Martin Flashman's Courses
Math 110 Calculus I Fall, '05
MWF 2:30pm-3:25pm FOWLER 302
Lab 1  03:00pm-04:25pm T  FOWLER 307
Lab 2  01:30pm-02:55pm T FOWLER 307
The final examination may be taken on
1) Friday, Dec. 9th  1:00 - 4:00 pm or
2) Thursday, Dec. 15th 8:30 - 11:30 am.
CHECKLIST FOR REVIEWING FOR THE FINAL

Last updated: 8/30/05
 Week Monday Tuesday (Lab) Wednesday Friday 1. Introduction and beginning review. Ch 0 8-31 Introduction Numbers 9-2 Class Division Finish Intro. 2. Background and Motivation Ch 0 and  2.1 9-5 No Class Labor Day 9-6 Intro to Winplot Backboard 9-7 Linearity Functions Visualization. Models and linearity: Physical, Geometric, Random, Economic. 9-9More on functions and models.Physical, Geometric, Random, Economic. 3. The Derivative- As a Number- Definition 2.1 , 2.2 9-12 Change: The tangent problem. The Velocity Problem. 9-13 Secant and tangents with winplot. 9-14 More estimation of rates. Start the derivative. 9-16 The derivative: Definition and four steps. 4. The Derivative- As a Function. Core Algebraic Functions: Powers, roots,  Linearity. 2.2, 2.3 9-19 Begin Derivative as function. Number, graph, symbolic. Graphical connections between functions and their derivatives. 9-20 Rates, Accumulation and. Estimation. [Euler?] 9-21 Core functions and Rules. Powers, sums, scalar multiples. Interpretations. 9-23 More Core: Powers, sums, scalar multiples. 5. The Derivative, Other Models, The Differential and Estimation. 3.1? The Calculus of Derivatives. Trigonometry 2.5 9-26 Roots. Interpretations of rules plus other interpretations of derivatives: Probability, economic interpretations. 9-27 Estimations with population models:P'(t) depends on P and t 9-28 The differential and linear estimation. Intro to the Logistic Model. 9-30 More applications of the differential. Interpretations of rules. Other interpretations of derivatives: Probability, economic interpretations. Begin Sin ' and cos' 6. The Calculus of Derivatives.Products. 2.4 Trigonometry 2.5 Continuity and the Intermediate Value Theorem.1.3 Newton's Method. , 3.2 10-3 Finish Sin'(x), Cos'(x). Intro to f '', f '''', etc. 10-4 DE's,Winplot, Direction Fields and Euler's Method. Predator-Prey Models 10-5 The product rule. 10-7 Begin Continuity. IVT Newton's Method? 7.Direction Fields. Quotients 2.4 , Finish trig. 10-10 Finish Newton. Quotient Rule Apply to tan, sec 10-11Newton's method - with excel and winplot 10-12 Misc. Details on limits, continuity, Newton's Method. 10-14 "euler" and direction fields. 8. The Chain Rule! 2.7 Direction fields, Euler's method. 10-17review- euler and direction fields 10-18 Midterm Exam #1 10-19 Begin the Chain Rule.The Chain Rule! 10-21 Fall Break  No Class 9. Exponential and log functions. 2.6 Implicit Differentiation and related rates.2.8 10-24 More Chain Rule! Start Exponential Function derivatives. 10-25 Implicit functions- Implicit differentiation 10-26 More on implicit functions. Derivative of Exponential functions. 10-28 Derivative  of ln(x).Related rates.More implicit differentiation. 10. Inferences based on the derivative: Extrema,  2.9, 3.3, 3.7, (4.1) 10-31Related rates.More implicit differentiation. 11-1Gateway 3 ln(2) estimation using euler- with winplotand tables, and calculus! 11-2  more related rates. Extrema- "word problems". 11-4 More on extrema and  word problems. 11. The MVT, and antiderivatives. First derivative analysis. Increasing/decreasing, 2.9,3.4, 6.4, 6.6 11-7 More extreme problems. Proof of CPT. Inferences based on derivatives.The MVT . 11-8 Proof  of MVT and its immediate consequence for DE's. Arctangent estimation of pi, 11-9 Solving initial value problems. First derivative Analysis: Increasing/Decreasing. 11-11 More increasing decreasing, extremes, begin Concavity. 12  Second derivative analysis: Concavity, qualitative estimation  3.5, 3.6 Graphing: the Big picture. 1.4, 3.6. 11-14 Concavity 11-15 Exploring f where f '(x) = sin(x2) 11-16 Concavity and differential estimates. Asymptotes and infinite limits. 11-18 L'Hopital's rule 0/0, etc. 13 Misc. Applications.3.8 11-21 More on L'Hopital's Rule. Partial Derivatives.(on Line) 11-22 Midterm Exam #2 11-23 NO CLASS Thanksgiving Break 11-25 NO CLASS Thanksgiving Break 14. DE's and other Functions 6.7, 6.8 11-28 Partial Derivatives 11-29 Visualizing Partial Derivatives when z = f (x,y) 11-30 More on L'Hospital. Darts revisited! "Euler Sums, Net Change, and Differential Equations." 12-2 Estimations with Quadratic polynomials. 15. 12-5 12-6 12-7 LAST CLASS Review & Final  Remarks Friday 12-9 Final Exam Offering #11:00-4:00pm 16. 12-12 12-13 12-14 Thursday 12- 15 Final Exam Offering #2 8:30- 11:30 am

