semester 1, 2017-18

 

Mid semester Test 2 results

Raw score is 37. Scaled score is (raw score) x 20/37

 

Mid semester Test 1 results

Raw score is 30. Scaled score is (raw score) x 20/30

 

Lecture notes:

Part 2 of the course: 

Monday, 13 November 2017. Notes on Part 2 of the course, Linear Algebra

Part 1 of the course: 

Wednesday, 6 September 2017. Latest notes which contains Chapter 1: Logic, Chapter 2: Mathematical Induction, Chapter 3: Binomial Theorem, Chapter 4: Set Theory and Functions, Chapter 5: Complex numbers, Chapter 6: Polynomials

Supplementary notes on techniques for proof writing. The notes are extracted from the archive at Mathematics at Dartmouth. 



Tutorial questions


Part 1

Tutorial 1: questions on Logic and solutions
Tutorial 2: questions on Logic and solutions
Tutorial 3: question on Logic, Mathematical Induction and Binomial Theorem and solutions
Tutorial 4: question on sets and relations and solutions
Tutorial 5: questions on relations and functions and solutions
Tutorial 6: questions on complex numbers and solutions
Tutorial 7: questions on complex numbers and solutions
Tutorial 8: questions on polynomials and solutions



Part 2

Tutorial 1: questions on matrices and system of linear equations and solutions
Tutorial 2: questions on symmetric and skew-symmetric matrices and selected solutions
Tutorial 3: questions on invertibility and product of matrices and solutions to selected problems and solution to question 9a
Tutorial 4: questions on determinant
Tutorial 5: questions on adjoint 
Tutorial 6: questions on linear independence of vectors and solutions to selected questions
Tutorial 7: questions on eigenvalues and eigenvectors    

 Solutions to selected examples from the lecture

1. Prove that adj (kA) = k^(n-1) adj(A)

Recommended references

Epp, Susanna. Discrete Mathematics with applications, Cengage Learning, 4th edition (2011)

Devlin, K. Sets, Functions and Logic. Chapman & Hall, 2nd edition (1992)

Larson, R. Elementary Linear Algebra. Brooks-Cole Cengage Learning, 7th edition (2013)

(older textbook) Larson, R and Falvo, D. Elementary Linear Algebra. Brooks-Cole Cengage Learning, 6th edition (2010)

Anton, H. and Rorres, C. Elementary Linear Algebra. Wiley, 11th edition (2014)

Supplementary references

Cuoco, Rotman. Learning Modern Algebra. AMS

Ulrich Daepp, Pamela Garkin. Reading, Writing and Proving - A closer look at Mathematics. Springer, Undergraduate Texts in Mathematics (2003)