Week 1:Real numbers, Functions and their graphs.
Week 2:Limits of functions, Left and Right hand limits.
Week 3: Continuity, Intermediate value property.
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.
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.