Ms Betty graduated from the University of Southampton, UK in 2016 with a first-class degree honors in BSc Mathematics with Actuarial Science. Prior to her journey in the UK, she scored straight A’s in her SPM exam and also straight A’s in STPM exam Mathematics T (A), Chemistry (A), Physics (A-). She has experience in teaching PT3 & SPM Mathematics and Additional Mathematics, and STPM Mathematics T for 5 years.
From the course details, you can find more detailed information.
Chapter 1: 1.1 Functions
- Graphs of linear, quadratic and cubic-functions
- Functions, Inverse Functions, Composite Functions
- Increasing Functions and Decreasing Functions
Chapter 1: 1.1 Functions
- Graphs of rational functions (Eg: y=a/x)
- Functions, Inverse Functions, Composite Functions
- Domain and range
Chapter 1: 1.1 Functions (Exercise)
Chapter 1: 1.2 Polynomial and Rational Functions
- Partial Fractions
Chapter 1: 1.2 Polynomial and Rational Functions
- Partial Fractions
- Polynomial and Rational Inequalities
Chapter 1: 1.2 Polynomial and Rational Functions
- Polynomial and Rational Inequalities
Chapter 1: 1.2 Polynomial and Rational Functions
- Polynomial and Rational Inequalities (exercise)
Chapter 1: 1.3 Exponential and Logarithmic Functions
- Graph of exponential and logarithm
Chapter 1: 1.3 Exponential and Logarithmic Functions
- Equations and inequalities involving exponential and logarithmic expression.
Chapter 1.4 Trigonometric Functions
- Trigonometric Ratios
- Graph of sin, cos, tan
- Basic Identities
- The compound angle formulae
- Sums and differences of sines and of cosines
Chapter 1.4 Trigonometric Functions
- Equations in the form a cos x + b sin x = c
Chapter 1.4 Trigonometric Functions
- Trigonometric Inequalities
Question 49 and Question 54
Chapter 1.4 Trigonometric Functions
- Trigonometric Inequalities
Question 51: 0:00
Question 52: 3:10
Question 53: 13:09
Question 55: 22:09
Question 56: 26:30
Question 57: 32:06
Question 58: 36:30
Chapter 1 Revision
Chapter 2: 2.1 Sequences
- Explicit Formula
- Recursive Formula
- Convergent Sequence
- Divergent Sequence
Chapter 2: 2.2 Series
- Sigma Notation
- Arithmetic Progression
- Geometric Progression
Chapter 2: 2.2 Series
- Arithmetic Progression
- Geometric Progression
- Summation of Finite Series - Method of Differences
Chapter 2: 2.2 Series
- Method of Differences
Chapter 2: 2.3 Binomial Expansions
- The n! notation
- The Binomial Theorem
Chapter 2: 2.3 Binomial Expansions
Chapter 3: 3.1 Matrices
- Types of Matrices
- Transpose of a Matrices
- Equality of Matrices
- Operations on Matrices
- Properties of Matrix Operation
- Inverse Matrices
Chapter 3: 3.1 Matrices
- Inverse Matrices
Chapter 3: 3.2 Determinants
- Determinant of 2x2 Matrix
- Determinant of 3x3 Matrix
- Properties of Determinants
Chapter 3: 3.3 System of Linear Equations
- Gaussian Elimination
- Finding the Unique Solution Using the Inverse Matrix
Chapter 4: 4.1 Complex Numbers in Cartesian Form
- Complex Number: a+bi
- Elementary Operations on Complex Numbers
- Equality of Complex Numbers
- Complex Roots of a Polynomial Equation
Chapter 4: 4.2 Complex Numbers in Polar Form
- Argand Diagram, Modulus and Argument
- Multiplication and Division of Complex Numbers in Polar Form
- Powers and Roots of Complex Numbers
Chapter 4: 4.2 Complex Numbers in Polar Form
- Multiplication and Division of Complex Numbers in Polar Form
- Powers and Roots of Complex Numbers
