MATH 1401 - CALCULUS I
Instructor: Ryan Pedersen
Office: CU-Denver Building Room 652
Phone: 303-556-6265
Email Address: rpederse@math.cudenver.edu
Office Hours: Besides being available in the classroom before and after class, I will be in the Math Education Resource Center (Science Building Room 132) on:
Monday: 2:00 - 3:00 PM
Wednesday: 2:00 - 3:00 PM,
Friday: 10:00 AM 12:00 PM (Most Weeks in CU Building Room 652)
Other times (Tuesday, Thursday) can be arranged by appointment.
I will also be working in the MERC (Science Building 132) on Wednesdays from 9:00 AM 12:00 PM. These, however, are not official office hours as I will be working as a lab assistant.
Text: Calculus, Concepts and Contexts, (2nd Edition) by James Stewart
Note: The book is readable and has many good examples.
Course Content: Chapters 1-5
Prerequisites: It must be assumed that a certain competency of advanced algebra and trigonometry has been mastered.
Exam Schedule and Grading Policy:
Tests: Three tests, worth 100 points each, will be given plus a comprehensive final exam, counting 150 points. Attendance at the tests is mandatory. If you are going to be absent for an exam, arrangements must be made prior to the exam date or a 0 will be awarded for the exam. No arrangements can be made for the final exam, so clear your schedule for that day right now. (See Test Schedule on next page.)
Homework Assignments: Homework problems will be given over each section covered and a few of these problems will be collected each week that there is not a test. These 11 assignments will be graded and will be worth 25 points each, with the lowest 2 homework grades dropped at the end of the semester. Assignments are due each Monday, but if they are turned in before class begins on Wednesday there will be no penalty. However, for assignments turned after this time there will be a 5 point penalty. No assignments will be accepted after the beginning of class the following Tuesday. Please follow these guidelines in turning in homework assignments:
1. All assignments are to be done on engineering paper. Engineering paper can be purchased at the bookstore
2. Show all work neatly since messy papers may not be graded.
3. Include graphs where appropriate. The graphs can either be a sketch or a computer printout with important information identified.
4. Staple your papers together.
5. Make sure you do the assigned problems since no credit will be given for the work on an incorrect problem.
You are able to work together in doing homework assignments; however, copying someone's assignment will not be tolerated. If this occurs, all students involved will receive no credit on the assignment.
Calculus Application Project: One project will be assigned during the semester that will be an extension to the homework assignments. This project can be worked on and completed in pairs and will require the use of a graphing utility. You will have approximately a week to complete the problem and it will be counted 50 points.
Test Schedule: Exam #1 - Wednesday, 9/22
Exam #2 - Wednesday, 10/20
Exam #3 - Wednesday, 11/17
Final Exam - Saturday, 12/11 (9:00-12:00)
Points Summary:
Exams: 300 points
Final Exam: 150 points
Homework Assignments: 225 points (after dropping two)
Application Project: 50 points
-----------------------------------------------------------------------------------
Total: 725 points
Your final grade will be determined by the percentage of these points you have actually received.
A: 90% - 100%, A-: 88% - 89%, B+: 86% - 87%, B: 78% - 85%, B-: 76% - 77%,
C+: 74% - 75%, C: 64% - 73%, D: 51% - 63%, F: Below 50%
Other Important Dates:
§ September 2, Last day to add a class
§ September 9, Last day to drop with a refund
§ November 11, Last day to drop without a petition to your dean
§ November 12, Last day to drop a class for CLAS students.
§ December 11, 9:00 AM, Final Exam*
*Final Exam:
Attendance at the final exam is mandatory. Having the final rescheduled is extremely rare and is not permitted for reasons such as a plane ticket that was purchased earlier or attendance at weddings and so forth.
Incomplete Grades:
Incomplete grades (IW or IF) are not granted for low academic performance. TO be eligible for an incomplete grade, students must
1) Successfully complete 75% of the course,
2) Have special circumstances that preclude the student from attending class and completing graded assignments, and
3) Make arrangements to complete missing assignments with the original instructor.
Note that Incompletes are also only given when the student is in good academic standing (C or better) in the course.
Fall 2004 Registration Deadlines and Responsibilities for CLAS Students:
§ CLAS students must always have an accurate mailing and e-mail address: http://www.cudenver.edu/registrar
§ Students are responsible for completing financial arrangements with financial aid, family, scholarships, etc.
§ August 16 (5:00 PM) Payment Plan deadline for students registering by July 23 2004
§ August 26 Last day to be added to the wait-list for a closed course.
§ August 30 September 8 Students are responsible for verifying an accurate Fall 2004 registration via web SMART
§ September 2 (midnight) Last day to add courses via web SMART system.
§ September 6 Labor Day Holiday No Classes
§ September 8 (5:00 PM) Last day to add 16 week structured courses. Treated as an absolute deadline.
§ September 8 (5:00 PM) Last day to drop a course for full refund. Last date to select P/F grade option.
