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.
Allyn J. Washington, Addison-Wesley, 1990.
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
7 Roots and Radicals
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
3 Quadratic Formula; Graphing Quadratic Functions
7 1 Signs of the Trigonometric Functions
2 Trigonometric Functions of Any Angle
3,4 Radians; Applications of Radian Measure
8 1,2 Introduction to Vectors; Components
3 Vector Addition
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