## Information for all sections

Course outline: pdf file.

Textbook: Notes on Diffy Qs: Differential Equations for Engineers, by Jiri Lebl, (online and free, there is a link to affordable paperback)

Supplementary text: Differential Equations and Their Applications, 4th Ed., by Martin Braun (accessible from inside UBC or via VPN). We will follow Braun's section 1.9 for the topic on exact equations.

### Homework sets and Exams

Week
Date
Homework sets and Exams Solutions
1
Wed 09.09
first lecture

2
Fri 09.18

3
Fri 09.25
H1 and practice*
h1s, ph1s
4
Fri 10.02 H2 and practice*
h2s, ph2s
5
Fri 10.09
Midterm Exam 1
It will cover Sections 1.1-1.4, 1.6, 1.7, and Braun 1.9. It will not cover 1.5 nor Chapter 2.
Sample 1 for MT1 and solutions, Sample 2 for MT1 and solutions. Problem 4 of the sample exams are from Chapter 2 and not covered in our midterm exam.
S101,S102
S103
S104
6
Fri 10.16 H3 and practice*
h3s, ph3s
7
Fri 10.23
H4 and practice*
h4s, ph4s
8
Fri 10.30
H5 and practice*
h5s, ph5s
9
Fri 11.06
H6 and practice*
h6s, ph6s
10
Fri 11.13
Midterm Exam 2
It will cover Chapters 2 and 6, except sections 2.3, 6.2.4, 6.3.3 and 6.4.4. It does not cover reduction of order.
Table of Laplace transform to be provided in the exams
Sample 1 for MT2 and solutions, Sample 2 for MT2 and solutions.
S101,S102
S103
S104
11
Fri 11.20
H7 and practice* h7s, ph7s
12
Fri 11.27
H8 and practice* h8s, ph8s
13
Fri 12.04
last lecture and practice* ph9s

Thu 12.17 8:30am
Final Exam
In addition to sections covered in MT1 and MT2, it will cover sections 3.3-3.5, 3.7, 3.9, and 8.1-8.3. It will not cover 3.6, 3.8, 3.9.3. It will not cover methods of eigenvector decomposition and undetermined coefficients in 3.9.1, and global phase portrait in 8.3.
Section 101: HEBB 100
Section 102: MATH 100
Section 103: BUCH A101
Section 104: HEBB 100
Revised table of Laplace transform and variation of parameters, to be provided in final exam.

Old final exams:

* Practice homework and exams may not cover exactly the same sections

### List of MATH 215/255 sections

Section Instructor Location Time Section Link
101 Mingfeng Zhao Leonard S. Klinck (CSCI) 201 MWF 8:00a-9:00a Section Link
102 Tai-Peng Tsai Leonard S. Klinck (CSCI) 200 MWF 9:00a-10:00a Section Link
103 Theodore Kolokolnikov Leonard S. Klinck (CSCI) 200 MWF 1:00p-2:00p Section Link
104 Mingfeng Zhao BUCH A103 MWF 1:00p-2:00p Section Link

Resources:

Calendar description:

MATH 215: First-order equations; linear equations; linear systems; Laplace transforms; numerical methods; trajectory analysis of plane nonlinear systems. Applications of these topics will be emphasized.
MATH 255: Review of linear systems; nonlinear equations and applications; phase plane analysis; Laplace transforms; numerical methods.
Prerequisite: One of MATH 101, MATH 103, MATH 105, MATH 121, SCIE 001 and one of MATH 152, MATH 221, MATH 223.
Corequisite: One of MATH 200, MATH 217, MATH 226, MATH 253, MATH 263.