Basic Calculus 1 free videos and free material uploaded by IIT Madras Staff .
Week 1:Real numbers, Functions and their graphs.
Week 2:Limits of functions, Left and Right hand limits.
Week 3:Continuity, Intermediate value property.
Week 4:Differentiation, Chain rule, Implicit differentiation.
Week 5:Extreme values, Rolle’s theorem, Mean value theorems.
Week 6:Local extrema.
Week 7:Limits at infinity, Infinite limits, Asymptotes, Differentials.
Week 8:Definite integrals, Area, Mean value theorem.
Week 9:The fundamental theorem, Indefinite integral.
Week 10:Integration by substitution, Area between curves.
Week 11:Volume by slicing, Volume of revolution, Cylindrical shells.
Week 12:Lengths of plane curves, Area of surface of revolution.
This course is a follow up to the calculus course taught in schools. Some of the notions done earlier will be presented in a more rigorous manner and some new notions will be introduced. The course aims at treating rigorously the notions of continuity, differentiabilty and integrability and their applications. INTENDED AUDIENCE :B.Sc. PREREQUISITES : School MathematicsINDUSTRIES SUPPORT :None
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