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Mathematics AS Level (9079)
Quadratic
How to solve Quadratic Equations by Factorizing (7:44)
How to convert Quadratic Equation into Completing Square (7:29)
How to solve using completing Square (5:42)
How to solve using Quadratic Formula (4:49)
How to find the inverse of a Quadratic Function (5:16)
Solving complex quadratic Equation in multiple form (4:28)
Understanding Discriminannt (4:00)
Quadratic Equation (Accelerator Class) (33:04)
Application of Discriminant in identifying number of roots (3:16)
Further example of Discriminant Question (2:57)
Function
Function (Accelerator Class) (38:29)
Understanding Mapping (11:11)
How to find an Inverse Function (6:11)
What is a Composite Function (6:08)
Part 1 - Transformation (Translation) (2:19)
Part 2 - Transformation (Reflection) (2:15)
Part 3 - Transformation (Stretches) (2:52)
Coordinate Geometry
Coordinate Geometry (Accelerator Class) (47:33)
Introduction to Coordinate Geometry (117:05)
Midpoint, Gradient and Length of a Line Segment (5:14)
Two line segment that are parallel (2:31)
Two line segment that are perpendicular of each other (1:39)
Finding the equation of the line (2:48)
Circular Measure
Circular Measure (Accelerator Class) (40:03)
Introduction to Circular Measure (Repeat Class) (103:08)
Introduction to Radians (7:56)
How to find Arc Length (4:47)
How to find Sector Area (5:08)
Further Problems involving Arcs and Sectors (5:52)
(1) Example Questions on Circular Measure (3:51)
(2) Example Questions on Circular Measure (4:19)
Trigonometry
Exact Value of Trigonometric Function (9:47)
Binomial Expansion
Binomial Notation (8:23)
Binomial Expansion (9:42)
Introduction to Binomial Expansion (14:45)
Finding nth Term in Binomial Expansion (10:23)
Binomial Expansion with Multiplication (6:46)
More complex Binomial Expansion Exercise (11:22)
Series
Arithmetic Progression (113:12)
Geometric Progression (110:58)
Differentiation
Introduction to Differentiation (116:31)
Further Differentiation (Repeat Class) (103:30)
Product Rule and Quotient Rule (66:02)
Polynomial Differentiation (110:18)
Differentiation of Trigonometry and Chain Rule (6:54)
Application of Differentiation
Finding the gradient of a tangent at a point on a curve (5:38)
Finding Minimum and Maximum Point (Quadratic) (7:07)
Finding Speed & Velocity (10:55)
Rate of Change and Connected Rate of Change (12:09)
Integration
Introduction to Integration: A reverse of Differentiation (7:51)
Finding the constant of Integration (3:20)
Integrate Linear Expressions that have been raised to a power (6:42)
Definite Integrals (6:46)
Finding Area under the curve using Definite Integrals (7:56)
Find the area between two curves or a curve and a line (4:16)
Measures of Location and Spread
Averages (Mean, Median and Mode) for Discrete Data (9:07)
Averages (Mean, Median and Mode) for Frequency Table (7:56)
Averages (Mean, Median and Mode) for Grouped Frequency Table (7:29)
Introduction to Variance and Standard Deviation (19:05)
Representation of Data
Introduction to Stem and Leaf (11:15)
Stem and Leaf Exercises (95:13)
Introduction to Box plot/Box and Whiskers (4:27)
Comparing Box Plot (5:30)
Box and Whiskers Exercise (45:52)
Histogram (10:54)
Permutation and Combination
Understanding Factorials (5:43)
Permutation (17:06)
Permutation of r items taken from n, NPR (6:22)
Permutation where letters are repeated in a word (7:26)
Permutation with restrictions - Items stay together (6:33)
Permutation where items are restricted to the ends (7:19)
Permutations with restrictions-items not together (10:48)
Introduction to Combinations (11:43)
Combination, nCr (4:57)
Combination-Further Methods (6:34)
Probability using permutations and combinations (6:43)
Probability (P&C) Example Question (17:44)
Probability
Basic Concept of Probability and Notation (6:41)
Probability Calculation using Venn Diagram (4:03)
Finding Missing Probability (5:16)
Drawing a Venn Diagram from Probability Given (2:23)
3 Circle Venn Diagram Probability Problem (2:56)
More example for Venn Diagram Problem (4:28)
Understanding "Independent" and "Mutually Exclusive" (4:15)
Determining whether two events are Independent or not (2:32)
Finding Probability "with" or "without" Replacement (4:19)
Picking Three at Random (4:40)
Finding Probability using Tree Diagram (3:04)
Discrete Random Variable
Discrete Random Variable (Accelerator) (34:15)
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Polynomial Differentiation
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