Video coming soon
SL 5.1—Introduction of differential calculus
2 subtopics
SL 5.2—Increasing and decreasing functions
1 subtopic
SL 5.3—Differentiating polynomials, n E Z
1 subtopic
SL 5.4—Tangents and normal
3 subtopics
SL 5.5—Integration introduction, areas between curve and x axis
4 subtopics
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
7 subtopics
SL 5.7—The second derivative
2 subtopics
SL 5.8—Testing for max and min, optimisation. Points of inflexion
7 subtopics
SL 5.9—Kinematics problems
4 subtopics
SL 5.10—Indefinite integration, reverse chain, by substitution
4 subtopics
SL 5.11—Definite integrals, areas under curve onto x-axis and areas between curves
5 subtopics
AHL 5.12—First principles, higher derivatives
4 subtopics
AHL 5.13—Limits and L’Hopitals
4 subtopics
AHL 5.14—Implicit functions, related rates, optimisation
4 subtopics
AHL 5.15—Further derivatives and indefinite integration of these, partial fractions
5 subtopics
AHL 5.16—Integration by substitution, parts and repeated parts
5 subtopics
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
2 subtopics
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
4 subtopics
AHL 5.19—Maclaurin series
4 subtopics