Limits; differentiation of algebraic functions; analytic geometry; applications, in particular to maxima and minima problems.
Integration; calculus for trigonometric, exponential, and logarithmic functions; applications.
Differential equations; partial derivatives; double integrals; applications; series.
Introduction to differential calculus via applications in biology and medicine. Limits, derivatives of polynomials, trigonometric, and exponential functions, graphing, applications of the derivative to biology and medicine.
Functions, limits, continuity. Slope and derivative. Differentiation of algebraic and transcendental functions. Applications to motion, natural growth, graphing, extrema of a function. Differentials. L'Hopital's rule.
Continuation of MAT 021A. Definition of definite integral, fundamental theorem of calculus, techniques of integration. Application to area, volume, arc length, average of a function, improper integral, surface of revolution. May be taught abroad.