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Course Content
Chapter 1: Algebraic Methods (10 Classes)
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Lesson-1.1: Introduction to Factoring Fractions: Basics and Simple Examples
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Lesson-1.2: Complex Factoring Fractions: Mixed Practice and Problem Solving
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Lesson-1.3: Understanding the Midpoint Formula: Concept and Simple Applications
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Lesson-1.4: Advanced Applications of the Midpoint Formula: Complex Problems
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Lesson-1.5: Introduction to the Distance Formula: Derivation and Basic Examples
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Lesson-1.6: Applying the Distance Formula: Advanced Problems and Real-world Applications
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Lesson-1.7: Basics of Algebraic Proofs: Introduction and Simple Proofs
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Lesson-1.8: Advanced Algebraic Proofs: Complex Proofs and Practice Problems
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Lesson-1.9: Introduction to Mathematical Induction: Concept and Simple Examples
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Lesson-1.10: Advanced Mathematical Induction: Complex Problems and Applications
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Chapter 2: Coordinate Geometry in the (x, y) Plane (8 Classes)
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Lesson-2.1: Exploring Midpoints and Perpendicular Bisectors
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Lesson-2.2: Standard Equation of a Circle: Derivation and Applications
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Lesson-2.3: Intersections of Straight Lines and Circles: Methods and Analysis
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Lesson-2.4: Tangent Properties of Circles: Concepts and Applications
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Lesson-2.5: Converting Between Standard and General Forms of a Circle
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Lesson-2.6: Solving Complex Intersection Problems in Coordinate Geometry
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Lesson-2.7: Understanding Chord Properties in Circles: Techniques and Examples
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Lesson-2.8: Exploring Geometric Properties of Circles and Triangles
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Chapter 3: Exponentials and Logarithms (8 Classes)
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Lesson-3.1: Introduction to Exponential Functions: Definition and Characteristics
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Lesson-3.2: Exploring Logarithms and Their Properties: Laws and Applications
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Lesson-3.3: Solving Equations Using Logarithms: Strategies and Examples
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Lesson-3.4: Changing the Base of a Logarithm: Techniques and Applications
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Lesson-3.5: Applications of Exponential and Logarithmic Functions in Real Life
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Lesson-3.6: Advanced Problems with Exponential and Logarithmic Functions: Challenges and Solutions
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Lesson-3.7: Review and Practice Session for Exponentials and Logarithms: Consolidating Learning
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Lesson-3.8: Mastery Test on Exponentials and Logarithms: Assessing Understanding
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Chapter 4: The Binomial Expansion (8 Classes)
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Lesson-4.1: Introduction to Pascal’s Triangle: Understanding Patterns
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Lesson-4.2: Exploring Factorial Notation: Definitions and Examples
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Lesson-4.3: Understanding the Binomial Expansion: Concepts and Applications
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Lesson-4.4: Applying the Binomial Theorem to Solve Problems
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Lesson-4.5: Solving Advanced Problems Using the Binomial Expansion
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Lesson-4.6: Binomial Expansion in Real-World Contexts: Examples and Applications
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Lesson-4.7: Review and Practice Session for Binomial Expansion: Consolidating Knowledge
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Lesson-4.8: Mastery Test on Binomial Expansion: Assessing Skills
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Chapter 5: Sequences and Series (10 Classes)
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Lesson-5.1: Introduction to Arithmetic Sequences: Understanding Patterns and Formulas
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Lesson-5.2: Exploring Arithmetic Series: Summation Techniques
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Lesson-5.3: Understanding Geometric Sequences: Definitions and Examples
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Lesson-5.4: Exploring Geometric Series: Summation Techniques and Applications
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Lesson-5.5: Calculating the Sum to Infinity: Concepts and Methods
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Lesson-5.6: Using Sigma Notation: Definitions and Examples
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Lesson-5.7: Applying Sigma Series Relations in Problem Solving
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Lesson-5.8: Understanding Recurrence Relations: Definitions and Examples
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Lesson-5.9: Modeling Real-World Problems Using Sequences and Series
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Lesson-5.10: Review and Practice Session for Sequences and Series: Consolidating Knowledge
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Chapter 6: Trigonometric Identities and Equations (10 Classes)
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Lesson-6.1: Understanding Angles in All Four Quadrants: Definitions and Examples
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Lesson-6.2: Exact Values of Trigonometric Ratios: Key Values and Applications
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Lesson-6.3: Exploring Basic Trigonometric Identities: Definitions and Examples
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Lesson-6.4: Solving Simple Trigonometric Equations: Techniques and Strategies
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Lesson-6.5: Solving Harder Trigonometric Equations: Advanced Techniques
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Lesson-6.6: Proving Trigonometric Identities: Methods and Examples
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Lesson-6.7: Solving Complex Trigonometric Equations: Examples and Strategies
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Lesson-6.8: Applications of Trigonometric Identities in Real-World Problems
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Lesson-6.9: Review and Practice Session for Trigonometric Identities and Equations: Consolidating Knowledge
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Lesson-6.10: Mastery Test on Trigonometric Identities and Equations: Assessing Skills
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Chapter 7: Differentiation (10 Classes)
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Lesson-7.1: Introduction to Differentiation: Understanding the Concept of Derivatives
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Lesson-7.2: Exploring Increasing and Decreasing Functions: Definitions and Examples
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Lesson-7.3: Identifying Stationary Points: Techniques and Applications
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Lesson-7.4: Sketching Gradient Functions: Methods and Strategies
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Lesson-7.5: Modeling Real-World Problems with Differentiation: Applications and Examples
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Lesson-7.6: Solving Advanced Differentiation Problems: Challenges and Solutions
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Lesson-7.7: Exploring Tangents and Normals: Definitions and Applications
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Lesson-7.8: Applying Differentiation to Curve Sketching: Techniques and Examples
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Lesson-7.9: Review and Practice Session for Differentiation: Consolidating Knowledge
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Lesson-7.10: Mastery Test on Differentiation: Assessing Skills
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Chapter 8: Integration (10 Classes)
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Lesson-8.1: Introduction to Integration: Understanding the Concept of Integrals
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Lesson-8.2: Finding Definite Integrals: Techniques and Applications
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Lesson-8.3: Calculating Areas Under Curves: Methods and Examples
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Lesson-8.4: Exploring Areas Under the x-Axis: Definitions and Applications
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Lesson-8.5: Finding Areas Between Curves and Lines: Techniques and Examples
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Lesson-8.6: Calculating Areas Between Two Curves: Methods and Applications
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Lesson-8.7: Understanding the Trapezium Rule: Definitions and Examples
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Lesson-8.8: Applying Integration to Real-World Problems: Examples and Strategies
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Lesson-8.9: Review and Practice Session for Integration: Consolidating Knowledge
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Lesson-8.10: Mastery Test on Integration: Assessing Skills
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Edexcel A Level Maths Pure 2 Revision Notes
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