Martin Flashman's Courses
Math 109 Calculus I Spring, '12
MTRF12:00-12:50      Founders Hall 177
Work in Progress! Subject to Change.

• Winplot Materials: Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot .

Last updated: 1/13/2012

CALENDAR SCHEDULE
NOTICE: All items on this syllabus are subject to change.
( last revision noted 1-13-12)
Week
Monday
Tuesday
Thursday
Friday
1 1-16  No Class
MLK Day
1-17
Introduction & Review
1-19
More review.
1-20 The Tangent Problem
Circle... parabola.
2
1-23
Lines: slopes
Mapping figures.
1-24 Slopes of tangents revisited.
1-26 Models: rates
Introduction to the Derivative
1-27 More on the Derivative
3
Summary #1 due Thursday  2-2
1-30 More on Derivatives.
Start on the calculus of derivatives; Notation!
1-31More calculus and "limit" notation !
2-2 More!

2-3Start calculus core and rules.
Problem of the Week #1: Due Monday 2-13 (revised 2-7) 2-6 Powers, sums, constant multiples.
2-7 More Core and rules applied.
Negative powers.
Begin Exponential functions.
2-9 More on Exponential and rules
Start fractional Powers

2-10 Proof of Sum and Scalar rules
A function without a derivative. |x|.

5 Summary #2 due Thursday 2-16
2-13 ln- derivative - a quick look.
Marginal cost.

2-14The second derivative and acceleration.

2-16 Functions and "continuity"
More functions without derivatives.
Infinite limits. (sqrt(x))

2-17 Diff => Cont.
One sided Limits.
6 POW #2: Due Thursday 2-23 2-20 Product Rule
Intermediate Value Theorem and applications to inequalities.
2-21 Quotient Rule
IVT and solving equations.
Newton's method(?)
2-23 Sine
More Newton's Method

2-24 Finish sine, cosine, etc.
7

Summary #3 due Thursday 3-1
2-27 Chain Rule
Continuity and Extremes.
2-28 More chain rule  and applications to related rates and implicit differentiation.
3-1 Ln- the last core function.
3-2 related rates
Exam I  Self scheduled:
Wed. 3-8
3-5 more related rates and ln.
3-6 More applications of ln,begin logarithmic differentiation
3-8 log diff.
3-9 begin extremes.

No classes. Spring break
9POW #3: Due Thursday 3- 24
Summary #4 due Friday 3-25
3-19 Extremes and applications
3-20 First Derivative analysis of function behavior.
3-22 The Mean Value Theorem:
A fundamental theorem of calculus and it application to derivative analyis.
3-23 The Mean Value Theorem:
proof and 1st deriv analysis for extremes.
10  3-26 Concavity and the second derivative. 3-27. Linear estimates, differentials, extremes and 2nd deriv.
3-29 The differential.
3-30 No Class CC Day

11 POW #5: Due Thursday 4-7 4-2 More Extreme Problems and other applications of the differential and the derivative.
Asymptotes.
4-3 More asymptotes,
4-5 Still more on asymptotes and extremes.
4-6 Cusps and asymptotes. Begin Differential Equations,
12 Summary #5 due 4-14  4-9 DE's Solutions, antiderivatives, Initial Vale Problems.
4-10 Simple calculus for antiderivatives, Tangent (Direction) fields.
4-12
4-13
13 Exam II  self scheduled Wed. 4-20
4-16 Euler's Method
4-17 Euler and ... Area and .. FTof Calc.
4-19 The Definite Integral and the FT of C
4-20
14POW #6: Due  4-28
4-23
4-24
4-26
4-27
15 Summary #6 4-30
5-1
5-3
5-4
 16 Final Examination Self scheduled Review Session: Sunday TBA 5-7 5--8                       FOR 107:  1500-1700 5-9 5-10                        ARTA_027    0800-1000 5-11  FH 177:   1020-1220  FOR 107:  1500-1700

Spring, 2012     Problem Assignments - Updated regularly.
NOTICE: All items on this syllabus are subject to change.
(Tentative as of 1-19-2012)
MATH 109 : CALCULUS I

Early or Just in time: When two due dates are given, the first date is for preparation and/or starting problems, the second date is for completion of related problem work on webassign (WA).
Assignments are active when a due date has been published.

On-line Sensible Calculus is indicated by SC.
Assignments and recommended problems
(*= interesting but optional)
Stewart [CET] Page Numbers need to be changed to 7th ed.

