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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.

Chapter   Sections   Topics
10          1      Integral Exponents
2      Fractions Exponents

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

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

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