# Calculus for Engineering Students

Mathematics 69.104, Section A

DAILY QUIZZES:

For grading purposes please go to the tutorial link below which corresponds to the first letter of your family name: e.g., If your name begins with the letter N, click on Tutorial 3 to access the quiz of your choice...

 QUIZ 1 TUTORIAL QUIZ 2 TUTORIAL QUIZ 3 & 4 TUTORIAL QUIZ 5 & 6 TUTORIAL QUIZ 7 TUTORIAL QUIZ 8-9-10 TUTORIAL

Click on the magician below to stop the applet

Dr. Angelo B. Mingarelli, Instructor
Herzberg Physics Office #4250
Tel/Fax: (613) 520 3534
Electronic mail

Textbook:
Calculus-Single Variable-Early Transcendentals, by J. Stewart (packaged with Chapter 15 and Student Guide), Third Edition, (Brookes/Cole Publishers); available at the Bookstore... and
The ABC's of Calculus by Angelo B. Mingarelli; Module on Inverse Functions, 80 pp., from the Instructor; cost \$12.00 net.

Classes begin: Monday, September 9, 1996
Mondays, Tory Bldg. 360, 10:30 a.m.
Wednesdays, Tory Bldg. 360, 0930 a.m.
Fridays, Tory Bldg. 360, 0830 a.m.

Statutory Holiday: Monday, October 14, 1996
Classes end: Monday, December 2, 1996
Test Schedule and Grading: There will be four tests, held during the tutorial sessions. The best three out of the four tests will count for 40% of the final grade. The final examination will count for 60% of the final grade.

PLEASE NOTE THAT THE TUTORIAL CENTRE, Herzberg Physics Room 4385, WILL BE OPENING ON MONDAY, SEPTEMBER 23RD.
HOURS FOR THE CENTRE ARE AS FOLLOWS:
MONDAYS TO THURSDAYS: 10 AM TO 4 PM
FRIDAYS: CLOSED

## Detailed Class Outline

#### Fall 1996

 WEEK DATES TESTS SECTIONS TOPICS 1 Sept.9 - Sept.13 None 3.1 3.2 3.3 Exponential functions and their derivatives Inverse functions Logarithmic functions 2 Sept.16 - Sept.20 None 3.4 3.5 Derivatives of logarithmic functions Exponential growth and decay 3 Sept.23 - Sept.27 TEST 1, Tutorial room 4.9 5.1 5.2 Antiderivatives Sigma notation Area 4 Sept.30 - Oct.4 None 5.3 5.4 5.5 The definite integral The fundamental theorem of calculus The substitution rule 5 Oct.7 - Oct.11 None 7.1 7.2 3.6 Integration by parts Trigonometric integrals Inverse trigonometric functions 6 Oct.14 - Oct.18 TEST 2, Tutorial room 7.3 7.4 7.5 Trigonometric substitutions Integration of rational functions by partial fractions Rationalizing substitutions 7 Oct.21 - Oct.25 None 7.6 7.7 7.8 Strategy for integration Using tables of integrals Approximate integration 8 Oct.28 - Nov.1 None 7.9 6.1 6.2 Improper integrals Areas between curves Volume 9 Nov.4 - Nov.8 TEST 3, Tutorial room 6.3 6.4 6.5 Volume by cylindrical shells Work Average value of a function 10 Nov.11 - Nov.15 None 8.2 8.3 8.4 Arc length Area of a surface of revolution Moments and centers of mass 11 Nov.18 - Nov.22 TEST 4, Tutorial room 8.1 15.1 15.2 Differential equations Basic concepts; separable and homogeneous equations First-order linear equations 12 Nov.25 - Nov.29 Dec.2 None - R E V I E W

The following locations have PC's which, upon login with the word "student" will give you access to Netscape in its many versions...
Herzberg 3393, ....Our Math. Lab. Only 5 486's carry this option (those nearest the hall window)
Herzberg 4115, 4125, 4155, 4175.....Computer Science Labs. Please be brief in order to leave others the chance to access these machines.

### FAQ about Tutorials in this course

There will be NO TUTORIALS this week, Sept.9-13; tutorials will begin next week, Sept. 16.

#### Tutorials are scheduled for Tuesdays, 0930 hrs., in the following locations:

Tutorial 1: Students whose family names begin with the letters A-Eh... 403 Southam Hall
Tutorial 2: Students whose family names begin with the letters Eh-L... 406 Southam Hall
Tutorial 3: Students whose family names begin with the letters M-She... 311 Steacie Bldg
Tutorial 4: Students whose family names begin with the letters Shi-Y... 312 Steacie Bldg
Tutorial 5: TBA

We will try to arrange common group tests on tutorial days; For example a single test will be handed in by a group of 4 or 5 students all of whose name will appear on the answer sheet(s)...the test will be graded by the TA and then returned to the students involved one week later. Please note that these tests will have no impact upon your final grades.

### Notes for the week, Sept. 16-20, 1996 I noticed that many among you had difficulty with Problem 4 in your first tutorial. I've posted the answers below...Just click on the problems whose solutions you want to see:

Apologies to Lynx-based readers...but you do need a browser to see these solutions...Well, you could save them locally to your hard drive/diskette and then view them with Netscape (without Internet software) or some other photo/viewing software which can read GIF format (Corel Draw, Adobe, Paint Shop Pro, Micrografx Picture Publisher, ...)

Nevertheless, I have succumbed to internal pressures and have decided to post Solutions to Tutorial 1 within the glass casing just outside the Mathematics Tutorial Center, (Herzberg 4385) as of Friday, Sept. 20, 3:30 p.m.

This week you should remember that, most importantly, the study of Calculus is one that needs to be nurtured...the more you do, the more relaxed you will be about doing problems in this course. Among the topics we covered, the applications of the Chain Rule to differentiation of trigonometric and exponential functions are central to your studies.