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Year 12 Mathematical Methods
2026 Exam: Monday 2nd November 9am - 11.10am
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Course Information
Welcome to Year 12 Mathematical Methods
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Chapter 1: Differential Calculus
Differential Calculus - Chapter Introduction
Differential Calculus - Cheat Sheet
1A: First Principles - Theory (36:02)
1A: First Principles - Application (29:59)
1A: First Principles - Practice Worksheet
1B: Simple Rules of Differentiation - Theory (19:06)
1B: Simple Rules of Differentiation - Application (14:43)
1B: Simple Rules of Differentiation - Practice Worksheet
1C: The Chain Rule - Theory (14:19)
1C: The Chain Rule - Application (23:10)
1C: The Chain Rule - Practice Worksheet
1D: The Product Rule - Theory (11:55)
1D: The Product Rule - Application (23:56)
1D: The Product Rule - Practice Worksheet
1E: The Quotient Rule - Theory (14:24)
1E: The Quotient Rule - Application (19:53)
1E: The Quotient Rule - Practice Worksheet
1F: Derivatives of Exponential Functions - Theory (9:45)
1F: Derivatives of Exponential Functions - Application (15:52)
1F: Derivatives of Exponential Functions - Practice Worksheet
1G: Derivatives of Logarithmic Functions - Theory (14:51)
1G: Derivatives of Logarithmic Functions - Application (15:27)
1G: Derivatives of Logarithmic Functions - Practice Worksheet
1H: Derivatives of Trigonometric Functions - Theory (10:20)
1H: Derivatives of Trigonometric Functions - Application (16:31)
1H: Derivatives of Trigonometric Functions - Practice Worksheet
1I: Second Derivatives - Theory (9:18)
1I: Second Derivatives - Application (18:32)
1I: Second Derivatives - Practice Worksheet
Chapter 3: Applications of Differential Calculus
Applications of Differential Calculus - Chapter Introduction
Applications of Differential Calculus - Cheat Sheet
3A: Equations of Tangents - Theory (19:12)
3A: Equations of Tangents - Application (26:21)
3A: Equations of Tangents - Practice Worksheet
3B: Stationary Points - Theory (42:44)
3B: Stationary Points - Application (37:15)
3B: Stationary Points - Practice Worksheet
3C: Inflections & Shape - Theory (42:39)
3C: Inflections & Shape - Application (72:55)
3C: Inflections & Shape - Practice Worksheet
3D: Kinematics - Theory (58:43)
3D: Kinematics - Application (61:29)
3D: Kinematics - Practice Worksheet
3E: Rates of Change - Theory (31:34)
3E: Rates of Change - Application (39:14)
3E: Rates of Change - Practice Worksheet
3F: Optimisation - Theory (39:50)
3F: Optimisation - Application (51:10)
3F: Optimisation - Practice Worksheet
Chapter 4: Integration
Integration - Chapter Introduction
Integration - Cheat Sheet
4A: The Area Under a Curve - Theory (62:35)
4A: The Area Under a Curve - Application (38:50)
4A: The Area Under a Curve - Practice Worksheet
4B: Antidifferentiation - Theory (19:29)
4B: Antidifferentiation - Application (16:55)
4B: Antidifferentiation - Practice Worksheet
4C: The Fundamental Theorem of Calculus - Theory (30:32)
4C: The Fundamental Theorem of Calculus - Application (21:00)
4C: The Fundamental Theorem of Calculus - Practice Worksheet
4D: Integration - Theory (30:56)
4D: Integration - Application (25:03)
4D: Integration - Practice Worksheet
4E: Rules for Integration - Theory (27:37)
4E: Rules for Integration - Application (16:12)
4E: Rules for Integration - Practice Worksheet
4F: Integrating f(ax+b) - Theory (23:11)
4F: Integrating f(ax+b) - Application (16:23)
4F: Integrating f(ax+b) - Practice Worksheet
4G: Definite Integrals - Theory (18:02)
4G: Definite Integrals - Application (20:35)
4G: Definite Integrals - Practice Worksheet
Chapter 5: Applications of Integration - COMING SOON!
Applications of Integration - Chapter Introduction
Chapter 7: Discrete Random Variables
Discrete Random Variables - Chapter Introduction
Discrete Random Variables - Cheat Sheet
7A: Random Variables - Theory (11:19)
7A: Random Variables - Application (13:12)
7A: Random Variables - Practice Worksheet
7B: Discrete Probability Distributions - Theory (22:03)
7B: Discrete Probability Distributions - Application (17:30)
7B: Discrete Probability Distributions - Practice Worksheet
7C: Expected Value - Theory (44:15)
7C: Expected Value - Application (22:55)
7C: Expected Value - Practice Worksheet
7D: Variance & Standard Deviation - Theory (12:26)
7D: Variance & Standard Deviation - Application (25:28)
7D: Variance & Standard Deviation - Practice Worksheet
7E: Properties of aX+b - Theory (13:48)
7E: Properties of aX+b - Application (16:25)
7E: Properties of aX+b - Practice Worksheet
7F: The Bernoulli Distribution - Theory (13:53)
7F: The Bernoulli Distribution - Application (14:29)
7F: The Bernoulli Distribution - Practice Worksheet
7G: The Binomial Distribution - Theory (26:54)
7G: The Binomial Distribution - Application (29:52)
7G: The Binomial Distribution - Practice Worksheet
Exam Preparation
Past Exam Library
2016 Exam Review
2017 Exam Review
2018 Exam Review
2019 Exam Review
2020 Exam Review
2021 Exam Review
2022 Exam Review
2023 Exam Review
2024 Exam Review
2025 Exam Review
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7B: Discrete Probability Distributions - Theory
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