Fall, 2005              MATH 110 : CALCULUS 1         M.FLASHMAN
Tentative Assignments-This will be revised further! [8-30-05]
(Text: SM = Smith and Minton, 2nd Ed. / SC = Sensible Calculus online materials) and recommended problems(tentative- subject to change!)
Optional Viewing: Ed Berger CD Tutorial  [# of minutes]
* means optional
HW#1
9-2
SM 0.1
SC 0.B1 Numbers [on-line]

rev. sheet (on-line): 1-3,6,13,15,16,18,19
SM: p. 9: 5, 11, 21, 33, 43
SM: p10 49, 51
Introduction;
How to Do Math
HW#2
9-7
SM 0.2
SC 0.B2 [on-line]

SM: p20:5-7,13-17, 21-25,41-45;
53-58; 75,76, 89, 90, 96-98
SM:91-94
On-line Mapping Figure Activities
Functions [19]
HW #3
9-9
SM 0.2, 0.3, 0.4
SC 0.B2 [on-line]
SM: p21: 31-36, 59.
For the following problems ignore the instructions: Make a table with five entries. Sketch the corresponding graph and mapping figure for the data: 59, 60, 67,68,71.
SC 0.B2 On line # 2,3,11
On-line Mapping Figure Activities

SC 0.B2 On line # 19, 20, 21
Parabolas [22]

Average Rates of Change [11]
LAB #1
Submit by 9-9!
Lab #1 9-6-05
on Blackboard
Problem #1 submit with partner.
Problems #2 and 3 may be submitted solo or with partner.

HW #4
9-12
SM: 0.4,
0.8 (pp72-73only)
0.C [on-line]

Practice sheet for Gateway on Functions.
SM: p76: 3,4,8,9
Ch 0 rev: p78: 9-12,17,18, 63
The Two Questions of Calculus [10]

HW #5
9-14
SM: 2.1 pp 150-152, 155-156 middle.
SC I.A (Draft version)
SM: p161:9-14, 35, 36, 43, 44
SC: 0.C [on-line] 4,5

Slope of a Tangent Line [12]
Rates of Change, Secants and Tangents [19]
Lab #2
Submit by 9-16
Lab #2 9-13-05
on Blackboard
Submit Problems from lab.

