Martin Flashman's Courses
Math 109 Calculus I Spring, '00
MTWR(Optional F) 0900-0950 HGH 204
Final Examination:
Wednesday 5-10-00 08:00-10:00 or self scheduled- See Prof. Flashman

Last updated: 4/7/00
 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 Anti-derivatives. 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 Applications-Prelude 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 1-3,6,13,15,16,18,19
1/20->  Appendix B: 7-10; 17-20; 21-35 odd; 62
1.2 1/24->    1-5;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)11,13,15,17-19
3.1  2/1-> (i)1-3,5,13-16
2/2->  (ii)7,8,19-21,26,29
2/2-> (iii)11,23
3.2  2/3->  (i)1,3-7; 17-23 odd
2/21->  (ii) 31,32,37
Review trig.. Appendix D Especially formulae 6-8,10,12,13
3.4  2/7&8-> (i) 1-3;11;21,23
2/8-> (ii) 27,28,*33```
```                  Assignments and recommended problems II
3.3  2/9 -> (i)1-5, 7-15 odd, 28-30,43
2/10->(ii) 8-16 even, 19-22; 55a, 56(a,b), 59a, 61-63, 66-68
2/14->(iii) 83, 18, 23-25, 31; 49, 53, 54, 55 (b,c), 58, 65, 73, *74
2.5 2/23->(i)3,4,7,17-20,34,37
3/1-> (ii) 38
3/1->(iii) 41-45 odd,48, *(55,56), 59
3.5 2/16->(i) 1-3,5,10,11,13,22,23,28,31
2/17->(ii) 4,6,9,21,26,33,45a,*34
2/24->(iii) 35,36,38,39,43
3.6 2/21->(i) 7-14 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) 5-10,, 15, 25, 26,29, 36, 37, *38
2/28-> (ii) 41, 42, 51, *53
3.8 2/28-> (i) 1-15 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) 1,3,5-7
3/2->  (ii)11,15,16,25,*26,*27
Assignments and recommended problems III

4.1 3/2-> (i) 3-6;31-41 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, 21-23, 25(c-d), 27(c,d), 47
4.4 3/22->(i) 3,4, 11-15, 31-34, 39-41
3/23->(ii) 47-49, 55, 56
4.5 3/23-> (i) 1-11 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) 15-17, 21-25 odd, 31,33
3/27->(iii) 42-45

Assignments and recommended problems IV
3/28-> 1(a,d,e,f,h),4,5(a,b),10
4.10  3/29-> (i) 1-3, 5-11 odd,15-17, 25-28
4/3-> (ii)31-37 odd,41,47,51,52, 53, 55, 57
10.2  read 620-623 (i)3-6,7,9, *15, *17
4/5-> read 624-626 (ii) 19a, 21, 24
IVD  4/3->1-11 odd
IVE  4/4-> (i)1,2
4/5->(ii) 5 (a,b), 7(a,b), 11(a,b)
4/10-> 1,3,5,13,15,17,19,21,23
5.3  4/11-> (i) 17-23 odd (Use F T of Calc)
(ii) 39,49,51,
5.4   4/13->(i) 1-9 odd,17-27 odd, 45
4/17-> (ii) 47-51 odd,53,55
5.5  4/17-> (i) 17-23
4/18-> (ii) 37-41
Assignments and recommended problems V
5.2  4/19 ->(i)2,5,6,7,8,15-18,29,*30
4/20-> (ii)31-35(odd);39,43-46,47-57(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-> 1,3,5,13-15```
```5.3  5/1-> (i) 1,3,4, 9
5/2-> (ii) 5.7,11, 13, 39, *45, 49
2.4```
Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Spring, 2000                                COURSE INFORMATION                                    M.FLASHMAN
MATH 109 : CALCULUS I                                MTWR 0900-0950 HGH 204
OFFICE: Library 48                                        PHONE:826-4950
Hours (Tent.):  MTWR 10:15-11:30  AND BY APPOINTMENT or chance!

E-MAIL: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 self-scheduled 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.
• 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! ***
• 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 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 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.