Chapter 4: 4.2 Complex Numbers in Polar Form
- The nth roots of a complex number
Chapter 5: 5.1 Loci and Equations
Chapter 5: 5.2 Parabolas
Chapter 5: 5.2 Parabolas
Chapter 5: 5.3 Circles and Ellipse
Chapter 5: 5.3 Circles and Ellipse
Chapter 5: 5.4 Hyperbolas
Chapter 6: 6.1 Vectors
6.1.1 Unit Vectors and Position Vectors
6.1.2 Operation on Vectors
6.1.3 Properties of Vector Operations
6.1.4 Scalar Product
6.1.5 Vector Product
Chapter 7: Limits and Continuity
7.1 Limits
7.1.1 The Limit of a Function
7.1.2 The properties of Limits
Chapter 7: Limits and Continuity
7.2 Continuity
7.2.1 Continuity of a Function at a Point
Chapter 7: Limits and Continuity
7.2 Continuity
7.2.2 Continuity of a Function on an Interval
Chapter 7: Limits and Continuity
7.2 Continuity
7.2.3 Intermediate Value Theorem (IVT)
Chapter 7: Limits and Continuity
7.1 Limits
Chapter 7: Limits and Continuity
7.1 Limits
7.2 Continuity
Chapter 8: Differentiation
8.1 Derivatives
8.2 Rules of Differentiation
Chapter 8: Differentiation
8.1 Derivatives
8.2 Rules of Differentiation
Chapter 8: Differentiation
8.1 Derivatives
8.2 Rules of Differentiation
Chapter 8: Differentiation
8.2 Rules of Differentiation
Chapter 8: Differentiation
8.3 Implicit and Parametric Differentiation
Chapter 8: Differentiation
8.3 Implicit and Parametric Differentiation
8.4 Applications of Differentiation
Chapter 8: Differentiation
8.4 Applications of Differentiation
8.4.1 Increasing and Decreasing Functions
Chapter 8: Differentiation
8.4 Applications of Differentiation
8.4.2 Concavity of the Graph of Functions
Chapter 8: Differentiation
8.4 Applications of Differentiation
8.4.3 Stationary Points
Chapter 8: Differentiation
8.4 Applications of Differentiation
Chapter 8: Differentiation
8.4 Applications of Differentiation
8.4.3 Graph Sketching
Chapter 8: Differentiation
8.4 Applications of Differentiation
Chapter 8: Differentiation
8.4 Applications of Differentiation
Chaper 9: Integration
9.1 Indefinite Integrals
Chaper 9: Integration
9.1 Indefinite Integrals
Chaper 9: Integration
9.1 Indefinite Integrals
Chaper 9: Integration
9.1 Indefinite Integrals
Chaper 9: Integration
9.2 Techniques of Integration
Chaper 9: Integration
9.2 Techniques of Integration
Chaper 9: Integration
9.2 Techniques of Integration
Chaper 9: Integration
9.2 Techniques of Integration
Chaper 9: Integration
9.3 The Definite Integral
Chaper 9: Integration
9.4 Application of Integrations
Chaper 9: Integration
9.4 Application of Integrations
Chaper 9: Integration
9.2 Techniques of Integration
9.3 The Definite Integral
Chaper 9: Integration
9.4 Application of Integrations
9.4.1 Area under a Curve
9.4.2 Volumes of Revolutions
Chapter 10: Differential Equation
10.1 First Order Differential Equations with Separable Variables
Chapter 10: Differential Equation
10.1 First Order Differential Equations with Separable Variables
Chapter 10: Differential Equation
10.2 First Order Linear Differential Equations
Chapter 10: Differential Equation
10.3 Transformation of Differential Equations
Chapter 10: Differential Equation
10.2 First Order Linear Differential Equations
10.3 Transformation of Differential Equations
Chapter 10: Differential Equation
10.3 Transformation of Differential Equations
10.4 Applications of Differnetial Equations
Chapter 10: Differential Equation
10.4 Applications of Differnetial Equations
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