2495 Words10 Pages

Analysis of the Topics in College Mathematics II
Dr Lennox Superville
Content Areas
Section 1 – Table of Contents
Section 4.1 Exponential Functions
Section 4.2 Logarithmic Functions
Section 4.3 Properties of Logarithms
Section 5.1 Angles and Radian Measure
Section 5.2 Right Angle Trigonometry
Section 5.3 Trigonometric Functions at Any Angle
Section 5.4 Trigonometric Functions
Section 5.5 Graph of Sine and Cosign Functions
Section 5.6 Graphs of Other Trigonometric Functions
Section 5.7 Inverse Trigonometric Functions
Section 7.1 The Laws of Sines
Section 7.2 The Laws of Cosines
Section 7.3 Polar Coordinates
Section 7.4 Graphs of Polar Equations
Section 7.5 Complex Numbers in Polar Equations
Section 7.6 Vectors
Section 10.1 The Ellipse
Section 10.2 The Hyperbola
Section 10.3 The Parabola
Section 11.1 Sequences and Summation Notation
Section 11.2 Arithmatic Sequences
Section 11.3 Geometric Sequences and Series
Section 11.4 Mathmatical Induction
Section 11.5 Binomial Theorem
Section 11.6 Counting Principles, Permulations, and Combinations
Section 2 Questions, Definitions, Objectives and Characteristics
Section 4.1 Exponential Functions
Objective of Exponential Function- Evaluate exponential functions, graph exponential functions, evaluate functions with base e and use compound interest formulas
Definition of Exponential Function- The exponential function f with base b is defined by f1x2=bx or y=bx, where b is a positive constant other than 1 (b 7 0 and b Z 1) and x is any real number.
Characteristics of Exponential Functions- Characteristics of Exponential Functions of the Form f(x) = bx
1. The domain of f(1x) = bx consists of all real numbers: 1 -. The range of f(x) = bx consists of all positive real numbers:
2. The graphs of all exponential functions of the form f(x) = bx pass through the point (0, 1)

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