NCEA Level 3 Calculus
AS 91578 · Apply differentiation methods in solving problems
7 lessons, about 44 minutes.
The derivative toolkit: chain, product and quotient rules7 min
Stationary points, concavity and points of inflection6 min
Tangents and normals: from gradient to finished equation6 min
Parametric differentiation, and the second derivative7 min
Related rates of change: spheres, cones and the chain rule6 min
Optimisation: building the model and finding the max or min6 min
Limits, continuity and differentiability from a graph6 min7 worked problems, about 78 minutes.
Derivative toolkit: 7 exam questions solved step by step11 min
Stationary points: 7 exam questions solved step by step12 min
Tangents and normals: 7 exam questions solved step by step12 min
Parametric curves: 7 exam questions solved step by step11 min
Related rates of change: 7 exam questions solved step by step11 min
Optimisation: 7 exam questions solved step by step11 min
Limits and continuity: 7 exam questions solved step by step11 minAS 91579 · Apply integration methods in solving problems
6 lessons, about 37 minutes.
The integration toolkit: surds, e, trig and the chain rule6 min
Integrating fractions: when it is ln, and when it is not6 min
The constant of integration: find c, never assume it6 min
Definite integrals and area, including between two curves6 min
Trapezium and Simpson's rules: numerical areas6 min
Differential equations: growth, decay and Newton's cooling6 min6 worked problems, about 63 minutes.
Integration toolkit: 7 exam questions solved step by step10 min
Integrating fractions: 7 exam questions solved step by step10 min
Constant of integration: 7 exam questions solved step by step11 min
Definite integrals: 7 exam questions solved step by step11 min
Numerical integration: 6 exam questions solved step by step11 min
Differential equations: 6 exam questions solved step by step11 minSitting NCEA Maths this year?Book a free NCEA assessment
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