The Real Numbers. Infinite Sequences, Subsequences (including Bolzano-weierstrass Theorem). Real Function of One Variable# Limits And Continuity, Continuous Functions On a Closed Interval (weierstrass Theorems, Intermediate Value Theorem), Monotone Functions and Invertible Functions. Differentiability and The Main Theorems of Differential Calculus# The Theorems of Fermat, Rolle, Lagrange and Cauchy. L'hopital S Rule, Taylor S Theorem, Analyzing Functions. Primitive and Methods of Integration, Definite Integral And Its Properties, Integrable Functions, The Fundamental Theorem Of Calculus, Improper Integral. Numerical Series. Remark# in This Course There Is a Greater Emphasis On Theory And Applications Than in 104018.

Faculty: Mathematics
|Undergraduate Studies

Course with no extra credit

104003 - Differential and Integral Calculus 1 104018 - Differential and Integral Calculus 1m 104031 - Calculus 1m 104041 - Differential and Integral Calculus 1m1 104042 - Differential and Integral Calculus 1m2 104195 - Infinitesimal Calculus 1


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