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A-Level Maths Course
Binomials
Binomials (39:59)
Circles
Circle Theorems (7:30)
Equations of Circles (8:11)
The Intersections Between Straight Lines and Circles (8:39)
Using Equations of Circles (3:44)
Curve Sketching
Negative Index Curves (6:04)
Turning Points In Curve Sketching (8:37)
Examples of Proofs
Counter-examples In Disproof (8:28)
Proof by Exhaustion (10:55)
Graph Sketching and Transformations
Introducing Graph Transformations (9:58)
Graphing Quadratic Equations
Completing the Square (10:36)
Graphing Quadratic Equations (8:34)
Indices
Index Notation (5:40)
Negative Indices and Index Rules (11:50)
Inequalities
Introduction to Inequalities (4:19)
Graphical Inequalities (10:06)
Inequalities and Set Notation (9:42)
Solving Quadratic Inequalities (8:09)
Introduction to Proofs
The Structure of Mathematical Proof (12:30)
Common Proof Errors (10:47)
Notation for Sets of Numbers (7:58)
Proof by Deduction (10:05)
Polynomials
Introduction to Polynomials (8:30)
Factor Theorem (7:29)
Polynomial Factorisation (8:19)
Polynomial Long Division (8:45)
Sketching Polynomials (9:29)
Proportional Relationships
Proportionality (5:24)
Simultaneous Equations
Solving Simultaneous Equations by Eliminating Variables (5:15)
Solving Simultaneous Equations by Substitution (7:16)
Solving Equations Graphically (7:21)
Surds and Rationalising Denominators (9:34)
Solving Quadratic Equations
Solving Quadratic Equations (13:13)
Discriminant (8:16)
Straight Line Graphs
Modelling Using Straight Line Graphs (3:56)
Parallel and Perpendicular Lines (11:01)
Straight Lines
Distance Between Two Points (1:40)
Finding Equations of Lines (4:02)
Gradients (4:51)
Midpoint Between Two Points (2:48)
Surds
Introduction to Surds (5:56)
Surds and Rationalising Denominators (9:27)
Area of a Triangle
Area of a Triangle (6:20)
Trigonometry
Trigonometry Basics (12:24)
Sin, Cos & Tan Graphs (14:40)
Vaues of Sin, Cos & Tan (13:53)
Symmetry of Sin, Cos & Tan (6:11)
Trigonometric Identities (4:25)
Solving Trigonometric Equations (18:27)
Sine Cosine Rule (19:52)
Exponentials
Introduction to Exponential Functions (8:32)
Rules of Exponents (Power Rules) (6:44)
Logarithms
Introduction to Logarithms (11:02)
Natural Logarithms (7:12)
Laws of Logarithms (16:37)
Solving Exponential Equations (10:35)
Graphs of Logarithm Functions (4:25)
Modelling with Exponentials (19:29)
Differentiation
Introduction to Differentiation (9:40)
Differentiation from First Principles (8:09)
Rules for Differentiation (8:49)
Increasing/Decreasing Functions (7:15)
Tangents & Normals (6:56)
Second Derivative (5:01)
Stationary Points and Constrained Optimisation (19:49)
Integration
Introduction to Integration (4:41)
Integrating Power Functions (4:01)
Definite Integration (5:48)
Signed Area Under the Curve (15:41)
New Lesson
Vectors
Vectors in Two Dimensions (6:44)
Properties of Vectors (3:07)
Finding Magnitude & Direction (6:37)
Vector Operations (6:18)
Equal & Parallel Vectors (6:31)
Position & Displacement Vectors (6:40)
Vectors & Geometry (10:54)
Modelling with Vectors (7:12)
Binomials
Complete and Continue