Catalog Course Search Details

 Department:    ENGR

 Course #:    119

 Credits:    2

 Variable:     No

 IUs:    2

 CIP:    14.0101

 EPC:    n/a

 REV:    2024

 Course Description  

Additional exposure to various mathematical concepts (e.g., differentiation; integration; vector calculus; etc.) and how they apply within an engineering context. Intended as an additional pathway through the upper-division engineering curriculum for students that do not quite meet certain course prerequisites.

 Prerequisite  

Prerequisite: MATH& 151 with a grade of C or higher (or concurrent enrollment).

Contact Hours (based on 11 week quarter)

Lecture: 22

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Elective  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Describe what the derivative represents graphically and contextualize its use in engineering applications.
2. Calculate the derivative of several types of functions (e.g., polynomial, rational, etc.) using various differentiation rules (e.g., power, chain, product, etc.).
3. Calculate the derivative of several types of functions (e.g., polynomial, rational, etc.) numerically.
4. Describe what the integral represents graphically as well as its relationship to the derivative and contextualize its use in engineering applications.
5. Evaluate the integrals of several types of functions (e.g., polynomial, rational, etc.) using various techniques (e.g., substitution, integration by parts, tables, etc.).
6. Evaluate the integrals of several types of functions (e.g., polynomial, rational, etc.) numerically.
7. Describe what physical quantities scalars (e.g., masses) and vectors (e.g., positions, forces, etc.) can be used to model.
8. Demonstrate how scalars and vectors can be combined using vector operations.
9. Describe what the vector inner (dot) and cross product represent geometrically and calculate them in an engineering context.

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

Course Contents

1. Review of functions, slope of a line, limiting processes, slope of a curve, numerical demonstration
2. Physical Context A: Position vs. time data; velocity; acceleration
3. Derivatives of polynomials, rational functions, exponential functions, etc.; rules of differentiation (e.g., power, chain, product, etc.); numerical demonstrations
4. Relationship between derivatives and integrals, area under a curve, numerical demonstration
5. Physical Context B: Acceleration vs. time data; velocity; position
6. Integrals of polynomials, rational functions, exponential functions, etc.; rules of integration (e.g., substitution, integration by parts, tables, etc.); numerical demonstrations
7. Scalars, vectors, matrices, and mathematical operations (e.g., addition, subtraction, multiplication, inner (dot) product, cross product, etc.)
8. Physical Context C: Position vs. time data; velocity; acceleration; forces