Ma1310 Essay

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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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