FP1

Video resources

1. Complex numbers
   1. The factor theorem
   2. Introduction to i, the square root of -1
   3. Complex numbers (part 0, part 1, part 2)
   4. Complex conjugate example
   5. Argand diagram, modulus-argument form of complex numbers, exponential form of complex numbers (you don’t need exponential form for FP1)
2. Numerical solutions
   1. Introduction
   2. Interval bisection
   3. Linear interpolation
   4. Newton-Raphson
   5. Exam questions
3. Coordinate systems
   1. Parametric and Cartesian form
   2. Converting parametric to Cartesian form
   3. Parabolas
   4. Parabolas and parametric form
   5. Hyperbolae
   6. Tangents and normals to parabolas and hyperbolae
   7. Exam questions
4. Matrices
   1. Entire Khan Academy matrices chapter (go as far as ‘Matrices to solve a system of equations’)
   2. Exam questions (more)
5. Series
   1. Part 1
   2. Part 2
   3. Exam questions
6. Proof by induction
   1. Sums
   2. Divisibility
   3. Recurrence relations
   4. Matrices