DSE 101 | M2

HermanYeung DSE M2 Intensive final notes
Introduction
odd and even functions
MI introduciton Summation Logic of MI & Question Type 1 Question Type 2 Question Type 3
Binomial theorem introduciton nCr review Pascal's triangle Binomial Theorem Program Binomial Theorem Program practice genreal term Training Question Type I Question Type II Question Type III Question Type IV Question Type V Proving Binomial Theorem by MI
Trigonometry Introduction General formulae Sum formula Product formula Double angle formula Compound angle formula MI X Compound angle
e & limit introduction first principle 1 first principle 2
Differentiation introduction Differentiation Rule of defferentiation 2nd derivative
App. of dy/dx Tangent Tangent Type 2 questions Tangent Type 3 questions Rate of change Maximum, minimum Curve sketching introduction Curve sketching demo 1 Curve sketching demo 2 Curve sketching demo 3
Integration integration reduction formula Integration by substitution Integration by part integration of (sinx)^m * (cosx)^n
App of Integration Area Volume
Matrix & Determinant introduction Matrix + - × Matrix ÷
System of linear equation System of linear equation Gaussian Elimination [ ENG } Cramer's Rule [ ENG ]
Vector 2D vector 1 2D vector 2 3D Vector 1 3D Vector 2 ixj, jxi, ixk, kxi, jxk, kxj training 1 Cross Product Calculator Program training 2 training 3 training 4 training 5 training 6

HermanYeung DSE M2 Regular All-in-one Note Final.pdf

Introduction
summation Σ
MI type 1 : Simple
MI type 2 : Fraction
MI type 3 : Difference
MI type 4 : Sequence
MI type 5 : binomial
MI type 6 : Trigonometry
MI type 7 : Application

Introduction
Content
Definition of limit
Definition of e
Proving definition of e (by binomial theorem)
Proving definition of e (by MI)
Law of indices for e
"expanding e" quesiton 1
"expanding e" quesiton 2
Limit question 1 about e ***
Limit question 2 about e ***
Limit question 3 about e ***
Definition of natural log
Solving equations related to e
Concept of limit
Rule of Limit
Trigonometry remider
limit involving trigonometry
Limit involving e
Solving limit questions
Concept of slope
Slope of tangent
finding slope of a curve
First principle

Tangent & Normal
Rate of Change
Maximum & Minimum
Curve Sketching

Introduction
Content
Concept of integration
Rules of indefinite integrals 1
Question Type 1 : Reverse process
Rules of indefinite integrals 2
Rules of indefinite integrals 3
Question Type 2: Produced from None
Question Type 3: Partial Fraction
Partial fraction "cover-up" method [ENG]
Question Type 4: Use of Trigonometry
Question Type 5: Reduction Formula
Integration by substituition
Integration by substitution with Trigonometry
Maths & Stat questions
Integration by part

Introduction
Content
Area
Volume

Introduction
Concept of Matrix
3X3 determinant Program
2X2 Matrix Multiplication Program
3X3 Matrix Multiplication Program
3X3 Matrix Inverse Progam
Diagonal matrix & Transpose
Matrix Multiplicaiton
Matrix vs Determinant
Determinant Calculation
2X2 Determinant Practice
(2X2 Determinant)^ Practice
3X3 Determinant Practice
Properties of Determinant
Factorization of determinant
Matrix + - × ÷ (1)
Matrix + - × ÷ (2)
Inverse of matrix
Power of n

Introduction
Concept 1
Concept 2
Diagram
Gaussian Elimination [ENG]
Cramer's Rule [ENG]

Introduction
2D
3D