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Pre-Calculus Video Series
Unit 1: Fundamental Algebra Skill Review
Algebra Review Pre-Quiz
Factoring Review (23:17)
Simplifying Rational Expressions (16:37)
Properties of Exponents (12:16)
Composition of Functions (11:34)
Algebra Review Assignments #1-3
Unit 2 - Parent Functions and Their Properties
Explore - Parent Graphs
Lesson - Transformations of Functions/Transformation Guide (15:38)
Practice - Sketching Functions Using Parent Graphs and Transformations (24:17)
Lesson - Inverse Relations and Functions (33:52)
Lesson - Piecewise Functions (17:27)
Lesson - Step Functions (29:36)
Lesson - Finding Domain Algebraically (16:25)
Review - Unit 2
Unit 3 - Polynomial and Rational Functions
Lesson - Graphing Polynomial Functions (53:10)
Lesson - Dividing Polynomials (37:12)
Lesson - Finding Zeros of Polynomials (24:02)
Lesson - Finding Complex Zeros of Polynomials (31:57)
Lesson - Graphing Rational Functions (56:30)
Review - Unit 3
Lesson - Solving Inequalities (Non-Linear) (42:09)
Unit 3b : Math Modeling
Lesson - Function Optimization (Maximizing Area/Volume and Minimizing Time/Energy) (70:23)
Unit 4: Exponential and Logarithmic Functions
Lesson - Exponential Functions (35:05)
Lesson - Properties of Logarithms (20:52)
Lesson - Graphing Logarithms (15:22)
Lesson - Solving Exponential and Logarithmic Equations Algebraically (28:21)
Lesson - Applications of Exponents and Logarithms (73:50)
Practice/Review - Unit 4
Unit 5 - Conic Sections
Lesson - Conic Sections Introduction/General Form of Conics (31:07)
Lesson - Circles (19:59)
Lesson - Ellipses (36:02)
Lesson - Hyperbolas (48:56)
Lesson - Parabolas (36:56)
Review - Conics
Practice - Applications of Conics
Unit 6: Right Triangle Trigonometry & The Unit Circle
Lesson - Right Triangle Trigonometry (26:11)
Lesson - Solving Right Triangles (28:54)
Lesson - Angles: Radians and Degrees (21:20)
Lesson - The Unit Circle (61:24)
Unit 7: Graphing Trigonometric Functions
Lesson - Graphing Sine and Cosine (38:30)
Lesson - Graphing Secant and Cosecant (24:22)
Lesson - Graphing Tangent and Cotangent (23:19)
Practice - Graphing Review
Lesson - Inverse Trig Functions (30:50)
Unit 8 - Law of Sines and Cosines
Lesson - Law of Sines (25:58)
Lesson - Law of Cosines (24:10)
Lesson - Applications of Law of Sines and Law of Cosines (23:20)
Unit 9 - Verifying Trigonometric Identities
Lesson - Trigonometric Identities (27:22)
Practice - Trigonometric Identities
Lesson - Addition and Subtraction Formulas (15:59)
Lesson - Double and Half Angle Formulas (33:10)
Practice - Cumulative Proof Practice
Lesson - Trigonometric Equations (39:24)
Unit 10 - Vectors
Lesson - Complex Numbers (20:48)
Lesson - Vectors (55:12)
Lesson - Dot Product (20:05)
Unit 11 - Partial Fractions
Lesson - Partial Fraction Decomposition (71:47)
Unit 12 - Polar and Parametric Equations
Polar Coordinates (23:10)
Lesson - Polar Graphs (50:52)
Lesson - Parametric Equations (67:09)
Unit 13 - Sequences and Series/Binomial Theorem/Mathematical Induction
Lesson - Introduction to Sequences and Series (11:24)
Lesson - Arithmetic Sequences and Series (29:22)
Lesson - Geometric Sequences and Series (35:32)
Lesson - Binomial Theorem (32:03)
Lesson - Mathematical Induction (23:12)
Unit 14 - Calculus Preview - Limits
Lesson - Finding Limits Graphically (25:16)
Lesson - Finding Limits Algebraically (38:38)
Lesson - Function Optimization (Maximizing Area/Volume and Minimizing Time/Energy)
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