Mth 251 Differential Calculus


Last updated: March 10, 2008
Sample problems

Term: Winter 2008
CRN: 22861
Time: MWF 1500-1550
Location: Weniger 153

Final Exam Thursday Mar 20 1600-1750 Glfn Aud (Gilfillan Auditorium)

Recitation

Recitations for our section are

R 1200-1320 22862 MLM 019
R 1400-1520 22863 WB 205
R 1600-1720 22864 STAG 211
You should attend the recitation section in which you are actually enrolled. The sections are not interchangeable. If you have a serious need to change your recitation section, check with the GTA to see if your need can be accomodated.

Our recitation GTA is Paul Synhavsky. His email address is

synhavsp@math.oregonstate.edu.
His math dept web page is
http://www.math.oregonstate.edu/people/view/synhavsp

Text

Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, et al, Calculus, 4th edition, John-Wiley & Sons, Inc., Hoboken NJ, 2005

Tevian Dray, Calculus Study Guide Mth251, August 30, 2007

Course Outline

The course outline, or lesson summary, is printed on the inside front cover of the study guide. Several sections are labelled as optional. They will in fact be required, at least in part. These lessons will be designated as A-G and are indicated, at least in part, by asterisks in the Study Guide.
A1.7Follows lesson 6
B1.8Follows lesson A
C2.6Follows lesson 10
D3.8Follows lesson 17
E3.9Follows lesson D
F3.10Follows lesson E
G4.7Follows lesson 21

Homework

A minimal list of suggested homework is printed on the first page of the study guide. Additional problems may be assigned in class and in the recitation. You should do all the assigned homework (carefully) whether you are required to turn it in or not.

You should keep up to date with the suggested homework. If you leave it for the future it will become unmanageable.

Grades

I may answer email queries about grades as time permits. Please read the document Grade Information before requesting grade information by email.

The following grade distribution will be used:

Recitation=TR %
Test 1=T1 %
Test 2=T2 %
Exam=TE %

Your grade will be computed as

Final grade = 0.15*TR  + 0.20*T1  + 0.20*T2  + 0.45*TE

Calculators

You may use a simple graphics calculator on tests, but not a laptop computer, palm computer, nor any device capable of extensive symbolic manipulation (other than your own brain). I will expect that you have at the very least a scientific calculator or a simple graphics calculator. Note your calculator will need to be in radians mode (not degrees). Questions about calculators will not be answered during tests. You must know how to use your own calculator.

Because many calculators are capable of solving equations and doing quite elaborate calculations you should expect that test problems may be a little bit indirect, at least in some cases, and require a modicum of thought.

Calculators may not be shared during tests nor may you use a calculator capable of communicating with other calculators.

Test Information

You may use a single 8.5 by 11 inch (21.6 by 27.9 cm) notesheet, or smaller, prepared in advance, to bolster your memory on the tests. You may write on both sides of your notesheet. Notesheets may not be shared. If you don't prepare a notesheet in advance you will have to do without a notesheet.

In view of the size of the class, the tests will consists mostly, or entirely, of multiple-choice problems. Be sure you work very carefully. Do not be misled by answers which appear to be correct.

If you do fairly well on the midterms and then miss the final exam, your grade will be I (incomplete). If you do poorly on the midterms and then miss the final exam, your grade will be F. In order to obtain a W you must formally withdraw from the course in accord with institutional rules.

If you make arrangements before a test, or on the same day, and if you have a very good reason, it may be possible to schedule a make-up test. At most one make-up test may be taken during the quarter. Note, it is not possible to make-up the final exam. The make-up test is normally similar, but not identical, to the in-class test.

Winter Calendar

More calendar information will be added (and some corrected) during the quarter.

