Elementary functions: polynomial, rational, root, trigonometric, exponential, logarithmic, hyperbolic. Inverse functions, including inverse trigonometric functions. Limits and continuity. Differentiation of elementary and inverse functions. Applications of derivatives, including linear approximations, Taylor polynomials, and l'Hospital's rule. Curve sketching and optimization. Anti-derivatives. Definite integrals and the Fundamental Theorem of Calculus. Integration by substitution. Area between curves. Numerical integration.
Elementary functions: polynomial, rational, root, trigonometric, exponential, logarithmic, hyperbolic. Inverse functions, including inverse trigonometric functions. Limits and continuity. Differentiation of elementary and inverse functions. Applications of derivatives, including linear approximations, Taylor polynomials, and l'Hospital's rule. Curve sketching and optimization. Anti-derivatives. Definite integrals and the Fundamental Theorem of Calculus. Integration by substitution. Area between curves. Numerical integration.
