Martin Flashman's courses- Math 109 Spring, '03

Martin Flashman's Courses Math 109 Calculus I Spring, '03 MTRF 11:00-11:50 SH 115 Check Blackboard for Reality Quizzes 23, 24 and 25!

Final examination will be allowed 2 hours. CHECKLIST FOR REVIEW + Bonus Problem Review session in LIB 56: Sunday 3-5

**Final Examination Self-Schedule Spring, 2003**
Time	Monday	Tuesday	Wednesday	Thursday	Friday
1020-1220	Room: SH 116	Room: SH 116 Math 109 Scheduled	Room: SH 116	Room: SH116 Math 210 Scheduled	No Exams
1300-1500	Room: TBA	Room:TBA	Room: TBA	No Exams Office Hours [1400-1600]	No Exams
1500-1700	No Exams	No Exams Office Hours	No Exams Office Hours	Room: TBA

Course Description
Course Assignments: Text Problem lists (most recent)
Course Problem of the Week Eighth POW due Monday, 5-5-03 (sometimes with hints, etc.)
NEW! Practice problems from Calculus@internet
Winplot Materials: Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot .

Want to find out what your learning style is? Here are two interesting learning styles inventories on the web: (1) NC State (2) Diablo Valley College .
Some advice on how to suceed in a calculus course (at the Univ. of Nebraska)

�Algebra Review in Ten Lessons� from the Univ. of Akron.
NEW! Calculus Review: subject reviews and testing on-line at San Jose State
Math 095 modules at CSU Northridge (ALG II w/ geometry)
Algebra topics at the Purple Math website

Calculus web sites for surfing.
Online Mathematics Tutorials at Harvey Mudd College! NEW... many excellent tutorials...Calc I-III, DE's, Linear Algebra.
Visual Calculus (Univ. of Tenn.) calculus (first year) tutorials, etc.
Applied Calculus (many good summaries, examples, and tutorials)
Mathlets: Excellent Java applets for Calculus I-III, etc.
Math 1002 calculus at University Of Aberdeen: Calculus Notes from Ian Craw.
Calculus@Internet Many references to resources.

