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