MAT 1320 C  - Calculus I
Fall 2013


Description: Intuitive definition of limits; continuity, statement of intermediate value theorem. Quick review of basic derivative formulas: products, chain rule, exponentials, and trigonometric functions. Derivatives of quotients, logarithms, inverse trigonometric functions. Finite difference approximations of derivatives. Analysis of functions via the first and the second derivatives; statements of extreme and mean value theorems. L'Hospital's rule. Implicit differentiation, related rates, optimization, linear approximation, Newton's method. The definite integral and the fundamental theorem of calculus. Antiderivatives of elementary functions, integration by parts. Numerical integration: mid-point, trapezoidal rule and Simpson's rule; error analysis.

Prerequisite: One of MAT1339, Ontario 4U Calculus and Vectors (MCV4U) or an equivalent. The courses MAT1320, MAT1300, MAT1308, MAT1330 cannot be combined for credits.

Course: Monday and Wednesday 19:00-20:30, SITE A0150.

DGDs: Monday 17:30-19:00, SCS E217

Office hours:  Monday 12:30-14:00.

Book: James Stewart, "Calculus Concepts and Contexts", 4th edition.

Evaluation: Two partial exams worth 20% each to be held October 2nd, 2013 and on November 13th 2013; homeworks worth a total of 10%; one final exam worth 50%.

If your mark on the final exam is below 40%, then you get an automatic F for the term.

If you miss the mid-term exam, then its weight will be transferred to the final. There will not be any make up exam.

Homework: Electronic assignments will be completed using a web-based software called Maple TA.

·         Your username is your student number.

·         To find your password, log in to Blackboard and our course MAT1320 A. Your password will appear in a column entitled “Maple TA Password'” in your GradeBook.

·         Log on to the Maple TA website at http://place32.placementtester.com:8080/uottawa/login/login.do.

·         The first assignment is ``How does Maple TA work?''. Please log in and complete this assignment to familiarize yourself with the system.

·         Having problems?  Please consult the F.A.Q. on our website. The TAs will also provide a live demonstration during the first DGD.

·         Please note that server access will be slower during peak times (such as a few hours before the deadline) -- plan ahead and avoid frustration.

Please note that one assignment mark will be dropped (lowest or missing grade) in the calculation of your final grade.

Extra Help: Need Help in addition to your weekly DGD, the Lectures, and the Professor's Office hours, you can get help at the Mathematics Help Centre http://www.mathstat.uottawa.ca/ugrad/help_center_en.html. The Help Centre is located in Marion 021. It is open Monday -- Thursday 10:00 -- 19:00 and Friday 10:00 -- 15:00.

The staff at the Help Centre and the TAs in the DGDs will be pleased to help you solve the practice problems or other problems from the text, but not problems for the next assignment. If you have difficulties with an assigned problem, ask for help with a similar problem from the text instead. If you have difficulties with the material presented in the lectures rather than with particular problems, see your professor during office hours or make an appointment.


