MATH 1013 NOTES FOR DISTRIBUTION
1)
Final Exam for MATH1013, F2013 will be held in TC Rexall on Sat, 21 Dec 2013 14:0017.00. Check York’s website exam timetable in the event of any last minute emergency
change.
2)
Bring writing utensils. A non-graphing calculator is allowed. No other aid is allowed.
3)
Final grade is based on 50% for the final exam plus 50% for the term.
4)
It is your responsibility to arrive in good time. You will not be permitted to write the paper if
you arrive 30 minutes after the beginning of the examination or later.
5)
You will be required to present photo ID.
6)
Questions will cover material from Chapters 1 through 5 of Stewart, Calculus - Early
Transcendentals, 7th Ed. There will be no questions requiring epsilon-delta or epsilon-M proofs,
but you should know the precise limit definitions (sections 2.4, 2.6). There will be no questions
on material from sections 1.4, 3.10, 3.11, 4.6 or 4.8.
7)
There will be 10 questions. Answer all questions. Each question is worth 10 marks. Solutions
are to be written on the examination paper provided. Do not disassemble the paper, remove
any pages from it, or add any pages to it. The last two pages are blank, and intended for
either additional space you may need for answers, or for rough work. If you wish anything in
these spare pages to be counted for credit, please clearly indicate which answer is for which
question and which part. If you use the back of pages, clearly indicate “see back of page” or
something to that effect.
8)
Religious and other kinds of accommodation must be arranged in advance of the exam.
Deadline has passed.
Main areas covered - a ROUGH guide only, and some questions will involve a range of topics.
1
2, 3
4, 5, 6
Chapter 1
Chapter 2
Chapter 3
7, 8
Chapter 4
9, 10
Chapter 5
Domain and range of functions including trig, exp, log.
Limit calculations, continuity, IVT, tangent to a curve.
Derivatives from definition, differentiation rules, implicit
differentiation, logarithmic differentiation, exponential
growth and related rates.
Max and min, MVT, curve sketching, optimization,
l’Hospital’s Rule.
Riemann Sum, FTC I and II, definite integral, indefinite
integration, derivative of an integral.
The front page of the exam will be as below. Read it now and take note!
MATH 1013
Please circle one section:
APPLIED CALCULUS I, Fall 2013
SECTION A:
Professor Szeto
SECTION B:
Professor Jovanovski
SECTION C:
Professor Lamzouri
SECTION D:
Professor Weng
SURNAME: _______________ GIVEN NAME: ________________
STUDENT #: _______________
Final Exam
21 December 2013, 14:00-17:00
No other aids except a non-graphing calculator is allowed.
ANSWER ALL QUESTIONS. All questions carry equal marks. In all questions it is
essential to explain your reasoning and to provide details of the intermediate steps
taken in reaching your answers.
Answers are to be written in this booklet. Do not remove or insert any pages. IF you need extra
space for your answers use blank pages 12 & 13, but CLEARLY indicate, “see P.12” or “see
P.13”. If you use the flip side of a page, ensure you indicate, “see over page”.
Make sure you write your Name and Student Number on this page, and circle your Section.
You will not be allowed to leave during the final 15 minutes of the examination period in order
to avoid disruption to those continuing to work on the paper.
MARKING TEMPLATE (answers to more than ten questions will not be graded)
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TOTAL