Scientific Initiation: Elements of Analysis over IR
Mathematical induction. Inequalities. Topological concepts. Limit and continuity. Derivatives and the chain rule. Series. Definite and indefinite integrals. Taylor series. Convexity. Functions of several variables: Limit, continuity, partial and directional derivatives. Maxima and minima of various variable functions. Examples and applications. Additional topics: Lagrange Series and Multipliers.
References:
LIMA, E.L. – Análise Real, vol. 1, Coleção Mat. Univ. Rio de Janeiro, IMPA, 1999.
APOSTOL. T. – Calculus, New York : Blaisdell Pub. Co., 1964, 1961.
SPIVAK, M. – Calculus. Berkeley, CA : Publish or Perish, 1980.
BUCK, R. – Creighton. Advanced calculus. 2d ed. New York: McGraw-Hill, 1965.
LIMA, E.L. – Análise Real, vol. 1, Coleção Mat. Univ. Rio de Janeiro, IMPA, 1999.
APOSTOL. T. – Calculus, New York : Blaisdell Pub. Co., 1964, 1961.
SPIVAK, M. – Calculus. Berkeley, CA : Publish or Perish, 1980.
BUCK, R. – Creighton. Advanced calculus. 2d ed. New York: McGraw-Hill, 1965.