Date Due Reading Problems ( *= interesting but optional) Optional
1/20-23
1.1
SC 0.B1  Numbers [on-line]
WA: Review: Algebra; Lines; Circles; Functions; Trig SC 0.A What is Calculus?
1/23-24
SC 0.B2 Functions [on-line]

CET: Appendix B
WA: HW #1 M109 1.1 Function Notation and Representation On-line Mapping Figure Activities
1/24
1.2
SC 0.C [on-line]
WA: HW #2 M109 Lines (repeat of review!) and models  On Moodle: SC 0.B3 Lines
Practice Reality Quiz 1.
1/27-30
2.1
WA: HW #3 M109 Secant&Tangent Lines, Av. Rates (2.1) On Moodle:SC I.A; I.B
Stewart: 1.3
, 1.4
1/30-31
2.7On Moodle: SC I.D
On Moodle: SC I. E
HW #4 109 The Derivative! (2.7)  2.7: 3(a[ignore i and ii.Use 4steps as in class],b),
4(a[ignore i and ii.Use 4steps as in class],b),  9
1/31-2/2
2.8
3.1
HW #5 109 The Derivative More(2.8) 2.7: Use the 4 steps method with x or t = a when appropriate in 11,13,17-19; 25
2.8: 1;3;19-22 Use the 4 steps method to find f '(a)
2/6-9
3.1
On Moodle SC I F.1
HW #6 109 The Derivative for some Fns! (3.1)
2/9
3.1
HW #7 109 The Derivative Calculus Begins (3.1)
2/13
3.1
HW #8 109 The Derivative Calculus w/ e^x (3.1)
2/14-16
2.8
HW #9 109 Calculus... 2nd and 1st Deriv. (3.1)
Below this line is not yet assigned!

2.5, 3.1
HW #9 109 No Derivative? (2.8)

2.5pp119-121; 126-127
4.8 334-336
2.8 p 157 Example 5

(iii)p157-160. Differentiability and continuity
4.8
Read web materials on Newton's Method.
HW #11 109 MarginalCost ? continuity I (3.7; 2.5)
HW #12 109 Continuity and IVT (2.5)
HW #13 109 Newton's Method (4.8)

3.2 HW #14 109 Products ( 3.2 )
HW #15 109 Product and Quotient Rules (3.2)

Appendix D
Especially formulae 6-8,10,12,13
3.3
HW #16 109 Trigonometric Functions ( 3.3 )

Read web materials on trigonometric derivatives. HW #17 109 Trigonometric Functions II ( 3.3 )

3.4 The Chain Rule
HW #18 109 Chain Rule I ( 3.4 )

3.5
Read web materials on implicit differentiation.
HW #19 109 Chain Rule II ( 3.4
HW #20 109 Implicit Differentiation&Rates ( 3.4 )

3.6 Logs
HW #21 109 More Rates and Ln! (3.6 and 3.9)

3.7, 3.8
HW #22 109 Ln and differentiation (3.6)

3.9 Related rates

2.8 Higher Order Derivatives

2.5 pp 126-127

4.1(i)pp271-274
(ii) pp275-276 plus
On-Line tutorial on Max/mins
HW #23 109 Extremes ( 4.1 )

4.7 HW #24 109 Extremes II (4.7)

4.2 The MVT!

4.3(i) 287-289

(ii) 290-294
HW #25 109 MVT Plus ( 4.2 &4.3 )
HW #26 109 concavity I (4.3)

2.2 pp94-96 Vertical Asymptotes HW #27 109 Concavity II (and Words) ( 4.3 & 4.7 )

4.4 (i) 298-302
Horiz. Asymptotes
(ii)

3.10 (i)  205-207
(ii) 209-210
HW #28 109 Estimation (linear & dy) (3.10 )

HW #29 109 Graphing (with tech)+max/min (4.6, 4.7)

IVA(On-line)
A java graph showing
f (x)=P'(x) related for f a cubic polynomial

4.9
HW #30 109 Antiderivatives and DE's (4.9)

Examination #2 Self Scheduled (See Moodle)
Covers primarily Assignments 20-30.

9.2 (i) 572-575
(ii) 575-577
HW #31 109 direction fields DE's & IVP's (9.2)

IVD (on-line)

IVE (on-line) HW #32 109 Euler's Method ( 9.2)

VA ( On Line) NEW! HW #33 109 The Fundamental theorem I

5.3 (i) and (ii) p391-392
(iii) p393-396
HW #33 109 The Fundamental theorem I

Appendix E p.A34
Sum Notation

5.4 (i)and (ii)p347-350
(iii)351-352

5.5 (i) 400-403
(ii) 403-406

5.2 (i) p; Example 2a; .
(ii)

6.5

6.1 (i) pages
(ii) pages

6.2 (i) pp
(ii) pp
(iii)p

6.3

6.4 p

2.4?

(i) Sens. Calc. I.C.1 on Probability Models

(ii) Calculus and Probability Outline (on-line)

5.1

Read on-line  Sens. Calc. 0.C on Probability Models

Sens. Calc. I.C.1 on Probability Models

OFFICE: BSS 356                                      PHONE:826-4950
Office hours : BSS 356 MF 13:00-13:50  and by appointment or chance.
BSS 308 T 5:00- 6:00, W 4:00-6:00
E-MAIL: flashman@humboldt.edu               WWW:  http://users.humboldt.edu/flashman/
***PREREQUISITE: Math 115 or Math code 50 or permission.

