
WolframAlpha
Tests

Weeks Dates Sections Handouts Recommended Homework
1
Jan 16, 18
Section 1.1 Introduction

Section 1.2 First-order linear differential equations
1-16 S
Section 1.4 Separable equations
1-5, 6-12 (solve the given initial-value problem only) S
2
Jan 23, 25
Section 1.9
Exact equations, and why we cannot solve very many differential equations
3-11 S
Section 1.10 The existence-uniqueness theorem; Picard iteration
1-15 S
3
Jan 30, Feb 1 Section 2.1
Algebraic properties of solutions
1-7 S
Section 2.2
Linear equations with constant coefficients
Page 140: 1-8; Page 144: 1-6, 8, 9; Page 149: 1-4, 6, 7 S
Section 2.3 The nonhomogeneous equation 1-3 S
4
Feb 6, 8 Section 2.4
The method of variation of parameters
1-8 S
Section 2.5
The method of judicious guessing
1-16 S
5
Feb 13, 15
Section 2.8
Series solutions
Page 197: 1-8; Page 203: 1-8 S
Section 3.1
Algebraic properties of solutions of linear systems
1-15 S
6
Feb 20
Section 3.2
Vector spaces
1-12 S
Feb 22 Sections 1.1, 1.2, 1.4, 1.9, 1.10, 2.1-2.5, 2.8 MIDTERM 1
7
Feb 27, Mar 1 Section 3.3
Dimension of a vector space
1-11 S
Section 3.4 Applications of linear algebra to differential equations
1-9 S
8
Mar 6, 8 Section 3.5
The theory of determinants
3-8, 10-15 S
Section 3.6 Solutions of simultaneous linear equations 1-4, 9-14, 17-20 S
9
Mar 12-17 Spring break
10
Mar 20, 22 Section 3.7
Linear transformations
1-13, 19-21 S
Section 3.8
The eigenvalue-eigenvector method of finding solutions
1-12 S
11
Mar 27, 29 Section 3.9
Complex roots
1-8 S
Section 3.10
Equal roots
1-8 S
12
Apr 3
Section 3.11
Fundamental matrix solutions; eAt
1-11 S
Apr 5
Sections 3.1-3.7 MIDTERM 2

13
Apr 10, 12 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
14
Apr 17, 19 Section 4.7 Phase portraits of linear systems 1-9
Section 5.1
Two point boundary-value problems 1-9
15
Apr 24, 26 Section 5.2 Introduction to partial differential equations
Section 5.3
The heat equation; separation of variables 1-7
16
May 1, 3 Section 5.4
Fourier series 1-13
Section 5.5 Even and odd functions 1-11
Section 5.6
Return to the heat equation
1, 2
17
May 14 (Mon) 2:00-5:00pm
 
TTH 2:00-3:30pm group (53895)
Cumulative FINAL EXAM
May 15 (Tue) 2:00-5:00pm
 
TTH 8:00-9:30am group (53865)