Back to Martin Flashman's Home Page :)
Last updated: 1/27/03

Spring, 2003 MATH 109 : CALCULUS I M.FLASHMAN
Stewart's Calculus 4th ed'n.
**Assignments and recommended problems (tentative- subject to change!)**
Date Due	Reading	Problems ( *= interesting but optional)	Optional	Viewing: Ed Berger CD Tutorial [# of minutes] * means optional
1-24	1.1	1,2,10,13,15,17,21,22,45, 47, 48, 51, 53		Introduction; How to Do Math
1-27	0.B2 [on-line] Appendix B	rev. sheet (on-line): 1-3,6,13,15,16,18,19 pg. A-15: 7-10; 17-20; 21-35 odd; 62	On-line Mapping Figure Activities	Functions [19]
1-28	1.2	1-5;8,10,11		Average Rates of Change [11]
1-30	1.3	3;5; 54, 55	*65	The Two Questions of Calculus [10]
1-28	0.B2 [on-line]	# 19, 20, 21
1-30	1.4	1,3,37		Parabolas [22]
1-31	0.C [on-line]	[Models and Mathematics- Probability ]
1-31	2.1	Geom (i)1,2,4		Slope of a Tangent Line [12]
2-3	2.1	Motion (ii) 5,8		Rates of Change, Secants and Tangents [19]
2-3	DO NOT Read 2.6	p121,122: 1(a),2(a),3,5(a[ignore i and ii.Use 4steps as in class],b),6(a[ignore i and ii.Use 4steps as in class],b),9
2-10		Summary of weeks 1-3 due by 5 pm
2-4	2.6	Use the 4 steps method with x or t = a when appropriate in 11,13,17-19; 15		Finding Instantaneous Velocity [20]
2-6(i) 2-7(ii)&(iii)	3.1	(i)1,7, 13-16 Use the 4 steps method to find f '(a) (ii) 2,3, 8,26,29 (iii)11,19-21,23		Equation of a Tangent Line [18]
2-10 (i)	3.2	(i)1,3-7; 17-23 odd (ii) 31,32,37,42	(ii) 41	(i)The Derivative [12] The Derivative of the Reciprocal Function [18] (ii)Differentiability [3]
2-10 2-14 and 17(Review again!)	Appendix D Especially formulae 6-8,10,12,13
Optional	CH. 5.1-5.3 - TRIGONOMETRIC FUNCTIONS (VIDEO)PRECALCULUS #8 CH. 5.4-5.6 - TRIGONOMETRIC FUNCTIONS (VIDEO) PRECALCULUS #9		Review of trigonometry on reserve in the library for Math 115.
2-11 (i) 2-17(ii) 2-18(iii)	3.4 (i) p 158-160 (ii)161-162, 165-166	(i) 1-3;11 (ii) 23,27,28 (iii) 12, 16, 20, 31	(ii)*33	(i) Instantaneous Rate [15] (ii)More on Instantaneous Rate [19]
2-11(i) 2-13(ii) 2-14 (iii) 2-17 (iv)	3.3(i) p 147-150 (ii)p 151-152 (iii) p 152-155	(i)1-5, 7-15 odd, 28-30,43 (ii) 8-16 even, 19-22; 55a, 56(a,b), 59a, 61-63, 66-68 (iii) 83, 18, 23-25, 31 (iv)49, 53, 54, 55 (b,c), 58, 65, 73	74 The Derivative of the Square Root [16]	(i) Uses of The Power Rule [20] (ii) Short Cut for Finding Derivatives [14] (iii)The Product Rule [21] (iv)The Quotient Rule [13]
2-18(i) 2-20(ii) 2-21(iii)	3.5 (i) pp170-173 (ii)pp 173-174 (iii)p175. Read web materials on trigonometric derivatives.	(i) 1-3,5,10,11,13,22,23,28,31 (ii) 4,6,9,21,26,33,45a (iii)READ Examples 4 and 5 first! 35,36,38,39,43	*(ii) 34**	Review of Trig[12] Graphing Trig Functions[17] (i)The derivatives of trig functions [14]
2-21	Read on-line Sens. Calc. 0.C on Probability Models
2-24 (i) 2-25(ii)	3.6 The Chain Rule (i) pp177-179 only! (ii) pp181,182	(i) 7-14 use Leibniz notation. (ii) 16, 17,21,27,31,37 (iii) 45,51,53,55, 59, 63	(iii)57,70	(i) Introduction to The Chain Rule [18] (ii)Using the Chain Rule [13]
2-25 (ii) 2-27 (iii)	3.2(ii)p 142Example 6 (iii)p142-3. Differentiability and continuity	(ii)33 (iii) 31,32,37	(ii) 41	(ii)Differentiability [3]
3-3	Read on-line Sens. Calc. I.C.1 on Probability Models
2-28(i)READ(&View) ONLY 3-3 (i) and view (ii) 3-4 (ii)	3.7(i) pp 185-188 (i)Read web materials on implicit differentiation.	(i) 5-10, 15, 25, 26 (ii) 29, 36, 37, 41, 42, 51	38, 53	(i)Intro to Implicit Differentiation [15] (ii) Finding the derivative implicitly [12]
3-3(i) Read (&view) ONLY 3-4 (i) 3-10(ii) 3-10(iii)	3.9 Related rates (i) pp199-201 (ii) pp201-203	(i)3,5,11 (ii) 7,10,12 (iii)16,19,31,32		(i)The Ladder Problem [14] (ii) The Baseball Problem[19]or The Blimp Problem [12]
2-27(i) 3-6 (ii) 3-7 (iii)	3.8 Higher Order Derivatives (i) pp192-194 (iii)pp 195-196	(i) 1-15 odd, 21 (ii) 43,44,47,51 (iii)35,36, 53	(iii) *(57,62)	(ii)Acceleration and the derivative.[5]
2-25 and 2-27 Read only (i) 2-28 Do problems(i) and (ii) 3-4 (iii) Intermediate Values	2.5 (i) pp 104-106 (iii) pp 111-2	(i) 3,4,7,17-20 (ii) 34,37, 38 (iii) 41,43,45,48, 59	(iii)55, 56	(i)One Sided Limits [6] Continuity and discontinuity [4]
3-6(i) 3-7(ii)	4.9 Read web materials on Newton's Method.	(i) 1,3,5-7 (ii)11,15,16,25	(ii)26,27
