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Course Content
Chapter 1: Algebraic Methods (1 Class)
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Lesson-1.1: Performing Arithmetic Operations with Algebraic Fractions
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Chapter 2: Functions and Graphs (8 Classes)
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Lesson-2.1: Exploring the Modulus Function: Definitions and Properties
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Lesson-2.2: Understanding Functions and Mappings: Types and Examples
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Lesson-2.3: Creating and Analyzing Composite Functions
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Lesson-2.4: Deriving and Using Inverse Functions
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Lesson-2.5: Graphing and Solving 𝑦 = ∣ 𝑓 ( 𝑥 ) ∣ y=∣f(x)∣ and 𝑦 = 𝑓 ( ∣ 𝑥 ∣ ) y=f(∣x∣)
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Lesson-2.6: Combining Multiple Graph Transformations
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Lesson-2.7: Techniques for Solving Modulus Problems
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Lesson-2.8: Review Exercise for Functions and Graphs
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Chapter 3: Trigonometric Functions (6 Classes)
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Lesson-3.1: Introduction to Secant, Cosecant, and Cotangent Functions
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Lesson-3.2: Graphing sec ⁡ 𝑥 secx, csc ⁡ 𝑥 cscx, and cot ⁡ 𝑥 cotx: Techniques and Examples
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Lesson-3.3: Applications of sec ⁡ 𝑥 secx, csc ⁡ 𝑥 cscx, and cot ⁡ 𝑥 cotx in Problem Solving
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Lesson-3.4: Proving and Using Advanced Trigonometric Identities
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Lesson-3.5: Exploring Inverse Trigonometric Functions: Definitions and Applications
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Lesson-3.6: Review Exercise for Trigonometric Functions
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Chapter 4: Trigonometric Addition Formulas (5 Classes)
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Lesson-4.1: Understanding and Applying Addition Formulas
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Lesson-4.2: Using Angle Addition Formulas to Solve Problems
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Lesson-4.3: Deriving and Applying Double-Angle Formulas
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Lesson-4.4: Techniques for Solving Complex Trigonometric Equations
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Lesson-4.5: Simplifying Expressions of the Form 𝑎 cos ⁡ 𝑥 + 𝑏 sin ⁡ 𝑥 acosx+bsinx
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Chapter 5: Exponentials and Logarithms (6 Classes)
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Lesson-5.1: Introduction to Exponential Functions: Definitions and Properties
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Lesson-5.2: Analyzing the Function 𝑦 = 𝑒^ (𝑎 𝑥 + 𝑏) + 𝑐 y=e ax+b +c
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Lesson-5.3: Understanding and Using Natural Logarithms
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Lesson-5.4: Applying Logarithms to Non-Linear Data Analysis
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Lesson-5.5: Modeling Real-World Scenarios with Exponential Functions
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Lesson-5.6: Review Exercise for Exponentials and Logarithms
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Chapter 6: Differentiation (7 Classes)
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Lesson-6.1: Differentiating sin ⁡ 𝑥 sinx and cos ⁡ 𝑥 cosx: Techniques and Examples
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Lesson-6.2: Differentiating Exponential and Logarithmic Functions
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Lesson-6.3: Applying the Chain Rule to Complex Functions
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Lesson-6.4: Using the Product Rule for Differentiation
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Lesson-6.5: Using the Quotient Rule for Differentiation
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Lesson-6.6: Differentiating Advanced Trigonometric Functions
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Lesson-6.7: Review Exercise for Differentiation
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Chapter 7: Integration (5 Classes)
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Lesson-7.1: Integrating Standard Functions: Techniques and Examples
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Lesson-7.2: Integrating Functions of the Form 𝑓 ( 𝑎 𝑥 + 𝑏 ) f(ax+b)
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Lesson-7.3: Using Trigonometric Identities in Integration
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Lesson-7.4: Applying the Reverse Chain Rule in Integration
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Lesson-7.5: Review Exercise for Integration
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Chapter 8: Numerical Methods (3 Classes)
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Lesson-8.1: Techniques for Locating Roots of Equations
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Lesson-8.2: Applying Fixed Point Iteration to Solve Equations
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Lesson-8.3: Review Exercise for Numerical Methods
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Edexcel A Level Maths Pure 3 Revision Notes
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