Jump to navigation

The University of Arizona Wordmark Line Logo White
College of Engineering
Home
  • Home
  • Give Today
  • Contact Us

Search form

  • About
    • Welcome
    • Advisory Board
    • Contact Us
  • Undergrad Programs
    • Admissions
    • Degrees
    • Courses
    • Advising
    • Scholarships & Financial Aid
    • Research & Internships
    • Student Clubs & Organizations
    • ABET Accreditation
  • Grad Programs
    • Admissions
    • On-Campus Degrees
    • Online Degrees
    • Courses
    • Advising
    • Research Focus Areas
    • Funding
  • Research
    • Focus Areas
    • Centers
    • Inventions
  • Faculty & Staff
    • Faculty Directory
    • Staff Directory
    • Faculty Videos
    • Employee Resources
    • Open Positions
  • Alumni
    • Give Today
  • News & Events
    • ECE News Archive
    • Events
Undergraduate Programs
Home / Undergraduate Programs / Courses / Applications of Engineering Mathematics

ECE 310

Applications of Engineering Mathematics

Fall
Spring
Required Course:
Yes

Course Level

Undergraduate

Units

3

Prerequisite(s)

MATH 254, ECE 207 or 220, and ECE 275

Course Texts

Kreyszig, Erwin. Advanced Engineering Mathematics. 10th ed. John Wiley & Sons, 2011.

Schedule

150 minutes lecture, 50 minutes laboratory per week

Course Description

This course is approximately one-half linear algebra and one-half probability and statistics. Linear algebra topics include matrix operations, systems of linear equations, determinants, Gauss-Jordan elimination, vector spaces, basis and dimension, projections, determinants, eigenvalues and eigenvectors. Probability and statistics topics include probability, random variables, density and distribution functions, sample mean and variance, estimation and confidence intervals. An introduction to Matlab and Matlab projects.

Learning Outcomes

By the end of this course, students will be able to:

  1. Perform matrix algebra
  2. Understand rank, basis, linear transformations, vector spaces, eigenvalues
  3. Solve systems of linear equations
  4. Describe basic principles of probability theory
  5. Understand random variables, probability distributions, means and variances

Course Topics

Linear Algebra (24 lectures)
Matrix and vector algebra, linear systems of equations, Gauss elimination, linear independence, rank of a matrix, vector space, solutions of linear systems (existence/uniqueness), determinants, Cramer’s rule, inverse of a matrix, Gauss-Jordan elimination, vector spaces, inner product spaces, linear transformations, eigenvalues, eigenvectors, symmetric/skew-symmetric/orthogonal matrices, complex matrices

Probability (21 lectures)
Experiments, outcomes, events, probability, permutations and combinations, random variables, probability distributions, mean and variance of a distribution, binomial/poisson/hypergeometric distributions, normal distribution, distributions of several random variables

Matlab (13 lectures)
Command window, basic Matlab syntax, executing expressions, Matlab editor, debugging in Matlab, Matlab Help, creatiion of vectors and matrices, dot operations, matrix operations (addition/subtraction/multiplication), determinants, matrix inverse, solution of a system of linear equations, control of program flow (If and Switch statements), For and While loops, 2-D plotting commands, graph annotation and enhancement (labels, mathematical symbols, attributes of axes, curves and legends), descriptive statistics, probability distributions

Relationship to Student Outcomes

ECE 310 contributes directly to the following specific electrical and computer engineering student outcomes of the ECE department:

  • Ability to apply knowledge of mathematics, science and engineering
  • Ability to identify, formulate and solve engineering problems
  • Ability to use the techniques, skills and modern engineering tools necessary for engineering practice

Syllabus Prepared By

Ali Bilgin, Siyang Cao; 03/10/16
Contact Us
Contact Us
Loading...
  • UNDERGRAD PROGRAMS
  • Admissions
  • Degrees
  • Courses
  • Advising
  • Scholarships & Financial Aid
  • Research & Internships
  • Student Clubs & Organizations
  • ABET Accreditation
undergradadvisor@ece.arizona.edu
  • Cadence University Program Member
  • Employee Resources
The University of Arizona
Department of Electrical & Computer Engineering
1230 E. Speedway Blvd.
P.O. Box 210104
Tucson, AZ 85721-0104
520.621.6193

Facebook LinkedIn


University Privacy Statement

© 2021 The Arizona Board of Regents on behalf of The University of Arizona.