Martin Flashman's Courses
Math 109 Calculus I Spring, '00
MTWR(Optional F) 09000950
HGH 204
Final Examination:
Wednesday
51000 08:0010:00 or self scheduled See Prof. Flashman
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Last updated: 4/7/00
Tentative Schedule of Topics (Subject to change) 4700

Monday

Tuesday

Wednesday

Thursday

week 1

1/17 No Class ML King Day

1/18 Introduction. Review 1.1 Functions

1/19 Review. More on functions, TFigs, and graphs.

1/20 Review: lines;max w/quadratics

week 2

1/24 2.1 /2.6 Lines& Intro to tangents/ graph'l interpretation

1/25 2.1/2.6 Tangents

1/26 Finish Tangent
Begin velocity/position

1/27 more on velocity, rates...2.6

week 3 POW I Due 2/1

1/31 The derivative: Def'n. + 3.1

2/1 The derivative: Def'n. + 3.1;

2/2 More on the derivative 3.1 & 3.2

2/3 More 3.2 Deriv. as function;

week 4
Summary I Due 2/8

2/7 rates 3.4 ;
Leibniz Notation

2/8 3.3 powers/sums/ scalars/polys.3.3

2/9 product 3.3

2/10 quotient 3.3

week 5 POW II Due 2/15

2/14 More Quotient; begin sine.

2/15 sine 3.5 3.2;
Proofs
of trig.

2/16 trig, ; 3.5
Begin:continuity and diff 3.2 2.5

2/17 Chain Rule 3.6
continuity defined.

week 6 Summary II Due 2/23

2/21 More continuity. Chain Rule 3.6

2/22
More continuity.
Diff implies cont.(proof)
Begin Impl diff'n 3.7

2/23 More Implicit Diff'n.
Trig limits.3.5

2/24
Higher order derivatives 3.8

week 7(CR Oral)
POWIII due 2/29

2/28 related rates.3.9
Begin IVT 2.5(Bisection)

2/29 Newton 4.9

3/1Start Extremes 4.1

3/2 More on extremes 4.1

week 8 Exam 1
3/7 6 pm & 3/8

3/6 Increasing / decreasing 4.3 Probability density

3/7 Breath (review)
Proofs of Extreme Value/Critical point
Probability density

3/8 Probability density

3/9
Applications of extrema.I 4.7
Convexity and the Second Derivative 4.3

Mid Term Vacation 
3/13 
3/14 
3/15 
3/16 
week 9

3/20 More Extremes.
Asymptotes/etc

3/21Asymptotes/etc
Begin Mean Value Theorem .

3/22 More MVT
Linear Estimates

3/23 The differential.

week 10

3/27 More on differentials.

3/28 Differential Equations What is a solution?

3/29 Antiderivatives.

3/30 Tangent Fields and Integral Curves.

week 11

4/3 More Tangent fields and DE's.

4/4Euler's Method

4/5Area and estimates using euler sums. Area and Net change in
position interpretations.

4/6
The Fundamental Theorem I.

week 12
(Exam II Wed.)

4/10 The definite integral
Definition&Evaluation with the Fundamental Theorem.

4/11More on using the definite integral..

4/12
Sums and integrals Interpret'n: negative values of integrals.
Prop.s of def. integrals

4/13 Substitution.

week 13

4/17 Change of variables.

4/18 Integrals by midpoints and endpoints.
More Basic properties of the definite integrals.

4/19 ApplicationsPrelude
Darts and the Mean

4/20Area between curves (dx) .

week 14

4/24 Area (dy). Start Volumes.(X section)

4/25 volumes (cross sections).

4/26 More on volumes. (Discs)

4/27 Volume (washer)
FTof C (I) 5.3

week 15

5/1
Average value of function 6.5

5/2 work.6.4 
5/3 More on volumes (Shells)... and Proofs of the FT 's of
C

5/4 Riemann Sums and more FTof C and work. Last class! 
Spring, 2000 Problem Assignments M.FLASHMAN
MATH 109 : CALCULUS I
Stewart's Calculus 4th ed'n.
Section Problems (*= interesting but optional)
 
