Semester 1, session 2018/19

Test 1 and test 2 results

SIM1001 - Basic Mathematics


SJEM1110 - Basic Mathematics


SIX1013 - Fundamental of Advanced Mathematics

Lecture notes

Part 1 of the course - 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.


Part 2 of the course: Notes on Part 2 of the course, Linear Algebra

Tutorial classes schedule. Please choose one slot

Tutorial questions

Part 1 - Algebra

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 - Linear Algebra

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 andsolution 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    

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)