Mathematics
Mathematics lessons from algebra to calculus, with worked examples for AP Calculus, Cambridge 9709 and IB Analysis and Approaches.
MathematicsIntegration by Substitution: Examples, Changing Limits and Real CasesLearn integration by substitution as the chain rule in reverse, with worked examples on drug absorption, app downloads and exam-style integrals.MathematicsRelated Rates Problems: Sliding Ladders, Filling Cones and Falling DemandSolve related rates problems with one reliable recipe: draw, link, differentiate with respect to time, then substitute. Ladder, cone and price examples.MathematicsIntegration by Parts Examples: LIATE, the Tabular Method and the Present Value of a Growing Revenue StreamUse integration by parts to value a growing revenue stream, then master LIATE, repeated parts and the tabular method with exam-style examples.MathematicsOptimisation Problems in Calculus: A Step-by-Step Method with Real CasesHow to solve optimisation problems with calculus: build the objective, use the constraint, test the stationary point and check the endpoints.MathematicsThe Chain Rule Explained: How to Differentiate a Function of a Function (with Examples)Learn the chain rule through a bakery's cost per labour hour: why rates multiply, how to set it up, and the slip that costs most exam…MathematicsQuadratic Formula Word Problems: Projectiles, Break-Even Prices and the DiscriminantHow to turn a word problem into ax² + bx + c = 0, solve it with the quadratic formula, and use the discriminant to see…
This topic has a full chapter in Mathematics Made Simple, with 1,565 fully worked practice questions in the bundle.Mathematics Made Simple Complete Bundle — Textbook + 1,565 Practice Questions
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