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