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||Solutions|
||Fri 10.02||H2 and
||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.
||Fri 10.16||H3 and
||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.
||H7 and practice*||h7s, ph7s
||H8 and practice*||h8s, ph8s|
||last lecture and practice*||ph9s
|Thu 12.17 8:30am
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:
|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|
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.