    January 2008
Su Mo Tu We Th Fr Sa
       1  2  3  4  5
 6  7  8  9 10 11 12 week 01
13 14 15 16 17 18 19 week 02
20 21 22 23 24 25 26 week 03 MLK Day 21
27 28 29 30 31       week 04

    February 2008
Su Mo Tu We Th Fr Sa
                1  2 week 04
 3  4  5  6  7  8  9 week 05 TEST 1 Wed Feb 6
10 11 12 13 14 15 16 week 06
17 18 19 20 21 22 23 week 07
24 25 26 27 28 29    week 08

     March 2008
Su Mo Tu We Th Fr Sa
                   1 week 08
 2  3  4  5  6  7  8 week 09 TEST 2 Wed Mar 5
 9 10 11 12 13 14 15 week 10
16 17 18 19 20 21 22 exam week
23 24 25 26 27 28 29 spring break
30 31                spring classes begin

Class Record

This record is a bit sketchy, but you may find it useful, especially if you miss a few classes. Each entry below is a record of what we actually did in class, or occasionally, what I plan to do in class. The lesson numbers are defined on the inside front cover of the study guide. Note: Sometimes I get a bit behind in maintaining this list. Then when I do update it, I err in assigning dates to topics (usually not by more than one lecture).

Mon week 1 Jan 07
Lesson 1, 2: General discussion of course, tests, homework, etc. Notion of function. Linear function. Exponential functions. Euler's number (2.718281828459...).
Wed week 1 Jan 09
Lesson 1, 2: Linear functions. Line of regression (method of least squares).
Fri week 1 Jan 11
Lesson 3, 4: Injective (one-to-one, monomorphic) functions, surjective (onto, epimorphic) functions and bijective (isomorphic) functions. Composition of functions. Inverse functions. Newton's binomial formula. Volume of ball, area of sphere.
Mon week 2 Jan 14
Lesson 6: Polynomials and rational functions. Long division of polynomials. Horizontal and sloping asymptotes of rational functions. Limits.
Wed week 2 Jan 16
Lesson B, A: Limits and continuity - 1.8 and 1.7 in text. Intermediate value theorem (or property) - IVP.
Fri week 2 Jan 18
Lesson 7, 8, 9: The derivative. Slope of the tangent line.
Mon week 3 Jan 21
No class - Martin Luther King, Jr. Day
Wed week 3 Jan 23
Lesson 9, 10: Recap and higher derivatives - 2.4 and 2.5.
Fri week 3 Jan 25
Lesson C, 11: Differentiable functions. Power rule. - 2.6, 3.1.
Mon week 4 Jan 28
Lesson 11, 13, 15: Powers and polynomials 3.1. Product and quotient rules 3.3. Trigonometric functions 3.5.
Wed week 4 Jan 30
Lesson 12, 14: Exponential functions and logarithms 3.2. Chain rule 3.4.
Fri week 4 Feb 1
Lesson 15, 16: Trigonometric functions 3.5. Inverse functions 3.6.
Mon week 5 Feb 4
REVIEW
Wed week 5 Feb 6
TEST 1
Fri week 5 Feb 8
Lesson 17, E: 3.7, 3.9 - Implicit functions. Linear approximation and the Derivative.
Mon week 6 Feb 11
Lesson D, F: 3.8, 3.10 - Hyperbolic functions. Some facts about differentiable functions.
Wed week 6 Feb 13
Lesson E, 18: 4.1 - Using first and second derivatives.
Fri week 6 Feb 15
Lesson 20: 4.3 - Optimization.
Mon week 7 Feb 18
Lesson 20: 4.5 - A constrained minimum problem - a cylindrical can with one end closed, with minimum surface area for a given volume. An extremum problem with two parameters - line of regression (least squares fitting).
Wed week 7 Feb 20
Lesson 19: 4.2 - Families of curves.
Fri week 7 Feb 22
4.3, 4.5 - optimization
Mon week 8 Feb 25
4.5 - optimization
Wed week 8 Feb 27
4.6 - related rates. 4.7 - L'Hopital's rule.
Fri week 8 Feb 29
Mon week 9 Mar 3
REVIEW Mon March 3
Wed week 9 Mar 5
TEST 2 Wed March 5
Fri week 9 Mar 7
Sun Mar 9
Daylight savings time begins?
Mon week 10 Mar 10
Wed week 10 Mar 12
Fri week 10 Mar 14
Exam week Mar 17-21
Final exam: Date and Location TBA

|  TOP  |  HOME  |  Mth 251 Documents  |