MATH 1401 Calculus I (Spring 2003)


Mon. and Wed. 3:00-4:50 pm; Si 220

(Tentative Instructor);  Lynn S. Bennethum Office: CU 638, Phone  (303) 556-4810
Office hours: Mon. and Wed. 2-3 pm in Sci 132
                        Tues. 2:00-3:00 in CU 638, or by appointment.
        Office hours of other Calc I Instructors:   T Th 12:50-1:50  Dustin Stewart   SI 132
                                                                              T Th  12:00-1:00  Carey Jenkins
                                                                                T Th 4:30-5, 6:50-8  Tony Russo
                                                                               M W 11:00-noon   Jeff Matsuo

e-mail: Lynn.Bennethum@cudenver.edu
web page: http://www-math.cudenver.edu/~bennethm
fax: (303) 556-8550
home phone: (303) 683-6983 (Please call after 9am and before 9:30pm - I generally work at home on Fridays).

Textbook:  Calculus, Concepts and Contexts, second edition, by James Stewart.  Brooks/Cole, ISBN 0-534-37718-1

Prerequisite: Intermediate Algebra, College Trigonometry

Grading: Your permanent instructor will decide on the distribution.  But it will likely look as follows:
 

Homework: 150pts
ILAP project :  60 pts
2 Exams (120 pts each) 240pts
Final: 150 pts
Total: 600 pts

The maximum amount of homework points you get in class will not be 150 points, so your homework score used for calculating the final grade will be scaled so that the maximum amount of points which can be earned on homework will be 150 points. Each test and the final exam will be curved. For example, suppose on test 1 you receive 84 points out of a possible 120 and the curve is such that 75-90 is a C. Then your test grade will be recorded as
                                      x = (84-75)*(80-70)/(90-75) + 70 = 76.

Your final grade will be determined on a straight scale (divide your total number of points by 600 and multiply by 100):

90-91.5%     A- 91.6-98%     A 98.1-100%      A+
80-81.5%     B- 81.6-88%     B 88.1-89.9%     B+
70-71.5%     C- 71.6-78%     C 78.1-79.9%     C+
60-61.5%     D- 61.6-68%     D 68.1-69.9%     D+
The homework score and computer projects will not be curved.  There is one exception to this: your homework and ILAP project cannot affect your grade by more than one letter grade.  Thus, if you fail the midterm and final, the highest grade you can get in the class is a D, even if you get an A on your homework and the computer project.

Homework:
     Homework will be assigned weekly, and will be due at the beginning of class the following week. I believe doing homework is vital to learning the material in this class.  You should expect to spend between 5 and 12 hours/ week on the homework.  However you should spend your time wisely.  If you find yourself working on one problem for more than 10 minutes without progressing, then move on to another problem - often doing other problems will clarify something which you needed to do for the original problem.   If you are getting stuck on all the problems, then it is time to talk with a classmate (working together is encouraged!) or to come see me.
     I will grade 4-6 problems from each homework set and you will get additional points for attempting every problem. Each homework will be worth 30 points. I will accept late homework, but with a penalty. For every class period it is late I will deduct 10 pts, e.g. if it is turned in any time from directly after that class has started through the following class period, 10 points will be deducted from the total score; if it is turned in 2 class periods late, 20 points will be deducted, etc. If you think I have made a mistake in grading a problem (not unheard of!), then you need to tell me within a week after the homework is returned. A list of all assignments will be kept on my homepage. A solution key to the graded problems will be available in a notebook in SCI 130. The lowest homework grade (for each 8-week session) will be dropped.

Prerequisite Quiz:
      During the second week of class you will be given a 30 minute quiz which will cover material you should have seen in a previous course which is considered vital pre-requisite material for this course.  It is expected that you will be a bit rusty on some of the material.  So on the first day of class you will be provided with a review packet which will give you a brief review of the material and practice problems.  The Pre-Quiz will be worth two homework grades.  If you do not do well on the pre-test, then it will hurt your homework grade and it is a good indication that you will need to spend more than the 5-12 hours/week on this class to do well.  The quiz must be taken during your scheduled 1999 MERC lab hour.

Midterm and Final:  There will be two in-class exams and a final.   The uniform final exam is scheduled on Sat. May 10, 9:00-noon, and will be cumulative.   No technology or cheat sheets of any kind will be allowed.

ILAP Project:  There will be one ILAP (Interdisciplinary Lively Application Project) due in this class.  The project will consist of performing an in-class experiment, mathematically modeling it, and writing up a report.   You may work in a group, however you must turn in your own work and report.

