IAL Mathematics AS (YMA01)Topic Questions

Unit P1: Pure Mathematics 1

1. Algebra and functions

2. Coordinate geometry in the (x, y) plane

3. Trigonometry

4. Differentiation

5. Integration

Unit P2: Pure Mathematics 2

1. Proof

2. Algebra and functions

3. Coordinate geometry in the (x, y) plane

4. Trigonometry

5. Differentiation

6. Integration

7. Sequences and series

8. Exponentials and logarithms

Unit P3: Pure Mathematics 3

1. Algebra and functions

2. Trigonometry

3. Exponential and logarithms

4. Differentiation

5. Integration

6. Numerical methods

Unit P4: Pure Mathematics 4

1. Proof

2. Algebra and functions

3. Coordinate geometry in the (x, y) plane

4. Binomial expansion

5. Differentiation

6. Integration

7. Vectors

8. Exponentials and logarithms

Unit FP1: Further Pure Mathematics 1

1. Complex numbers

2. Roots of quadratic equations

3. Numerical solution of equations

4. Coordinate systems

5. Matrix algebra integration

6. Transformations using matrices

7. Series

8. Proof

Unit FP2: Further Pure Mathematics 2

1. Inequalities

2. Series

3. Further complex numbers

4. First order differential equations

5. Second order differential equations

6. Maclaurin and Taylor series

7. Polar coordinates

Unit FP3: Further Pure Mathematics 3

1. Hyperbolic functions

2. Further coordinate systems

3. Differentiation

4. Integration

5. Vectors

6. Further matrix algebra

7. Series

Unit D1: Decision Mathematics 1

1. Algorithm

2. Algorithms on graphs

3. Algorithms on graphs II

4. Critical path analysis

5. Linear programming