ENGR 250 Applied Numerical Methods in Engineering (5 credits)
Distribution Area Fulfilled General Transfer Elective
Prerequisite MATH& 163 with at least a 1.5 grade
Course Description
Numerical solutions to problems in engineering and science using modern scientific computing tools. Application of mathematical judgment in selecting computational algorithms and communicating results. Introduction to MATLAB programming for numerical computation.
Course Content
A. Construct and manipulate vectors and matrices in Matlab
B. Solve linear systems in a variety of different contexts
C. Interpolate and analyze data
D. Solve nonlinear problems and optimization challenges
E. Compute numerical derivatives and integrals
F. Solve differential equations
G. Identify and discuss key features of nonlinear differential equations
H. Understand and use modern scientific computing tools
Student Outcomes
1. Write and document effective Matlab scripts involving logical and iterative flow control and file input and output.
2. Utilize the vector/matrix paradigm underlying Matlab to write efficient commands to manipulate data and implement numerical solution algorithms.
3. Produce effective plots of numerical data using Matlab’s various data visualization functions.
4. Explain the consequences of finite precision and the inherent limits of the numerical methods considered.
5. Select appropriate numerical methods to apply to various types of problems in engineering and science in consideration of the mathematical operations involved, accuracy requirements, and available computational resources.
6. Demonstrate understanding of the mathematics concepts underlying the numerical methods considered.
7. Demonstrate understanding and implementation of numerical solution algorithms applied to various mathematical problems including: finding roots of equations, solving systems of algebraic equations, curve fitting, interpolation, numerical differentiation of data and functions, and solutions of ordinary differential equations.
Degree Outcomes
Critical, Creative, and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.
Lecture Contact Hours 50
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 50
Add to Portfolio (opens a new window)
|
