Home Page for Math 1X03 Calculus for Math and Stats I: 2008-09

Textbook:  Calculus: early transcendentals,  6th edition, J. Stewart, Thomson Brooks/Cole.
Course objective: The study of the differential and some integral calculus, with an emphasis on understanding the underlying ideas. Topics include

Instructor

Dr. D. Haskell, HH316, ext.27244
Course meeting time: MR 9:30-10:20, T 10:30-11:20 BSB136
E-mail: haskell@math.mcmaster.ca
Office hours: M 11:30-12:30, R 10:30-12:30

Teaching Assistant Carolyn Junkins junkinc@math.mcmaster.ca, office hours in Math Help Centre HH104
Tutorial: M 10:30-11:20 BSB136

Course assessment in brief (consult the  course information sheet  for more detailed information).
WebAssign quizzes: 10%
Homework: 5%
Midterms: 20% each
Final: 45%

Math Help Centre in HH104 M-R 14:30-10:30, F 14:30-18:30. Drop-in for help from TAs, or work on problems with other students.

ANNOUNCEMENTS

4 December 2008 All review sessions will be in CHN B107 (see below for times).

2 December 2008 All marks are now posted on WebAssign. From the Math 1X homepage, go to Grades/My Scores Summary. Click on Exams(2) and assignment(9) to check that the correct marks are recorded.  Let me know by Friday, Dec 5 at the latest if there are any mistakes.

2 December 2008 Final Exam Information The final exam is on Wednesday, December 17, 12:30-3:30. Information about rooms can be found on the registrar's website: http://registrar.mcmaster.ca/scheduling/examfinalb.php# .

The final exam will have 6-10 problems; you must do all of them. There will be a formula sheet; a copy is posted here so that you know what to expect. DO NOT BRING THIS FORMULA SHEET INTO THE EXAM ROOM.
A practice final is posted here. The practice final is given only as something for you to work on; you should not expect the real final to be identical in terms of number of problems or ordering of topics.
The final exam will cover all of the material of the course. The lists of topics for each midterm is a good guide for what to study for the final exam (as well as chapter 7, of course).  Here is a partial list of topics that you do not need to know:
-the definition of e; the change of base theorem for logs
-the squeeze theorem for limits
-arccosec, arcsec, arccot as functions; derivatives of inverse trig functions (the most important ones are in the antiderivatives tables)
-logarithmic differentiation
-hyperbolic functions
-the mean value theorem
-partial fractions with repeated irreducible quadratic factors

2 December 2008 Help during the exam period. The Math Help Centre will be running; check its website for hours.
I will be holding office hours at the following times.
M 11:30-12:30, Th 10:30-12:30 until Dec 15
You may also consult the Math 1A instructors.
Dr T. Klein: M 15:30-16:30, Th 13:30-14:30 until Dec 15
Dr J. Marikova: T Dec 2 10:30-11:30, F Dec 5 11:00-12:00

Review Sessions (joint with Math 1A) will be held as follows (rooms will be posted soon) (you may attend any or all of the review sessions)
Dr D. Haskell: Monday Dec 15 13:30-15:30
Dr T. Klein: Friday Dec 12 13:30-15:30
Dr J. Marikova: Tuesday Dec 16 13:30-15:30
These sessions will be student-driven - come prepared with questions that you want answered.

24 November 2008 Quizzes 9 and 10 are now available. Quiz 9 is due Friday, Nov 28 at midnight. Quiz 10 is due Monday, Dec 1 at midnight.

8 November 2008 ALERT Section 4.7 was inadvertently left off the list of topics below for the midterm. Optimisation is a topic for the midterm; here are some problems  14, 29, 36 on p. 329.

6 November 2008 Arrangements for Midterm 2 are the same as for Midterm 1. Review sessions will be run by Colin and Carolyn in ABB102 and TSH B105 6:30-8:30 on the evening of Monday, Nov 10. The exam is 6:45-7:45 on the evening of Tuesday, Nov 11. Room assignments are alphabetically by family name: Name begins with: A -- L : ABB 136
Name begins with: M -- Z: JHE 326 H

Anyone with a scheduled conflict must contact Dr Haskell haskell@math.mcmaster.ca by Monday, Nov 10 with your name, student number, and reason for the conflict. The make-up time is 4:30-5:30 on Tuesday, Nov 11.

4 November 2008 Revision to list of topics for midterm 2: sections 6.4 and 6.5 WILL NOT be on the midterm.

1 November 2008 Here are some recommended problems to review for midterm II. The sections listed are the ones that will be covered by the exam:
3.10: 23, 27
4.8: 15, 33
5.1: 3, 19
5.2:  3, 33
5.3: 5, 13, 31
5.4: 11, 27, 53 You should know the table of indefinite integrals on p. 392
5.5: 35, 59
6.1: 3, 15, 31
6.2: 11, 17
6.3: 5, 11,
6.4: 5, 13
6.5: 5, 15
And here is a practice midterm, so that you can see what the real one might be like. Solutions WILL NOT be posted. The TAs will go through the practice midterms during the review sessions on Monday evening before the exam. You can also ask any of the instructors, or any TA in the Math Help Centre to look over your work.

