Programmes → Foundation course for any programme across the University other than those offered by the School of Mathematics and Statistics

Bridge Mathematics

Course Code: FN 102; MM 102 | Credits: 3 | Prerequisite: Class 10 Mathematics

Unit I:(Algebra) Binomial theorem, general term and middle term with problems based on these concepts; sequences and series (progressions); the fundamental principle of counting, factorial n, permutations and combinations, derivation of the formulae and their connections, simple applications, combinations with repetitions, arrangements within groups and formation of groups.
Unit II:(Trigonometry) Introduction to trigonometric ratios; proofs of the sin(A + B), cos(A + B) and tan(A + B) formulae; multiple and submultiple angles; transformations from sums to products and products to sums; inverse trigonometric functions; the sine and cosine rules.
Unit III:(Calculus) Limits, standard formulae and problems; differentiation from first principles, the product and quotient rules, methods of differentiation and applications of the derivative; integration by the product rule and by substitution.

Prove the binomial theorem, apply it to expand (x + y)ⁿ, and solve related problems.
Work with sequences and series and solve problems involving them.
Explain the principle of counting and apply it to permutations and combinations in different cases.
Explain the trigonometric ratios, evaluate them for sums of angles and for multiple and submultiple angles, and solve problems using the transformations.
Find the limit and derivative of a function at a point, and its definite and indefinite integrals.
Find the points of minimum and maximum of a function.