Assignments and recommended problems I
1.1 1/19> 1,2,10,13,15,17,21,22,45, 47, 48, 51, 53
1/19> rev. sheet 13,6,13,15,16,18,19
1/20> Appendix B: 710; 1720; 2135 odd; 62
1.2 1/24> 15;8,10,11(Change!)
1.3 1/25> 3;5; 54, 55; *65
1.4 1/26> 1,3,37
2.1 1/26> (i)1,2,4;
1/31> (ii) 5,8
2.6 1/27> (i)1(a),2(a),3(a)change!,5(ai,b)change!,6(ai,b)change!,9
1/31> (ii)11,13,15,1719
3.1 2/1> (i)13,5,1316
2/2> (ii)7,8,1921,26,29
2/2> (iii)11,23
3.2 2/3> (i)1,37; 1723 odd
2/21>(ii) 31,32,37
Review trig.. Appendix D Especially formulae 68,10,12,13
3.4 2/7&8> (i) 13;11;21,23
2/8> (ii) 27,28,*33
Assignments and recommended problems II
3.3 2/9 > (i)15, 715 odd, 2830,43
2/10>(ii) 816 even, 1922; 55a, 56(a,b), 59a, 6163, 6668
2/14>(iii) 83, 18, 2325, 31; 49, 53, 54, 55 (b,c), 58, 65, 73, *74
2.5 2/23>(i)3,4,7,1720,34,37
3/1> (ii) 38
3/1>(iii) 4145 odd,48, *(55,56), 59
3.5 2/16>(i) 13,5,10,11,13,22,23,28,31
2/17>(ii) 4,6,9,21,26,33,45a,*34
2/24>(iii) 35,36,38,39,43
3.6 2/21>(i) 714 use Leibniz notation.
2/22> (ii) 16, 17,21,27,31,37,45,51,53,55,*57, 59, 63, *70
3.7 2/24> (i) 510,, 15, 25, 26,29, 36, 37, *38
2/28> (ii) 41, 42, 51, *53
3.8 2/28> (i) 115 odd, 21,31 (change)
3/9> (ii) 35,36,43,44,47,51, 53 *(57,62)
3.9 2/29>(i)3,5,11
3/1>(ii) 7,10,12,16,19,31,32
4.9 3/1> (i) 1,3,57
3/2> (ii)11,15,16,25,*26,*27
Assignments and recommended problems III
4.1 3/2> (i) 36;3141 odd, 47,49,11,34,48
3/6>(ii) 13, 51, 53, 57, *65
4.2 3/23> 7,8,11,23
4.3 3/7>(i)5,6, 8(a,b), 11(a,b), 25(a,b), 27 (a,b)
3/20> (ii)7,8, 11c, 17, 2123, 25(cd), 27(c,d), 47
4.4 3/22>(i) 3,4, 1115, 3134, 3941
3/23>(ii) 4749, 55, 56
4.5 3/23> (i) 111 odd, 31, 36
3/26> (ii) 27, 32, 35, 38
4.6 3/27> 1,7, 10, 21
4.7 3/20> (i) 1,2,7
3/20> (ii) 9, 15, 17, 29
3/21> (iii) 24, 34, 49, 53
3/27 > (iv) 48,50
3.10 3/26> (i) 5,7,9
3/26>(ii) 1517, 2125 odd, 31,33
3/27>(iii) 4245
Assignments and recommended problems IV
IVA 3/27> Read handout
3/28> 1(a,d,e,f,h),4,5(a,b),10
4.10 3/29> (i) 13, 511 odd,1517, 2528
4/3> (ii)3137 odd,41,47,51,52, 53, 55, 57
10.2 read 620623 (i)36,7,9, *15, *17
4/5> read 624626 (ii) 19a, 21, 24
IVD 4/3>111 odd
IVE 4/4> (i)1,2
4/5>(ii) 5 (a,b), 7(a,b), 11(a,b)
IVF 4/6> Read
4/10> 1,3,5,13,15,17,19,21,23
5.3 4/11> (i) 1723 odd (Use F T of Calc)
(ii) 39,49,51,
5.4 4/13>(i) 19 odd,1727 odd, 45
4/17> (ii) 4751 odd,53,55
5.5 4/17> (i) 1723
4/18> (ii) 3741
Assignments and recommended problems V
5.2 4/19 >(i)2,5,6,7,8,1518,29,*30
4/20> (ii)3135(odd);39,4346,4757(odd),63
6.1 4/24> (i) 1,2,7,11,15,16
4/25> (ii)3,4,17,19,45,29,33,39,41,*47
6.2 4/26> (i)51,52,*61,1,3,7
4/27> (ii) 4, 19,23, 31, 32,
5/1> (iii) 5, 7, 10, 39, 40, *59
6.3 5/3>(i) 1, 3, 7, 8, 28
(ii) 9, 13, 21, 29 , 41, 43
6.4 5/3> (i) 3,5, 7
5/3?> (ii) 11,13
6.5 5/2> 1,3,5,1315
5.3 5/1> (i) 1,3,4, 9
5/2> (ii) 5.7,11, 13, 39, *45, 49
2.4
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Spring, 2000
COURSE INFORMATION
M.FLASHMAN
MATH 109 : CALCULUS I
MTWR 09000950 HGH 204
OFFICE: Library 48
PHONE:8264950
Hours (Tent.): MTWR 10:1511:30 AND BY APPOINTMENT or chance!
EMAIL:flashman@axe.humboldt.edu WWW:
http://www.humboldt.edu/~mef2/
***PREREQUISITE: Math 115 or Math code 50 or permission.

