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Course Content
Chapter 1: Proof (1 Class)
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Lesson-1.1: Understanding and Applying Proof by Contradiction
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Chapter 2: Partial Fractions (3 Classes)
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Lesson-2.1: Introduction to Partial Fractions: Basic Techniques
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Lesson-2.2: Working with Repeated Factors in Partial Fractions
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Lesson-2.3: Decomposing Improper Fractions into Partial Fractions
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Chapter 3: Coordinate Geometry in the (x, y) Plane (3 Classes)
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Lesson-3.1: Parametric Equations: Definitions and Applications
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Lesson-2.2: Utilizing Trigonometric Identities in Coordinate Geometry
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Lesson-2.3: Curve Sketching with Parametric Equations
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Chapter 4: Binomial Expansion (3 Classes)
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Lesson-4.1: Expanding Binomials of the Form ( 1 + 𝑥 )^𝑛
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Lesson-4.2: Expanding Binomials of the Form (a+bx)^n
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Lesson-4.3: Applying Binomial Expansion to Partial Fractions
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Chapter 5: Differentiation (3 Classes)
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Lesson-5.1: Differentiating Parametric Equations: Techniques and Examples
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Lesson-5.2: Implicit Differentiation: Understanding and Applications
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Lesson-5.3: Analyzing Rates of Change in Various Contexts
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Chapter 6: Integration (7 Classes)
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Lesson-6.1: Finding the Area Under a Parametrically Defined Curve
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Lesson-6.2: Calculating Volumes of Revolution Around the X-Axis
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Lesson-6.3: Integration by Substitution: Methods and Examples
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Lesson-6.4: Integration by Parts: Step-by-Step Techniques
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Lesson-6.5: Applying Integration to Partial Fractions
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Lesson-6.6: Solving Differential Equations: Methods and Applications
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Lesson-6.7: Modelling Real-World Scenarios with Differential Equations
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Chapter 7: Vectors (11 Classes)
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Lesson-7.1: Introduction to Vectors: Definitions and Basic Concepts
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Lesson-7.2: Representing Vectors in Different Forms
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Lesson-7.3: Calculating Magnitude and Direction of Vectors
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Lesson-7.4: Working with Vectors in 3D: Definitions and Examples
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Lesson-7.5: Solving Geometric Problems in Two Dimensions with Vectors
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Lesson-7.6: Solving Geometric Problems in Three Dimensions with Vectors
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Lesson-7.7: Understanding and Using Position Vectors
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Lesson-7.8: Working with 3D Coordinates in Vector Problems
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Lesson-7.9: Equation of a Line in Three Dimensions: Derivation and Applications
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Lesson-7.10: Finding Points of Intersection in 3D Space
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Lesson-7.11: Calculating the Scalar Product of Vectors and Its Applications
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Edexcel A Level Maths Pure 4 Revision Notes
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