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syllabus, lecture notes, assignment sheets, and any additional material for MA1010.
Students of MA1010 should check this page frequently for annoucements.
Real Sequences - boundedness, convergence
Numerical Series - Test of convergence, alternating series, absolute convergence.
Differential calculus - Limit, continuity and differentiability of functions, properties of differentiable functions - Rolle's theorem, Mean value theorem, Taylor's formula, maxima, minima, points of inflection, asymptotes and curvature
Integral Calculus - Definite integral as a limit of a sum, properties of definite integrals, applications of definite integrals.
Sequences and series of real functions, power series and Fourier series.
TEXT BOOK:
1. Piskunov N, Differential and Integral Calculus, Vol I & II, MIR Publications, Moscow - CBS Publishers and Distributers (India) - 1996.
REFERENCES:
1. Thomas G.B., Jr. and Finney, R.L., Calculus and Analytic Geometry, Addison Wesly ,1998.
2. Ghorpade, S.R., Limaye, B.V., A Course in Calculus and Real Analysis, Springer, 2007.