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Units 1-8
Unit 1: Functions
>
1.1: Lines in the Plane
1.2: Functions
1.3: Graphs of Functions
1.4: Graph Transformations
1.5: Combinations of Functions
1.6: Inverse Functions
1.7: Scatter Plots and Linear Regression
Unit 2: Polynomials
>
2.1: Quadratic Functions
2.2: Higher Degree Polynomials
2.3: Real Zeros of Polynomials
2.4: Complex Numbers
2.5: The Fundamental Theorem of Algebra
Unit 3: Rational Functions and Regression
>
3.1-3.2: Rational Functions
3.3: Linear, Quadratic, and Cubic Regression
Unit 4: Exponential and Logarithmic Functions
>
4.1: Exponential Functions and Graphs
4.2: Logarithmic Functions and Graphs
4.3: Properties of Logarithms
4.4: Exponential and Logarithmic Equations
4.5: Exponential and Logarithmic Models
4.6: Nonlinear Models
Unit 5: Introduction to Trigonometric Functions
>
5.1: Radian and Degree Measure
5.2: The Unit Circle
5.3: Right Triangle Trigonometry
5.4: Trigonometric Functions of Any Angle
5.5 - Applications of Trig Functions
Unit 6: Trigonometric Graphs
>
6.1: Sine and Cosine Graphs
6.2 - The Other Trig Functions
Unit 7: Verifying Trigonometric Identities
>
7.1 -7.3 - Simplifying Trigonometric Expressions / Verifying Trigonometric Identities
Unit 8: Solving Trigonometric Equations
>
8.1 Solving Trigonometric Equations
8.2 - Sum/Difference; Multiple Angle Formulas
Units 9-17
Unit 9: Additional Topics in Trigonometry
>
9.1-9.2 - Law of Sines/Cosines
9.3-9.4 - Vectors
Unit 10 - Systems of Equations
>
10.1 - Elimination
10.2- Substitution
10.3 - Multi-variable Systems
Unit 11: Matrices
>
11.1 - Matrices and Systems of Equations
11.2 - Matrix Operations
11.3 - Inverse Matrices
11.4 - Determinants/Applications of Matrices and Determinants
Unit 12: Sequences and Series
>
12.1 - Sequences and Series
12.2 - 12.3 Arithmetic and Geometric Sequences and Series
12.4 - Mathematical Induction
12.5 - Binomial Theorem
Unit 13: Probability
>
13.1 - Counting Principles
13.2 - Probability
Unit 14: Conic Sections
>
14.1: Parabolas
14.2: Ellipses
14.3: Hyperbolas
Applications
Rotations of Conics
Unit 15: Parametric / Polar Equations
>
15.1-15.4
Unit 16: Three Dimensional Coordinate System
Unit 17: Introduction to Calculus
Course Syllabus
pclc-syllabus.pdf
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276 kb
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pdf
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Home
Units 1-8
Unit 1: Functions
>
1.1: Lines in the Plane
1.2: Functions
1.3: Graphs of Functions
1.4: Graph Transformations
1.5: Combinations of Functions
1.6: Inverse Functions
1.7: Scatter Plots and Linear Regression
Unit 2: Polynomials
>
2.1: Quadratic Functions
2.2: Higher Degree Polynomials
2.3: Real Zeros of Polynomials
2.4: Complex Numbers
2.5: The Fundamental Theorem of Algebra
Unit 3: Rational Functions and Regression
>
3.1-3.2: Rational Functions
3.3: Linear, Quadratic, and Cubic Regression
Unit 4: Exponential and Logarithmic Functions
>
4.1: Exponential Functions and Graphs
4.2: Logarithmic Functions and Graphs
4.3: Properties of Logarithms
4.4: Exponential and Logarithmic Equations
4.5: Exponential and Logarithmic Models
4.6: Nonlinear Models
Unit 5: Introduction to Trigonometric Functions
>
5.1: Radian and Degree Measure
5.2: The Unit Circle
5.3: Right Triangle Trigonometry
5.4: Trigonometric Functions of Any Angle
5.5 - Applications of Trig Functions
Unit 6: Trigonometric Graphs
>
6.1: Sine and Cosine Graphs
6.2 - The Other Trig Functions
Unit 7: Verifying Trigonometric Identities
>
7.1 -7.3 - Simplifying Trigonometric Expressions / Verifying Trigonometric Identities
Unit 8: Solving Trigonometric Equations
>
8.1 Solving Trigonometric Equations
8.2 - Sum/Difference; Multiple Angle Formulas
Units 9-17
Unit 9: Additional Topics in Trigonometry
>
9.1-9.2 - Law of Sines/Cosines
9.3-9.4 - Vectors
Unit 10 - Systems of Equations
>
10.1 - Elimination
10.2- Substitution
10.3 - Multi-variable Systems
Unit 11: Matrices
>
11.1 - Matrices and Systems of Equations
11.2 - Matrix Operations
11.3 - Inverse Matrices
11.4 - Determinants/Applications of Matrices and Determinants
Unit 12: Sequences and Series
>
12.1 - Sequences and Series
12.2 - 12.3 Arithmetic and Geometric Sequences and Series
12.4 - Mathematical Induction
12.5 - Binomial Theorem
Unit 13: Probability
>
13.1 - Counting Principles
13.2 - Probability
Unit 14: Conic Sections
>
14.1: Parabolas
14.2: Ellipses
14.3: Hyperbolas
Applications
Rotations of Conics
Unit 15: Parametric / Polar Equations
>
15.1-15.4
Unit 16: Three Dimensional Coordinate System
Unit 17: Introduction to Calculus