Calculus in One Real Variable

Functions: exponential, logarithmic, polynomial, trigonometric, linear. Domain, image, crescente and decrescent, even, odd, inverse function. Rate of change; Limits; precise definition of limit; continuity. Derivatives; differentiation rules; chain rule; implicit derivation; L’Hôpital rule; superior derivatives; related fees; linear approximations; differentials; Taylor polynomial; Average Value Theorem; Maximum and minimum; convex and concave functions; graphics; optimization problems. Anti-derivatives; areas and distances. Riemann sums. Defined integral. Fundamental Theorem of Calculus. Undefined integrals. Integration by substitution and by parts. Integrals of rational functions by partial fractions. Improper integrals.

Basic Information

90 hours
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  • Morettin, P.A .; Hazzan, S.; Bussab, W .. Calculus: one and multiple variables functions. Saraiva, 2003.


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