3-11(i) 3-13&14(ii)READ ONLY 3-25(ii) 4-1(iii)	3.10 (i) 205-207 (ii) 209-210 Read web materials on differentials	(i) 5,7,9 (ii) 15-17, 21-25 odd, 31,33 (iii) 42-45		(ii)Using tangent line approximations [25]
3-12	Examination #1	Covers all assignments through 3-10. Sections covered: 1.1-1.4, 2.1,2.5,2.6, 3.1-3.9,4.9 0.B2 , 0.C
3-11(i) 3-13 or 14(ii) 3-14(iii)	4.1(i)pp223-227 (ii) pp228-229 plus On-Line tutorial on Max/mins (iii) reread ... all	(i) 3-6;31-41 odd (ii)47,49,11,34,48 (iii) 13, 51, 53, 57, *65
3-14(i) 3-24(ii) 3-25(iii) 4-1(iv)	4.7	(i) 1,2,7 (ii) 9, 15, 17, 29 (iii) 24, 34, 49, 53 (iv) 48,50		(iii)The connection between Slope and Optimization [28] [optional] The Box Problem [20]
3-24(i) 3-27(ii)	4.3(i) 240-242 (ii) 243-246	(i)5,6, 8(a,b), 11(a,b), 25(a,b), 27 (a,b) (ii)7,8, 11c, 17, 21-23, 25(c-d), 27(c,d), 47		(i)[Optional]{Intro to Curve Sketching [9] Critical Points [18] The First Derivative Test [3] Regions where a function is increasing...[20] } (ii)Using the second derivative [17] Concavity and Inflection Points[13] The 2nd Deriv. test [4] Acceleration & the Derivative [6]
3-28	2.2 pp78-81 Vertical Asymptotes	8,9, 21-24		Domain restricted functions ...[11] Vertical asymptotes [9]
4-1(i) 4-1(ii)	4.4 (i) 249-255 Horiz. Asymptotes (ii)	(i) 3,4, 11-15, 31-34 (ii) 39-41, 47-49, 55, 56		(i)Horizontal asymptotes [18] (ii)Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Functions with Asy..and criti' pts [17]
4-3(i) 4-4(ii)	4.5 Read Examples 1-3!	(i) 1-11 odd, 31, 36 (ii) 27, 32, 35, 38		(i)Graphs of Poly's [10]
4-8 (i) 4-11(ii)	4.6 (i) Read Examples 1-3! (ii) Read Example 4	(i)1,7 (ii) 10, 21
4-3(i) 4-4 (ii)	4.2	(i)7,8,11,23, 25 (ii) 15, 19, 33		(i)Three Big Theorems [11]
4-4(i) 4-7(ii)	IVA(On-line) A java graph showing f (x)=P'(x) related for f a cubic polynomial	(i)On line IVA:1(a,d,e,f),10 (ii) 4, 5(a,b),8,11	(ii) 6	Antidifferentiation[14]
4-7(i) 4-8(ii) 4-10(iii)	4.10	(i) 1-3, 5-11 odd,15-17, 25-28 (ii)31-37 odd,41, 53, 55, 57 [revised 4-7] (iii)47,51,52		(iii)Antiderivatives and Motion [20] Antiderivatives of powers of x [18]
4-7	IVB (On-line) Read
4-10(i) 4-18?(ii)	10.2 (i) 620-623 (ii) 624-626	(i)3-6,7,9 (ii) 19a, 21, 24	*(i)15, 17*
4-8 Read only 4-10	IVD (on-line)	1-11 odd (online)
4-11(i) 4-14(ii)	IVE (on-line)	(i)1,2 (ii) 5 (a,b), 7(a,b), 11(a,b)
4-11	Lab assignment from 4-7	Lab assignment 4-7
4-11	IVF READ
4-14(i) 4-15 (ii) 4-17(iii)	IVF(On line)	(i)1,3,5,13,15,17(on-line) (ii) 19,21,23 (on-line) (iii) 33,34
4-15(i) 4-17(ii)	VA ( On Line) NEW!	(i)1,2 a (on line) (ii) 5(a,b)	2c
4-15(i) 4-17(ii) 4-18(iii) 4-21(iv) 4-22(v)	5.3 (i) and (ii) p342-343 (iii) p338,340,341	(i) 17-23 odd (Use F T of Calc) (ii) 18,20,22,29,31,35,37 (iii) 39 (iv) 5,7,12, 13 49 (v)51	(iv)56	(iv)The Fundamental theorem[17] Illustrating the FT[14] Evaluating Definite Integrals [13]
4-18	Appendix E p.A34 Sum Notation	pA38:1-4,11-13,17,18
4-18(i) 4-21(ii)&(iii)	5.4 (i)and (ii)p347-350 (iii)351-352	(i) 1-9 odd,10 (ii)17-27 odd, 45 (iii) 47-51 odd,53,55
4-21		Summary due.
4-23 Self Scheduled	Examination #2	Covers all assignments though 4-18 (Mainly material not covered in Examination #1)Tentative sections covered: 3.10, 4.1-4.7, 4.10, 10.2, IVA, IVB, IVD, IVE, VA, 5.3, 5.4, and Appendix E.
4-22(i) 4-29(ii)	5.5 (i) 356-358 (ii) 359-361	(i) 1-4; 7-13 odd; (ii)17-23; 37-41		(i)Undoing the chain rule.[9] (i)Integrating polynomials by Substitution [15]
4-24(i) 5-1(ii)	5.2 (i) p324-326; Example 2a; 330-331. (ii)331-334	(i)2,5,6,7,8,15-18,29 (ii)31-35(odd);39,43-46,47-57(odd),63	*30
4-24	6.5	1,3,5,13-15		Finding the Average Value of a Function [8]
4-28(i) 4-29(ii) 5-1(iii)	6.1 (i) pages 371-374 (ii) pages 374-376	(i) 1,2,7,11,15,16 (ii)3,4,17, 19, 45 (iii) 29,33,39,41	*47	(i)Area between two curves [9] Limits of integration-Area [15]
5-1(i)Read only! 5-2(i) 5-5(ii) 5-8(iii)	6.2 (i) pp 378-381 (ii) pp 381-384 (iii)p 385-386	(i)1,3,4,7 (ii) 5,10,19,23, 31, 32 (iii) 39, 40,51,52	61,59	(i)Finding volumes using cross sectional slices. Solids of revolution (ii)The disc method along the y-axis. The washer methods...
	6.3	(i)1, 3, 7, 8, 28 (ii) 9, 13, 21, 29 , 41, 43		Shells....
5-5 Read only 5-6(i) and(ii)	6.4 p394-395	(i) 3,5, 8 (ii) 11,13		Work.... Hooke's law
	2.4?
5-9 read(i)	(i) Sens. Calc. I.C.1 on Probability Models (ii) Calculus and Probability Outline (on-line)
5-8	5.1	3,11,13,14

