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Hamilton Pre-Calculus 1
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Homework Syllabus
Chapter P: Prerequisites
P.1 Real Numbers
P.2 Cartesian Coordinate System
P.3 Linear Equations and Inequalities
P.4 Lines in the Plane
P.5 Solving Equations Graphically, Numerically, and Algebraically
P.6 Complex Numbers
P.7 Solving Inequalitites Algebraically and Graphically
Chapter 1: Functions and Graphs
1.1 Modeling and Equation Solving
1.2 Functions and Their Properties
1.3 Twelve Basic Functions
1.4 Building Functions from Functions
1.5 Parametric Relations and Inverses
1.6 Graphical Transformations
1.7 Modeling with Functions
Chapter 2: Polynomial, Power, and Rational Functions
2.1 Linear and Quadratic Functions and Modeling
2.2 Power Functions with Modeling
2.3 Polynomial Functions of Higher Degree with Modeling
2.4 Real Zeroes of Polynomial Functions
2.5 Complex Zeros and the Fundamental Theorem of Algebra
2.6 Graphs of Rational Functions
2.7 Solving Equations in One Variable
2.8 Solving Inequalities in One Variable
Chapter 3: Exponential, Logistic, and Logarithmic Functions
3.1 Exponential and Logistic Functions
3.2 Exponential and Logistic Modeling
3.3 Logarithmic Functions and Their Graphs
3.4 Properties of Logarithmic Functions
3.5 Equation Solving and Modeling
3.6 Mathematics of Finance
Chapter 4: Trigonometric Functions
4.1 Angles and Their Measures
4.2 Trigonometric Functions of Acute Angles
4.3 Trigonometry Extended: The Circular Functions
4.4 Graphs of Sine and Cosine: Sinusoids
4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant
4.6 Graphs of Composite Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Solving Problems with Trigonometry
Chapter 5: Analytic Trigonometry
5.1 Fundamental Identites
5.2 Proving Trigonometric Identities
5.3 Sum and Difference Identites
5.4 Multiple-Angle Identities
5.5 The Law of Sines
5.6 The Law of Cosines
Problem of the Week
Hamilton Pre-Calculus 1
1.6 Graphical Transformations
Video Examples
Example 1
Example 3
Example 6
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