MATH 2310 - Intermediate Calculus I

MATH 2310 - Intermediate Calculus I (Fall 2007)

last-updated-17-Dec-2007

Instructor		James Muir, McNally North Wing (MN) 101, 420-5788 (office phone), jamuir at cs dot smu dot ca
lectures		10:00am - 11:15am Monday & Wednesday in McNally East Wing (ME) 110, Sept 5 - Nov 30
recitations		Section A, 10:00am - 11:15am Friday in Loyola Academic Complex (LA) 191 Section B, 1:00pm - 2:15pm Friday in Loyola Academic Complex (LA) 191
office hours		11:30am - 5:30pm Thursday in MN 101

Announcements ------------- *[17 Dec] The final grades have been posted. *[14 Dec] The exams have been marked and final grades have been tabulated. I will post the final grades on the web page at the end of the exam period (on 18 Dec). Note that I have included some more detailed information below about how your final mark is calculated. *[8 Dec] I will hold additional office hours Monday morning (10 Dec) from 10am to 12pm. *[5 Dec] A minor typo in the solutions to Quiz 10 has been pointed out. See the note below. *[4 Dec] My office hours on Wednesday, 5 Dec have been rescheduled to 2-5pm. Office hours on Thursday (6 Dec) and Friday (7 Dec) are still 1-4pm. *[28 Nov] Some notes about the final exam have been posted. *[27 Nov] Problem Set 11 has been posted. Remember that there is no quiz this Friday. However, we will still meet during the normal recitation time to discuss any questions you might have on the problems. *[23 Nov] Solutions to Quiz 10 have been posted. *[21 Nov] Problem Set 10 has been posted. *[16 Nov] Solutions to Quiz 9 have been posted. *[14 Nov] Problem Set 9 has been posted. *[9 Nov] Solutions to Quiz 8 have been posted. Don't forget about Bonus Question number 3! Also, the time and location for the final examination has been posted. *[7 Nov] Problem Set 8 has been posted. *[2 Nov] Solutions to Quiz 7 have been posted. Note that the file format has changed. The solutions are no longer a series of jpeg files. I am now using a file format called .djvu which should make the solutions easier for you to browse and print. Let me know if you have difficult viewing this format. *[2 Nov] Bonus Question 3 has been posted. *[30 Oct] Problem Set 7 has been posted. *[30 Oct] The midterms have been marked and the file of course marks has been updated. Solutions to the midterm have also been posted. *[26 Oct] Solutions to Quiz 6 have been posted. *[23 Oct] Problem Set 6 has been posted. *[22 Oct] Some notes about the midterm have been posted. *[19 Oct] Solutions to Quiz 5 have been posted. *[16 Oct] A file containing the current course marks has been posted. It does not contain any identifying information. You may wish to check this file to see that your marks have been recorded correctly. *[15 Oct] Problem Set 5 has been posted. *[12 Oct] Solutions to Quiz 4 have been posted. Don't forget about Bonus Question 2! *[10 Oct] The SMU Math and Computing Science Society is holding a membership drive tonight (10 Oct.) from 7pm-9pm in LA 176. This is an informal meet and greet with free pizza and pop. Memberships are $5. *[5 Oct] FYI: The SMU Math and Computing Science Society holds weekly help sessions. These are open to any society member ($5 membership). Students from any class may attend and ask for help on assignments, labs, getting ready for tests, etc... Upper level students are available to give help. See http://cs.smu.ca/~smumacss/ for more information. *[4 Oct] Problem Set 4 has been posted. *[2 Oct] Bonus question 2 has been posted. It is due Monday, 15 October. *[30 Sept] Solutions to Quiz 3 have been posted. *[28 Sept] The MIDTERM has been scheduled for MONDAY, 29 OCTOBER. It will be held in class (i.e. during lecture time). *[25 Sept] Problem Set 3 has been posted. A good way to prepare for Friday's quiz is to attempt the problems and to read over your lecture notes. *[21 Sept] Solutions to Quiz 1 and Quiz 2 have been posted. *[20 Sept] If you are a Computer Science student, then you may be eligible for a Squires Foundation scholarship. The Squires Foundation is seeking more scholarship applicants in the hopes that they can give out all of their award money. If you are interested in applying, then go to http://www.iticanada.ca/squires/ . *[19 Sept] An advertisement for the "Math in Moscow" program has been posted. *[17 Sept] Problem Set 2 has been posted. It includes notes on writing proofs. *[12 Sept] In Problem Set 1, you might find the following facts useful. P NOR Q means NOT(P OR Q). It can be shown that NOT(P OR Q) is equivalent to (NOT P) AND (NOT Q). P NAND Q means NOT(P AND Q). It can be shown that NOT(P AND Q) is equivalent to (NOT P) OR (NOT Q). *[11 Sept] Problem Set 1 has been posted. Working through some of the problems listed there is a good way to prepare for the upcoming quiz. *[10 Sept] An advertisement for a weekly Problem Solving Seminar has been posted. *[6 Sept] Bonus question number one has just been posted to the webpage. *[27 Aug] There will be no recitations held on Friday, 7 Sept.

Course Information Sheet

Here is the course information sheet.

Course description (from the University Calendar)

This course consists of the study of the "epsilon-delta" definition of limits and continuity; the least upper bound axiom; completeness of the real line; the intermediate value theorem; and the monotone convergence theorem. This course also provides an introduction to compactness in various forms. Infinite sequences and series are discussed from a more rigorous perspective than MATH 1211. These ideas are extended to two-dimensions and to the complex numbers. Additional topics may include: elementary asymptotics; the big-Oh notation; power series as generating functions; uniform convergence and uniform continuity; and Riemann sums and integration.