Back to Martin Flashman's Home Page :)

OFFICE: Library 48 PHONE:826-4950
Hours (Tent.): MTRF 12:15-1:20 AND BY APPOINTMENT or chance!
On-line Math chat : I will frequently attend my math chatroom Tuesday and Thursday evenings at about 9:00 pm.
E-MAIL: flashman@humboldt.edu WWW: http://flashman.neocities.org/
***PREREQUISITE: Math 115 or Math code 50 or permission. See also Teresa (Tami) Matsumoto's CALCULUS PREPARATION Information Page .

TEXTS: Required: Calculus 4th Edition by James Stewart.(Brooks/Cole, 1999)

Sensible Calculus

Catalog Description:

SCOPE: This course will introduce 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 on the web.
Review. I have listed several on-line sites (besides that of our text) for help with algebra. If you don't do well on the on-line background assessment quiz [Blackboard], you might consider taking the calculus skills workshop - Math 280 (1/2 unit) [crn 22693;Fri 24-JAN-03, 7-9pm, Sat 25-JAN-03 9-4] at HSU for a blitz review of precalculus algebra and trigonometry. See me for more details on Math 280.
TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be an oral quiz on the chain rule, many on-line reality check quizzes, two self-scheduled midterm exams and a comprehensive final examination.

We will use Blackboard for on-line reality quizzes. Click here for some information on how to use Blackboard.
You can also go directly to the HSU Blackboard .
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! ***

Writing Assignments: At the beginning of each class you will submit

a brief statement (at most four sentences) describing the content from previous class,
a question related specifically to the reading assignment for that class, and
any topics you would like to discuss further either in class or individually.
I will read these and return them the next class. These will be used in determining 30 of the 130 points assigned for homework. No late reports will be accepted! [Notice that missing one class will result in missing two report opportunities.]

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.