HW #6
9-16
SC I.A (Draft version)
SM: Use "4 step method " to find the slope of the tangent line for these problems: p161: 21-25, 39,40
SM: p163:57
Finding Instantaneous Velocity [20]
Equation of a Tangent Line [18]
HW #7
9-19
SM: 2.2. pp164-169.
SC I.D (.pdf Draft version)
SM: Use "4 step method " to find the derivative for these problems: p173: 9,10, 13-15, 21-26, 35, 37, 53-56.
The Derivative [12]

HW #8
9-21
SM: 2.2. pp164-169.
SC I.E (.pdf Draft version)
SM :Use "4 step method " to find the derivative for these problems: p173: 7, 17, 36, 38, 47, 49, 50.
SC I.E (.pdf Draft version): 2, 3(a,b), 4, 5a, 6.

Instantaneous Rate [15]
The Derivative of the Reciprocal Function [18]
Lab #3
9-23
Lab #3 9-20-05
on Blackboard.

POW #1
Submit by 9-27
POW #1 on line.

HW #9
9-23
SM: 2.3.176-178.
SM p184: 5-8, 13,14, 44, 45, 47, 48; 63-67

Uses of The Power Rule [20]  Short Cut for Finding Derivatives [14]
More on Instantaneous Rate [19]
Summary  #1
Submit by 9-27 5 pm

This summary should cover work through HW #9.
Only partnership work will be accepted.
One submission per partnership.
2 sides of one page or one side for 2 pages.

HW #10
9-26
SM: 2.3 pp179-181.

SM: p184: 15-17,21,23,24,49
SC- CH1F.:2,3,5,9,13
SC: 14,16
Differentiability [3]
Review of Trig[12]

HW #11
9-28
SM:3.8 Example 8.5
SM:p 184:19, 20,43;  p317: 27-30

Lab #4
9-30
Lab #3 9-27-05
on Blackboard.
Sample for a logistic differential equation used in class: 9-28

HW #12
9-30
SC-Ch1.C1 (html Draft version)
SM 3.1pp242-244middle example1.3 .
SM: p249: 5-8,19

Read on-line Sens. Calc. 0.C on Probability Models
Using tangent line approximations [25]
HW #13
10-3
SM 2.5 pp196 toThrm 5.2, Ex: 5.3, 5.4.

SM p 203:5,6,11,29,31,33,36, 39,40,41
Read web materials on trigonometric derivatives.
The derivatives of trig functions [14]
HW #14
10-5
SM 2.3 p183-4
review
SM 2.5 pp196 toThrm 5.2, Ex: 5.3, 5.4.
SC-CH3A1(pdf)
SM p184:25-30, 35, 37, 39-41, 52, 53, 55
SM p204: 45, 46

Read web materials on trigonometric derivatives.

HW #15
10-7
SM: 2.4. pp 187-189, Ex. 4.7
SM: 2.5 : Ex. 5.1
SM p 194: 5-9, 33, 37, 39
SM p 203:9, 13, 17, 19, 34

The Product Rule [21]
HW #16
10-10
SM 1.3 pp102-104; 108-110
SM 2.2 p170 through Ex 2.9
SC-CH1.I(pdf)
SM:p 111: 5-10, 12, 15, 16, 37,

One Sided Limits [6]
Continuity and  discontinuity [4]

HW #17
10-12
SM: 2.4. pp 189-193 SM: 2.5. pp200-201, Ex. 5.5
SC-CH1.IB(pdf)
SM 1.3 pp102-104; 108-110
SM p 194: 11-13,19,20
SM p.203:7,10,18

The Quotient Rule [13]
HW #18
10-14
SC-CH1.IB(pdf)
SM 1.3 pp102-104; 108-110
SM: 3.2

SM: p 113:41, 43, 45
SM:: p256: 7-9, 11,17, 21,23,27, 29

Summary  #2
Submit by 10-15 5 pm

This summary should cover work through HW #18.
Only partnership work will be accepted.
One submission per partnership.
2 sides of one page or one side for 2 pages.

