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Single Variable Calculus

Code: MA1310H | L-T-P-C: 3-1-0-4

Convergence of sequences and series of real numbers; Limits, Continuity of functions; Differentiability, Rolle's theorem, mean value theorem, Taylor's theorem; Power series; Riemann integration, fundamental theorem of calculus, improper integrals; Application to length, area, volume, and surface area of revolution.

Texts:

  • G. B. Thomas, Jr. and R. L. Finney, Calculus and Analytic Geometry, Pearson India, 9th Edition, 2006.

References: 

  • R. G. Bartle and D. R. Sherbert, Introduction to Real Analysis, Wiley India, 4th Edition, 2014.
  • S. R. Ghorpade and B. V. Limaye, A Course in Calculus and Real Analysis, Springer India, 2006.