Every week (with some exceptions) 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 or 300 points.
Homework performance will count for 130 points.
On-line Reality quizzes will be used to determine 150 points.[I will not use the lowest 20% of these scores.]
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(20 points)/no credit(0) basis.
The final examination will be be worth either 200 or 300 points determined by the following rule:

The final grade will use the score that maximizes the average for the term based on all possible points .


Reality Quizzes	150 points
Oral Quiz	20 points
2 Midterm Examinations	200 points
Homework	130 points
Cooperative work	50 points
Final Examination	200/300 points
Total	750/850 points

The total points available for the semester is 750 or 850. Notice that 350 of these points are not from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.

** See the university course schedule for the dates related to the following :

See the spring course list for a full list of relevant days.

Technology: The computer or a graphing calculator can be used for many problems.

We will use Winplot. Winplot is freeware and may be downloaded from Rick Parris 's website or directly from one of these links for Winplot1 or Winplot2 . This software is small enough to fit on a 3.5" disc and can be used on any Windows PC on campus. You can find introductions to Winplot on the web.

A version of X(PLORE) is available at the bookstore for MAC based PC's along with the PC version we may use.Windows and DOS versions of X(PLORE) are also available online... X(PLORE) for Windows.
Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
Graphing Calculators: Though much of our work this semester will be using the computer, graphing calculators are welcome and highly recommended. The HP48G, HP 49 and the TI-89 and 92 are particularly useful though most graphing calculators will be able to do much of the work. HP48G's will be available for students to borrow for the term 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. Students wishing help with any graphing calculator should plan to bring their calculator manual with them. I will try to help you with your own technology when possible during office hours or by appointment (not in class).

Use of Office Hours and Optional "5th hour"s: Many students find beginning calculus difficult because of weakness in their pre-calculus background skills and concepts. The Mathematics Department offers a weekend review of some of these through Math 280. [See me or the get more information at the Math Department office.] You might also check Teresa (Tami) Matsumoto's CALCULUS PREPARATION Information Page . 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.

You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is also available to discuss routine problems from homework after they have been discussed in class and reality check quizzes as well as using technology. Representatives from groups with questions about the Problem of the Week are also welcome.
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.
Regular use of my time outside of class should be especially useful for students having difficulty with the work and wishing to improve through a steady approach to mastering skills and concepts.

Don't be shy about asking for an appointment outside of the scheduled office hours.

**CHECKLIST FOR REVIEWING FOR THE FINAL** * indicates a "core" topic.
I. Differential Calculus: *A. Definition of the Derivative Limits / Notation Use to find the derivative Interpretation ( slope/ velocity ) B. The Calculus of Derivatives** * Sums, constants, xⁿ, polynomials Product, Quotient, and Chain rules Trignometric functions Implicit differentiation Higher order derivatives C. Applications of derivatives Tangent lines Velocity, acceleration, rates (related rates) Max/min problems Graphing: * increasing/ decreasing concavity / inflection *Extrema (local/ global) Asymptotes The differential and linear approximation Newton's method	D. Theory Continuity (definition and implications) Extreme Value Theorem /* Intermediate Value Theorem Mean Value Theorem II. Differential Equations and Integral Calculus:* A. Indefinite Integrals (Antiderivatives) Definitions and basic theorem Simple properties [ sums, constants, polynomials] Substitution B. Euler's Method, etc.* Euler's Method Simple differential equations with applications Tangent (direction) fields/ Integral Curves C. The Definite Integral* Euler Sums / Definition/ Estimates (endpoints/midpoints) /Simple Properties / Substitution Interpretations (area / change in position) THE FUNDAMENTAL THEOREM OF CALCULUS - evaluation form THE FUNDAMENTAL THEOREM OF CALCULUS - derivative form D. Applications Recognizing sums as the definite integral Areas (between curves). Volumes (cross sections- discs). Average value. Work.

Bonus Essay question for final:

Suppose P(t) is a positive continuous function on [a,b] that gives the velocity at time t of an object moving on a straight line. Explain using the mean value theorem why there is some number c between a and b where P(c) = 1/(b-a) ò_x=a ^x=b P(x) dx.

Interpret this equation with either

(i) a discussion of the velocity and position of the object with the position function given by a definite integral from time x=a to time x=t or

(ii) a discussion of the area under the graph of Y=P(x) above the X-axis from X=a to X=b and the area of a rectangle with height P(c) and width (b-a).

Back to Martin Flashman's Home Page :)