Math 82 TECHNICAL MATHEMATICS II(3:3:0) Exponents, radicals, complex numbers, theory of equations, inequalities, half angle and double angle formulas, inverse trigonometric functions, exponential, logarithm, conic sections. Prerequisite: Math 81. Text: Basic Technical Mathematics w/Calculus. Fifth Edition. Allyn J. Washington, Addison-Wesley, 1990. Chapter Sections Topics 10 1 Integral Exponents 2 Fractions Exponents 3 Simplest Radical Form 4 Addition and Subtraction of Radicals 5 Division of Radicals 11 1,2 Complex Numbers: Basic Operations 3 Graphical Representation of Complex Numbers 4 Polar Form of a Complex Number 5 Exponential Form of a Complex Number 6 Products, Quotients, Powers, Roots of Complex Numbers 7 An Application to Alternating-Current Circuits 13 1 Graphical Solution of Systems of Equations 2 Algebraic Solutions of Systems of Equations 3 Equations in Quadratic Form 4 Equations with Radicals EXAMINATION I 14 1 The Remainder and Factor Theorems 2 Synthetic Division 3 Roots of a Polynomial Equation 4 Rational and Irrational Roots 15 1 Properties of Inequalities 2 Solution of Linear Inequalities 3 Solution of Nonlinear Inequalities 4 Inequalities Involving Absolute Values 12 1,2 The Exponential and Logarithm Functions; Graphs 3 Properties of Logarithms 4 Logarithms to the Base 10 6 Natural Logarithms 7 Exponential and Logarithmic Equations 8 Graphs on Logarithmic and Semilogarithmic Paper EXAMINATION II 19 1 Fundamental Trigonometric Identities 2 Sine and Cosine of the Sum and Difference of Two Angles 3 Double Angle Formulas 4 Half-Angle Formulas 5 Trigonometric Equations 6 The Inverse Trigonometric Functions 20 1,2 The Straight Line 3 The Circle 4 The Parabola 5 The Ellipse 6 The Hyperbola 9 Polar Coordinates 10 Curves in Polar Coordinates REVIEW FINAL EXAMINATION