Classes 3 hours plus recitation 1.5 hours a week. 1 semester.

Prerequisites

MATH 1210 and MATH 1211.

Text (Required)

The required text is Calculus: Early Transcendentals, Fifth Edition by James Stewart (please note that we will be using the Fifth Edition). Note that some topics we will discuss are not found in the text. For such topics, the primary source of information will be lecture notes.

Evaluation

Your final mark will be computed using the following formula:

20% Quizzes  (held during recitations)
30% Midterm  (held during lecture time)
50% Exam  (3-hours, scheduled by the University)

Marks

Here is a list of all course marks collected so far. It does not include any identifying information. To identify which row corresponds to your marks, you need to know your mark on Quiz #1.

Here are some further details about how final marks are tabulated.

Suppose your quiz marks are q1,q2,...,q10, your midterm mark is m and your exam mark is f. 

Your overall quiz mark is Q=(SUM(q1,q2,...,q10)-MIN(q1,q2,...,q10))/(20*9)
(i.e. your worst quiz mark is thrown out.)
The midterm was marked out of 45.  Let M=m/45.
The exam was marked out of 65.  Let F=f/65.
(note that bonus marks are added to your exam mark.)

Your final mark in the course is 
        MAX(20*Q+30*M+50*F, 20*Q+80*F)
This mark is converted into a letter grade.

Midterm

The midterm will be held on Monday, 29 October during lecture time.

Here are some notes about the midterm.

Midterm Solutions: questions p1 p2 p3 p4 p5

Final Exam

The final exam will be held on Monday, 10 December, 7pm-10pm in SB 160.

Here are some notes about the final exam.

Problem Sets

Problem Set 1
Problem Set 2
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8
Problem Set 9
Problem Set 10
Problem Set 11

Quizzes

Here are scanned solutions for each quiz

Quiz 1: page1, page2
Quiz 2: page1, page2a, page2b
Quiz 3: page1, page2a, page2b
Quiz 4: page1, page2a, page2b
Quiz 5: page1, page2a, page2b
Quiz 6: page1, page2a, page2b
Quiz 7: djvu file (you can find a djvu browser plugin here)
Quiz 8: djvu file
Quiz 9: djvu file
Quiz 10: djvu file [note that there is a minor typo in the solution to question 4. where you see "3^-p+1" it should instead be "(ln 3)^-p+1".]

Bonus Questions

Bonus Question 1
Bonus Question 2
Bonus Question 3

Problem Solving Workshop

Here is an advertisement for a weekly problem solving workshop being held by the Math & Computing Science department. If you are interested in becoming a better problem solver and/or in writing math contests (e.g. APICS contest, Putnam contest), then you are encouraged to attend. (note that this is an extracurricular workshop; it is not a component or requirement of MATH 2310)

NSERC - CMS Math in Moscow Scholarships

The Natural Sciences and Engineering Research Council (NSERC) and the Canadian Mathematical Society (CMS) offer scholarships valued at $9,000 each for students to attend a semester at the small elite Moscow Independent University. Canadian students registered in a mathematics or computer science program are eligible.

See the following for more information:

Math in Moscow program

Application details

If you have questions about the program, you can call the CMS at 613-562-5702.

The application deadline to attend the Winter 2008 semester in Moscow is September 30, 2007.

Schedule

Week 1: 5 Sept Lecture; ~~7 Sept~~ No recitation
Week 2: 10 Sept Lecture; 12 Sept Lecture; 14 Sept Recitation
Week 3: 17 Sept Lecture; 19 Sept Lecture; 21 Sept Recitation
Week 4: 24 Sept Lecture; 26 Sept Lecture; 28 Sept Recitation
Week 5: 1 Oct Lecture; 3 Oct Lecture; ~~5 Oct~~ No recitation
Week 6: ~~8 Oct~~ Thanksgiving Day. No classes.; 10 Oct Lecture; 12 Oct Recitation
Week 7: 15 Oct Lecture; 17 Oct Lecture; 19 Oct Recitation
Week 8: 22 Oct Lecture; 24 Oct Lecture; 26 Oct Recitation
Week 9: 29 Oct Midterm (in class); 31 Oct Lecture; 2 Nov Recitation
Week 10: 5 Nov Lecture; 7 Nov Lecture; 9 Nov Recitation [note that 9 Nov is the last day to withdraw from this course without academic penalty]
Week 11: 12 Nov Lecture; 14 Nov Lecture; 16 Nov Recitation
Week 12: 19 Nov Lecture; 21 Nov Lecture; 23 Nov Recitation
Week 13: 26 Nov Lecture; 28 Nov Lecture; ~~30 Nov~~ No recitation

Policies

This web page is the primary source for announcements and materials related to this course. Please check it regularly.
Students are expected to be familiar with the university policy on Academic Integrity and Student Responsibility found in the 2007-2008 University Calendar (pp. 22--30). There is to be no talking or joint work during quizzes, midterms or exams, unless such activity is explicitly allowed by the instructor. Copying work from another student is always prohibited and offenders will be subject to academic discipline. Note that the penalties for academic offences are quite serious (e.g., a failing grade in the course, required withdrawal for an academic term or year, expulsion from the University, loss of scholarships and bursaries).
Students who need support to help lessen the impact of a disability should contact The Atlantic Centre for Students with Disabilities at the beginning of the term.
Each quiz is mandatory. Any missed quiz will receive a score of zero, unless a proper medical or compassionate excuse is provided. Do not make travel plans that conflict with quiz times.
Since a number of topics we will discuss are not found in the text, your attendance in lectures is strongly recommended.

maintained by James Muir