[old stuff] Semester 1, 2016-17, Basic Math

Assignment: To be submitted by Thursday, 15 December 2016 by 1500 hrs

Mid semester test 2 results:

The results may be viewed here. The raw score is 47. The scaled score is (raw score) * 20/47. The results published are the scaled score.

Mid semester test 1 results:

The results may be viewed here. The raw score is 44. The scaled score is (raw score) * 20/44. The results published are the scaled score.

Lecture notes:

Update: Thursday, 27 October 2016. Notes for Linear Algebra, the second part of this course. Contains Chapter 7: Row echelon form and reduced row echelon form, Chapter 8: Systems of Linear Equations, Chapter 9: Algebra of matrices, Chapter 10: Determinants, Chapter 11: Linear combinations, linear independence of vectors, rank of a matrix, Chapter 12: Eigenvalues and eigenvectors

Update: Wednesday, 31 August 2016. 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

Solution to questions

Part 2 - Update: 16 November 2016

Tutorial 1: Solution to questions 1, 2, 3 and 4

Tutorial questions

Part 2 - Update: 27 October 2016

Tutorial 1: Matrices, linear equations

Tutorial 2: Symmetric, skew symmetric matrices

Tutorial 3: Invertible matrices

Tutorial 4: Determinants, system of linear equations

Tutorial 5: Adjoints, inverses, systems of linear equations

Tutorial 6: Linear combination, linear independence, rank of a matrix, solutions for linear equations

Tutorial 7: Eigenvalues, eigenvectors, Cayley-Hamilton theorem

Part I

Tutorial 1: questions on Logic, and solution

Tutorial 2: questions on Logic, and solution

Tutorial 3: question on Logic, Mathematical Induction and Binomial Theorem, and solution

Tutorial 4: questions on sets and relations, and solution

Tutorial 5: questions on relations and functions, and solution

Tutorial 6: questions on Complex numbers and solution

Tutorial 7: questions on Complex numbers and solution

Tutorial 8: questions on polynomials and solution

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)