HW #19
10-17
SC-CH3A2(pdf)[newton's Method]
SC IVD [Tangent fields]
SM 6.6 pp 524 - 527??{euler)
SM: 528: 5,7
IV.D: 1-11 odd (online)

Read web materials on Newton's Method.
20.1.4 Direction Fields and Euler's Method [6]

10-18
Examination #1
Self schedule:
60-90 minutes 1:30-4:30 (lab time)
Covers all assignments and labs through that assigned for 10-15 and related reading.
Sample exam available on Blackboard.

HW#20
10-19

SC IVE  [Euler's Method]
SM 6.6 pp 524 - 527??{euler)

SC IV.E: 1a,2a Estimate y(3) only.
SM: p 528: 17, 19 [use spreadsheets.]

Introduction to The Chain Rule [18]
HW #21
10-24
SM 2.7  pp213-214. Examples 7.1, 7.4, 7.5, 7.6
SM 2.6 pp205-207 [exponential functions]

SM  p218: 5,9-11, 13-17, 25,27,48

Using the Chain Rule [13]
HW #22
10-26
SC Chapter II.B
SM 0.6 pp 50-54
SM 2.6 pp205-207 [exponential functions]

SM  P61: 21-24
SM: p 218: 6,12, 18, 25,27,29, 30, 42, 51,53

HW #23
10-28
SM : 2.8 pp 220-224
Read web materials on implicit differentiation.
SC Chapter I.F.2 Derivatives of exponential and logarthmic functions (in part)
SM: p 227: 5-7, 23, 26
SM : p 211: 5-8, 17, 18, 29
SM : p 218: 7,19, 20, 49
SM: p229:63
Intro to Implicit Differentiation [15]
Finding the derivative implicitly [12]
Derivatives of exponential functions [23]

HW#24
10-31
SM: p211
SM:2.8 pp225-226
SC Chapter I.F.2 Derivatives of exponential and logarthmic functions
SM:: p211: 19-22,,26,27,35
SM: p219:23,24,35

The Ladder Problem [14] Acceleration and the derivative.[5]
HW#25
11-2
SM:2.8 pp225-226

SM: p227:31,33,34,4145,48,49,51,62

The Baseball Problem[19]
The Blimp Problem [12]

HW #26
11-4
SM: 3.3
SM:p 268: 33-39,41

The connection between Slope and Optimization [28]
HW #27
11-7
SM: 3.3
SM: 3.7 pp298-303
On-Line tutorial on Max/mins
SM:p268; p267: 5-11, 21, 23
SM: p306: 8, 13,15

SC IVA(On-line) Critical Points [18]
Three  Big Theorems [11]
HW #28
11-9
SM: 2.9
SM: 3.7 pp303-306
SM p237:11, 35-37
SM: p268: 39, 41, 42
SM: p306: 15, 19
The Box Problem [20] Intro to Curve Sketching [9]
Summary  #3
Submit by 11-11
5 pm

This summary should cover work through HW #28.
Only partnership work will be accepted.
One submission per partnership.
2 sides of one page or one side for 2 pages.

HW #29
11-11
SM: 3.4 p269-274
SM: p 276: 5-8, 13,14, 43, 45.
SM: p 307:10,21
SM : p307: 27
The First Derivative Test [3]
Regions where a function is increasing...[20]

Antidifferentiation[14]
HW 30
11-14
SM: 3.5 pp278-282
SM: p 276: 15-17,27, 29,33, 35, 37
SM:  p308:37
Excerpts on line: Galileo: On Naturally  Accelerated Motion  and On the Motion of Projectiles
Using the second derivative [17] Concavity and Inflection Points[13]
Antiderivatives and Motion [20]
POW  #4
11-15
POW #4
Available on Blackboard

HW 31
11-16
SM: 3.5 pp278-282
SM:: p284: 7, 9-11,27,28, 41-43, 47, 49
SM: p308: 36

The 2nd Deriv. test [4]
Acceleration & the Derivative [6]

Graphs of Poly's [10]
HW 32
11-18
SM  1.4
SM 3.5 examples 5.6 and 5.7
SM 3.6: pp287-291
SM: p122: 5-11 odd, 21-27 odd
SM p 296: 5,7,23,24

11-22
Examination #2
Self schedule:
60-90 minutes 1:30-4:30 (lab time)
Covers all assignments and labs through that assigned for 11-18 and related reading.
Sample exam will be available on Blackboard.

