Martin Flashman's courses- Math 109 Fall, '99

Martin Flashman's Courses

Math 109 Calculus I Fall, '99
T 1000-1050 GH215
RF 0930-1050 GH 124
Team Assignment II is due Tuesday, 12-7
Problem 2 revised 12-3-99.

Course Description
Course Assignments: Text Problem lists

III

Course Problem of the Week (sometimes with hints, etc.)
Calculus @UTK Courses at the Univ. of Tenn. that use the Stewart text book (3rd Ed'n.) They provide some useful supplementary materials for Math 109,110,210.
Visual Calculus (Univ. of Tenn.) calculus (first year) tutorials, etc.
Calculus web sites for surfing.
Winplot and X(plore) (DOS) files [An experiment... this may not work.]
Some advice on how to suceed in a calculus course (at the Univ. of Nebraska)

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Last updated: 9/25/99

Fall, 1999     Problem Assignments(Tentative as of 7-9-99)       M.FLASHMAN 
MATH 109 : CALCULUS I 
Stewart's Calculus 4th ed'n.

Section   Problems (*= interesting but optional) 
-------   --------------------------------------
                  Assignments and recommended problems I

1.1 8/26->   1,2,10,13,15,17,21,22,45, 47, 48, 51, 53
    8/26->  rev. sheet 1-3,6,13,15,16,18,19
    8/26-> Appendix B: 7-10; 17-20; 21-35 odd; 62
1.2 8/27->    1-5;8,10;19
1.3 8/31->    3;5; 54, 55; *65
1.4 9/2 ->   1,3,37
2.1 9/7 ->   (i)1,2,4; 
    9/7 ->   (ii) 5,8
2.6 9/10 -> (i)1-3,5,6,9  
    9/10 ->  (ii)11,13,15,17-19
3.1 9/14->  (i)1-3,5,13-16
    9/16->   (ii)7,8,19-21,26,29
    9/17->   (iii)11,13,23
3.2 9/17->   (i)1,3-7; 17-23 odd
     WAIT  (ii) 31,32,37
9/21-> Review trig.. Appendix D Especially formulae 6-8,10,12,13
3.4  9/23->  (i) 1-3;11;21,23
     9/24->  (ii) 27,28,*33

Tentative Schedule of Topics (Subject to change) 8-20-99
Tuesday	Thursday	Friday
8/24 Introduction	8/25 Review- 1.1 Functions- max w/quadratics	8/26 Review+ intro to tangents
8/31 2.1 /2.6 Tangents/ graph'l interpretation	9/2 2.1/2.6 Tangents	9/3 velocity/position/rates
9/7 more on velocity, rates...2.6 The derivative: Def'n. + 3.1;	9/9The derivative: Def'n. + 3.1;	9/10 More on the derivative- 3.2;
9/14 More on the derivative- 3.2;	9/16 rates 3.4;powers 3.3	9/17 sums/ scalars/polys.3.3
9/21;product 3.3	9/23 quotient 3.3	9/24 sine 3.5 3.2; trig, 3.2;3.5
9/28 Proofs of trig.3.5	9/30 Begin:continuity and diff 2.5, Chain Rule 3.6	10/1 Chain Rule 3.6, continuity defined.
10/5 continuity and diff 2.5	10/7 Impl diff'n 3.7;Begin IVT 2.5;	10/8 More IVT.(Bisection)
10/12 Newton 4.9	10/14 Finish Newton. Related rates 3.8	10/15 More related rates.
10/19 Start Extremes 4.1	10/21 More on extremes 4.1	10/22 Increasing / decreasing 4.3 Applications of extrema. 4.7
10/26 Convexity and the Second Derivative.4.3 More Extremes.	10/27 Asymptotes/etc.	10/28Mean Value Theorem/
11/2 Linear Estimates.	11/4 The differential.	11/5 Differential Equations- What is a solution?
11/9 Anti-derivatives.Tangent Fields and Integral Curves.	11/11Euler's Method.	11/12 Area and Euler's Method.The Fundamental Theorem I.
11/16 More on The F of C and estimates using euler sums.	11/18 The definite integral, The FT of C. Substitution. Area and Net change in position interpretations.	11/19 More on using the definite integration. Change of variables. Interpretation of negative values of integrals.
11/30 Integrals by midpoints and endpoints. Area between curves (dx)	12/2 Basic properties of the definite integrals. Area (dy). Start Volumes.(X section)	12/3 FTof C (I) More on volumes. (Discs) Start work.
12/7 More on volumes (Shells)	12/9 Work.... Breath	12/10

