# H1 Maths | H2 Maths | JC Math Tuition

JC Math Tuition at APM Tuition is designed to help students manage and adjust to the intensity of pre-tertiary level mathematics. Our H1 and H2 Maths tuition are unique and powerful with curriculums that cover relevant topics and equip the student with the ability to map knowledge of different topics to excel in examination conditions. Focus will also be placed on new trend questions involving the application of knowledge to real-world issues.

With a small class size max 8, we ensure that every student attending our H2 Maths Tuition receives dedicated attention. We champion consistency and active learning in students, equipping them with the skills and wits to carve out their edge and eventually Ace the A Level Examination.

Our JC Math lessons are customized to cater to different students’ needs. Students will receive tutorials aligned with their school syllabus to ensure a complete reinforcement of concepts and ample practice. Our notes, tutorials, and practice papers are constantly updated with current questions to ensure students are equipped with the necessary skills and knowledge. Each set of notes and tutorials helps students develop fundamental techniques to solve routine questions, apply complex concepts and hone critical reasoning skills for tackling nonroutine problems that include real-world contexts.

Practice tests and mock practice papers that mirror actual examination conditions help give students the practice and confidence needed to ace their examinations. Revision packages are provided to help students consolidate their knowledge, review the typical questions for each topic and gain awareness to avoid and correct common mistakes through error analysis practices.

## JC Math Tuition Curriculum

### Functions and Graphs

- Function, Domain and Range
- Inverse and Composite Functions
- Graphs sketching and Transformation
- Equation and Inequalities
- Use of GC for graphs and solving equations

### Sequences and Series

- Sum and Difference of 2 Series
- Convergence and Sum to infinity
- Arithmetic and Geometric Series

### Vectors

- Scalar Product
- Collinearity
- Ratio Theorem
- Vector Product
- Vector Equation of Line
- Vector Equation of Plane

### Complex Numbers

- Complex Number Operations
- Argand Diagram
- Polar Form (Modulus and Argument)

### Calculus

- Graph of first derivative
- Stationary Points
- Local Maxima and Minima
- Tangent and Normal
- Maclaurin Series
- Integration by substitution
- Integration by Parts
- Definite Integrals
- Area and Volume by Integrations
- Definite integrals using Graphical Calculator
- Differential equation

### Probability and Statistics

- Permutation and Combination
- Probability Laws
- Conditional Probability
- Mutual Exclusive Events
- Independent Events
- Discrete Random Variable
- Binomial Distribution
- Expectation and Variances
- Normal Distribution
- E(aX+b) and Var(aX+b). E(aX+bY) and Var(aX+bY)
- Sampling Theory
- Sample Mean
- Central Limit Theorem
- Unbiased Estimates of Population Mean and Variance
- Hypothesis Testing
- Correlation and Linear Regression
- Product-Moment Correlation Coefficient
- Linear Regression and Method of the least squares
- Predictions or Estimation using Regression Line

## JC Math Tuition Highlights

##### Content Mastery

- Master relevant pure mathematics topics including functions, sequences, graphs and calculus
- Learn two new topics: 3D Vectors (Lines and Planes) and Complex Numbers
- Practice applying new content to solve examination questions
- Focus on the statistical component, including topics such as Discrete Random Variable, Distributions of Random Variable, Sampling, Hypothesis Testing, Correlation and Regression
- Master concepts and theories behind many statistical topics to promote a deeper understanding for the topics

##### Skills and Techniques

- Master the use of the Graphic Calculator(GC) to solve questions, check answers and plot relevant graphs relating to the pure math content
- Learn the use of different applications (PlySmlt2 & Conics) in the GC to solve the questions
- Identify topics required for each question and integrate knowledge from different topics to clearly present answers
- Hone exam-based skills such as time management and logical checking of answers
- Practice managing statistics related functions that are available on the GC to help evaluate answers easily
- Create lists and plot data points with relevant regression line
- Identify statistics topics required for each question and integrate knowledge from different topics to clearly present answer
- Tutorials involving real-world problems help students to integrate knowledge of multiple concepts to solve questions

##### Revision and Reinforcement

- Focus on mastering all the topics through topical revision packages that include questions that test foundational knowledge and examination questions
- Through practice tests, hone examination skills such as time management and error analysis

## Key Features of Our JC Math Tuition Classes

### Small Class Size

2 to 8 students

Conducive Learning Environment

### Customized Coaching

Reinforcing current school topics

1 to 1 Coaching

### Hones Exam Skills

Time Management Skills

Exam Questions Training

### Proven Track Records

> 86% Scoring A

> 93% improvement

### Lesson Duration

2 Hrs Weekly (Sec & JC)

1.5 Hrs Weekly (Pri)

79! Thanks ya! must keep this up for A Levels

H2 Mathematics, River Valley High School