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MATH 1300 3.00AF (Fall 2011)
Differential Calculus with Applications
Announcements and documents will be posted here as they
- Every year I get requests to change the grade weighting for some people, or
to increase somebody's grade because they were "only one mark away". In a
class this size, there will always be people "only one mark away" from a
higher grade - roughly 20% of people will be in that situation in fact. My
answer to all such requests will be "no". In fact, I already
reviewed the exam of everyone who was in this situation a second time, to
check the fairness of the grading. Of course, if you notice an error in how
term work was recorded, point it out to me.
- I will be out of the country the entire month of January.
People who want to look over their final exams should contact me in
February and make an appointment to do so. Anyone who did not pick up
their 3rd quiz during office hours or after the exam can pick it up from
my office in February.
- The exam average was lower than on the midterms, so both Kochman and I
adjusted marks accordingly.
- The final exam covered the material we covered in class. In other words, 1.2-1.7, 2.2-2.10, 2.12, 3.2-3.4
You were not responsible for reproducing proofs from class. You needed to
know the definitions and concepts, and needed to be able to do the kind of
problems assigned for homework.
Calculators were not allowed.
The inverse trig functions you were responsible for are arcsin, arctan, arcsec.
I said I would not ask you questions about arccos, arccot, or arccsc.
- Regarding epsilons and deltas, you only needed to be able to use
them to verify simple limits (ie not the most complicated examples I did
in class). For example, on the homework you did, Section 1.5 numbers 9b,
10a, and 13b are relatively simple problems, of the type allowed on the
exam. Problem 9e is more complicated, and you were not responsible for
things like that on the exam.
- You were asked to state one theorem from the following list and to
- Intermediate Value Theorem - result 1.7.19 (page 94)
- Maximum Value Theorem - result 1.7.42 (page 98)
- Rolle's Theorem - result 2.6.13 (page 191)
- Mean Value Theorem - result 2.6.20 (page 192)
- L'Hopital's Rule - result 2.8.2 (page 221)
- Existence Theorem for Definite Integrals - result 3.3.16 (page 310)
- Mean Value Theorem for Definite Integrals - property 10 (page 314)
- First Fundamental Theorem of Calculus - result 3.4.5 (page 324)
- Second Fundamental Theorem of Calculus - result 3.4.9 (page 326)
Documents and links
The following resources will be on 2 hour reserve in Steacie Library
You should have a copy of the text, along with the accompanying Student Manual
and CD-ROM. If necessary, you can get by with a copy of an earlier edition.
The basic content of the 4th edition is the same as the 3rd (2008) and
2nd (2006) editions, but the 4th fixes a number of typos and errors.
There is also a preliminary edition (2003),
but if you use that, be warned that the chapter and problem numbering is
different, and there are far fewer exercises . If anyone is trying to
work from the preliminary edition, see me for advice about problems to try.
- Our textbook: Single Variable Calculus: Concepts, Applications and Theory by S.O. Kochman (4th edition, 2011) [but currently what is there is the 3rd edition]
- The student manual and CD-ROM that accompany our text (4th edition, 2011) [but currently what is there is the 3rd edition]
- The student solutions manual for MATH 1300 (by V. Mishkin), 2nd edition, covering sections 1.2 to 3.4
[There is also a solution manual on reserve, for the later
sections of the text, that we won't be using in this course].
- Stewart's Calculus: Early transcendentals. This could be useful
if you want to see how other texts approach the same material (two points
of view are better than one). Stewart is a text used for MATH 1013.
The student solutions manual is also available at the bookstore, but buying this is optional - it is
not required for the course. It is based on the 2nd edition of the text, but
can still be used easily, since the problem numbering is the same as in
the 4th edition.