Calculus for Engineering
Carleton University, Mathematics 1004:
Updated November
10, 2011
How
to study for this course (someone else's idea)
NOTE: Homework will be assigned but NOT
collected.
Office Hours:
Dr. Mingarelli, Herzberg
Building # 4250
Tuesdays, 4-6 p.m.
Email:
amingare@connect.carleton.ca
Twitter: amingarelli
Click here
for the Read-me file for the Calculus Plotter
Appendices
A, B, C, D and Chapter 1 of the textbook
In
the following table 1 week represents 2 lectures, and
NOT a full week as usual.
|
WEEK |
|
TESTS |
SECTIONS |
TOPICS |
|
1 |
|
|
Chapter
1, Appendices A, B, C, D, |
Functions, Review of
Chapter 1 in text, Trigonometry |
|
2 |
|
|
2.1-2,
2.3-5, 3.1-3, |
Limits and Continuity,
Guessing and Evaluating Limits at Infinity, The Chain Rule |
|
3 |
|
Test 1 |
3.4-5,
3.7-3.8 |
Implicit differentiation,
Derivatives of trigonometric functions, Inverse functions, |
|
4 |
|
|
3.9,
3.12 |
Inverse trigonometric
functions and their derivatives, L'Hospital's Rule |
|
5 |
|
Test 2 |
4.1-4,
4.5-6 |
Exponentials and Logarithms
and their derivatives |
|
6 |
|
|
Curve sketching |
|
|
7 |
|
Test
3 |
6.1-2 |
Anti-derivatives, The
Indefinite Integral, Definite Integrals |
|
8 |
|
6.3-4,
7.1-2 |
Area, Integration by
substitution (change of variable), |
|
|
9 |
|
|
7-3 |
Integration by Parts |
|
10 |
|
Test 5 |
7.4-5-6 |
Partial Fractions, Powers
of Sines and Cosines, Trigonometric substitutions |
|
11 |
|
7.8,
8.2 |
Improper Integrals, Area
between Two Curves |
|
|
12 |
|
|
8.3-4-5 |
Volumes of Solids of
Revolution |
|
13 |
|
Sample
Final |
8.3,
9.1-2 |
Review |
DETAILED CLASS SCHEDULE
|
TUTORIALS |
ASSIGNMENTS |
HOMEWORK |
|
|
Week 1 Starts Sept. 9 |
Textbook: Exercise
Sets 2, 3, 4, 5 & 6 Appendix A: all questions |
||
|
Week 2 |
Tutorials begin |
No assignments |
Exercise Sets
13-14-15-16 |
|
Week 3 |
|
No assignments
|
Exercise Sets 19-20 |
|
Week 4 |
Tutorial |
For practice: |
Exercise Sets |
|
Weeks 5 and 6 |
|
For practice:
|
Exercise Sets |
|
Weeks 7 and 8 |
|
No assignments |
Exercise Sets |
|
Week 9 |
|
For practice:
|
Exercise Sets |
|
Week 10 |
|
No assignments |
Exercise Sets |
|
Week 11 |
Review |
No assignments |
Exercise Sets |
|
Week 12 |
For practice:
|
For practice:
|
Exercise Sets |
TEXTBOOK:
The ABC's of Calculus (ebook, $35; or softcover, $65; September combo special ebook+textbook
for $80)), by Angelo Mingarelli (includes all solutions). The most current Edition
is dated August 4, 2010. Older editions are no longer supported as there have
been too many changes in the newest one.
PREREQUISITES:
Do get advice from the instructor or from the Mathematics Undergraduate Advisor
Ken Small, in 4380 Herzberg Building.
(i) A: = Term Mark out of 40% + Final Examination
Mark out of 60%; OR,
(ii) B: = Final Examination Mark out of 100% whichever is the highest.
In other words, your final course grade is the larger of the two numbers A and
B above.
If you do all
the homework exercises 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:
5 Term
Tests BUT we choose the best 3/5, for (30/40);
AND
10% for attendance at tutorials.
Note: The
"best x of y" rules allow you to miss some of the term events for any
reason (medical or otherwise). In other words, under normal circumstances, if
you miss a test for a medical or other reason then we
still choose the best 3 out of 5 tests you will have written.
Only under highly exceptional circumstances will a test be postponed to a later
date.
Students with disabilities requiring academic accommodations in this course are
encouraged to contact the Paul Menton Center for
Students with Disabilities (500 University Center) to complete the necessary
forms. After registering with the Center, make an appointment to meet with me
in order to discuss your needs at least two weeks before the first in-class
test or CUTV midterm exam. This will allow for sufficient time to process your
request. Please note the following deadlines for submitting completed forms to
the PMC for formally scheduled exam accommodations: TBA for fall and
fall/winter term courses, and TBA for winter term courses."
CALCULATORS
You may use a non-programmable calculator for the examinations and tests in
this course:
One of either Sharp EL-510RB (available in nearby stores) or Casio FX-260 or
any other approved non-programmable calculator, such as the "GET",
now available for about $2 in local Pharmaprix drug
stores.
WITHDRAWING FROM A COURSE: Please consult a current Undergraduate Calendar for
dates and other relevant information.
Do I HAVE to
go? Well, if you want to pass those tests and get your assignments to count on
your behalf, then, YES, do go. If all you want to do is write the final exam,
then that's OK, too; see the EVALUATION item above.
Who is my
T.A.? Go the required class and ask him/her. There are too many changes for us
to confirm TA's during the first few weeks of classes.
Tutors advertise frequently on the Notice Boards
around the center.
2001 CLASS NOTES (from a Whiteboard)
Trigonometric
Functions and their Derivatives
Inverse
Functions and their Derivatives
Derivatives
of Inverse Trigonometric Functions
Exponential
and logarithmic functions and their derivatives
Exponential
and logarithmic functions and their derivatives-continued
Newton's
Method for Finding Roots
Curve
sketching
Integration
by substitution
Integration
by substitution-continued
Integration
of trigonometric functions
Integration
by Parts
Integration
by Parts-continued
Introduction
to area ad Leibniz's Rule
Leibniz's
Rule
Area between
two curves
Arc
length of a curve
Partial
Fractions
Integrating
powers of products of secant and tangent functions
Improper
integrals
Simple
Differential Equations
|
|