ENG 27 Mathematical methods for engineers

Catalog copy
ENG 27 Mathematical methods for engineers.  This course provides the
 mathematical background for several engineering courses. The content
 includes linear algebra, ordinary differential equations, and Laplace
 Transform methods.  Concurrent enrollment in course 27L is required.
 Prerequisite(s): Mathematics 22 or 23A or 11C.
ENG 27L. Mathematical Methods for Engineers Laboratory (1 credits)
 Elementary programming in Matlab. Graphical tools for visualizing
 solutions and solving equations numerically with Matlab software.
 Concurrent enrollment in course 27 is required.
 Prerequisite(s): Mathematics 22 or 23A or 11C.



Explanation of prerequisites
ENG 27 assumes a basic knowledge of calculus and pre-calculus.

Required Skills to pass the course
1. Knowledge of the rules of matrix algebra
2. Ability to solve simple problems in linear algebra
3. Ability to solve simple ordinary differential equations
4. Familiarity with more advanced methods, such as the Laplace Transform.
5. Ability to use MATLAB at an elemntary level (ENG27L)
6. Solve mathematical problems set from the content of ENG 27 using MATLAB (ENG27L)

Core topics (must be taught)
1. Matrix algebra
2. Determinants, eigenvalues and eigenvectors
3. Solution of algebraic linear systems
4. First-order differential equations
5. Linear, second-order differential equations
6. Systems of ordinary differential equations
7. Laplace transform solution of ordinary differential equations

Text
Kreiszig, "Advanced engineering mathematics", Wiley.

Prepared by Neil Balmforth, 9/02