Lectures

·         Week 1

o   Wed. Sept. 4 sections 1.1, 1.2

·         Week 2

o   Mon. Sept. 9 sections 1.3, 1.5

o   Wed. Sept. 11 sections 1.6, App C

·         Week 3

o   Mon. Sept. 16 sections 2.1, 2.6

o   Wed. Sept. 18 sections 2.6, 2.7

·         Week 4

o   Mon. Sept. 23 sections 2.8, 3.1

o   Wed. Sept. 25 sections 3.2, 3.3

·         Week 5

o   Mon. Sept. 30 sections 3.4, 3.5

o   Wed. Oct. 2 Test 1. Covers sections 1.1 - 3.3

·         Week 6

o   Mon. Oct. 7 sections 3.5, 3.6

o   Wed. Oct. 9 sections 3.7, 3.9

·         Week 7

o   Mon. Oct. 21 sections 4.1, 4.2

o   Wed. Oct. 23 sections 4.3

·         Week 8

o   Mon. Oct. 28 sections 4.5

o   Wed. Oct. 30 sections 4.6

·         Week 9

o   Mon. Nov. 4 sections 4.7, 4.8

o   Wed. Nov. 6 sections 5.1, 5.2

·         Week 10

o   Mon. Nov. 11 sections 5.2, 5.3

o   Wed. Nov. 13 Test 2. Covers sections 3.4 - 4.8

·         Week 11

o   Mon. Nov. 18 sections 5.3, 5.4

o   Wed. Nov. 20 sections 5.5

·         Week 12

o   Mon. Nov. 25 sections 5.6

o   Wed. Nov. 27 sections 5.7, App G

·         Week 13

o   Mon. Dec. 2 sections 5.9


Suggested Exercises

 

1.1 p21 # 1, 9, 23, 25, 27, 33

1.2 p35 # 1, 3, 9, 15

1.3 p43 # 1, 3, 5, 27, 31, 33, 35, 41, 43, 45, 51

1.5 p59 # 19, 21, 23, 29, 31

1.6 p69 # 5, 7, 9, 11, 15, 17, 19, 21, 23, 25, 29, 49, 51, 55

App C pA25 # 1, 3, 11, 13, 33

2.1 p94 # 1, 3, 7

2.6 p142 # 1, 3, 5, 7, 11, 15, 17, 21, 23, 27, 29, 31, 33, 37, 39, 43

2.7 p155 # 3, 5, 9, 11, 13, 19, 21, 25, 27, 35, 41

2.8 p162 # 1, 3, 5, 15, 17, 19, 21, 23, 27

3.1 p181 # 5, 7, 11, 13, 15, 19, 23, 25, 29, 41, 45, 47, 49, 51, 59

3.2 p188 # 1, 3, 5, 7, 9, 11, 13, 17, 23, 25, 27, 29, 39, 41, 43, 45, 51, 57

3.3 p195 # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 33

3.4 p205 # 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 29, 31, 33, 35, 43, 49, 51, 53, 57

3.5 p214 # 1, 3, 5, 9, 13, 17, 25, 27

3.6 p220 # 1, 3, 9, 11, 17, 19, 23, 25, 27, 33

3.7 p226 # 3, 5, 7, 9, 11, 13, 17, 25, 27, 29, 33, 35

3.9 p245 # 5, 7, 9, 11

4.1 p260 # 3, 5, 7, 9, 11, 15, 23, 27, 33, 35

4.2 p268 # 3, 5, 9, 11, 25, 33, 35, 37, 41, 43, 47, 49, 51, 53

4.3 p279 # 5, 7, 9, 11, 13, 17, 19, 21, 27, 31, 33, 37, 39, 59

4.5 p296 # 1, 3, 5, 7, 9, 13, 19, 21, 33, 37, 39, 41

4.6 p305 # 3, 5, 7, 9, 11, 13, 15, 25, 31, 35, 51

4.7 p315 # 3, 5, 7, 11, 23

4.8 p321 # 1, 5, 7, 9, 11, 13, 19, 21, 25, 27, 29, 31, 43

5.1 p341 # 1, 3, 5, 11, 15

5.2 p353 # 5, 7, 9, 11, 19, 31, 37, 41, 43

5.3 p363 # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 51, 53

5.4 p372 # 3, 5, 7, 9, 13

5.5 p381 # 1, 3, 5, 7, 11, 13, 15, 19, 21, 23, 27, 29, 35, 39, 45, 47, 53, 55, 63

5.6 p387 # 1, 3, 7, 9, 11, 13, 17, 19, 21, 25, 27, 39, 41

5.7 p393 # 1, 5, 7, 9, 11, 13, 21, 23, 29, 31

App G pA54 # 9, 11, 23, 27

5.9 p411 # 5, 9, 15, 17



Paul-Eugène Parent
Dept. of Mathematics and Statistics
Office 304 B
585 King Edward
Phone: 562-5800 x3528
e-mail: pparent@uottawa.ca