Course Information
Chapter 4: Trigonometric Functions
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Trigonometric Functions: Chapter Introduction
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Trigonometric Function: Cheat Sheet
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4A: General Trigonometric Functions (Sine) - Theory (70:37)
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4A: General Trigonometric Functions (Sine) - Application (21:34)
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4A: General Trigonometric Functions (Sine) - Practice Worksheet
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4B: General Trigonometric Functions (Cosine) - Theory (46:06)
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4B: General Trigonometric Functions (Cosine) - Application (23:08)
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4B: General Trigonometric Functions (Cosine) - Practice Worksheet
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4C: The General Tangent Function - Theory (42:54)
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4C: The General Tangent Function - Application (20:51)
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4C: The General Tangent Function - Practice Worksheet
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4D: Reciprocal Trigonometric Functions - Theory (28:51)
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4D: Reciprocal Trigonometric Functions - Application (17:20)
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4D: Reciprocal Trigonometric Functions - Practice Worksheet
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4E: Solving Trigonometric Equations - Theory (41:19)
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4E: Solving Trigonometric Equations - Application (13:21)
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4E: Solving Trigonometric Equations - Practice Worksheet
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4F: Modelling using Trigonometric Functions - Theory (9:09)
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4F: Modelling using Trigonometric Functions - Application (30:28)
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4F: Modelling using Trigonometric Functions - Practice Worksheet
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4G: Trigonometric Relationships - Theory (24:17)
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4G: Trigonometric Relationships - Application (14:45)
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4G: Trigonometric Relationships - Practice Worksheet
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4H: Double Angle Identities - Theory (18:56)
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4H: Double Angle Identities - Application (16:58)
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4H: Double Angle Identities - Practice Worksheet
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4I: Angle Sum & Difference Identities - Theory (18:14)
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4I: Angle Sum & Difference Identities - Application (20:50)
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4I: Angle Sum & Difference Identities - Practice Worksheet
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4J: Trigonometric Equations in Quadratic Form (EXTENSION) - Theory (11:35)
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4J: Trigonometric Equations in Quadratic Form (EXTENSION) - Application (16:42)
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4J: Trigonometric Equations in Quadratic Form (EXTENSION) - Practice Worksheet
Chapter 5: Matrices
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Matrices: Chapter Introduction
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Matrices: Cheat Sheet
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5A: Matrix Structure - Theory (14:04)
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5A: Matrix Structure - Application (2:15)
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5A: Matrix Structure - Practice Worksheet
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5B: Matrix Operations & Definitions - Theory (23:55)
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5B: Matrix Operations & Definitions - Application (9:29)
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5B: Matrix Operations & Definitions - Practice Worksheet
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5C: Matrix Multiplication - Theory (35:14)
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5C: Matrix Multiplication - Application (23:42)
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5C: Matrix Multiplication - Practice Worksheet
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5D: The Inverse of a 2x2 Matrix - Theory (24:49)
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5D: The Inverse of a 2x2 Matrix - Application (15:17)
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5D: The Inverse of a 2x2 Matrix - Practice Worksheet
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5E: Simultaneous Linear Equations - Theory (18:52)
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5E: Simultaneous Linear Equations - Application (17:05)
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5E: Simultaneous Linear Equations - Practice Worksheet
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5F: Translations & Lines in 2D - Theory (10:07)
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5F: Translations & Lines in 2D - Application (4:51)
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5F: Translations & Lines in 2D - Practice Worksheet
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5G: Linear Transformations - Theory (30:20)
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5G: Linear Transformations - Application (20:18)
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5G: Linear Transformations - Practice Worksheet
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5H: Rotations About the Origin - Theory (25:38)
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5H: Rotations About the Origin - Application (21:56)
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5H: Rotations About the Origin - Practice Worksheet
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5I: Reflections - Theory (29:30)
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5I: Reflections - Application (23:16)
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5I: Reflections - Practice Worksheet
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5J: Dilations - Theory (16:56)
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5J: Dilations - Application (11:30)
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5J: Dilations - Practice Worksheet
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5K: Compositions of Transformations - Theory (22:34)
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5K: Compositions of Transformations - Application (25:05)
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5K: Compositions of Transformations - Practice Worksheet
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5L: The Inverse of a Linear Transformation - Theory (16:29)
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5L: The Inverse of a Linear Transformation - Application (14:56)
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5L: The Inverse of a Linear Transformation - Practice Worksheet
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Additional Video - Calculator Commands for Matrix Operations (8:58)
Chapter 6: Mathematical Induction
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Mathematical Induction: Chapter Introduction
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Mathematical Induction: Cheat Sheet
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6A: The Process of Induction - Theory (25:38)
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6A: The Process of Induction - Application (17:35)
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6A: The Process of Induction - Practice Worksheet
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6B: The Principle of Mathematical Induction - Theory (38:26)
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6B: The Principle of Mathematical Induction - Application (18:10)
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6B: The Principle of Mathematical Induction - Practice Worksheet
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6C: Proof of Divisibility - Theory (11:49)
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6C: Proof of Divisibility - Application (21:39)
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6C: Proof of Divisibility - Practice Worksheet
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6D: Proofs for Sequences & Series - Theory (15:16)
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6D: Proofs for Sequences & Series - Application (28:37)
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6D: Proofs for Sequences & Series - Practice Worksheet
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6E: Proofs for Products - Theory (14:50)
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6E: Proofs for Products - Application (28:55)
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6E: Proofs for Products - Practice Worksheet
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6F: Induction with Matrices - Theory (11:32)
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6F: Induction with Matrices - Application (21:09)
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6F: Induction with Matrices - Practice Worksheet
Chapter 7: Real & Complex Numbers
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Real & Complex Numbers: Chapter Introduction
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Real & Complex Numbers: Cheat Sheet
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7A: Interval Notation - Theory (16:42)
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7A: Interval Notation - Application (7:10)
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7A: Interval Notation - Practice Worksheet
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7B: Rational Numbers - Theory (13:53)
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7B: Rational Numbers - Application (16:12)
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7B: Rational Numbers - Practice Worksheet
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7C: Division by Surds - Theory (13:19)
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7C: Division by Surds - Application (13:27)
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7C: Division by Surds - Practice Worksheet
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7D: Irrational Numbers - Theory (20:06)
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7D: Irrational Numbers - Application (13:23)
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7D: Irrational Numbers - Practice Worksheet
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7E: The "Invention" of Imaginary Numbers - Theory (17:56)
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7E: The "Invention" of Imaginary Numbers - Application (8:57)
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7E: The "Invention" of Imaginary Numbers - Practice Worksheet
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7F: Complex Numbers - Theory (24:19)
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7F: Complex Numbers - Application (15:33)
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7F: Complex Numbers - Practice Worksheet
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7G: Complex Conjugates - Theory (17:47)
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7G: Complex Conjugates - Application (21:01)
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7G: Complex Conjugates - Practice Worksheet
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7H: Complex Numbers as 2D Vectors - Theory (16:20)
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7H: Complex Numbers as 2D Vectors - Application (6:45)
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7H: Complex Numbers as 2D Vectors - Practice Worksheet
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7I: Modulus - Theory (10:25)
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7I: Modulus - Application (14:52)
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7I: Modulus - Practice Worksheet
