WA Introductory Calculus Maths lessons for years 12
Introductory Calculus (Part 1)
1) Maths - Powers and Polynomials MATHS - CHAPTER 1: Functions & Sequences Maths - Lesson 1 Functions and Relations Maths - Lesson 2 Domain and Range of a Function Maths - Lesson 3 General Term of an Arithmetic Progression Maths - Lesson 4 Difference Equations Maths - Lesson 5 Solving Difference Equations Maths - K-TEST Functions & Sequences Test MATHS - CHAPTER 2: Linear Functions Maths - Lesson 1 Gradient of a Line Maths - Lesson 2 Graphing Linear Equations Maths - Lesson 3 The Gradient - Intercept Form of a Line Maths - Lesson 4 Sketching A Line Using y = mx + b Maths - Lesson 5 Determining Whether a Point Lies On a Line Maths - Lesson 6 Parallel Lines Maths - Lesson 7 Perpendicular Lines Maths - Lesson 8 Graphs in Science Maths - K-TEST Linear Equations Test MATHS - CHAPTER 3: Quadratics Maths - Lesson 1 Quadratic Equations Maths - Lesson 2 Further Questions Maths - Lesson 3 Expansion of Brackets Maths - Lesson 4 The Quadratic Formula Maths - K-TEST Quadratics Test MATHS - CHAPTER 4: Cubics Maths - Lesson 1 The Cubic Curve Maths - Lesson 2 The Hyperbola Maths - K-TEST Cubics Test
2) Maths - Exponentials and Logarithms MATHS - CHAPTER 2: Indices, Logarithms & Series Maths - Lesson 1 Basic Laws of Indices Maths - Lesson 2 More Advanced Laws Maths - Lesson 3 Exponential Growth and Decay Maths - Lesson 4 Logarithms Lesson 5 General Term and Sum of a Geometric Progression Maths - Lesson 6 Applications of Geometric Series Maths - Lesson 7 Summary of Index Laws
Maths - K-TEST Exponentials & Indices Test
Introductory Calculus (Part 2)
1) Maths - Differentiation MATHS - CHAPTER 1: Differentiating Powers, Exponentials & Logs Maths - Lesson 1 Differentiating x to the power of n Maths - Lesson 2 Negative values of n Maths - Lesson 3 Differentiation of Exponential Functions Maths - Lesson 4 Differentiation of Logarithmic Functions Maths - Lesson 5 Derivative from First Principles Maths - Lesson 6 Differentiating roots of x Maths - K-TEST Differentiation Test 1 MATHS - CHAPTER 2: Rules of Differentiating Maths - Lesson 1 Product Rule Maths - Lesson 2 Quotient Rule Maths - Lesson 3 Chain Rule Maths - K-TEST Differentiation Test 2 MATHS - CHAPTER 3: Differentiation (Other Functions) Maths - Lesson 1 Rate of Change of Non-linear Functions Maths - Lesson 2 Relating Gradient Function to Original Function Maths - K-TEST Differentiation Test 3 MATHS - CHAPTER 4: Limits & Continuity Maths - Lesson 1 Limits Maths - Lesson 2 Continuity Maths - Lesson 3 Rate of Change of Linear Functions Maths - K-TEST Differentiation Test 4
2) Maths - Applications of Differentiation MATHS - CHAPTER 1: Tangents & Normals Maths - Lesson 1 Tangents and Normals Maths - Lesson 2 Velocity and Acceleration Maths - K-TEST Exponentials & Indices Test MATHS - CHAPTER 2: Turning Points & Other Noteworthy Features Maths - Lesson 1 Decreasing and Increasing Functions Maths - Lesson 2 Stationary Points Maths - Lesson 3 Nature of a Curve Maths - Lesson 4 Maxima and Minima MATHS - CHAPTER 3: Optimisation Maths - Lesson 1 Calculus Method Maths - K-TEST Applications of Differentiation Test
3) Maths - Integration MATHS - CHAPTER 1: Integral Calculus Maths - Lesson 1 Anti differentiation Maths - Lesson 2 Definite Integral Maths - Lesson 3 Integration of Exponential Functions Maths - Lesson 4 Integration by Recognition Maths - K-TEST Integral Calculus Test MATHS - CHAPTER 2: Applications of Integration Maths - Lesson 1 Area under a curve and between two curves Maths - Lesson 2 Volume of a Solid of Revolution Maths - Lesson 3 Instantaneous Velocity Maths - K-TEST Applications of Integration Test
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