Office hours: Tuesdays and Thursdays 12:45 - 14:00 On Zoom, or by appointment.
Email: firstname dot lastname at umanitoba dot ca
In Fall 2021 I will teach Math 1500, Introduction to Calculus, in University of Manitoba.
All lectures will be delivered on Zoom. Please join the class using the Zoom Link.
All office hours will be held on Zoom. Please join the session using the Zoom Link.
Lecture 1 (Sep. 9, 2021)
Lecture activities: Course Syllabus (Annotated), Schedule (to be updated to reflect the cancellation of classes on Sep 30), Review on trigonometric functions, Recordings
Here are some additional materials for you to review the necessary pre-requisites for the course. These materials cover the contents in Chapter 1 of Stewart's textbook and the current textbook
1.1. Four ways to represent a function,
1.2. Catelogue of essential functions,
1.3. New functions from old functions,
1.4. Exponential functions,
1.5. Inverse functions and logarithms
Professor Lopez has created a video reviewing these materials, which can be access through this UM Learn Link.
You do not need to finish reviewing them by next week. But please make sure you finish going over them by Thanksgiving.
Lexique de mathématiques | Mathematics Glossary (Alberta Education) for people went to French schools and are not familiar with mathematics glossaries in English.
Lecture 2 (Sep. 14, 2021)
Pre-lecture Activities: Watch Video 0 Part 1 and Video 0 Part 2 (Review of algebraic techniques), and attempt all the problems in Exercise 0. Here are the slides for the video.
Lecture activities: Some announcements. Recording. We covered Review of Trigonometric functions (with solutions) and half of Solutions to Exercise 0 (with inequalities and equations of lines). I supplemented some material into the course notes and will address them during the next lecture.
Lecture 3 (Sep. 16, 2021)
Pre-lecture Activities: Watch Video 1 Part 1, Video 1 Part 2 (Limits of a function), and attempt all the problems in Exercises 1. Here are the slides for the video.
Lecture Activities: Recording. We finished the leftovers from Lecture 2 and almost everything in Solutions to Exercise 1, except for the last problem. In the rushed explanation I forgot to mention one important step. I will address it at the beginning of the next lecture.
Lecture 4 (Sep. 21, 2021)
Pre-lecture Activities: Watch Video 2 Part 1, Video 2 Part 2, Video 2 Part 3 (Calculating limits using limit laws), and attempt as many problems in Exercises 2/3 as possible. Here are the slides for the video.
Lecture Activities: Recording. We finished the leftovers last Thursday and the first 8 slides of solutions of Exericse 2/3. On Thursday we should finish everything and start the going over Exercise 3/4.
In class I said something wrong when explaining Problem 2. Please find the correction on the slide 18.
Lecture 5 (Sep. 23, 2021)
Pre-lecture Activities: Watch Video 3 Part 1, Video 3 Part 2 (Continuity), finish all the problems in Exercises 2/3 and attempt as many problems in Exercises 3/4 as possible. Here are the slides for the video.
Lecture activities: Recording. We finished solutions of Exericse 2/3, but only managed to talk about the first few solutions of Exercise 3/4.
Lecture 6 (Sep. 28, 2021)
Pre-lecture Activities: Watch Video 4 Part 1 (Limit at infinity; horizontal asymptotes) and Video 4 Part 2 (Derivatives and rates of change), and attempt all the problems in Exercises 4/5. Here are the slides for the video 4-1, and the slides for the video 4-2.
Lecture activities: Recording. We just managed to finish solutions of Exercise 3/4. Problem 55 should be removed since it is very tricky (though not impossible) to check the numbers without a calculator.
We haven't started Exercise 5/6. The pre-lecture assignments will be reduced for next Tuesday.
To correct the two mistakes in class, I uploaded a Correction Video to Lecture 6 on UM Learn. Please make sure you watch it before the upcoming term test.
Lecture 7 (Sep. 30, 2021)
Moved to the next Tuesday, in observation of National Day for Truth and Reconciliation.
Lecture 7 (Oct. 5, 2021)
Pre-lecture Activities: Watch Video 5 (Derivative as a function), and attempt all the problems in Exercises 5. Here are the slides for the video.
Lecture Activities: Recordings. We finished the first 14 slides of solutions of Exercise 4/5. We covered all problems regarding limits at infinity but only covered a few velocity problems. I will have to think about how to revise our course schedule.
Lecture 8 (Oct. 7, 2021)
Pre-lecture Activities: Watch Video 6 Part 1 (Derivatives of exponential and polynomial functions), Video 6 Part 2 (Product and quotient rules), and attempt all the problems in Exercises 6/7. Here are the slides for the video 6-1, and the slides for the video 6-2.
Lecture Activities: Recording. We finished going over solutions to Exercise 4/5 and the first half of solutions to Exercise 5. Please make sure you can compute the derivative using the definition.
Lecture 9 (Oct. 12, 2021)
No Pre-lecture Activities. We should catch up with the schedule and go over Exercises 5 and Exercises 6/7.
Lecture 10 (Oct. 14, 2021)
Pre-lecture Activities: Watch Video 7 Part 1 (Derivative of trigonometric functions), Video 7 Part 2 (Chain rule) and attempt all the problems in Exercises 7/8. Here are the slides for the video 7-1 and slides for the video 7-2.
Lecture 11 (Oct. 19, 2021)
Pre-lecture Activities: Watch Video 8 Part 1 (Implicit differentiation), Video 8 Part 2 (YouTube playlist of Eddie Woo's review on logarithms) and attempt all the problems in Exercises 8/9. Here are the slides for the video 8-1.