Feb 06, 2023
2020-2021 Course Catalog
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# MATH 1015 - Applied Mathematics

Credits: 5
Hours/Week: Lecture None Lab None
Course Description: This course integrates algebraic, geometric and trigonometric topics and their technical application. These topics include scientific and engineering notation, precision and accuracy, linear and non-linear equations, systems of equations, functions, plane figure and solid figure geometry, trigonometric functions, right triangle trigonometry, vectors, exponential and logarithmic functions, and statistics. The primary purpose is to help prepare students for technical and scientific careers. A graphing calculator is required. Instruction will be provided in the use of the TI-83/TI-84 calculator. Offered S.
MnTC Goals
None

Prerequisite(s): MATH 0030  with a grade of C or higher, or placement into MATH 1015.
Corequisite(s): None
Recommendation: Eligible for college-level Reading and English.

Major Content
1. Algebraic operations
2. Functions and graphing
3. Metric and customary measurement systems
4. Plane and solid geometry
5. Polynomial modeling
6. Right triangle trigonometry
7. Solving linear and non-linear equations
8. Statistics
9. Systems of equations
10. Trigonometric functions
11. Variation
12. Vectors

Learning Outcomes
At the end of this course students will be able to:

1. Simplify polynomial, rational, exponential, trigonometric, and logarithmic expressions symbolically.
2. Solve systems of linear equations symbolically and graphically.
3. Demonstrate critical and logical reasoning when solving problems.
4. Solve polynomial, rational, exponential, trigonometric, and logarithmic equations symbolically.
5. Solve geometric applications involving surface area and volumes of geometric solids.
6. Write the equation of a line in its different forms.
7. Evaluate functions.
8. Solve geometric applications involving parallel lines, similar shapes, areas and volumes of polygons, and circles.
9. Determine the domain and range of functions symbolically and graphically.
10. Graph linear, quadratic, exponential, and logarithmic functions by hand and with technology.
11. Determine the sum, difference, product, quotient, composition, and inverse of functions.
12. Model and solve applied problems using linear, rational, quadratic, trigonometric, exponential, and logarithmic equations.
13. Apply the Laws of Sines and Cosines to solve triangles and in applications.
14. Communicate clearly a problems solution and its explanation for the intended audience in terms of the problem posed.
15. Convert between degree measure and radian angle measure.
16. Define trigonometric functions in terms of right triangles and the rectangular coordinate system.
17. Determine the period, amplitude, and translation of sine and cosine functions symbolically.
18. Evaluate trigonometric functions of angles whose reference angle is a special angle by hand.
19. Evaluate trigonometric functions of angles with technology.
20. Find the area of a triangle using trigonometric formulas.
21. Graph sine, cosine, and tangent functions and their transformations by hand and with technology.
22. Model and solve applied problems using the techniques of trigonometry.
23. Solve right triangles.
24. Solve trigonometric equations symbolically in degrees and radians.

Competency 1 (1-6)
None
Competency 2 (7-10)
None