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Spring 2019

Mathematics Courses:

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MAT121 - Technical Math 1

Credits: 3

Catalog Description: Reviews basic algebraic operations and solutions of linear equations. Emphasizes applications of linear equations, graphing techniques, units of measurement conversions, exponents and radicals, functions, trigonometric functions, and vectors. Not open for credit to students who have credit in MAT 140 or higher. Prerequisite: MAT092 or higher or by placement.

Lecture: 3 hrs.

Course Learning Outcomes (CLOs):
Upon successful completion of this course, the student will be able to:
1.Simplify and evaluate algebraic expressions to solve algebraic equations.
2.Express results with the proper degree of accuracy and precision.
3.Evaluate and simplify radical expressions using both radical notation and rational exponents.
4.Use unit analysis to do unit conversions.
5.Identify if a relation is a function, and graph functions by hand and/or using a graphing calculator.
6.Convert logarithmic equations to exponential equations and exponential equations to logarithmic equations.
7.Evaluate logarithmic and exponential expressions and solve simple equations.
8.Express angles in both radians and degrees.
9.Evaluate trigonometric ratios using both reference triangles and a calculator.
10.Add vectors using the component method. *

* This course objective has been identified as a student learning outcome that must be formally assessed as part of the Comprehensive Assessment Plan of the college. All faculty teaching this course must collect the required data and submit the required analysis and documentation at the conclusion of the semester to the Office of Institutional Research and Assessment.

Content Outline:
I. Basic Algebraic Operations
A. Numbers
B. Fundamental Operations of Algebra
C. Calculators and Approximate Numbers
D. Exponents
E. Scientific Notation
F. Roots, Radicals, and Rational Exponents
G. Addition and Subtraction of Algebraic Expressions
H. Multiplication of Algebraic Expressions
I. Division (by a monomial) of Algebraic Expressions
J. Solving Equations
K. Formulas and Literal Equations
L. Applied Problems
M. SI and US Customary Units and Conversion of Units

II. Functions and Graphs
A. Introduction to Functions
B. Rectangular Coordinates
C.Linear functions
1. Slope-intercept form
2. Parallel and perpendicular lines
D. Exponential and Logarithmic Functions
1. Conversion between both forms
2. Calculate Values
E. Graphs of Functions

III. The Trigonometric Functions
A. Angles
B. Defining the Trigonometric Functions
C. Values of the Trigonometric Functions
D. The Right Triangle
E. Applications of Right Triangles

IV. Trigonometric Functions of Any Angle
A.Signs of the Trigonometric Functions
B. Trigonometric Functions of any Angle
C. Radians
D. Applications of Radian Measure

V. Vectors and Oblique Triangles
A. Introduction to Vectors
B. Components of vectors
C. Vector Addition by Components

Effective Term: Fall 2018