Tuesday, 7 March 2023

(current) Calculus 1, semester 2, session 2022/23

 

Course title: Calculus 1

Course code: SIM1002

 

Telegram group

 

Please join the group at: https://t.me/+ers01-43AiZjNmEy

Any announcement on lecture/tutorial reschedule, cancellation, etc. will be communicated via this group.

 

Microsoft Teams group


Please join the group at:
 
The Team code is: 0y73rr8

 

Lecture schedules

 
Lectures are on:
    Tuesdays, 2-4 in DKM2
    Thursdays, 2-4 in DKM2
 
 

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.



Lecture jottings

Week 1:

 

Week 2:

Tuesday, 21 March 2023: absolute values and intervals

Week 3:

 

Week 4:


Week 5:

Tuesday, 11 April 2023: introduction to limits
 

Week 6

Tuesday, 18 April 2023: lecture is postponed to Thursday, 20 April 2023 
Thursday, 20 April 2023: lecture is postponed to Tuesday, 2 May 2023 


Mid semester break: 24 - 30 April 2023


Week 7:

Thursday, 4 May 2023: public holiday, no lecture
 

Week 8:

Tuesday, 9 May 2023: continuity
Thursday, 11 May 2023: the Intermediate Value Theorem
 

Week 9:

Thursday, 18 May 2023: derivative rules, the chain rule
 

Week 10:

 

Week 11:

Thursday, 1 June 2023: worked example, concavity  

Week 12:

Thursday, 8 June 2023: implicit differentiation
 

Week 13:

Tuesday, 13 June 2023: definite and indefinite integrals  
 
 
 

Tutorial questions from Thomas' Calculus


Tutorial 1 - Exercises A.1 - Appendices p1042

Questions 7, 8, 9, 10, 11, 12, 16, 17, 22, 23, 27, 28


Tutorial 2 – Functions

1. Exercises 1.1: Questions 1-6, 14, 17-22
2. Exercises 1.2: Questions 13, 14, 17-20, 25-34, 57-66
3. Exercises 1.3: Questions 1, 2, 51-54, 55, 61, 62

Tutorial 3 – Limits and Continuity

1. Exercises 2.2: Questions 1, 3, 11, 12, 20-22, 23-42 37-42, 75, 76

Tutorial 4 – Limits and Continuity

1. Exercises 2.4: Questions 21-42,
2. Exercises 2.5: Questions 44-46,
3. Exercises 2.6: Questions 23-36, 99-104
 

Tutorial 5 – Derivatives

1. Exercises 3.2: 1, 3, 4, 6, 23-26
2. Exercises 3.3: 8, 12, 13, 15, 17, 18, 23, 41, 44, 45, 49, 50 

Tutorial 6 – Trigonometric functions, the chain rule, implicit differentiation

1. Exercises 3.5: Questions 1–18
2. Exercises 3.6: Questions 19, 20, 33, 34, 57, 58
3. Exercises 3.7: Questions 1–18, 31-35, 41, 50

Tutorial 7 – Applications of derivatives

1. Exercises 4.1: 23-25, 29, 42, 46, 47, 48, 49, 53, 57, 85
2. Exercises 4.2: 1-6, 15-22,
3. Exercises 4.3: 41, 45, 47, 50, 52, 63-66, 94
4. Exercises 4.4: 12, 16, 31, 32, 49, 50, 91-94
5. Exercises 4.7: 1, 5, 7, 10, 23, 32, 34, 49-54

Tutorial 8 – Integrals

1. Exercises 5.3: 15-22, 71, 72, 73
2. Exercises 5.4: 33-46,
3. Exercises 5.5: 1-16, 17-50
4. Exercises 5.6: 51-58, 59-66, 71-74, 78-82





Solutions to the course textbook


Complete solutions to the 12th Edition
 
 
 



 
 

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Sunday, 13 March 2022

(old) calculus 1, semester 2, session 2021/2022

(old) Calculus 1, semester 2 (first half - Mr Bakri), session 2021/2022



Lecture videos and jottings


Week 1

Monday, 14 March 2022: video (106.5 MB) and jottings
Wednesday, 16 March 2022: video (103.3 MB) and jottings

Week 2

Monday, 21 March 2022: video (162.9 MB) and jottings
Wednesday, 23 March 2022: video (139.1 MB) and jottings

Week 3

Monday, 28 March 2022: video (147.6 MB) and jottings
Wednesday, 30 March 2022: video (148.9 MB) and jottings

Week 4

Monday, 4 April 2022: video (147.9 MB) and jottings
Wednesday, 6 April 2022: video (147.3 MB) and jottings

Week 5

Monday, 11 April 2022: video (173.8 MB) and jottings
Wednesday, 13 April 2022: video (142.9 MB) and jottings

Week 6

Monday, 18 April 2022: video (xxx.x MB) and jottings
Wednesday, 13 April 2022: video (142.9 MB) and jottings
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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
Posted by at No comments:

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
Posted by at No comments:

Sunday, 17 February 2019

(old) SIM 1002, SJEM 1111 - Calculus 1, Semester 2, session 2019-20


(old) Lectures


Tuesdays, 2-4 pm in DKM1
Thursdays, 2-4 pm in DKM1

Tutorial class schedule

To be decided...


 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
Posted by at No comments:
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