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
  

References:

• K. B. Sinha et. al., Understanding Mathematics, University Press
  
• M. Artin, Algebra, PHI
  
• G. Polya, How to solve it, Princeton University Press
  

Lectures:

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

Office Hour:

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

Tutors:

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

Assignments:

• Assignment 1 
• Assignment 2 
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6

Quizes:

• Quiz 1
  
• Quiz 2
  

Examinations:

• Mid- Semester
• End- Semester

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...