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COURSE SYLLABUS

1.

TITLE OF COURSE:

Technical Mathematics 

 

PREFIX/NUMBER:

MAT 108

CREDIT HOURS:

4

2.

PREREQUISITE:

Successful completion of MAT 090 with a C or better or math assessment

 

3.

RESOURCES NEEDED:

 

 

TEXT:

Introduction to Technical Mathematics, 5/e, Washington, Triola, and Reda

 

SUPPLIES:

Paper, pencil, and a scientific calculator.

4.

COURSE DESCRIPTION:

Covers material designed for career technical students or general studies students who need to study particular mathematical topics. Topics may include calculator usage, algebra, geometry, trigonometry, graphs, finance logarithms and statistics. These are presented on an introductory level and the emphasis is on applications. The specific topics covered are selected to meet the needs of the student enrolled in the course.

 

5.

STANDARD COMPETENCIES:

 

a.

Demonstrate knowledge and use of basic operations on a hand held calculator.

 

b.

Demonstrate knowledge and use of higher level operations on a hand held calculator.

 

c.

Demonstrate knowledge and use of ratios and proportions.

 

d.

Demonstrate knowledge and use of percents.

 

e.

Demonstrate knowledge and use of units of measure.

 

f.

Demonstrate knowledge and use of signed numbers.

 

g.

Demonstrate knowledge and use of powers of ten and scientific notation.

 

h.

Demonstrate knowledge and use of algebraic operations.

 

i.

Demonstrate knowledge and use of elementary algebraic equations and formulas.

 

j.

Demonstrate knowledge and use of higher level algebraic equations and formulas.

 

k.

Demonstrate knowledge and use of systems of equations.

 

l.

Demonstrate knowledge and use of  angles.

 

m.

Demonstrate knowledge and use of triangles.

 

n.

Demonstrate knowledge and use of circles and polygons.

 

o.

Demonstrate knowledge and use of geometric solids.

 

p.

Demonstrate knowledge and use of right triangle trigonometry.

 

q.

Demonstrate knowledge and use of general trigonometry.

 

r.

Demonstrate knowledge and use of the Law of Sines and the Law of Cosines.

 

s.

Demonstrate knowledge and use of vectors.

 

t.

Demonstrate knowledge and use of finance.

 

u.

Demonstrate knowledge and use of graphs.

 

v.

Demonstrate knowledge and use of logarithms.

 

6.

COURSE OUTLINE

 

1.0 Signed Numbers

 

 

1.1 Signed Numbers

 

 

1.2 Addition and Subtraction of Signed Numbers

 

 

1.3 Multiplication and Division of Signed Numbers
1.4 Powers and Roots
1.5 Order of Operation
1.6 Scientific Notation
1.7 Problem Solving Strategies

 

2.0 Units of Measurements and Approximate Numbers

 

 

2.1 Working with Units of Measurement

 

 

2.2 Units of Measurement: The Metric System

 

 

2.3 Reduction and Conversion of Units
2.4 Approximate Numbers and Significant Digits

 

3.0 Introduction to Algebra

 

 

3.1 Working with Formulas

 

 

3.2 Basic Algebraic Expressions
3.3 Addition and Subtraction of Algebraic Expressions
3.4 Multiplication of Algebraic Expressions
3.5 Division of Algebraic Expressions

 

4.0 Simple Equations and Inequalities

 

 

4.1 Solving a Simple Equation

 

 

4.2 Simple Formulas and Literal Equations
4.3 Simple Inequalities
4.4 Problem-Solving Strategies and Word Problems
4.5 Ratio, Proportion, and Variation

 

5.0 Graphs

 

 

5.1 Functions and Function Notation

 

 

5.2 The Rectangular Coordinate System

 

 

5.3 The Graph of a Function

 

 

5.4 Graphs of a Linear Function
5.5 Graphs of Other Functions
5.6 Graphical Solutions
5.7 Graphing Inequalities

 

6.0 Introduction to Geometry

 

 

6.1 Basic Geometric Figures

 

 

6.2 Perimeter

 

 

6.3 Area

 

 

6.4 Volume

 

7.0 Simultaneous Linear Equations

 

 

7.1 Graphical Solution of Two Simultaneous Equations

 

 

7.2 Substitution Method

 

 

7.3 Addition-Subtraction Method for Solving Simultaneous Equations
7.4 Determinants in Two Equations
7.5 Problem Solving Using Systems of Linear Equations

 

8.0 Factoring

 

 

8.1 The Distributive Property and Common Factors
8.2 Factoring Trinomials
8.3 Factoring General Trinomials
8.4 The Difference Between Two Squares
8.5 The Sum and Difference of Cubes

 

9.0 Algebraic Fractions

 

 

9.1 Equivalent Algebraic Fractions

 

 

9.2 Multiplication and Division of Algebraic Fractions

 

 

9.3 The Lowest Common Denominator
9.4 Addition and Subtraction of Algebraic Fractions
9.5 Solving Fractional Equations

 

10.0 Exponents, Roots, and Radicals

 

 

10.1 Integral Exponents
10.2 Fractional Exponents
10.3 Imaginary Roots
10.4 Simplifying Radicals
10.5 Operations with Radicals
10.6 Working with Radical Equations

 

11.0 Quadratic Equations

 

 

11.1 The Quadratic Equation
11.2 Solving Quadratic Equations by Factoring
11.3 Completing the Square
11.4 Solving Quadratic Equations Using the Quadratic Formula
11.5 Graphing the Quadratic Function

 

12.0 Exponential and Logarithmic Functions

 

 

12.1 Exponential Functions
12.2 Logarithms
12.3 Properties of Logarithms
12.4 Natural Logarithms
12.5 Exponential and Logarithm Equations

 

13.0 Geometry and Right Triangle Trigonometry

 

 

13.1 Angles and Their Measure
13.2 Other Geometric Figures
13.3 Right Triangles and the Pythagorean Theorem
13.4 Similar Triangles
13.5 The Trigonometric Ratios
13.6 Values of the Trigonometric Ratios
13.7 Right Triangle Applications

 

14.0 Oblique Triangles and Vectors

 

 

14.1 Trigonometric Functions of Any Angle
14.2 The Law of Sines
14.3 The Law of Cosines
14.4 Introduction to Vectors
14.5 Vector Components
14.6 Vector Addition

7.

EVALUATION PROCEDURES: