ENGR 119 - Engineering Mathematics Preparation
Credits: 2
Variable Credit Course: No
Lecture Hours: 22
Lab Hours: 0
Worksite/Clinical Hours: 0
Other Hours (LIA/Internships): 0
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: MATH& 151 with a grade of C or higher (or concurrent enrollment).
Meets FQE Requirement: No
Integrative Experience Requirement: No
Student Learning Outcomes
- Describe what the derivative represents graphically and contextualize its use in engineering applications.
- Calculate the derivative of several types of functions (e.g., polynomial, rational, etc.) using various differentiation rules (e.g., power, chain, product, etc.).
- Calculate the derivative of several types of functions (e.g., polynomial, rational, etc.) numerically.
- Describe what the integral represents graphically as well as its relationship to the derivative and contextualize its use in engineering applications.
- Evaluate the integrals of several types of functions (e.g., polynomial, rational, etc.) using various techniques (e.g., substitution, integration by parts, tables, etc.).
- Evaluate the integrals of several types of functions (e.g., polynomial, rational, etc.) numerically.
- Describe what physical quantities scalars (e.g., masses) and vectors (e.g., positions, forces, etc.) can be used to model.
- Demonstrate how scalars and vectors can be combined using vector operations.
- Describe what the vector inner (dot) and cross product represent geometrically and calculate them in an engineering context.
Course Contents
- Review of functions, slope of a line, limiting processes, slope of a curve, numerical demonstration.
- Physical Context A: Position vs. time data; velocity; acceleration.
- Derivatives of polynomials, rational functions, exponential functions, etc.; rules of differentiation (e.g., power, chain, product, etc.); numerical demonstrations.
- Relationship between derivatives and integrals, area under a curve, numerical demonstration.
- Physical Context B: Acceleration vs. time data; velocity; position.
- Integrals of polynomials, rational functions, exponential functions, etc.; rules of integration (e.g., substitution, integration by parts, tables, etc.); numerical demonstrations.
- Scalars, vectors, matrices, and mathematical operations (e.g., addition, subtraction, multiplication, inner (dot) product, cross product, etc.).
- Physical Context C: Position vs. time data; velocity; acceleration; forces.
Instructional Units: 2
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