Monday, 22 November 2021

(old) Calculus 1, SIM1002, course materials

Old stuff:


Calculus 1, semester 1 (second half - Mr Bakri), session 2021/2022 



Basic Math workshop Saturday, 29 January 2022, 2-4


The lockdown browser and Respondus monitoring app

Workshop on the lockdown browser and the Respondus monitoring app 


Lectures


Lectures will be conducted online. We will use Microsoft Teams

Tuesdays, 2-4 pm on Microsoft Teams
Thursdays, 2-4 pm in on Microsoft Teams

Tutorial class schedule


May continue with Dr. Deng's schedule



Lecture videos and jottings


Week 7

Thursday, 2 December 2021: video (105.1 MB) and jottings

Week 8

Tuesday, 14 December 2021: video (139.5 MB) and jottings
Thursday, 16 December 2021: video (152.5 MB) and jottings

Week 9

Tuesday, 21 December 2021: video (138.6 MB) and jottings
Thursday, 23 December 2021: video (133.1 MB) and jottings

Week 10

Tuesday, 28 December 2021, 2-4: video (229.2 MB) and jottings
Thursday, 30 December 2021, 2-4: video (216 MB) and jottings


Week 11

Tuesday, 4 January 2022, 2-4: video (144.3 MB) and jottings
Thursday, 6 January 2022, 2-4: video (153.7 MB) and jottings

Week 12

Tuesday, 11 January 2022, 2-4: video (153.6 MB) and jottings
Thursday, 13 January 2022, 2-4: video (160.4 MB) and jottings

Week 13

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

Week 14

Tuesday, 25 January 2022, no lecture, discussion on the final exam for Calculus 1
Thursday, 27 January 2022 no lecture, part 1 exam by Dr Deng

Tutorial questions


Suggested tutorial questions from Thomas' Calculus, 12th Edition

Week 8 (13-17 Dec 2021)
Exercise 3.2 (The derivative as a function)
Questions 3, 6, 26, 41, 42, 46, 47, 48, 54

Exercise 3.3 (Differentiation rules)
Questions 23, 24, 45, 46, 57, 58

Week 9 (20-24 Dec 2021)
Exercise 3.5 (Derivative of trigonometric functions)
7, 11, 22, 30, 57, 58

Exercise 3.6 (The chain rule)
6, 8, 31, 38, 79, 80, 81

Exercise 3.7 (Implicit differentiation)
Questions 19, 23, 42, 45, 49

Week 10 (27-31 Dec 2021)
Exercise 4.1 (Extreme values of functions)
Questions 17, 18, 53, 28, 29, 35, 57, 58, 59, 62, 70, 71

Exercise 4.2 (The Mean Value Theorem)
Questions 14, 16, 17, 19, 20, 21, 22, 28


Week 11 (3-7 Jan 2022)
Exercise 4.3 (Monotonic functions and the first derivative test)
Question 31, 32, 35, 63, 64, 65, 66

Exercise 4.4 (Concavity and curve sketching)
Questions 37, 38, 49, 50


Week 12 (10-14 Jan 2022)
Exercise 5.2 (Sigma notation and limits of finite sums)
Questions 3, 5, 8, 15, 16, 31, 32 

Exercise 5.3 (The definite integral)
Question 27, 28, 60, 61, 62, 77

Exercise 5.4 (The fundamental theorem of Calculus)
Question 33-40, 62, 65


Week 13 (17-21 Jan 2022)
Exercise 5.5 (Indefinite integrals and the substitution method)
Questions 1-5, 10-30, 40-50

Exercise 5.6 (Substitution and area between curves)
Question 6-10, 37-40, 80-81


Week 14 (24-28 Jan 2022)
Revision


Outline notes


The contents of these notes are taken from Thomas' Calculus, 14th Edition, Global Edition. It is intended as a guide to what we will be discussing during lectures.

Course textbook

The textbook used is Thomas' Calculus, 12th Edition, Global Edition, by George B. Thomas, Maurice D. Weir, Joel R. Hass, published by Pearson Education, Inc.

I use the 12th edition because I do not have the solutions to the 14th edition.


Solutions to the course textbook

Complete solutions to the 12th Edition

Saturday, 6 March 2021

(old) SIM 1002, Calculus 1, Semester 2, session 2020-21

 

(old) Lecture videos
 

March

April

 
 
 
 
 
Lectures

Lectures will be conducted online. We will use Microsoft Teams

Tuesdays, 2-4 pm in DKM1 (in person)
Thursdays, 2-4 pm in DKM1 (in person)

Tutorial class schedule

Thursday, 3-4 pm


Tutorial questions

Exercises on the Real Numbers and the Real Line
Solutions to Exercises on the Real Numbers and the Real Line

Suggested tutorial questions from Thomas' Calculus, 12th Edition


Outline notes

The contents of these notes are taken from Thomas' Calculus, 14th Edition, Global Edition. It is intended as a guide to what we will be discussing during lectures.

Course textbook

The textbook used is Thomas' Calculus, 12th Edition, Global Edition, by George B. Thomas, Maurice D. Weir, Joel R. Hass, published by Pearson Education, Inc.

I use the 12th edition because I do not have the solutions to the 14th edition.


Solutions to the course textbook

Complete solution to the 12th Edition