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Additional Maths (4037)
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Full Summary Notes
Simultaneous Equation
2 Simultaneous Linear Equations (12:40)
Non-Linear Equations (13:50)
Exercise Question (2 Simultaneous Linear Equations)
Exercise Question (Non-Linear Equations)
Word Problem Exercise
Function
Introduction to Function (15:10)
Domain and Range (15:30)
How to find Domain and Range using graph? (2:34)
Modulus/Absolute Function (6:45)
How to sketch Modulus/Absolute Function (5:48)
Composite Function (4:32)
Inverse Function (9:43)
Full Function Class Recording (Exclusive Content) (47:25)
Quadratic Function
Solving for Quadratic Simultaneous Equations (12:06)
Minimum and Maximum Points (9:40)
Completing Square (10:23)
Modulus Quadratic Equation/Functions (8:25)
Quadratic Inequalities (9:04)
Introduction to Discriminant (6:32)
Solving Quadratic Equation using Quadratic Formula (13:43)
Discriminant to find the nature of roots (4:00)
Quadratic Factorization
Method #1 - Multiplication Frame (8:41)
Method #2 - Cross Factorization (6:48)
Method #3 - Double Bracket (7:54)
Method #4 - Split the Middle Term (5:31)
Completing Square
How to Convert Quadratic into Completing Square Form (14:49)
How to Identify the Nature of the Turning Point? (Maximum or Minimum Point) (6:34)
How to Identify the Coordinate of the Turning Point? (14:32)
How to Identify the Range of the Turning Point? (9:41)
How to solve using Completing Square (7:38)
Polynomials
How to add, subtract and multiply polynomials (9:42)
Long Division/Dividing polynomials (4:54)
Factor Theorem (7:12)
How to factorize Polynomial (Factor Theorem) (14:13)
How to factorize Cubic Expression (5:39)
Remainder Theorem (8:33)
How to solve Double Modulus Function (9:54)
Modulus Inequalities (8:47)
How to solve Double Modulus Inequalities (3:37)
Solve Complex Polynomial Functions (3:36)
Binomial Expansion
Introduction to Binomial Expansion (14:45)
Binomial Expansion with Multiplication (6:46)
Finding nth Term in Binomial Expansion (10:23)
More complex Binomial Expansion Exercise (11:22)
Binomial Expansion Exam Revision (49:58)
Logarithmic and Exponential Functions
Introduction to Logarithmic Function (8:32)
3 Rules of Logarithm (5:18)
How to change the base of Logarithm (6:46)
How to solve Logarithm Function (5:40)
How to solve Exponential Function (3:42)
Solving a more complex Exponential Function (5:15)
Past Year Paper Question Type 1 (Substitution) (31:46)
Past Year Paper Question Type 2 (Simultaneous Equation) (8:28)
Past Year Paper Question Type 3 (Solving unknown) (6:15)
Coordinate Geometry
Length of the Line (3:54)
Midpoint (2:42)
Solving Coordinate Geometry (7:42)
Parallel and Perpendicular (9:55)
Solving Coordinate Geometry (4:58)
Perpendicular Bisector (8:13)
Circular Measure
Introduction to Radian (Additional Maths) (6:36)
Length of an arc (5:05)
Area of a sector (2:16)
Circle Geometry (5:52)
(1) Example Questions in Circular Measure (3:51)
(2) Example Questions in Circular Measure (4:19)
Trigonometric Function
Trigonometric Ratio (7:12)
How to use the 4 Quadrant? (8:49)
Graph of SinX, CosX and TanX (4:59)
Sketching the trigonometric Function (12:38)
Sketching modulus trigonometric Function (5:51)
Trigonometric Identities (5:05)
Solving Further Trigonometric Function (25:45)
Proving Trigonometric Identities (Exercises) (9:50)
Solving Trigonometric Identities (17:55)
Further Proving Trigonometric Identities (Record Class) (81:06)
Solving Trigonometric Equation with Radian Angle (6:42)
Solution of Triangle
4 Formula to Memorize in Solution of Triangle (8:51)
Example (1) (19:03)
Example (2) (14:10)
Example (3) (18:04)
Indices and Surds
Law of Indices (9:59)
Simplifying Indices Expression (4:32)
Solving Indices Equation (4:56)
Surds and its Rules (9:06)
Rationalizing Surds (9:49)
Solving Equation using Indices (Comparing Method) (18:43)
Simultaneous Indices Equation (Exam Question) (7:37)
Simplifying and Solving Indices (Exam Question) (13:42)
Indices in the context of Mensuration (Exam Question) (11:51)
Indices in the context of Quadratic Equation (11:20)
Indices Exam Question (107:23)
Straight-Line Graph
Introduction to Straight Line Graph (70:33)
Modulus Function
Introduction to Modulus Function (69:23)
Solving Modulus (Past Year Paper Question) (63:31)
Permutation and Combination
Introduction to Permutation and Combination
Factorials (5:43)
Arrangements (4:31)
Permutations (3:19)
Combinations (4:21)
Partial Fraction
Partial Fraction for Proper Fraction with Linear Denominator (32:55)
Partial Fraction for Proper Fraction with Repeated Linear Denominator (25:29)
Differentiation
Basic Differentiation (7:52)
Constant Multiplication Rule (7:01)
Sum and Difference Rule (8:08)
Quotient Rule (Introduction and How to use) (55:53)
Differentiation Trigonometry (6:54)
Application of Differentiation
Finding Gradient at a point in a curve (5:38)
Finding Maximum and Minimum Point (7:07)
How to find Velocity Equation (10:55)
Rate of Change and Connected Rate of Change (12:09)
2023 Exam Revision Part 2 (Advanced Application) (90:12)
Integration
Introduction: Integration as the reverse process of differentiation (7:51)
Integrate functions of the form (ax + b)^n (6:42)
Application of Definite Integrals: Plane Area by Integration (6:46)
Application of Integration
Application of Integration - Finding Area under the Curve (7:56)
Application of Integration - Area bounder by a curve and a line (4:16)
Application of integration - Finding equation (3:20)
Vector in Two Dimension
Vector in two dimension Exam Revision (93:28)
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How to sketch Modulus/Absolute Function
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