2 October 2008 In Question 5 of the practice midterm, the derivatives of the function are given incorrectly. They should be:
f'(x) = (-1/x^2)(1 + 2/x) and f''(x)= (1/x^3)(3 + 8/x). Thanks to Michelle and Adam for finding the mistake.

1 October 2008 Corrections to the test rooms below.

29 September 2008 Here are some recommended problems to review for the midterm. The sections listed are the ones that will be covered by the exam:
1.2: 6
1.3: 20, 21
1.5: 9, 19
1.6: 18, 49
2.2: 6, 9, 28
2.5: 43 b, 44, 47, 39
2.6: 3, 27, 29, 31
2.7: 5, 19
2.8: 5, 41
3.1: 33, 47
3.2: 49,52
3.3: 23, 45
3.4: 94, 76, 78
3.6: 19, 31
4.4: 61, 47
4.3: 7, 27, 50
4.1: 4, 28, 61
4.5: 21, 51, 35
And here is a practice midterm, so that you can see wht the real one might be like. Solutions WILL NOT be posted. The TAs will go through the practice midterms during the review sessions on Monday evening. You can also ask any of the instructors, or any TA in the Math Help Centre to look over your work.

29 September 2008 Midterm 1 is scheduled for Tuesday, October 7, 6:45-7:45 pm. The rooms are organised alphabetically by family name. You should go to the room indicated in the folowing table.
Name begins with: A -- L : ABB 136
Name begins with: M -- Z: JHE 326 H (corrected from 326)


4 September 2008 There seems to be some confusion about the textbook. The required text is Stewart's "Calculus: Early Transcendentals" 6th edition, and access to WebAssign. If you buy the package new from Titles Bookstore, the cost is $181.75. Note that the package includes solution manuals for the entire book, and access to WebAssign for two semesters, so you should think of this as the cost of books for two semesters. If you do not buy the package, you will have to buy access to WebAssign online, and this costs $25 for each semester. If you do not have the 6th edition, you are responsible for knowing any discrepancies between the books.

Calendar


Week
 Topic
 Remarks
 Tutorials
Week 0
Sept 4 - 5
 Introduction
 Take the two diagnostic tests this weekend.
Week 1
Sept 8 - 12		 Curve sketching
Products and compositions of polynomials, exponentials, trigonometric functions 1.2, 1.3, 1.5, 1.6
Review of derivatives
Definition of the derivative: secant lines, limits, derivative as a function 2.7, 2.8
Trigonometric, exponential and logarithmic derivatives 3.3, 3.6
 Quiz 1 covers sections
1.2, 1.3, 1.5, 1.6, 2.7, 2.8
Homework 1 sec 2.7 #52
Due Sept 16
Introduction to  WebAssign; review of differentiation rules
Week 2
Sept 15 - 19
 Review of derivatives
Brief proofs of sum, product, quotient, chain rules for derivatives (review limit laws) 3.1, 3.2, 3.4
Curve sketching
Limits at a point, continuity, limits at infinity, asymptotes 2.2, 2.5, 2.6
 Quiz 2 covers sections
3.3, 3.6, 3.1, 3.2, 3.4, 2.2, 2.5
Homework 2 sec 3.4 #94
Due Sept 23
 Project 2.7 due Sept 25 (optional)
Review calculating limits
Week 3
Sept 22 - 26
 Curve sketching
Rates of growth; L'Hospital's rule 4.4
Derivatives and the shape of the graph 4.3
 Quiz 3 covers sections
2.3, 2.5, 4.3, 4.4
Homework 3 sec 4.4 #82
Due Sept 30
Finding limits at infinity
Week 4
Sept 29 - Oct 3		 Curve sketching
Max and min values 4.1
Putting it all together 4.5
 Midterm 1 covers everything so far up to and including section 4.5.
Date 7 Oct, 6:45-7:45 pm (correction) 		Review for midterm I
Projects 3.1 and 3.4 due Oct 2  (optional) changed to Oct 16
Week 5
Oct 6 - 10
 Applications of derivatives
Optimisation 4.7
Linear Approximation 3.10
 Quiz 4 covers sections
to be determined
Homework 4 sec 4.5 #70
Due Oct 14
Optimisation examples
Week 6
Oct 14 - 20		 Applications of derivatives
Newton's method 4.8
Integrals
Areas and distance 5.1
The definite integral 5.2
 Quiz 5 covers sections
4.8, 5.1
Homework 5 sec 3.10 #44
Due Oct 21 		Linear approximation
Project 4.1 due Oct 16 (optional)
changed  to Oct 30
Week 7
Oct 21 - 27
 Integrals
The fundamental theorem 5.3
Indefnite integrals 5.4
 Quiz 6 covers sections
5.2, 5.3, 5.4
Homework 6 sec 5.1 #26
Due Oct 28 		Properties of the definite integral/estimating integrals from numerical data
Week 8
Oct 28 - Nov 3
 Integrals
Substitution 5.5
Applications of Integrals
Area between curves, volume 6.1, 6.2
 Quiz 7 covers sections
5.5, 6.1, 6.2
Homework 7 sec 5.5 #88
Due Nov 4 		Using the fundamental theorem to calculate definite integrals
Week 9
Nov 4 - 10		 Applications of Integrals
Cylindrical shells, work, average value 6.3, 6.4, 6.5

