vcc.ca
MATH 2310: Ordinary Differential Equations
Effective date
September 2017
Department
UT Math
School
Arts and Sciences
Description
This course explores the solutions to ordinary differential equations and is intended for students in Science, Engineering, and Computer Science degree programs.
Students will solve first- and second-order linear differential equations using appropriate techniques; analyze problems from the natural and physical sciences using differential equations; use Laplace transforms to solve initial value problems and integral equations; solve systems of first-order linear differential equations; classify ordinary differential equations according to order and linearity, and identify appropriate techniques for solving each; apply numerical methods to approximate solutions to differential equations; apply qualitative techniques such as phase plane analysis to describe solutions; explore series solutions for differential equations.
Credits
3.0
Year of study
2nd Year Post-secondary
Prerequisites
MATH 1200 with a C- and MATH 1221 with a C- or equivalent.
Corequisites
None
Course Learning Outcomes
Upon successful completion of this course, students will be able to:
- Solve first order differential equations (linear, separable autonomous and exact).
- Set up and solve equations, or systems of equations, to solve application problems in the physical, biological and social sciences.
- Solve systems of linear equations.
- Solve second-order linear differential equations.
- Solve linear differential equations using power series techniques and explore series solutions near ordinary and singular points.
- Solve initial value problems and integral equations using the Laplace transform.
- Apply numerical methods to approximate solutions to first-order differential equations.
Prior Learning Assessment & Recognition (PLAR)
None
Hours
Lecture, Online, Seminar, Tutorial: 60
Total Hours: 60
Total Hours: 60
Instructional Strategies
The course consists of lectures, applied problem solving in the physical, biological and social
sciences, and a computer algebra system for numerical computations.
sciences, and a computer algebra system for numerical computations.
Grading System
Letter Grade (A-F)
Passing grade
D
Evaluation Plan
|
Type |
Percentage |
Assessment activity |
|
Assignments |
15 |
|
|
Midterm Exam |
25 |
|
|
Midterm Exam |
25 |
|
|
Final Exam |
35 |
|
Course topics
- 1) Classification of Differential Equations
- 2) First Order Differential Equations
- 3) Second Order Linear Equations
- 4) Systems of First Order Linear Equations
- 5) Nonlinear Differential Equations and Stability
- 6) Series Solutions of Second Order Linear Equations
- 7) The Laplace Transform
- 8) Numerical Methods
Notes:
- Course contents and descriptions, offerings and schedules are subject to change without notice.
- Students are required to follow all College policies including ones that govern their educational experience at VCC. Policies are available on the VCC website at:
https://www.vcc.ca/about/governance--policies/policies/. - To find out if there are existing transfer agreements for this course, visit the BC Transfer Guide at https://www.bctransferguide.ca.