• TEXTS: Required: Calculus, Early Transcendentals, James Stewart, 7th edition (single variable ok). [CET]
• Webassign
• Excerpts from Sensible Calculus by M. Flashman as available from this webpage and Moodle.

• Catalog Description: Limits, continuity, derivatives, integrals, and their applications.
• 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. You might also check Teresa (Tami) Matsumoto's CALCULUS REVIEW Page for suggestions on how to check your readiness for calculus.
• #### Math & Quantitative Reasoning GE Outcomes Upon completing this requirement students will:

1. use skills beyond the level of intermediate algebra to solve problems through quantitative reasoning.

2. apply mathematical concepts and quantitative reasoning to problems.

• 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 Moodle for on-line reality quizzes. You can also go directly to the HSU Moodle .
• Calculus Readiness Diagnostic Test: (CRDT) During the first week of classes students will take an on-line calculus readiness diagnostic test. This test will assist students in focusing review work for the course.
The score (out of 40) that you report from taking this test counts does not toward your grade. It is required and a printed copy of your results should be submitted to me no later than 5:00 pm of January 20th.
Its purpose is to recognize what you know about topics that provide a background for this course. This test is diagnostic and may help you by indicating where you may need additional work to prepare for work in this course.
When you complete the test, it will give you a total score and a diagnostic score. Print the results and submit a copy to me or e-mail an electronic copy to me no later than January 20th
• Homework assignments are made regularly. They should be done neatly. We will be using WebAssign to grade homework. Record your homework results  by 10:30 AM of the due date.
Problems from the assignments will be discussed in class based on the WebAssign report on submitted homework. Homework assignments will be used in determining the 110 course points.
• HOMEWORK MAY NOT BE GRADED THREE CLASS DAYS AFTER THE DUE DATE.
• You MAY e-mail or submit a written request before the start of class for me to discuss in class a problem or a question you have about the previously assigned reading or problem work.
• I will be available after class and during my office hours and by appointment for other questions.
• Midterm Exams will be self-scheduled and announced at least one week in advance.
• THE FINAL EXAMINATION WILL BE SELF SCHEDULED. See the Final Examination in the course schedule for available times and days.
• 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! ***
• Partnership Activities: Every two weeks your partnership 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.  Partners will receive corrected photocopies.
• Your summaries will be allowed as references at the final examination only.

Every other week (with some exceptions) partnerships will submit a response to the "problem/activity of the week." (POW)

All  cooperative partnership work will be graded  5 (well done), 4  (OK), 3 (acceptable), or 1(unacceptable) 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 110 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 .
 CRDT 20 points Reality Quizzes 150 points Oral Quiz 20 points 2 Midterm Examinations 200 points Homework 110 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.
MORE THAN 4 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
FINAL GRADES: Though final grades for the course are subject to my discretion, I will use the following overall percentages based on the total number of points for your work to determine the broader range of grades for the course.
A
85-100% ;   70- 84% ;  C  60- 69% ;  D  50- 59%  ;  F   0- 49%

# University Policies

## Add/Drop policy: See the University rules and dates related to the following:

• No drops will be allowed without "serious and compelling reasons" and a fee after this date.
• No drops allowed after this date.
• Students wishing to be graded with either CR or NC should make this request  using the web registration procedures.

## Attendance and disruptive behavior:Students are responsible for knowing policy regarding attendance and disruptive behavior.Attendance and Disruptive Behavior Policy.

• Technology: The computer or a graphing calculator can be used for many problems.We will use Winplot, Microsoft Xcel, and Wolfram|Alpha.
• Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot .
• This software is small  can be used on any Windows PC on campus.
• Online introductions and help for Winplot is available.
• 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, 92 and Inspire are particularly useful though most graphing calculators will be able to do much of the work.
• A limited number of graphing calculators are available for students to borrow for the term through the Math department.
• Should you decide to purchase a graphing calculator, see me if you would like my advise.
• Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
• I do not use a hand-held graphing calculator during class time.
• Lap top computers are welcome in class at tools. (Not for other purposes.) They will not be allowed on exams.
• Only handheld calculators will be allowed on exams.
• I offer help to 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. 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.
• Calculus Drop-in Tutoring  from HSU Faculty is available  in BSS 308

 -----Time------ ---Monday---- -----Tuesday---- --Wednesday-- ---Thursday--- ----Friday----
 2-3 PM X X X Johnson 3-4 PM Freedman Haag Freedman Haag Johnson Lauck 4-5 PM Goetz Goetz Flashman x x 5-6 PM Lauck Flashman Flashman x x

• 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.
• 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.