 Midterm 2 covers everything from
4.7 through  6.5
Date 11 Nov, 6:45-7:45 pm
 Setting up integrals: area, work etc
Review for midterm II
Week 10
Nov 11- 17		 Techniques of integration
Numerical integration 7.7
7.1 Integration by parts

Quiz 8 covers sections
7.7, 7.1 (changed)
Homework 8 sec 7.1 #64
Due Nov 18 		Integration by parts
Week  11
Nov 18 - 24
 Techniques of integration
7.2 Trigonometric integrals
7.3 Trigonometric substitution

 Quiz 9 covers sections
7.2, 7.3 (changed)
Homework 9 sec 7.3 #40
Due Nov 25 		Trig integrals
Week 12
Nov 25 - Dec 1
 Techniques of integration
7.4 Partial Fractions
7.5 Integration strategies
Review
 Quiz 10 covers sections
7.4, 7.5 (changed)
Homework 10 sec 7.5 #70
Due Dec 1 - note early deadline 		Integration strategies


 

Calendar of assignments

Hints to some of the problems can be found at the website for the textbook: Tools for Enriching Calculus
Many of these problems are posted in the relevant problem section on WebAssign. When you submit the problems online, marks and hints are available.
Week
 Section
 Recommended
 Further
 Required
Week 1 Sept 8 - 12 1.2 pp 34-37
 5
 3, 4, 19, 20

1.3 pp 43-46
 28
 26, 27, 65

1.5 pp 58-59
 11
 13, 15

1.6 pp 70-72
 46
 25, 26

2.7 pp 150-153
32, 35, 26
 52

2.8 pp 162-165
 3
 4-11, 43

3.3 pp 195-197
 31
 4, 10, 33, 41

3.6 pp 220
 35
 33, 36
Week 2 Sept 15 - 19 3.1 pp 180-182
 69
 59, 80

3.2 pp 187-189
 50
 47, 48

3.4 pp 203-206
 82
 59, 69, 79
 94

2.2 pp 97-99
 15
 8, 27

2.5 pp 128-130
 41
 38, 51

2.6 pp 140-143
 47
 2, 17, 25, 33
Week 3 Sept 22 - 26 4.4 pp 304-306 29, 52
 42, 59, 79
 82

4.3 pp 295-298
 62
 5, 8, 11, 73a
Week 4 Sept 29 - Oct 3 4.1 pp 277-279
 5
 22, 49, 53

4.5 pp314-315
 17, 19, 25, 41
70
Week 5 Oct 6 - 10 4.7 pp328-333
 17, 33, 55, 63


3.10 pp 252-253
 21
 2, 17, 35
 44
Week 6 Oct 14 - 20 4.8 pp 338-340
 29, 31
 5, 15, 38

5.1 pp 364-366
 11, 17
 2, 3, 21
 26

5.2 pp 376-378
 5, 9
 3, 17
Week 7 Oct 21 - 27 5.3 pp 387-390
 4, 9, 19-42, 43
 63, 65

5.4 pp 397-399
 5-18, 21-44

Week 8 Oct 28 - Nov 3 5.5 pp 406-407
 7-46, 51-70
88

6.1 420-421
 5-28
 43, 44

6.2 430-433
 5, 9, 13, 31
 47, 52, 63
Week 9 Nov 4 - 10 6.3 436-437
 4, 14, 16, 19


6.4 441-442
 5, 9, 30


6.5 445
 9, 11, 16

Week 10 Nov 11- 17 7.7 505-507
 1, 6, 22


7.1 457-459
 3, 11, 15, 22, 24, 25, 47, 48, 49

Week  11 Nov 18 - 24 7.2 465-467
 3, 6, 14, 19, 26, 28, 37, 43, 44, 45, 46, 50


7.3
 7, 9, 11, 12 ,16 ,21 ,24 ,29 ,33.

Week 12 Nov 25 - Dec 1 7.4
  21, 23, 27, 35, 37, 41, 44, 51


7.5
 1, 4, 6, 7, 9, 17, 18, 22, 24, 27, 36,
41, 43, 61, 66, 68, 73