This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Topics include: Concepts of function, limits, and continuity, Differentiation rules, application to graphing, rates, approximations, and extremum problems; Definite and indefinite integration; Fundamental theorem of calculus; Applications of integration to geometry and science; Elementary functions; Techniques of integration; Approximation of definite integrals, improper integrals, and L'Hôpital's rule.
Differentiation and integration of functions of one variable, with applications. Concepts of function, limits, and continuity. Differentiation rules, application to graphing, rates, approximations, and extremum problems. Definite and indefinite integration. Fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Approximation of definite integrals, improper integrals, and L'Hospital's rule.
Differentiation and integration of functions of one variable, with applications. Concepts of function, limits, and continuity. Differentiation rules, application to graphing, rates, approximations, and extremum problems. Definite and indefinite integration. Fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Approximation of definite integrals, improper integrals, and L'Hospital's rule.
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