HW 33
11-28
SM 3.1pp247-249
SM  3.6 Ex 6.6

SM: p 250 : 31- 36, 47,48

HW 34
11-30
SM 3.6 EX. 6.2, 6.3
ONLINE: SM:12.3(optional)

ONLINE SM:chap12.3: 5-9,[27 and 29 just evaluate the partial derivatives],47
SM: applets
tutorial at Harvey Mudd Partial Differentiation

HW 35
12-2
SM 7.6
DARTS
SM p. 3-7,17-19, 23-25, 27-29.

Basic Uses of L'Hospital's Rule
HW 36
12-5

Summary #4
Submit by
12-5
5 pm

This summary should cover work through HW #36.
Only partnership work will be accepted.
One submission per partnership.
2 sides of one page or one side for 2 pages.

SC-Ch1.C1 (html Draft version) : 4,5,7,8 *Graphing Trig Functions[17]

SC IVA(On-line)

On line IVA:1(a,d,e,f),10

SC IVA(on-line)

IVA: 4, 5(a,b),8,11

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

Antiderivatives of powers of x [18]

SC IVD
IV.D: 1-11 odd (online)
The connection between Slope and Optimization [28]

Domain restricted functions ...[11]

SC IVE (on-line)
IV.E: 1,2
Graphing ...asymptotes [10]
Functions with Asy.. and holes[ 4]
Functions with Asy..and criti' pts [17]
Horizontal asymptotes  [18]

Vertical asymptotes [9]

SC IVF(On line)
IV.F: 1,3,5,13,15,17(on-line)

SC VA ( On Line)
V.A: 1,2 a (on line)

SC VA ( On Line)

VA : 5(a,b)

Finding the Average Value of a Function [8]

Probability and

 I. Differential Calculus:  A. *Definition of the Derivative  Limits / Notation  Use to find the derivative  Interpretation ( slope/ velocity/marginal cost-profit-revenue )  B. The Calculus of Derivatives  * Sums, constants, x n, polynomials  *Product, Quotient, and Chain rules   *Trignometric functions  *Expononential and logarithmic 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 and quadratic approximation   Newton's method L'Hospital's Rule: "0/0"  "inf/inf" D. Theory  *Continuity (definition and implications)  *Extreme Value Theorem /* Intermediate Value Theorem  *Mean Value Theorem  II. Differential Equations:  A. Solving Differential Equations ( Initial Value problems) *Definitions and basic theorem  Simple properties [ sums, constants, polynomials, trig]  B. Euler's Method, etc.  *Euler's Method  *Simple differential equations with applications  Tangent (direction) fields/ Integral Curves  *Interpretations ( Net change)

OFFICE: Fowler 325                                    PHONE:  (323) 259- 2555
Hours (Tent.): M-F  11:30-12:30 AND BY APPOINTMENT or chance!
E-MAIL: flashman@oxy.edu              WWW:  http://www.humboldt.edu/~mef2/
***PREREQUISITES: The Calculus Readiness Exam and at least four years of high school mathematics.

• TEXTS: Required:
Calculus, 2/e Robert T. Smith, Millersville University Roland B. Minton, Roanoke College
Calculus
, CD, by Ed Burger-  Thinkwell Publishing.(ISBN 1931381992)
Excerpts from Sensible Calculus by M. Flashman as available on the web from Professor Flashman.
• Calculus: An Interactive Text
 (ISBN 007-239848-5) This browser-based electronic supplement provides access to the entire Calculus text in an interactive format. Features include over 200 text-specific JAVA applets and over 400 algorithmically-generated practice problems, designed to demonstrate key concepts and examples from the text. The electronic student solutions manual is integrated for full comprehension of exercises.
Note that with the purchase of your textbook, you have access to the Calculus Online Learning Center, which helps students learn calculus with automatically graded practice quizzes, additional explanations of difficult topics and guides for TI calculators.  Live tutorial assistance is also available.

