 Course Co-ordinated by IIT Kanpur
 Coordinators IIT Kanpur

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This course intend to develop a thorough understanding of the fundamental aspects of calculus of single variable which is fundamental tool in Sciences, Engineering and Economics.

 Modules Topics 1 Introduction to Numbers,Countability and Uncountability Examples of Irrational numbers,Functions,Limits of Functions-I 2 Limit of Functions-II,Continuous Functions,Intermediate Value Theorem,Maximum Value Theorem,Supremum & Infimum 3 Uniformly Continuous Function,Derivative of a Function,Rules of Differentiation,Derivatives maxima & minima,Rolle TMs Theorem and Lagrange MVT(Mean-Value Theorem) 4 Monotonic Functions and Inverse Functions,Newton TMs Method for solving Equations,Optimization Problems,Integration,Basic Theorems of Integration 5 Indefinite Integrals,Integration by Parts,Integration of Rational Functions,Trapezoidal Rule for evaluating definite integral,Simpson TMs Rule for evaluating definite integral 6 Applications of Definite Integral-I,Applications of Definite Integral-II,Applications of Definite Integral-III,Applications of Definite Integral-IV,Transcendental Functions-I 7 Transcendental Functions-II,Taylor TMs Expansion-I,Taylor TMs Expansion-II,Infinite Sequence-I,Infinite Sequence-II 8 Infinite series and their convergence,Tests for Convergence of a series,Absolute and conditional convergence,Power Series,Historical Development of the Calculus

B.E/B.Tech,B.Sc,

1. Calculus by M Spivak
2.Calculus by Thomos and Finney.

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