# MAT-193 Objectives

## MAT193: Topics in Algebra and Trigonometry

### Course Description

This course provides an intensive one-semester survey of topics in algebra and trigonometry. Topics include powers of ten, formulas, graphs, simultaneous equations, logarithms, right triangle trigonometry, vectors, sine waves, and complex numbers. Topics are illustrated by applications from electronics and other fields. Use of scientific calculator is required. Prerequisite: Placement or grade of C or better in Fundamentals of Algebra (MAT097).

### Learning outcomes

1. manipulate roots, radicals, integer/rational exponents
2. work with quantities involving scientific notation
3. work with polynomials and factoring
4. simplify rational expressions
5. solve equations that are linear in form, radical equations, and inequalities
6. solve word problems involving linear equations
7. set up and solve equations that involve variations
8. graph equations using the Cartesian coordinate system
9. make use of functions/domain and explain these concepts
10. graph, solve and apply exponential functions and logarithmic functions
11. calculate using logarithmic properties
12. convert between degree and radian measure
13. calculate and apply trigonometric functions of acute angles
14. apply the above methods to a variety of physical, life science, and pharmacological problems

### Instructional Objectives

1. Basic Algebraic Operations
2. Geometry
3. Functions and Graphs
4. The Trigonometric Functions
5. System of Linear Equations
6. Trigonometric Functions of Any Angle
7. Vectors and Oblique Triangles
8. Complex Numbers
9. Exponential and Logarithmic Functions