Introduction
Content
Summation Sign

prerequisite

Exponential series & product sign
Factorial
nCr
nCr prove
nCr prove 2
nCr prove 3

Concept 1
Concept 2
DSE Binomial Theorem
Concept 3
Pascal's Triangle
General term 1
General term 2
General term training
(r+1)th term training
using (r+1)th term 1
using (r+1)th term 2
Question Type 1
Question Type 2
Question Type 3
Question Type 4
Question Type 5
Question Type 6
Question Type 7
Challenge question (trinomial)
Binomial Theorem proof
Expansion of e^(fraction)
((1-3x)^(3)) * (e^(0.25x))

Introduction
Content
Definition of e
prove of e^(x)
Law of indices for e
log vs ln
background theorem
Curve -> Straight line

Introduction
Differentiation content
Concept of limit
Rules of limit
Limit involving e
Concept of slope
Concept of differentiation 1
First principle 1
First principle - y=x^(n)
First principle - y=e^(x)
Concept of differentiation 2
Rules of differentiation
Product rule
Quotient rule
Chain rule
Quotient rule proof [by product rule]

Application of differentiation

Application of differentiation content
Tangent - Given point
Tangent - GIven slope
Tangent - External point
Rate of change
Special skills
vocabulary
Maximum & Minimum
Greatest & Least

Introduction
Integration content
Concept of integration
Basic integration rules
Integration by substituition
Questions : Simpliest type
Partial fraction
Reduction formula

Application of integration

Application of integration content 1
Application of integration content 2
Area
Trapezoidal rule

Introduction
Concept of Bayes' Theorem
Proof of P(A' or B) + P(A and B') = 1

Introduction
Properties of Normal Distribution
Concept of Normal Distribution

Introduction
Classification
Bernoulli & Binomial Distribution
Geometric & Poisson Distribution

Introduction
Review & intro
Finding the variance
Using the distributions to find mean & variance
Central Limit Theorem
Standard error
Converting the 4 distributions to Normal distribution
Confidence interval