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                  Assignments and recommended problems II
3.3 9/21-> (i)1-5, 7-15 odd, 28-30,43
    9/23-> (ii) 8-16 even, 19-22; 55a, 56(a,b), 59a, 61-63, 66-68
    9/24-> (iii) 83, 18, 23-25, 31; 49, 53, 54, 55 (b,c), 58, 65, 73, *74
2.5 10/1 LOOK AT 3,4
   10/5-> (i)3,4,7,17-20,34,37
   10/7->  (ii) 38
   10/12->   (iii) 41-45 odd,48, *(55,56), 59
3.5 9/28->(i) 1-3,5,10,11,13,22,23,28,31
    9/30->(ii) 4,6,9,21,26,33,45a,*34
    10/1-> (iii) 35,36,38,39,43 
3.6 10/1-> (i) 7-14 use Leibniz notation.
    10/5-> (ii) 16, 17,21,27,31,37,45,51,53,55,*57, 59, 63, *70
3.7 10/8-> (i) 5-10,, 15, 25, 26,29, 36, 37, *38
    10/15-> (ii) 41, 42, 51, *53
4.9 10/15-> 1,3,5-7,11,15,16,25,*26,*27
3.8 
3.9 10/15-> (i)3,5,11
    10/19-> (ii) 7,10,12,16,19,31,32 

                 Assignments and recommended problems III
 
4.1  10/22 -> (i) 3-6;31-41 odd, 47,49,11,34,48
     10/26 ->(ii) 13, 51, 53, 57, *65
4.2  11/2  -> 7,8,11,23 
4.3  10/26->  (i)5,6, 8(a,b), 11(a,b), 25(a,b), 27 (a,b)
     10/28->  (ii)7,8, 11c, 17, 21-23, 25(c-d), 27(c,d), 47
4.4  10/29->  (i) 3,4, 11-15, 31-34, 39-41
     11/2->  (ii) 47-49, 55, 56
4.5  11/5->  (i) 1-11 odd, 31, 36
     11/11-> (ii) 27, 32, 35, 38
4.6  11/9->    1,7, 10, 21
4.7  10/26 -> (i) 1,2,7
     10/28 -> (ii) 9, 15, 17, 29
     10/29 -> (iii) 24, 34, 49, 53
     11/2  -> (iv) 48,50
3.10 11/4 -> (i) 5,7,9
     11/5 -> (ii) 15-17, 21-25 odd, 31,33 
     11/11 -> (iii) 42-45

IVA  11/9 -> 1(a,d,e,f,h),4,5(a,b),10

                 Assignments and recommended problems IV
4.10 11/11->  (i) 1-3, 5-11 odd,15-17, 25-28, 41,47
     11/12->  (ii)31-37 odd,,51,52, 53, 55, 57
10.2 
IVD  11/12-> 1-11 odd
IVE  11/12->  (i)1,2   
     11/18->  (ii) 5 (a,b), 7(a,b), 11(a,b)
IVF  11/18->  1,3,5,13,15,17,19,21,23
5.3  11/18->  (i) 17-23 odd (Use F T of Calc)
             (ii) 39,49,51,
5.4  12/2 -> Review (i) 1-9 odd,17-27 odd, 45
     12/3 ->   (ii) 47-51 odd,53,55
5.5  11/18-> (i) 17-23
     11/19-> (ii) 37-41
                  Assignments and recommended problems V
5.2 12/2-> (i)2,5,6,7,8,15-18,29,*30  
    12/3-> (ii)31-35(odd);39,43-46,47-57(odd),63
6.1 12/2-> (i) 1,2,7,11,15,16
    12/3-> (ii)3,4,17,19,45,29,33,39,41,*47
6.2 12/3-> (i)51,52,*61,1,3,7
6.3 
6.4 
6.5 
2.4

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Fall, 1999                 COURSE INFORMATION               M.FLASHMAN
MATH 109 : CALCULUS I                       T 1000-1050 GH 210       RF 0930-1050 GH 124
OFFICE: Library 48                                        PHONE:826-4950
Hours (Tent.): MW 10; TR 11:15-12:20; F 2              AND BY APPOINTMENT or by CHANCE!
E-MAIL:flashman@axe.humboldt.edu WWW:      http://flashman.neocities.org/
***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 self-scheduled midterm exams, and two special "team" assignments which I will grade (numerically).

Homework assignments are made regularly and should be 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.
MAKE-UP 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! ***

Writing Assignments: At the beginning of each class you will submit a brief statement (at most four sentences) describing the content from the previous classes and any topics you would like to discuss further either in class or individually. I will read these and return them the next class.
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 40 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, the team assignments will be worth 50 points each, and the final exam will be worth 200 points.
The work on the daily writing will be worth 30 points (based on quality of work and coverage).
Homework performance will count for 60 points.
Quizzes will determine 100 points.
Cooperative problem assignments and summaries will be used to determine 40 points.
The oral quiz on the chain rule will be graded on a credit(20 points)/no credit(0) basis.

The total points available for the semester is 750. 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.

** 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 will use X(PLORE), Winplot, and Geometer's Sketchpad. A version of X(PLORE) is available at the bookstore for MAC based PC's along with the PC version we will use.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 in-class 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 pre-calculus background skills and concept. 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 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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