Calculus for Engineering Students (Hand-out)

Carleton University, Mathematics 69.104A
 INSTRUCTOR:
Name: Dr. Angelo B. Mingarelli,
Office: Herzberg Physics Building Office #4250
Tel/Fax: (613) 520 3534
Electronic mail: @math.carleton.ca
Photograph Just in case you don't want to come to class!
Office Hours: Fridays, 0930-1130 a.m.

TEXTBOOK(S):
Calculus, by Angelo B. Mingarelli (The Millennium Series), along with a Solutions Manual (bundled together). Available at the Bookstore on or before August 15th.

EVALUATION
Your grade will be calculated either as:

(i) Term Mark 40%;
(ii) Final Examination 60%
OR,
(iii)Final Examination 100% whichever is better.
In any event, your final course grade is the larger of the two numbers: A and B where A=(i)+(ii) and B=(iii).

If you do all the weekly quizzes, homework and tests, as well as the sample tests and final exams on this website, you'll likely pass (maybe even Ace it!).
 
TERM MARK:
The term mark will be derived from:
(a) 3 Tests; BUT we choose the best 2/3, for (20/40);
(b) 2 BIG Assignments (20/40).

Note:The "best x of y" rules allow you to miss some of the term events for any reason (medical or otherwise).
Only under highly exceptional circumstances will a test be postponed to a later date.

TUTORIALS:

All tutorials are held on Tuesdays, at 10:30 a.m. and will begin the week of Sep. 21 in various locations depending on your section given to you at registration OR by the first letter of your family name (surname, cognome(n)).

 

Fall, 1999

WEEK 
DATES 
TESTS 
SECTIONS 
TOPICS 
Sep. 9 - 17 
None 
2.1-2, 2.3-5, 3.1-3, 
Limits and Continuity, Guessing and Evaluating Limits at Infinity, The Chain Rule
Sep. 20-24 
None 
3.4-5, 3.6-7,  3.8 - 10,
Implicit differentiation, Derivatives of trigonometric functions, Inverse functions, Inverse trigonometric functions and their derivatives,
Sep. 27- Oct. 1 
None
3.11, 3.12 
Newton's method for calculating roots (review 2.4), L'Hospital's Rule 
Oct. 4 - Oct. 8 
Test 1
4.1-4, 4.5-6, 4.7, 10.3 
Exponentials and Logarithms and their derivatives (2 lectures), Applications to Laws of Growth and Decay 
Oct. 11- 15 
Assignment 1 
5.1-2, 5.3 
Solving polynomial and rational function inequalities, Curve sketching (2 lectures)
Oct. 18-22 
Hand in Assgt 1 
  7.1-2 
Antiderivatives, The Indefinite Integral, Definite Integrals
Oct. 25-29 
Test 2 
7.3-4, 8.1-2 
Sigma notation, Area, Fundamental Theorem of Calculus, Integration by substitution (change of variable),
Nov. 1-5 
None 
8-3 
Integration by Parts
Nov. 8-12 
Assignment 2 
8.4-5-7 
Partial Fractions, Powers of Sines and Cosines, Numerical Integration
10 
Nov. 15-19 
Hand in Assgt 2 
8.8, 9.2 
Improper Integrals (2 lectures), Area between Two Curves
11 
Nov.22-26 
Test 3 
9.3-4-5 
Volumes of Solids of Revolution, Arc Length, Centers of Mass
12 
Nov. 29 - Dec. 3 
Sample Final 
9.3, 10.1-2 
Simple differential equations and applications
13 
Dec 6 
None 
10 
Review