Mathematics
Mathematics lessons from algebra to calculus, with worked examples for AP Calculus, Cambridge 9709 and IB Analysis and Approaches.
For TeachersHow to Teach Calculus So It Sticks: Lesson Structures, Common Misconceptions and Exam Technique for AP, Cambridge and IBTeaching calculus for AP, Cambridge and IB: a lesson structure, 10 misconceptions with fixes, exam technique and a timed two-lesson chain rule plan.MathematicsComplex Numbers in Modulus–Argument Form: Argand Diagrams, Multiplication and De Moivre’s TheoremComplex numbers in modulus argument form: Argand diagrams, multiplying and dividing, and De Moivre's theorem, with an AC circuit case and exam practice.MathematicsParametric Equations Explained: Projectile Paths, Eliminating the Parameter and dy/dxParametric equations explained: model a projectile path, eliminate the parameter, find dy/dx and second derivatives, with worked examples and exam practice.MathematicsLogistic Growth Model: Carrying Capacity, the Logistic Equation and How Fast a Product SpreadsThe logistic growth model explained: carrying capacity, solving the logistic equation and finding peak growth, with a worked case on how fast apps spread.MathematicsEuler’s Method and Slope Fields: Solving Differential Equations Step by StepLearn Euler's method step by step with slope fields, a drug-dosage case, error checks and over- or underestimate reasoning, plus exam practice.MathematicsPartial Fractions Explained: Splitting Rational Functions, Repeated Factors and IntegrationLearn partial fractions step by step: distinct, repeated and quadratic factors, improper fractions and integration, with a worked app-downloads case study.MathematicsThe Trapezium Rule and Riemann Sums: Estimating Area Under a Curve from DataLearn the trapezium rule and Riemann sums to estimate the area under a curve from data, with a car speed case, error checks and exam-style practice.MathematicsStationary Points, Concavity and Points of Inflection: The Second Derivative Test and Curve SketchingLearn to find stationary points and points of inflection, use the second derivative test and sketch curves, with an app adoption case and practice.MathematicsThe Mean Value Theorem and Intermediate Value Theorem: What They Guarantee, with a Speed-Camera CaseThe mean value theorem and intermediate value theorem explained with a speed-camera case, conditions, worked examples and exam-style practice questions.Mathematical EconomicsProduct Rule and Quotient Rule: When to Use Each, with Revenue and Average-Cost ExamplesLearn when to use the product rule and quotient rule, with worked revenue and average-cost examples, common mistakes and exam-style practice questions.
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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