MATH2433

Calculus and Analytic Geometry III (Fall 2015)

Instructor: Dr Robert Tang

Section 1: Tues and Thur 9:00 am - 10:15 am in PHSC 359
Section 2: Tues and Thur 12:00 pm - 1:15 pm in PHSC 102
Office hours: Tues 10:30 - 11:30 in PHSC 1024

Here is the information sheet for the course. You can download a weekly outline of topics here (though this may vary slightly as the term goes on).

Homework

Weekly homeworks are due at the beginning of the Thursday lectures. Please include your full name, student number, homework number and the course and section number (MATH2433, section 1 or 2). Remember to staple your homework if using more than one sheet of paper.

In order to get a good grade on your homework, you must show correct working and reasoning. Conversely, if you arrive at the correct answer with little indication of working, you will receive very few points. Please put in an effort to ensure that your homework is presentable and can be easily read.

You do not need to submit your solutions to questions listed as practice. If you have access to a mathematical software package, feel free to also attempt the questions requiring computer assistance.

(Try refreshing the page if the latest homework is not showing up.)

HW 1 (Due Thu 3 Sep): Section 12.1 Q12, 34; Section 12.2 Q6, 22, 36, 44.
Practice: All of Section 12.1 except Q39; All of Section 12.2.
(Note: I will cover the material relating to components, standard basis vectors, and length on Week 2 Tuesday.)
HW 2 (Due Thu 10 Sep): Section 12.3 Q12, 20, 46, 64; Section 12.5 Q28, 56.
Practice: All of Section 12.3 except Q33 - 38; Section 12.5 Q23 - 25, 28, 29, 41 - 44, 51 - 56, 67.
HW 3 (Due Thu 17 Sep): Section 12.4 Q16, 28, 46; Section 12.5 Q12, 32, 76.
Practice: All of Section 12.4 and Section 12.5.

Note: I will be going through some sections from Chapters 10 and 13 in parallel since they cover the same concepts, but differ only in use of Cartesian or vector equations.

Update 25 Sep: My plan is to now complete the vectors part of the course by the end of next week (1 Oct). This means I will go through Sections 13.3 and 13.4, covering curvature, velocity and acceleration. Then I will move on to the remaining sections of Chapter 10 (most likely after the first midterm).

HW 4 (Due Thu 24 Sep): Section 10.1 Q14, 38, 40; Section 13.1 Q16, 40, 48.
Practice: All of Section 10.1 and Section 13.1.
HW 5 (Due Thu 1 Oct): Section 10.2 Q27; Section 13.2 Q24, 28, 42; Section 13.3 Q4, 14.
Practice: Section 10.2 Q1 - 29, 37 - 56; All of Section 13.2; Section 13.3 Q1 - 16.
HW 6 (Due Thu 15 Oct): Section 13.3 Q20, 30, 32; Section 13.4 Q16, 32, 40.
Practice: Section 13.3 Q17 - 56; All of Section 13.4.
HW 7 (Due Thu 22 Oct): Section 10.3 Q12, 26, 66; Section 10.4 Q8, 28, 44.
Practice: All of Section 10.3; Section 10.4 Q1 - 44.
HW 8 (Due Thu 29 Oct): Section 10.5 Q14, 46, 56; Section 12.6 Q12, 46, 49.
Practice: All of Section 10.5 and Section 12.6.
HW 9 (Due Thu 5 Nov): Section 11.1 Q12, 64, 87; Section 11.2 Q18, 69; and the following.
Question A: Show that 1 + 3 + 5 + 7 + ... + (2n-3) + (2n-1) = n².
Use this to find the sum of all odd numbers between 0 and 100.
HW 10 (Due Thu 3 Dec): Section 11.7 Q6, 10, 16, 22, 26, 32.
Practice: All of Section 11.7.

Midterms

The first midterm will be held in class on Thursday 8 October. It will be 75 minutes long. Here is a revision guide to help you prepare. Here is the front page containing some important information. Here are the solutions.

The second midterm will be held in class on Thursday 12 November. It will be 75 minutes long. Here is a revision guide to help you prepare. Here are the solutions.

Final Exam

The final exam will be held on Monday 14 Dec at 8am (Section 1) or Wednesday 16 Dec at 1:30pm (Section 2). It will be 2 hours long. Here is a revision guide to help you prepare. Please also go over the previous two revision guides.