2026 Exam: Tuesday 10th November 9am - 11.10am
Course Information
Chapter 1: Mathematical Induction
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Mathematical Induction - Chapter Introduction
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Mathematical Induction - Cheat Sheet
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1A: The Process of Induction - Theory (25:38)
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1A: The Process of Induction - Application (17:35)
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1A: The Process of Induction - Practice Worksheet
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1B: The Principle of Mathematical Induction - Theory (38:26)
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1B: The Principle of Mathematical Induction - Application (18:10)
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1B: The Principle of Mathematical Induction - Practice Worksheet
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1C: Proof of Divisibility - Theory (10:38)
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1C: Proof of Divisibility - Application (33:48)
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1C: Proof of Divisibility - Practice Worksheet
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1D: Proofs for Sequences & Series - Theory (19:16)
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1D: Proofs for Sequences & Series - Application (42:57)
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1D: Proofs for Sequences & Series - Practice Worksheet
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1E: Proofs for Products - Theory (14:22)
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1E: Proofs for Products - Application (32:23)
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1E: Proofs for Products - Practice Worksheet
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1F: Induction with Matrices - Theory (11:32)
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1F: Induction with Matrices - Application (33:11)
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1F: Induction with Matrices - Practice Worksheet
Chapter 2: Real Polynomials
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Real Polynomials - Chapter Introduction
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Real Polynomials - Cheat Sheet
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2A: Operations with Polynomials - Theory (32:22)
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2A: Operations with Polynomials - Application (16:26)
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2A: Operations with Polynomials - Practice Worksheet
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2B: Zeros, Roots, & Factors - Theory (22:45)
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2B: Zeros, Roots, & Factors - Application (15:34)
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2B: Zeros, Roots, & Factors - Practice Worksheet
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2C: Polynomial Equality - Theory (14:40)
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2C: Polynomial Equality - Application (26:47)
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2C: Polynomial Equality - Practice Worksheet
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2D: Polynomial Division - Theory (28:00)
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2D: Polynomial Division - Application (31:27)
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2D: Polynomial Division - Practice Worksheet
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2E: The Remainder Theorem - Theory (13:39)
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2E: The Remainder Theorem - Application (8:43)
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2E: The Remainder Theorem - Practice Worksheet
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2F: The Factor Theorem - Theory (11:57)
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2F: The Factor Theorem - Application (24:24)
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2F: The Factor Theorem - Practice Worksheet
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2G: The Fundamental Theorem of Algebra - Theory (17:27)
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2G: The Fundamental Theorem of Algebra - Application (31:11)
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2G: The Fundamental Theorem of Algebra - Practice Worksheet
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2H: Sum & Product of Roots Theorem (EXTENSION) - Theory (24:46)
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2H: Sum & Product of Roots Theorem (EXTENSION) - Application (19:14)
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2H: Sum & Product of Roots Theorem (EXTENSION) - Practice Worksheet
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2I: Graphing Real Polynomials (Cubics) - Theory (39:54)
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2I: Graphing Real Polynomials (Cubics) - Application (26:59)
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2I: Graphing Real Polynomials (Cubics) - Practice Worksheet
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2J: Graphing Real Polynomials (Quartics) - Theory (32:58)
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2J: Graphing Real Polynomials (Quartics) - Application (27:46)
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2J: Graphing Real Polynomials (Quartics) - Practice Worksheet
Chapter 3: Functions - COMING SOON!
Chapter 4: Complex Numbers
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Complex Numbers - Chapter Introduction
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Complex Numbers - Cheat Sheet
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4A: The Complex Plane - Theory (16:36)
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4A: The Complex Plane - Application (5:33)
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4A: The Complex Plane - Practice Worksheet
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4B: Modulus & Argument - Theory (20:19)
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4B: Modulus & Argument - Application (33:43)
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4B: Modulus & Argument - Practice Worksheet
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4C: Polar Form - Theory (22:04)
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4C: Polar Form - Application (18:29)
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4C: Polar Form - Practice Worksheet
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4D: Euler's Form (EXTENSION) - Theory (16:43)
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4D: Euler's Form (EXTENSION) - Application (10:30)
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4D: Euler's Form (EXTENSION) - Practice Worksheet
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4E: De Moivre's Theorem - Theory (7:37)
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4E: De Moivre's Theorem - Application (18:15)
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4E: De Moivre's Theorem - Practice Worksheet
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4F: Roots of Complex Numbers - Theory (17:21)
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4F: Roots of Complex Numbers - Application (20:47)
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4F: Roots of Complex Numbers - Practice Worksheet
Chapter 7: Integration
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Integration - Chapter Introduction
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Integration - Cheat Sheet
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7A: Rules for Integration - Theory (17:42)
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7A: Rules for Integration - Application (13:05)
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7A: Rules for Integration - Practice Worksheet
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7B: Integrals with Inverse Trigonometric Functions - Theory (14:35)
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7B: Integrals with Inverse Trigonometric Functions - Application (23:34)
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7B: Integrals with Inverse Trigonometric Functions - Practice Worksheet
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7C: Integration by Substitution - Theory (16:10)
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7C: Integration by Substitution - Application (16:50)
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7C: Integration by Substitution - Practice Worksheet
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7D: Integration by Parts - Theory (15:44)
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7D: Integration by Parts - Application (16:39)
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7D: Integration by Parts - Practice Worksheet
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7E: The Area Between Two Functions - Theory (16:47)
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7E: The Area Between Two Functions - Application (31:22)
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7E: The Area Between Two Functions - Practice Worksheet
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7F: Solids of Revolution - Theory (20:19)
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7F: Solids of Revolution - Application (27:00)
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7F: Solids of Revolution - Practice Worksheet
Exam Preparation
