Trigonometry Notes
Chapter 1
1-1 Points and Lines
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1-2 Slopes of Lines
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1-3 Finding Equations of Lines
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1-4 Linear Functions and Models
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1-5 The Complex Numbers
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1-6 Solving Quadratic Equations
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1-7 Quadratic Functions and Their Graphs
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Quiz Review 4-7.1
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1-8 Quadratic Models
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Chapter 2
2-1 Polynomials
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2-2 Synthetic Division; The Remainder and Factor Theorems
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2-3 Graphing Polynomial Functions
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2-4 Finding Maximums and Minimums of Polynomial Functions
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2-5 Using Technology to Approximate Roots of Polynomial Equations
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2-6 Solving Polynomial Equations by Factoring
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2-7 General Results for Polynomial Equations
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Chapter 3
3-1 Linear Inequalities; Absolute Value
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3-2 Polynomial Inequalities in One Variable
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3-3 Polynomial Inequalities in Two Variables
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3-4 Linear Programming
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Chapter 4
4-1 Functions
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4-2 Operations on Functions
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4-3 Reflecting Graphs; Symmetry
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The remainder of the class notes will now be located on Angel (Lessons)
http://pcps.myelearning.org
4-4 Periodic Functions; Stretching and Translating Graphs
4-5 Inverse Functions
4-6 Functions of Two Variables
4-7 Forming Functions from Verbal Descriptions
Chapter 5
5-1 Growth and Decay; Integral Exponents
5-2 Growth and Decay; Rational Exponents
5-3 Exponential Functions
5-4 The Exponential Function e ^x and the Function e^x
5-5 Logarithmic Functions
5-6 Laws of Logarithms
5-7 Exponential Equations; Changing Bases
Chapter 6
Introduction
6-1 Coordinate Proofs
6-2 Equations of Circles
6-3 Ellipses
6-4 Hyperbolas
6-5 Parabolas
6-6 Systems of Second-Degree Equations
6-7 A New Look at Conic Sections
Chapter 7
7-1 Measurement of Angels
7-2 Sectors of Circles
7-3 The Sine and Cosine Functions
7-4 Evaluating and Graphing Sine and Cosine
7-5 The Other Trigonometric Functions
7-6 The Inverse Trigonometric Functions Chapter 8
8-1 Simple Trigonometric Equations
8-2 Sine and Cosine Curves
8-3 Modeling Periodic Behavior
8-4 Relationships Among the Functions
8-5 Solving More Difficult Trigonometric Equations
Chapter 9
9-1 Solving Right Triangles
9-2 The Area of Triangle
9-3 The Law of Sines
9-4 The Law of Cosines
Mixed Trig Exercises
9-5 Applications of Trigonometry to Navigation and Surveying
Chapter 10
10-1 Formulas for cos (alpha +/- beta) and sin (alpha +/- beta)
10-2 Formulas for tan (alpha +/- beta)
10-3 Double-Angle and Half-Angle Formulas
10-4 Solving Trigonometric Equations
Chapter 11
11-1 Polar Coordinates and Graphs
11-2 Geometric Representation of Complex Numbers
11-3 Powers of Complex Numbers
11-4 Roots of Complex Numbers
Chapter 12
12-1 Geometric Representation of Vectors
12-2 Algebraic Representation of Vectors
12-3 Vector and Parametric Equations: Motion in a Plane
12-4 Parallel and Perpendicular Vectors; Dot Product
12-5 Vectors in Three Dimensions
12-6 Vectors and Planes
12-7 Determinants
12-8 Applications of Determinants
12-9 Determinants and Vectors in Three Dimensions
Chapter 13
13-1 Arithmetic and Geometric Sequences
13-2 Recursive Definitions
13-3 Arithmetic and Geometric Series and Their Sums
13-4 Limits and Infinite Sequences
13-5 Sums of Infinite Series
13-6 Sigma Notation
13-7 Mathematical Induction
Chapter 14
14-1 Matrix Addition and Scalar Multiplication
14-2 Matrix Multiplication
14-3 Applying Matrices to Linear Systems
14-4 Communication Matrices
14-5 Transition Matrices
14-6 Transformation Matrices
Chapter 15
15-1 Venn Diagrams
15-2 The Multiplication, Addition, and Complement Principles
15-3 Permutations and Combinations
15-4 Permutations with Repetition; Circular Permutations
15-5 The Binomial Theorem; Pascal's Triangle
Chapter 16
16-1 Introduction to Probability
16-2 Probability of Events Occurring Together
16-3 The Binomial Probability Theorem
16-4 Probability Problems Solved with Combinations
16-5 Working with Conditional Probability
16-6 Expected Value
Chapter 17
17-1 Tables, Graphs, and Averages
17-2 Box-and-Whisker Plots
17-3 Variability
17-4 The Normal Distribution
17-5 Sampling
17-6 Confidence Intervals for Surveys and Polls
Chapter 18
18-1 Introduction to Curve Fitting; The Least-Squares Line
18-2 Fitting Exponential Curves
18-3 Fitting Power Curves
18-4 Choosing the Best Model
Chapter 19
19-1 Limits of Functions
19-2 Graphs of Rational Functions
19-3 Using Technology to Appoximate the Area under a Curve
19-4 Power Series
19-5 Anaylzing Orbits
19-6 Applications of Iterated Functions
Chapter 20
20-1 The Slope of a Curve
20-2 Using Derivatives in Curve Sketching
20-3 Extreme Value Problems
20-4 Velocity and Acceleration
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This page was originally posted: 11/2/2007; 9:31:13 AM.
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