Technology: This class requires the use of technology.  Most people use a TI-89 or DERIVE (available in the MERC lab, Si 130-132).  Other calculators and software may be used, but please check with me to be sure that it will be able to do what is required for this course.  The lab TA's in MERC are able to help you with DERIVE, and most know how to use the TI-89.  There is no guarantee of any support for other software/calculators.  You must be able to print out your results. The MERC lab has the hardware to be able to print from a TI-89.

YOU ARE REQUIRED TO REGISTER FOR MATH 1999 TO RECEIVE CREDIT FOR THIS CLASS. This is a mandatory mathematics policy. The labs carry 0 hours of credit since the math dept. views the time as a part of the homework-study time students should apply to a course. There is a fee for this course. You are not required to attend labs every week, but it can't hurt. By registering for a lab, you are reserved a computer for that time period, which is especially useful if you have a project due soon. If you need extra time in the lab, drop by and claim any unused stations. The lab is reserved several times a week for a class called MATH 1350 and it isn't possible to use the computers during these times. The MERC lab is open this semester during the following hours: MW 9-11am and 1-8pm, TR 9am-2pm and 4-8pm, Fri 9am-2:30pm, and Sat 10:45am-2:15pm.  (Note: Math Education Resource Center (MERC) phone: 556-8532).

Free On-Line Tutoring:  The three campuses of Univ. of Colorado (Boulder, Colorado Springs, and Denver) have combined resources to offer free on-line tutoring.  It is primarily designed for Calc 2 and lower, but many of the tutors are qualified to answer questions from Calc 3.  You will need administrative privileges to download a small application which allows you to type in mathematical symbols.  The web address is:  http://onlinetutor.cu.edu.  It works on Netscape and Internet Explorer and is staffed from 5-10pm Sun-Thurs and weekends (hours are on the web site).  You may want to just login the first time during the first week to check it out.

Make Up Tests: I do not plan to give any make-up tests. If you must miss a test, please contact me BEFOREHAND, as I will tend to be more lenient. However, if I am approached after the fact, I will expect some ``hard'' evidence (i.e. doctor's excuse, death certificate...) Whatever the circumstance, please get in touch with me.

Cheating: Cheating of any kind will result in a grade of F and possible expulsion from the university. It isn't worth it, so don't do it.

Final Exam:  The uniform final for Calc I will be on Sat. May 10th.  Having the final re-scheduled is extremely rare and is not permitted for reasons such as plane tickets purchased early and attendance at weddings. Plan accordingly!

Important Dates:
Jan 30: To add Calc I after this day, students need instructor's and dean's signature.
Feb. 5:  Last day to drop this course with full tuition reimbursement.
March 24-29th : Spring break. No classes.
March 31:  Last day to drop or withdraw Calc I without a petition and special approval from the dean.
Sat. May 10 : Final exam scheduled from 9AM-noon.
 

Tentative Schedule:
 
 
Week
Sections 
Material Covered
Jan. 21 Ch 1,
2.1
Review
Tangent and velocity
Jan. 27 Test on Pre-requisite material
2.2 
2.3
2.4
During your scheduled lab time
Limits
Calculating Limits
Continuity
Feb. 3 2.5
2.6
Limits involving infinity
Rates of change
Feb. 10 2.7
2.8
2.9
Derivatives (formal definition)
Deriviative as a function
Linear approximations
Feb. 17 2.10
3.1
f and f'
Derivatives of polynomials and exponential f'ns
Feb. 24 Review
Exam 1

Exam through Section 2.10
March 3 3.2
3.3
3.4
Product and quotient rule
Applications
Deriv. of trigonometric functions
March 10 3.5
3.6
Chain rule
Implicit Differentiation
March 17 ILAP activity
3.7

Deriv. of logarithmic function
March 24
Spring Break
March 31 3.8
4.1
Linear Approximations
Related Rates
April 7 4.2
4.3
4.4
Maximum and Minimum Values
Derivatives and the Shapes of Curves
Using calculators (review)
April 14 4.5
Exam 2
Indeterminate forms and l'Hospital's rule
 Through Section 4.3
April 21 4.6
4.9, 5.1
Optimization problems
Antiderivatives, area
April 28 5.2, 5.3
5.4
Definite integral
Fundamental Thm of Calculus
May 5 5.5 Integration by Substitution
Review and catch-up
Saturday May 10   Uniform Final Examination