Grade 12 - Calculus

Calculus
Limits- operations on functions
Continuity of a function
Intermediate value, extreme value theorem
Derivatives, differentiability
Derivatives of functions
Chain rule
Rolle’s theorem, mean value theorem, and L’Hôpital’s rule
Maxima, minima, inflection points, intervals
Newton’s method (approximating the zeros of a function)
Differentiation to solve problems
Definite/indefinite integrals
Riemann sums
Fundamental theorem of calculus
Definite integrals problems
Techniques of integration
Inverse trigonometric functions
Integrals of functions
Simpson’s rule, Newton’s method
Improper integrals (limits of definite integrals)
Tests for convergence/divergence of sequences/series
Power series, Taylor series/polynomials
Elementary differential equations

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