MAT 149 - Applied Technical Mathematics-IS
This is the second course in a two semester sequence of intermediate algebra and trigonometry with technical applications. Topics include operations with exponents and radicals, exponential and logarithmic functions and equations, trig functions of any angle, radians, sinusoidal functions and graphing, vectors, complex numbers and their applications, oblique triangles, inequalities, introduction to statistics and an intuitive approach to calculus. The graphing calculator, a laptop computer, and umbrella competencies will be integrated throughout the course.
Prerequisite: MAT 148 Applied Technical Mathematics I or equivalent
4 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
1. Simplify algebraic radicals.
2. Convert fractional exponents to radicals and the reverse.
3. Demonstrate fundamental operations in radicals.
4. Solve equations with radicals.
5. Convert degrees to radians and the reverse.
6. Evaluate trigonometric functions and their inverses for angles measured in degrees and radians.
7. Solve oblique triangles using the law of sines and/or law of cosines.
8. Graphically add vectors.
9. Solve vector problems by trigonometry using rectangular and polar forms.
10. Sketch and interpret the graphs of sinusoidal, exponential, and logarithmic functions and inequalities.
11. Perform fundamental operations on algebraic terms involving exponents and radicals.
12. Covert complex numbers in various forms: rectangular, polar, exponential.
13. Perform the fundamental operations (addition, subtraction, multiplication, division) using the rectangular form of complex numbers.
14. Perform multiplication and division of complex numbers in polar and exponential form.
15. Using DeMoivre's Theorem raise complex numbers to powers and roots.
16. Demonstrate the use of common logarithms and natural logarithms.
17. Solve exponential and logarithmic equations.
18. Graph exponential functions using log-log and semi-log paper.
19. Summarize and interpret data using frequency distribution, measures of central tendency, and measures of dispersion.
20. Given a set of data, find the line of best fit.
21. Apply process control and quality assurance.
22. Develop an intuitive feel for the concepts of limits, derivative (instantaneous rate of change), integral (area under a curve).
Overall Goals of the Course:
1. To provide an integrated treatment of mathematics topics which are essential for a solid mathematical background for the telecommunication technician.
2. To demonstrate the transfer of mathematical concepts and skills to applications within telecommunications.
3. To increase computational and graphing skills using the graphing calculator and the computer.
4. To develop a systematic approach to problem solving.
5. To provide sufficient mathematical skills so a student will be able to successfully deal with mathematical requirements of allied courses.
6. To increase awareness and use of the umbrella competencies, particularly team building skills while solving problems.
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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