M101: General Mathematics I

Syllabus:- Method of Mathematical Proofs: Induction, Construction,
Contradiction, Contrapositive

- Set: Union and Intersection of sets, Distributive laws, De
Morgan's law, Finite and Infinite sets

- Relation: Equivalence relation and equivalence classes

- Function: Injections, Surjections, Bijections, Composition of
functions, Inverse function, Graph of a function

- Countable and uncountable sets, Natural numbers via Peano axioms,
Integers, Rational numbers, Real numbers, Complex numbers

- Matrices, Determinant, Solving system of linear equations, Gauss
ellimination method

- Linear mappings on R^2 and R^3, Linear transformations and
Matrices

- Symmetry of Plane figures: Translations, Rotations, Reflections,
Glide-reflections, Rigid Motions

- K. B. Sinha et. al., Understanding Mathematics,
University Press

- M. Artin, Algebra, PHI

- G. Polya, How to solve it, Princeton University Press

- Monday [T] (10.30)
- Tuesday (11.30)
- Wednesday (9.30)

- Wednesday (13.30 -14.30) or by appointment. Please send an email for an appointment.

- Ms. Moni Kumari
- Mr. Bikramaditya Sahu
- Mr. Amit Kumar
- Dr. Prem Prakash Pandey

Assignments:

Quizes:

Examinations:

Evaluation Procedure for Grading:

There will be two quizzes carrying 15 marks each, a mid-semester examination of 30 marks and a final end-Semester exam of 40 marks (Total 100). The final grading (relative grading) will be done based on the performance in the quizzes, mid-semester and end-semester examination.

Keys to Success:

Attend all the lectures and tutorials, Do the homeworks, ask questions. Talk to me if you have any problem.

Good Luck... |