23UMATF17 Bridge Mathematics Syllabus:

23UMATF17 Bridge Mathematics Syllabus – Annamalai University UG Syllabus Regulation 2023-24

Objectives of the Course

• To bridge the gap and facilitate transition from higher secondary to tertiary education
• To instil confidence among stakeholders and inculcate interest for Mathematics

UNIT-I:

Algebra: Binomial theorem, General term, middle term, problems based on these concepts

NCERT Class 11 Mathematics: Chapter 7

Unit II:

Sequences and series (Progressions).

NCERT Class 11 Mathematics: Chapter 8

Unit III:

Permutations and combinations, Fundamental principle of counting. Factorial n. Derivation of formulae and their connections, simple applications, combinations with repetitions, arrangements within groups, formation of groups.

NCERT Class 11 Mathematics: chapter 6

Unit IV:

Trigonometry: Introduction to trigonometric ratios, proof of sin(A+B), cos(A+B), tan(A+B) formulae, multiple and sub multiple angles, sin(2A), cos(2A), tan(2A) etc., transformations sum into product and product into sum formulae, inverse trigonometric functions, sine rule and cosine rule

NCERT Class 11 Mathematics: Chapter 3

NCERT Class 12 Mathematics: Chapter 2

Unit V:

Calculus: Limits, standard formulae and problems, differentiation, first principle, uv rule, u/v rule, methods of differentiation, application of derivatives, integration – product rule and substitution method.

NCERT Class 11 Mathematics: Chapter 12

Recommended Text Book

NCERT class XI and XII text books.