Sunday, 26 September 2021

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Semester 1, session 2021/22


Basic Math workshop Saturday, 29 January 2022, 9-11


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Course materials for SIM1001 - Basic Mathematics for Semester 1, session 2021/22

Tutorial groups:



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


Lecture videos and jottings

You can use the vlc media player to watch the videos

Week 1
Tuesday, 19 October 2021 was a public holiday
Thursday, 21 October 2021 was course orientation

Week 2
Tuesday, 26 October 2021: video (177.5 MB) and jottings
Thursday, 28 October 2021: video (103.20 MB) and jottings 

Week 3
Tuesday, 2 November 2021: video (173.1 MB) and jottings
Thursday, 4 November was a public holiday

Week 4
Tuesday, 9 November 2021: video (167.7 MB) and jottings
Thursday, 11 November 2021: video (136.6 MB) and jottings

Week 5
Tuesday, 16 November 2021: video (141.3 MB) and jottings
Thursday, 18 November 2021: video (163 MB) and jottings

Week 6
Tuesday, 23 November 2021: video (161.3 MB) and jottings
Thursday, 25 November 2021: video (152.5 MB) and jottings

Week 7
Tuesday, 30 November 2021: 9-11: video (140.2 MB) and jottings

Week 8
Tuesday, 14 December 2021: 9-11: video (156.5 MB) and jottings
Thursday, 16 December 2021: 9-11: video (161.2 MB) and jottings

Week 9
Tuesday, 21 December 2021: 9-11: video (131.5 MB) and jottings
Thursday, 23 December 2021: 9-11: video (133.8 MB) and jottings

Week 10
Tuesday, 28 December 2021: 9-11: video (212 MB) and jottings
Thursday, 30 December 2021: 9-11: video (172.3 MB) and jottings

Week 11
Tuesday, 4 January 2022: 9-11: video (160.1 MB) and jottings
Thursday, 6 January 2022: 9-11: video (135.7 MB) and jottings

Week 12
Tuesday, 11 January 2022: 9-11: video (147.8 MB) and jottings
Thursday, 13 January 2022: 9-11: video (159.8 MB) and jottings

Week 13
Tuesday, 18 January 2022 was a public holiday
Thursday, 20 January 2022 was for Test 2, so no lecture 

Week 14
Tuesday, 25 January 2022: 9-11: video (163.6 MB) and jottings
Thursday, 27 January 2022: 9-11: video (150.2 MB) and jottings



Tutorial videos and jottings

Week 3

1 November 2021, 8-9, Monday : video (132.2 MB) and jottings

3 November 2021, 8-9, Wednesday: video (132.3 MB) and jottings
3 November 2021, 9-10, Wednesday: recording not made and jottings
3 November 2021, 11-12, Wednesday: video (212.4 MB) and jottings

5 November 2021, 8-9, Friday: video (235.6 MB) and jottings

Week 4

8 November 2021, 8-9, Monday: video (83.9 MB) and jottings

10 November 2021, 8-9, Wednesday: video (79.1 MB) and jottings
10 November 2021, 9-10, Wednesday: video (76.4 MB) and jottings
10 November 2021, 11-12, Wednesday: video (96.2 MB) and jottings

12 November 2021, 8-9, Friday: video (91.2 MB) and jottings

Week 5

15 November 2021, 8-9, Monday: video (92.8 MB) and jottings

17 November 2021, 8-9, Wednesday: video (86.2 MB) and jottings
17 November 2021, 9-10, Wednesday: video (79.6 MB) and jottings
17 November 2021, 11-12, Wednesday: video (99.8 MB) and jottings

19 November 2021: 8-9, Friday: No tutorial class


Week 6

22 November 2021: 8-9, Monday: No tutorial class

24 November 2021: 8-9, Wednesday: video (101.9 MB) and jottings
24 November 2021: 9-10, Wednesday: video (61.1 MB) and jottings
24 November 2021: 11-12, Wednesday: video (100.8 MB) and jottings

26 November 2021: 8-9, Friday: video (87 MB) and jottings


Week 7

29 November 2021: 8-9, Monday: video (73.5 MB) and jottings

1 December 2021: 8-9, Wednesday: video (86.4 MB) and jottings
1 December 2021: 9-10, Wednesday: video (82.3 MB) and jottings
1 December 2021: 11-12, Wednesday: video (93.6 MB) and jottings

3 December 2021: 8-9, Friday: No tutorial class as the day was a public holiday

Week 8 - no tutorials in this week

Week 9

20 December 2021: 8-9, Monday: video (70.3 MB) and jottings

No tutorial for the rest of the week because of the nation wide flooding


Week 10

27 December 2021: 8-9, Monday: video (76.3 MB) and jottings

29 December 2021: 8-9 Wednesday: video (76.7 MB) and jottings
29 December 2021: 9-10 Wednesday: video (76.8 MB) and jottings
29 December 2021: 11-12 Wednesday: video (98.6 MB) and jottings

31 December 2021: 8-9 Friday: video (88.6 MB) and jottings


Week 11

3 January 2022: 8-9, Monday: video (65.9 MB) and jottings


5 January 2022: 8-9, Wednesday: video (74.2 MB) and jottings
5 January 2022: 9-10, Wednesday: video (63.8 MB) and jottings
5 January 2022: 11-12, Wednesday: video (82.3 MB) and jottings

7 January 2022. Tutorial class is postponed


Week 12

10 January 2022: 8-9, Monday: video (82.7 MB) and jottings

12 January 2022: 8-9 Wednesday: no tutorial 
12 January 2022: 9-10 Wednesday: no tutorial
12 January 2022: 11-12 Wednesday: no tutorial

14 January 2022: 8-9 Friday: no video as I forgot to record the meeting and jottings


Week 13

17 January 2022: 8-9, Monday: video (73.4 MB) and jottings

19 January 2022: 8-9, Wednesday: video (69.6 MB) and jottings
19 January 2022: 9-10, Wednesday: video (63.9 MB) and jottings
19 January 2022: 11-12, Wednesday: video (97 MB) and jottings

21 January 2022: No tutorial

Week 14

24 January 2022: 8-9, Monday: video (76.5 MB) and jottings

26 January 2022: 8-9, Wednesday: video (87.1 MB) and jottings
26 January 2022: 9-10, Wednesday: video (80.9 MB) and jottings
26 January 2022: 11-12, Wednesday: video (92.7 MB) and jottings

28 January 2022: 8-9, Friday: video (92.4 MB) and jottings


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

Proof of the law of syllogism and correction
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 and solution to question 9a
Tutorial 4: questions on determinant and solutions to selected problems
Tutorial 5: questions on adjoint and solutions to selected problems
Tutorial 6: questions on linear independence of vectors and solutions to selected questions
Tutorial 7: questions on eigenvalues and eigenvectors and solutions to selected question



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)




Warning: What follows are old course notes/ tutorial questions/ solutions that may contain errors. Always refer to the latest ones


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