List of Topics

No. of

Weeks

Contact Hours

The first fundamental theorem of calculus, the second theorem of calculus, the mean value theorem for integrals and  the use  of symmetry, the area of a plane region, volume of solids, length of a plane curve.

3

12

The natural logarithm function, inverse functions and their derivatives, the  natural exponential function and logarithm functions, The inverse trigonometric functions and their derivatives, the hyperbolic functions and their inverses.

4

16

Basic integration rules, integration by part, some trigonometric integrals, rationalizing substitution, integration of rational functions using partial fractions.

4

16

Indeterminate forms of type 0/0, other indeterminate forms, improper integrals: infinite limits of integration, improper integral: infinite integral.

3

12