Topics

Calculus

The behaviour of functions: how they change, where they reach extremes, and what area or volume lies beneath them.

9 topics

Functions and their properties
Limits and continuity
DerivativesRules of differentiation, higher derivatives, implicit differentiation
Curve analysisRoots, monotonicity, extrema, concavity, inflection points, asymptotes
IntegrationAntiderivatives, definite integrals, substitution, integration by parts
Areas and volumes of revolution
Applied problemsOptimisation, growth and decay, quantity and rate of change
Families of functions
Differential equationsPart of some syllabuses only. Each product states its curriculum reference.

Products in this subject area

Products
Title	Year	Problems	Difficulty	Languages	Price
Analysis combinedLimits, differentiation and integration together — levels 3 to 6 onlyCalculus	ABITUR · Q2	46	3–6/6	DE · EN	€19.99
DifferentiationFrom the power rule through product, quotient and chain rule to Abitur+Calculus	ABITUR · E · Q1 · Q2	174	1–6/6	DE · EN	€9.99
Differential equationsFrom y' = ky through separation of variables and growth models to Abitur+Calculus	ABITUR · Q2	118	1–6/6	DE · EN	€9.99
LimitsSequences, series, functions and asymptotes — up to Abitur+Calculus	ABITUR · E · Q1 · Q2	184	1–6/6	DE · EN	€9.99
IntegralsFrom the definite integral through integration by parts and substitution to Abitur+Calculus	ABITUR · Q1 · Q2	194	1–6/6	DE · EN	€9.99
Curve sketching and families of functionsBuilding blocks, full analysis by function class, parameter families and reconstructionCalculus	ABITUR · Q1 · Q2	167	1–6/6	DE · EN	€9.99
Calculus complete packageBasic level, advanced level and Abitur+ — with full solutionsCalculus	ABITUR	18	4–6/6	DE · EN	€49.99