O Level Additional Maths 4037 lectures
29 short lectures, one for each part of the syllabus, in the order it is taught. Each one teaches a topic on the board in a few minutes. The teaching part is free to watch; a free account opens the rest of every lecture: worked examples, practice questions and real past-paper questions answered.
Chapter 1 Functions
Chapter 2 Quadratic functions
- Solving quadratics and completing the squareA ball is thrown, a field is fenced, a profit is optimised.5 min
- The discriminant, a line and a curveA quadratic can cut the x axis twice, touch it once, or miss it completely.6 min
- Quadratic inequalitiesA firm's profit follows a curve, going up and then back down.5 min
Chapter 3 Factors of polynomials
Chapter 4 Equations, inequalities and graphs
Chapter 5 Simultaneous equations
Chapter 6 Logarithmic and exponential functions
Chapter 7 Straight-line graphs
Chapter 8 Coordinate geometry of the circle
Chapter 9 Circular measure
Chapter 10 Trigonometry
Chapter 11 Permutations and combinations
Chapter 12 Series
Chapter 13 Vectors in two dimensions
Chapter 14 Differentiation and integration
- Differentiation: standard functions, chain, product and quotient rulesThe speedometer of a car shows how quickly the distance is changing, right now.5 min
- Tangents and normalsZoom in on any smooth curve far enough, and it looks like a straight line.5 min
- Stationary points and the derivative testsAt the top of a hill, you stop going up and have not yet started going down.5 min
- Practical maxima and minimaA manufacturer wants a tin that holds a litre using the least metal.5 min
- Connected rates of change and small incrementsAir goes into a balloon at a steady rate.5 min
- Integration: powers of x and the reverse of differentiationA car's speedometer tells you how fast the distance is changing.5 min
- Integrating (ax + b)ⁿ, exponentials and trigonometric functionsWhen you differentiated a function of a linear bracket, the chain rule multiplied by the inner derivative.5 min
- Definite integrals and plane areasHow much land is under a curved road bridge, or how much water in a curved dam?5 min
- Kinematics: displacement, velocity, acceleration and graphsWhere is the particle?5 min
Also for O Level Additional Maths 4037
Which topics come up most in O Level Additional Maths 4037 past papers, counted from every paper since 2004.