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Math 81

TECHNICAL MATHEMATICS I (3:3:0) Algebraic expressions, equations,
systems of equations, trigonometric functions, graphs, solution of
triangles, vectors.

Prerequisite: Math 4 or satisfactory performance on the mathematics
proficiency examination.

Text: Basic Technical Mathematics w/Calculus. Fifth Edition.

Chapter   Section  Topics
1         1,2,3    Numbers, Laws of Alg, Order of Operations,
Ops w/Zero
4,5,6    The Calculator, Exponents, Scientific Notation
8      Addition and Subtraction of Algebraic Expressions
9      Multiplication of Algebraic Expression
10      Division of Algebraic Expressions
11      Equations
12      Formulas and Literal Equations
13      Applied Verbal Problems

2         1,2      Functions
3,4      Rectangular Coordinates,Graph of a Function
5,6      Functions Defined by Tables of Data, Solving
Equations Graphically

3         1,2      Angles, Defining the Trigonometric Functions
3       Values of the Trigonometric Functions
4       The Right Triangle
5       Applications of Right Triangles

EXAMINATION I

4          1       Linear Equations
2,3      Graphs of Linear Eqns, Solving Systems Graphically
4       Solving Systems of Two Linear Equation in Two
Unknowns Algebraically
Using a Calculator to Solve Linear Systems of
Equations

5          1       Special Products
2       Common Factors and Difference of Squares
3       Factoring Trinomials
4       Equivalent Fractions
5       Multiplications and Division of Fractions
6       Addition and Subraction of Fractions
7       Equations Involving Fractions

EXAMINATION II

6          1       Quadratic Eqautions; Solution by Factoring
2       Completing the Square

7          1       Signs of the Trigonometric Functions
2       Trigonometric Functions of Any Angle

8         1,2      Introduction to Vectors; Components
4       Applications of Vectors
5       Oblique Triangles
5       Law of Sines
6       Law of Cosines

9        1,2,3     Graphs of Trigonometric Functions
4       Applications of the Trigonometric Graphs
5       Composite Trigonometric Curves

REVIEW

FINAL EXAMINATION

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