Grade 12 mathematics

Unit Outcomes:

After completing this unit, you should be able to:

revise the notions of sets and functions.

grasp the concept of sequence and series.

compute any terms of sequences from given rule.

find out possible rules (formulas) from given terms. identify the types of sequences and series.

compute partial and infinite sums of sequences.

apply the knowledge of sequence and series to solve practical and real life problems. 

Unit Outcomes:

After completing this unit, you should be able to:

understand the concept of "limit" intuitively.

find out limits of sequences of numbers. determine the limit of a given function.

determine continuity of a function over a given interval. apply the concept of limits to solve real life mathematical problems.

develop a suitable ground for dealing with differential and integral calculus. 

Unit Outcomes:

After completing this unit,

you should be able to: describe the geometrical and mathematical meaning of derivative.

determine the differentiability of a function at a point. find the derivatives of some selected

functions over intervals. apply the sum, difference, product and quotient rule of differentiation of functions. find the derivatives of power functions, polynomial functions,

rational functions, simple trigonometric functions, exponential and logarithmic functions. 

Unit Outcomes:

After completing this unit, you should be able to:

understand the concept of definite integral. integrate polynomial functions, simple trigonometric functions, exponential and logarithmic functions. use the various techniques of integration to evaluate a given integral. use the fundamental theorem of calculus for computing definite integrals. apply the knowledge of integral calculus to solve real life mathematical problems.