Complete A-Level Pure Maths Course in 10 Lectures

During Class

We will cover the following four topics on Sequence and Series. The Classnote_Sequence handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1. What are sequences and series?

2. Arithmetic sequences and series

3. Geometric sequences and series

4. Recurrent sequences

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following four topics on Binomial Expansion. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.What is binomial expansion?

2.When the power is a positive integer: (a+b)^n

3.When the power is negative or a fraction: (1+x)^n and (a+bx)^n

4.Application of binomial expansion in other topics

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following six topics in the first part of Trigonometry. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Recap of AS Level Trigonometry

2.Radian

3.Solving Trigonometric Functions: sin⁡x

4.Solving Trigonometric Functions: cos⁡x

5.Solving Trigonometric Functions: tan⁡x

6.Small angle approximations

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following five topics in the second part of Trigonometry. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Secant, cosecant, and cotangent

2.Arcsin, arccos, and arctan

3.Trigonometric identities

4.Double angle formulae

5.Putting asin⁡θ+bcos θ in the format of Rcos (θ+a)

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following four topics in the first part of Algebra and Functions. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Recap of AS Functions: factorization, long division, and factor theorem

2.Partial Fractions

3.Modulus Functions

4.Exponential and Logarithm Functions

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following four topics in the second part of Algebra and Functions. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Recap of Functions Part I

2.Composite and Inverse Functions

3.Transformation on the graph of the function f(x)

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

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following three topics in the first part of Differentiation. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Derivative, differentiation, their interpretation and graphic representation

2.Methods of differentiation

3.Types of functions to differentiate

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following three topics in the second part of Differentiation. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Types of functions to differentiate (continued)

2.Stationary point, second derivative, and point of inflection

3.Modelling questions

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following five topics in the first part of Integration. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Memory items for direct integration

2.Integrating trigonometric functions

3.Reverse chain rules

4.Integration by substitution

5.Integration by parts

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.

During Class

We will cover the following five topics in the second part of Integration. The Classnote handout follows the class video, and includes consolidated key concepts, examples, and exercises gone through in class.

1.Integration using Partial Fractions

2.Application: finding areas under the curve using integration

3.Application: Solving differential equations

4.The Trapezium Rule

After Class

• Learning doesn’t stop after classes, we all know practice makes perfect.

• The homework includes four questions designed to complement classroom learning.

• They should be completed without the help of notes to help identify any knowledge gap.