# Mathematics

​When studying pure mathematics at AS and A2 level, you will be extending your knowledge on topics such as algebra and trigonometry, as well as learning new concepts such as calculus. While many of the ideas you will meet in pure mathematics are interesting in their own right, they also serve as an important foundation for other branches of mathematics, especially mechanics and statistics.​

### What You Will Learn

#### Core Mathematics C12

Chapter 1. Algebra and Functions (C12)

Chapter 2. Coordinate Geometry in the (x, y) Plane (C12)

Chapter 3. Sequences and Series (C12)

Chapter 4. Exponentials and Logarithms (C12)

Chapter 5. Trigonometry (C12)

Chapter 6. Differentiation (C12)

Chapter 7. Integration (C12)

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#### Core Mathematics C34

Chapter 1. Algebra and Functions (C34)

Chapter 2. Sequences and Series (C34)

Chapter 3. Trigonometry (C34)

Chapter 4. Exponentials and Logarithms (C34)

Chapter 5. Coordinate Geometry in the (x, y) Plane (C34)

Chapter 6. Differentiation (C34)

Chapter 7. Integration (C34)

Chapter 8. Numerical Methods (C34)

Chapter 9. Vectors (C34)

Coming Soon

#### Statistics S1

Chapter 1. Mathematical Models in Probability and Statistics (S1)

Chapter 2. Representation and Summary of Data (S1)

Chapter 3. Probability (S1)

Chapter 4. Correlation and Regression (S1)

Chapter 5. Discrete Random Variables (S1)

Chapter 6. The Normal Distribution (S1)

Coming Soon

#### Statistics S2

Chapter 1. The Binomial and Poisson Distributions (S2)

Chapter 2. Continuous Random Variables (S2)

Chapter 3. Continuous Distributions (S2)

Chapter 4. Hypothesis Tests (S2)

Coming Soon

#### Statistics S3

Chapter 1. Combinations of Random Variables (S3)

Chapter 2. Sampling (S3)

Chapter 3. Estimation, Confidence Intervals and Tests (S3)

Chapter 4. Goodness of Fit and Contingency Tables (S3)

Chapter 5. Regression and Correlation (S3)

Coming Soon

#### Mechanics M1

Chapter 1. Mathematical Models in Mechanics (M1)

Chapter 2. Vectors in Mechanics (M1)

Chapter 3. Kinematics of a Particle Moving in a Straight Line (M1)

Chapter 4. Dynamics of a Particle Moving in a Straight Line (M1)

Chapter 5. Statics of a Particle (M1)

Chapter 6. Moments (M1)

Coming Soon

#### Mechanics M2

Chapter 1. Kinematics of a Particle Moving in a Straight Line (M2)

Chapter 2. Centres of Mass (M2)

Chapter 3. Work and Energy (M2)

Chapter 4. Collisions (M2)

Chapter 5. Statics of Rigid Bodies (M2)

Coming Soon

#### Mechanics M3

Chapter 1. Further Kinematics (M3)

Chapter 2. Elastic Strings and Springs (M3)

Chapter 3. Further Dynamics (M3)

Chapter 4. Motion in a Circle (M3)

Chapter 5. Statics of Rigid Bodies (M3)

Coming Soon

#### Decision Making D1

Chapter 1. Algorithms (D1)

Chapter 2. Algorithms of Graphs (D1)

Chapter 3. The Route Inspection Problem (D1)

Chapter 4. Critical Path Analysis (D1)

Chapter 5. Linear Programming (D1)

Chapter 6. Matchings (D1)

Coming Soon

#### Further Mathematics F1

Chapter 1. Complex Numbers (F1)

Chapter 2. Roots of Quadratic Equations (F1)

Chapter 3. Numerical Solution of Equations (F1)

Chapter 4. Coordinate Systems (F1)

Chapter 5. Matrix Algebra (F1)

Chapter 6. Transformations Using Matrices (F1)

Chapter 7. Series (F1)

Chapter 8. Proof (F1)

Coming Soon

#### Further Mathematics F2

Chapter 1. Inequalities (F2)

Chapter 2. Series (F2)

Chapter 3. Further Complex Numbers (F2)

Chapter 4. First Order Differential Equations (F2)

Chapter 5. Second Order Differential Equations (F2)

Chapter 6. Maclaurin and Taylor Series (F2)

Chapter 7. Polar Coordinates (F2)

Coming Soon

#### Further Mathematics F3

Chapter 1. Hyperbolic Functions (F3)

Chapter 2. Further Coordinate Systems (F3)

Chapter 3. Differentiation (F3)

Chapter 4. Integration (F3)

Chapter 5. Vectors (F3)

Chapter 6. Further Matrix Algebra (F3)

Coming Soon

### Which combination is right for me?

When it comes to Mathematics, Acalyt has a variety of packages and courses of all levels for you to choose from. Find out which courses are right for you with this quick guide.

### Learn with the Best

#### Why Take This Course

Mathematics is rather different from many other subjects. An essential part of mathematical study is the challenge of analysing and solving a problem and the satisfaction and confidence gained from achieving a ‘correct’ answer. If you choose mathematics you will not have to write essays, but you will need to be able to communicate well in written work to explain your solutions.

Mathematics is not about learning facts. You will not achieve success by just reading a textbook or by producing and revising from detailed notes… you actually need to ‘do’ mathematics.

#### What Do I Get?

• Instructor videos

• Learn by doing exercises

• Taught by Singapore teachers

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"The only way to learn mathematics is to do mathematics."

- Paul Richard Halmos, Hungarian-born mathematician