Complex Numbers | ||

Series | ||

Algebra & Functions | ||

Matrices | ||

Proof - Induction | ||

Vectors | ||

Momentum & Impulse | Mark Scheme | |

Work, Energy & Power | ||

Centres of Mass | ||

Missing: Circular Motion, Further Kinematics, Elastic Collisions, Calculus | ||

Complex Numbers | ||

Series | ||

Algebra & Functions | ||

Matrices | ||

Proof - Induction | ||

Vectors | ||

Momentum & Impulse | Mark Scheme | |

Work, Energy & Power | ||

Centres of Mass | ||

Missing: Circular Motion, Further Kinematics, Elastic Collisions, Calculus | ||

**Lesson Objective:**

To be able to find the intersection of a line and a plane.

**Lesson Objectives:**

To be able to:

- Convert between Cartesian and vector forms of line.
- Solve line intersection problems.

**Lesson Objectives:**

To be able to prove by induction:

- Summation results.
- Divisibility results.
- Matrices results.

**Lesson Objectives for Week:**

To be able to:

- Sum standard series
- Understand the basics of proof by induction.

**Lesson Objectives:**

To be able to:

- Convert complex numbers between x +yj and modulus-argument form
- Draw the locus of a set of points defined by an argument relationship.

**Lesson Objective:**

To be able to represent points of numbers on an Argand diagram when given inequalities such as (z - z_{1}) <= 3

Exercise 2D

**Lesson Objective:**

To be able to:

- Manipulate complex numbers
- Solve equations by equating Re and Im parts

Exercise 2B

**Lesson Objectives:**

To be able to:

- Add, subtract, multiply and divide complex numbers.
- Recognise z, z
^{*}, Re(z), Im(z) - Represent complex numbers on an Argand diagram.
- Solve any quadratic equation with real coefficients.

**Lesson Objective:**

To be able to find the equation of the line of invariant points for a given transformation matrix.

**Lesson Objective:**

To be able to calculate the inverse of a 3 x 3 matrix both manually and on a Classwiz calculator.

**Lesson Objectives:**

To be able to:

- Know when a matrix has an inverse.
- Find the inverse of a 2x2 matrix.
- Solve simultaneous linear equations by matrix methods.

Lesson Objectives:

To be able to:

- Recognise when matrices can be added, subtracted and multiplied.
- Identify transformation matrices for reflections and rotations.

AS Further Mathematics Specification

This document determines our work between Sep 17 - May 18.

Please complete and hand in tomorrow the first two questions from:

http://mei.chosenhill.org/solutions/revision/C4RevisionVectorsQuestions.pdf

For Tuesday 10 October please complete:

- Exercise 8b even numbers.
- Exercise 8c odd numbers.

Please complete and self mark Exercise 1G on pages 39 and 40.

Also complete the FM Baseline Test and hand in next Monday.

For Friday please complete:

Question 1 of FP1 Jan 05 You will need to know that a transformation by matrix **A **multiplies areas by det **A**