Catalog Description:
• Calculus at Occidental:
Calculus differs in some respects from the traditional courses offered at some secondary schools and most other colleges or universities. Occidental’s program is based on scientific modeling, makes regular use of computers, and requires interpretation as well as computation. A variety of courses comprise this program, accommodating different levels of preparation. The core content is described below as Calculus 1 and 2. Actual courses suited to different levels of preparation are listed under each description.

• CALCULUS 1: SCIENTIFIC MODELING AND DIFFERENTIAL CALCULUS.

Many mathematical models in the natural and social sciences take the form of systems of differential equations. This introduction to the calculus is organized around the construction and analysis of these models, focusing on the mathematical questions they raise. Models are drawn from biology, economics, and physics. The important elementary functions of analysis arise as solutions of these models in special cases.

The mathematical theme of the course is local linearity. Topics include the definition of the derivative, rules for computing derivatives, Euler’s Method, Newton’s Method, Taylor polynomials, error analysis, optimization, and an introduction to the differential calculus of functions of two variables.

• SCOPE: This course will introduce the theory and application of what is often described as "differential calculus." These are contained primarily in Chapters TBA. Supplementary notes and text will be provided as appropriate on the web.
• \$\$ Algebra Review. Even though you have passed the Calculus Readiness Exam, you may find you could use a little help at times with some pre-calculus mathematics. I am available to give you help on this. I have also listed several on-line sites (besides that of our text) for help with a review of algebra. You may use these in conjunction with the course when your background needs help.We will do some review of key topics (lines and functions) during the first week of the course.
• \$\$ Try some preliminary problems on-line or the Backgrounds Check Quiz on Blackboard.
If you don't do well on the on-line backgrounds assessment quiz , see me soon!

• TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be 3 Gateway Examsmany on-line reality check quizzes, two midterm exams and a comprehensive final examination.
• Gateway Exams:  You must pass three Gateway exams with a score of 9/10.  These exams will test basic skills and concepts needed for the course, and can be taken as many times as needed (subject to target dates below, extension permission required after the target date).  One successful Gateway exam will count as one on-line quiz.
• Gateway Target Dates:
* Functions,  9/30
* Trigonometry 10/17
* Exponents & Logarithms 11/17 (changed 11/4)
• 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 Oxy Blackboard .
•  Homework assignments are made regularly. They should be done neatly.  Problems from the assignments will be discussed in class.
• Exams will be announced at least one week in advance.
• THE FINAL EXAMINATION WILL BE SELF SCHEDULED with at least two alternate offerings.
• 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! ***
• Using the CD Tutorials: Whenever a CD tutorial is assigned, that should be viewed by the due date of the assignment. As part of that assignment, you may be asked to respond to some relevant questions on  Blackboard  under the CD report title. These questions may be related to the solution of a specific problem, the development of a concept, or the organization of a technique as presented on the CD.  Each CD tutorial question will add 5 points to your CD Tutorial point total. CD Tutorial work will be used in determining the 50 course points.
• Partnership Activities: Every three 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 week (with some exceptions) partners will submit a response to the "problem/ lab 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 (labs) and summaries will be used to determine 100 points.
• The CD tutorial responses 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 CD Tutorials 50 points Cooperative work(Labs +) 100 points Final Examination 200/300 points Total 850/950 points
The total points available for the semester is 850 or 950.Notice that only 400 or 500 of these points are from examinations, so regular participation with reality quizzes and the CD tutorals 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.
In my experience students who are actively engaged in learning and participating regularly in a variety of activities will learn and understand more and retain more of what they learn. Each component of the course allows you a different way to interact with the material.

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

 October 26 (Wednesday) Last Day to Drop Courses October 26 (Wednesday) CR/NC Forms Due October 28 (Friday) Withdrawal Period Begins December 7 (Wednesday) Last Day to Withdraw From Class

• 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.
• 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. 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. 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 may 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.