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H2 Mathematics (JC) - Pure Maths
Chap 1 - Review of Basic Concepts
Partial Fractions - Cover Up Rule (9:56)
Chap 2 - Graph Transformation (Updated) Lesson 1
Transformations Recap (4:20)
Scaling (5:40)
Worked Example 1 (6:25)
Worked Example 2 (6:01)
Reflection (3:11)
Worked Examples 3 and 4 (7:00)
Summary of Direct vs Substitution (2:46)
Quiz (15:03)
Sequence of Transformations (7:55)
Worked Examples 5 and 6 (23:13)
Worked Example 7 (22:30)
Chap 2 - Graph Transformation (Updated) Lesson 2
Transformations Recap (9:46)
Worked Example 1 (14:19)
Worked Example 2 (20:02)
Worked Examples 3 (13:26)
Worked Example 4 (7:31)
Worked Example 5 (40:06)
Chap 2 - Graph Transformation (Updated) Lesson 3
Worked Example 1 (1:26)
Transformations Recap (7:01)
Worked Example 1 (Cont.) (8:52)
Reciprocal Functions (18:37)
Worked Example 2 (12:23)
Worked Example 3 (5:17)
Worked Example 4 (17:25)
Modulus Functions (10:16)
Worked Example 5 (4:39)
Worked Example 6 (2:55)
Differential Transformations (6:31)
Worked Example 7 (9:57)
Chap 2 - Graphs and Transformations
GC work; Graph Sketching; Piecewise Defined Functions (94:35)
Odd & Even Functions; Periodic Functions; Conics (Ellipse) (120:59)
Conics (Hyperbolas), Rational Functions (117:51)
Parametric Eqns, Transformations (115:27)
Reciprocal & Modulus Graphs (110:56)
Chap 3 - Functions (Updated)
Functions Intro (19:28)
Worked Example 1 (3:30)
Domain and Range of Functions (15:56)
Worked Example 2 (25:41)
One-One Functions (12:01)
Inverse Functions (16:45)
Chap 3 - Functions
Inequalities (Graphs); Functions - Inverse & Composite (115:23)
Functions - Self-Inverse, Misc Examples (111:33)
Chap 4 - Equations & Inequalities
Recap on Transformation, System of Linear Eqns and Intro to Inequalities (114:20)
Inequalities - Sign Test, Discriminant, Modulus (118:51)
Chap 5 - Vectors
O level Recap + Ratio Theorem
Dot & Cross Product
Applications of Dot & Cross Product; Eqns of Lines; Relationship Between Point & Line
Relationship Between 2 Lines; Eqn of Planes
Relationship between Point & Plane, Line & Plane, 2 Planes
Application Qns; Geometrical Interpretation Qns
Chap 6 - Sequences & Series (Updated) Lesson 1
Sequences Recap and APGP Intro (13:28)
Worked Example 1 (8:04)
Worked Example 2 (6:54)
Intro to Series (8:49)
Worked Example 3 (13:13)
Worked Example 4 (2:33)
Worked Example 5 (12:40)
AP Tests and Worked Example 6 (9:54)
Worked Example 7 (10:41)
Intro to GPs (19:00)
Chap 6 - Sequences & Series (Updated) Lesson 2
APGP Recap (5:50)
Worked Example 1 (12:27)
Worked Example 2 (10:27)
Worked Example 3 (14:39)
Worked Example 4 (7:23)
Worked Example 5 (9:24)
Worked Example 6 (20:02)
Worked Example 7 (28:37)
Chap 6 - Sequences & Series
AP / GP (Part I) (113:09)
AP / GP (Part II) (117:49)
Sigma Notation (108:05)
Method of Differences (81:22)
Chap 7 - Techniques of Differentiation
Recap of O level Differentiation (40:12)
Implicit Differentiation and Derivative of a^x (28:09)
Logarithmic, Inverse Trig (Part 1) (19:23)
Inverse Trig (Part II), Parametric Diff (14:08)
Evaluating Derivatives (GC), Higher Order Derivatives (Part I) (11:20)
Higher Order Derivatives (Part II), Limits (12:50)
Graphs of f'(x) (19:20)
Chap 8 - Applications of Differentiation
Increasing/Decreasing Functions; Maxima/Minima
Tangents & Normals; Rate of Change
Chap 9 - Maclaurin's Series
Binomial Expansion (75:17)
Maclaurin's Series (Derivation) (10:29)
Maclaurin's Series (Repeated Differentiation & Standard Series) (105:00)
Small Angle Approximation (99:58)
Chap 10 - Techniques of Integration
Recap of O level Integration
Reverse Chain Rule
Integration - Inverse Trig, Partial Fractions
Integration by Partial Frac, Integration by Subst, Integration by Parts (112:48)
Chap 11 - Applications of Integration
Definite Integrals (40:19)
Area bounded by the x & y axes, Area bounded by two curves (97:39)
Definite Integral as a Limit of Sum (109:26)
Definite Integral as a Limit of Sum (Part II); Vol. of Revolution (117:40)
Vol. of Revolution (Part II) (45:51)
Chap 12 - Differential Equations
Introduction (15:00)
Variable Separable, Substitution, Mathematical Modelling (104:28)
Mathematical Modelling (Part II) (33:23)
Chap 13 - Complex Numbers
Introduction (62:30)
Fundamental Theorem of Algebra & Conjugate Root Theorem (111:53)
Argand Diagram & Trigo Form (113:23)
Trigo Form (Questions) (114:59)
Exponential Form (114:15)
Exponential Form (Part II) (27:18)
Chap 15 - Probability / Permutations and Combinations
Conditional Probability (8:25)
Worked Example 1 (16:13)
Worked Example 2 (16:34)
Worked Example 3 (4:50)
Worked Example 4 (12:50)
Worked Example 5 (18:52)
Worked Example 6 (3:44)
Worked Example 7 (12:02)
Worked Example 8 (4:54)
Worked Example 9 (PnC) (2:17)
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Inequalities - Sign Test, Discriminant, Modulus
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