# Technical Math

- Course Number:
- MTH 110
- Transcript Title:
- Technical Math
- Created:
- Aug 15, 2022
- Updated:
- Jul 12, 2023
- Total Credits:
- 4
- Lecture Hours:
- 40
- Lecture / Lab Hours:
- 0
- Lab Hours:
- 0
- Satisfies Cultural Literacy requirement:
- No
- Satisfies General Education requirement:
- No
- Grading Options
- A-F, P/NP, Audit
- Default Grading Options
- A-F
- Repeats available for credit:
- 0

## Course Description

Explores mathematics used in the study of technical and industrial systems including basic algebra, engineering notation, unit conversion and dimensional analysis, function notation, exponential and logarithmic functions, sinusoidal functions, and complex numbers in polar, rectangular, and phasor forms. Scientific calculator required. Recommended: concurrent enrollment in EET 111. Prerequisite: MTH 65 or equivalent placement. Audit available.

## Course Outcomes

Upon successful completion of this course, students will be able to:

- Accurately compute and manipulate quantities relevant to technical and industrial systems.
- Algebraically solve mathematical equations and formulas for quantities and variables of interest.
- Demonstrate understanding of mathematical functions arising in technical and industrial systems.
- Demonstrate understanding of complex numbers and their application to technical and industrial systems.
- Analyze and effectively communicate mathematical results.

## Suggested Outcome Assessment Strategies

The determination of assessment strategies is generally left to the discretion of the instructor. Here are some strategies that you might consider when designing your course: writings (journals, self-reflections, pre writing exercises, essays), quizzes, tests, midterm and final exams, group projects, presentations (in person, videos, etc), self-assessments, experimentations, lab reports, peer critiques, responses (to texts, podcasts, videos, films, etc), student generated questions, Escape Room, interviews, and/or portfolios.

## Course Activities and Design

The determination of teaching strategies used in the delivery of outcomes is generally left to the discretion of the instructor. Here are some strategies that you might consider when designing your course: lecture, small group/forum discussion, flipped classroom, dyads, oral presentation, role play, simulation scenarios, group projects, service learning projects, hands-on lab, peer review/workshops, cooperative learning (jigsaw, fishbowl), inquiry based instruction, differentiated instruction (learning centers), graphic organizers, etc.

## Course Content

#### Outcome 1: Accurately compute and manipulate quantities relevant to technical and industrial systems.

To address this outcome, the following shall be taught:

- Units, notation, and dimensional analysis
- SI and US customary units
- Significant figures
- Decimal system
- Engineering notation
- Dimensional analysis and unit conversion
- Measurement theory and measurement error

- Geometry and arithmetic of the real numbers

#### Outcome 2: Algebraically solve mathematical equations and formulas for quantities and variables of interest.

To address this outcome, the following shall be taught:

- Basic algebra
- Mathematical expressions and equations
- Equivalent expressions
- Solving algebraic equations
- Solving algebraic formulas for a variable
- Graphing algebraic equations

- Applications of basic algebra
- Ohm’s law and Kirchhoff’s current and voltage laws
- Linearity, superposition and other network theorems

- Microsoft Excel
- Graphical display of algebraic equations

#### Outcome 3: Demonstrate understanding of mathematical functions arising in technical and industrial systems.

To address this outcome, the following shall be taught:

- Exponential and logarithmic functions
- Function notation
- Exponential function: definition, evaluation, and graphical representation
- Logarithmic function: definition, evaluation, and graphical representation
- Relationship between exponential and logarithmic functions
- Applications to technical and industrial systems

- Sinusoids
- Periodic motion, sinusoidal waves
- Sine function: definition, evaluation, and graphical representation
- Unit circle approach to sine function
- Frequency spectrum
- Phase relationships, average values, rms values
- Applications to technical and industrial systems

- Microsoft Excel
- Data analysis
- Graphical display of data and functions

#### Outcome 4: Demonstrate understanding of complex numbers and their application to technical and industrial systems.

To address this outcome, the following shall be taught:

- Complex numbers
- Rectangular form
- Polar form
- Arithmetic of complex numbers
- Complex plane and geometry of complex arithmetic
- Phasors (phase vectors)
- Applications to technical and industrial systems

#### Outcome 5: Analyze and effectively communicate mathematical results.

To address this outcome, the following shall be taught:

- Previous content with emphasis on

- Critical analyses of mathematical methods and results
- Correct mathematical notation
- Appropriate forms and notation for communication in technical and industrial systems

## Suggested Texts and Materials

- Blitzer, R. (2004). Intermediate Algebra for College Students 5th Edition, Pearson Prentice Hall.
- Gardner, D. (2014). Applied Algebra I, 3rd Edition. OER. Retrievable from: https://go.roguecc.edu/sites/go.roguecc.edu/files/users/DGardner/pdf/MTH%2063%20Book%203rd%20Edition%20CC%20License.pdf
- CC License: https://creativecommons.org/licenses/by-nc-sa/4.0/

- Gardner, D. (2016). Applied Algebra 2, 2rd Edition. OER. Retrievable from: https://go.roguecc.edu/sites/go.roguecc.edu/files/users/DGardner/pdf/MTH%2096%20Book%202nd%20Edition%20CC%20License.pdf
- CC License: https://creativecommons.org/licenses/by-nc-sa/4.0/

- Lane ORCCA (2019-2020): Open Resources for Community College Algebra. Retrievable from: https://math.oer.lanecc.edu/orcca/orcca.html
- Lippman, D. and Rasmussen, M. (2015). Precalculus: An Investigation of Functions, Edition 2.0. OER. Retrievable from: http://www.opentextbookstore.com/precalc/

## Department Notes

Word problems are to be answered using complete sentences and include appropriate units.