Engineering Numerical Methods

Course Description

This course introduces the mathematical fundamentals and numerical methods for engineering practice. Emphasis is placed on mathematical modeling using differential equations and associated numerical methods for solutions. The topics include complex numbers, differential equations, systems of linear differential equations, Laplace transform and their applications in engineering. MATLAB is introduced as a tool for solving mathematical problems that require numerical solutions.

Learning Outcomes

• Understand and manipulate complex numbers.
• Model practical engineering systems using first and second order differential equations.
• Determine the solutions of linear differential equations both analytically and numerically.
• Apply Laplace transforms and their inverses to solve differential equations.
• Solve systems of linear differential equations using matrix techniques and eigenvalues.
• Use the MATLAB environment to implement numerical method algorithms.

Requirements

Students are expected to study the lecture notes and textbook, participate in all class activities, complete exams as scheduled, and turn in all assignments as scheduled. Failure to do so may result in the loss of points or the lowering of one’s grade.

Prerequisites

• CSC209
• CSC310