TEXTS: Required: Calculus 4th Edition
by James Stewart.(Brooks/Cole, 1999)
Excerpts from Sensible Calculus by M. Flashman as available
from Professor Flashman.

Catalog Description: Limits, continuity, derivatives, integrals,
and their applications.

SCOPE: This course will deal with the theory and application of
what is often described as "differential and integral calculus." These
are contained primarily in Chapters 2 through 6 of Stewart. Supplementary
notes and text will be provided as appropriate.

TESTS AND ASSIGNMENTS: There will be
several tests in this course. There will be an oral quiz on the chain
rule, several reality check quizzes, two selfscheduled midterm
exams and a comprehensive final examination.

Homework assignments are made regularly. They
should be done neatly and passed in on the due date. Homework
is graded Acceptable/Unacceptable with problems to be redone. Redone
work should be returned for grading promptly.

Exams will be announced at least one week in advance.

THE FINAL EXAMINATION WILL BE SELF SCHEDULED.

The final exam will be comprehensive, covering the entire semester.

MAKEUP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
It is the student's responsibility to request a makeup promptly.
*** DAILY ATTENDANCE SHOULD BE A HABIT! ***

Team Activities: Every two weeks your team will be asked to submit
a summary of what we have covered in class. (No more than two sides of
a paper.) These may be organized in any way you find useful but should
not be a copy of your class notes. I will read and correct these before
returning them. Team participants will receive corrected photocopies.
Your summaries will be allowed as references at the final examination
only.
On alternate weeks teams will submit a response to the "problem/activity
of the week." All cooperative problem work will be graded +(5
well done), ü(4
for OK), (3 acceptable), or unacceptable(1) and will be used in determining
the 50 points allocated for cooperative assignments.

GRADES: Final grades will be determined
taking into consideration the quality of work done in the course as evidenced
primarily from the accumulation of points from tests, various individual
and "team" assignments.

Midterm exams will be worth 100 points each
and the final exam will be worth 200 points.

Homework performance will count for 40 points.

Quizzes will determine 100 points.

Cooperative problem assignments and summaries
will be used to determine 50 points.

The oral quiz on the chain rule will be graded
on a credit(10 points)/no credit(0) basis.
Reality Quizzes 
100 points 
Oral Quiz 
10 points 
2 Midterm Examinations 
200 points 
Homework 
40 points 
Cooperative work 
50 points 
Final Examination 
200 points 
Total 
600 points 
The total points available for the semester
is 600. Notice that only 400 of these points are from examinations, so
regular participation is essential to forming a good foundation for your
grades as well as your learning.
MORE THAN 3 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
** See the course schedule for the dates related to the following:

No drops will be allowed without "serious and compelling reasons" and a
fee.

Students wishing to be graded with either CR or NC should make this request
to the Adm & Rec office in writing or by using the web registration
procedures.

No drops will be allowed.

Technology:
The computer or a graphing calculator can be used for many problems. We
may use X(PLORE) or Winplot. A version of X(PLORE) is available at
the bookstore for MAC based PC's along with the PC version we will
use.Windows and DOS versions of X(PLORE) are also available online...X(PLORE)
for Windows.Winplot is freeware and may be downloaded
from
Rick Parris's website or directly from this link for Winplot
.
Students
wishing help with any graphing calculator should plan to bring their calculator
manual with them to class.

Graphing Calculators: Graphing calculators are welcome and highly
recommended. We will use the HP48G for some inclass work though most graphing
calculators will be able to do much of this work. HP48G's will be available
for students to borrow for the term through me by arrangement with the
Math department. Supplementary materials will be distributed if needed.
If you would like to purchase one or have one already, let me know. I will
try to help you with your own technology during the optional "5th hour"s,
or by appointment (not in class).

Optional "5th hour"s: Many students find beginning calculus difficult
because of weakness in their precalculus background skills and concepts.
A grade of C in Math 115 (Algebra and Elementary Functions) might indicate
this kind of weakness. Difficulties that might have been ignored or passed
over in previous courses can be a major reason for why things don't make
sense now. I will try to organize and support additional time with small
(or larger) groups of students for whom some additional work on these background
areas may improve their understanding of current coursework.
Later in the semester optional hours will be available to discuss routine
problems from homework and reality check quizzes as well as using technology.
These sessions should be especially useful for students having difficulty
with the work and wishing to improve through a steady approach to mastering
skills and concepts.
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