MAT 148 - Applied Technical Mathematics I
This first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include: operations in the real number system, expressions and functions, first-degree equations, properties of lines, systems of linear equations, trigonometric functions, geometry (perimeters, areas, volumes of common figures), polynomials, exponents, algebraic products and factoring, algebraic fractions and operations, rational expressions, radical expressions, quadratic equations, and graphs of functions.
Prerequisite: MAT 096 Elementary Algebra and Trigonometry or equivalent
4 Class Hours
Learning Outcomes of the Course:
Overall Goals of the Course:
1. To provide an integrated treatment of mathematics topics essential for a sound technical mathematics background.
2. To teach the transfer of mathematical concepts and skills to applications in telecommunications.
3. To increase analytical and computational skills, including use of a graphing calculator and the laptop computer.
4. To develop a systematic approach to problem solving.
5. To increase reading comprehensive in mathematics.
6. To provide sufficient skills so that the student will be able to effectively deal with mathematical requirements in other allied courses requiring a technical mathematics background.
7. To function as teams to learn team building skills while solving problems.
Student Performance/Behavioral Objectives:
Upon successful completion of this course the student will be able to:
1. Demonstrate understanding of real, rational, and irrational numbers.
2. Demonstrate an understanding of operations with signed numbers.
3. Demonstrate the use of the laws of exponents.
4. Demonstrate the understanding of Order of Operations.
5. Demonstrate the fundamental algebraic operations and terminology of algebraic expressions.
6. Evaluate literal expressions.
7. Solve first-degree equations with one unknown.
8. Analyze and solve direct and inverse proportions.
9. Analyze and solve word problems involving the use of linear and rational equations and functions.
10. Graph and interpret functions.
11. Demonstrate multiplication of algebraic expressions using special products, long multiplication, and the FOIL method.
12. Demonstrate long division of polynomials.
13. Use various methods to factor algebraic expressions.
14. Demonstrate various operations with algebraic fractions.
15. Solve fractional equations.
16. Change a number to scientific notation and vice versa.
17. Solve quadratic equations by factoring and by the quadratic formula.
18. Solve incomplete quadratic equations.
19. Use the Cartesian coordinate system to graph and interpret equations of two variables.
20. Demonstrate knowledge of the slope-intercept form.
21. Demonstrate knowledge of the point-slope form.
22. Solve systems of linear equations by graphing, addition method, substitution method, and by determinants.
23. Identify geometric shapes and formulas (perimeter, area, volume) and use in applications.
24. Define and evaluate trigonometric functions from 0 degrees to 90 degrees and their inverses.
25. Analyze and solve right triangles.
26. Demonstrate the use of basic metric units and dimensional analysis.
1. Convert decimal degrees to degree-minute-second to radians and reverse.
2. Evaluate trigonometric functions and inverse trigonometric functions.
3. Evaluate powers and roots.
4. Use scientific notation and engineering notation.
5. Evaluate real functions using the graphing calculator.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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