Course Overview
The course extends the introduction of numerical methods in MATH 3499 to more advanced algorithms and an analysis of error, convergence and stability. Topics covered include the numerical solution of initial- and boundary-value problems involving ordinary differential equations; an introduction to partial derivatives; the numerical solution of partial differential equations of engineering interest; matrix decomposition methods and numerical methods for linear algebra.
Prerequisite(s)
- 50% in MECH 7171
Credits
3.0
- Not offered this term
- This course is not offered this term. Notify me to receive email notifications when the course opens for registration next term.
Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Use numerical methods to solve ordinary differential equations. [1]
- Calculate error bounds, analyze stability, and limit error in the numerical solution. [1]
- Convert between differential and difference equations using numerical/matrix methods. [1]
- Calculate partial derivatives of any order. [1]
- Classify and solve partial differential equations using appropriate methods. [1]
- Determine/analyze stability conditions of a discretization scheme using implicit FDM. [1]
- Use numerical methods to solve large systems of simultaneous linear equations. [1]
- Perform LU-decomposition of matrices and use the results to obtain matrix inverses. [1]
Effective as of Fall 2018
Related Programs
Numerical Methods (MATH 7295) is offered as a part of the following programs:
- Indicates programs accepting international students.
- Indicates programs eligible for students to apply for Post-graduation Work Permit (PGWP).
School of Energy
- Mechanical Engineering
Bachelor of Engineering Full-time
Programs and courses are subject to change without notice. Find out more about BCIT course cancellations.