§ November 1 Last date to drop a Fall 2004 course without associate deans approval.
§ November 12 Last date to drop a Fall 2004 course for CLAS students. Treated as an absolute deadline.
§ November 21 November 27 Thanksgiving Holiday No Classes
§ December 11 - December 17 Final Exam Week!
Consult the Academic Calendar for details on registration/payment deadlines: http://www.cudenver.edu/registrar
Computing Technology: During the semester, we will explore calculus graphically, numerically, and algebraically. This course will utilize the TI-89/92 calculator, with graphics capability and a Computer Algebra System, to facilitate the study of calculus. Although this calculator is not a requirement, it will be used in class on a daily basis, and will help in the learning of calculus. All students are required to have a graphing calculator and to be able to use a Computer Algebra System, such as the TI-89/92, or the program DERIVE which is on the computers in the MERC lab. Every student must register for a computer lab section. Labs meet two hours a week in the Math Education Resource Center in Science 132. Attending the lab is optional but graduate students are assigned to give you any assistance needed. You can use the lab at other times, in addition to your scheduled time, based on availability. The best advice is to become familiar with a calculator (such as the TI-89) or DERIVE as soon as possible. It will be a worthwhile investment, not only for this course, but for all of your future work.
Frequently Asked Question: How much time should I be spending on my Calculus per week? A "full-time job" is considered to be 40 hours per week and a "full-time student" is considered to have a schedule of 15 hours per week. If you subtract 15 hours of class time from the 40 hours, that leaves 25 hours of studying per week. 4/15 of 25 is 6.7 hours of studying calculus, outside of class time, per week.
Cheating: Dont do it!! Cheating will not be tolerated, and could result in a course grade of F and possible expulsion from the University.
Final Comment: Please turn off all pagers and cell phones at the
beginning of class!
The following is a "tentative" schedule for the semester.
WEEK SECTIONS MATERIAL COVERED
8/23 2.1 - 2.3 Course Expectations, Tangent and Velocity Problems
Limit of a Function, Calculating Limits
8/30 2.4 - 2.6 Continuity, Limits at Infinity
Tangents, Velocities, and Other Rates of Change
9/6 2.7 - 2.10 Labor Day
The Derivative
Relationship between f' and f"
9/13 3.1 3.2 Derivatives of Polynomials and Exponential Functions
Product and Quotient Rules
9/20 3.3 - 3.4 Rates of Change and Derivatives of Trig Functions
Exam #1
9/27 3.5, 1.7 Chain Rule
Parametric Equations
10/4 3.5 3.6 Implicit Differentiation
Inverse Trig Functions and Their Derivatives
10/11 1.6, 3.7 Data Collection Activity (ILAP)
Review of Logarithmic Functions and their Properties
10/18 3.7-3.8 Derivatives of Logarithmic Functions,
Logarithmic Differentiation
Exam #2
10/25 3.8, 4.1 Linear Approximations and Differentials
Related Rates
11/1 4.2 4.5 Calculus and Graphs of Functions
Indeterminate Forms and L'Hospital's Rule
11/8 4.6, 4.9 Optimization Problems
Antiderivatives
11/15 5.1 Areas and Distances
Exam #3
11/22 Fall Break
11/29 5.2 5.4 Definite Integrals
Fundamental Theorem of Calculus
12/6 Substitution Rule
Course Review and Catch-up
12/11 Final Exam!
Review of Algebra/Trigonometry Concepts
In order to provide a rigorous course in Calculus, it must be assumed that every student has a good understanding of mathematical concepts covered in both College Algebra and College Trigonometry courses. To assure that this is the case, below are listed a few important topics that will NOT be covered in this class, however, they must be understood by every student to be successful this semester.
The chart below shows the topic, where it can be found in the text, examples which illustrate the topic, and practice problems which cover the material. The examples and problems that were selected will apply directly to your work in a calculus course. The problems will not be collected, but can serve as a good review for you if you have not passed The Accuplacer. The Accuplacer exam must be passed by Monday, August 30 or you will be automatically disenrolled from the course. Pass this exam as soon as possible. You have 2 chances to pass the exam, but cannot take the exam twice in a day, or on consecutive days.
Topic Section Page/Example Problems
Functions 1.1 Pg 17 Ex#6 Pg 98 #1,23,35
Pg 18 Ex #7
Graphs of Basic Functions
Worksheet-Review #8 on Worksheet
of Functions
Geometric Transformations 1.3 Pg 40 Ex #1, 2, 3 Pg 46 #1, 7, 13, 35 Pg 44 Ex #7
Inverse Functions 1.6 Pg 67 Ex #4 Pg 73 #23, 31
Pg 68 Ex #5
Coordinate Geometry Appendix B Pg A11 Ex #3 Pg A16 #13, 23, 37
Pg A12 Ex #5
Trigonometry Appendix C Pg A21 Ex #3 Pg A28 #11, 29, 41
Pg A23 Ex #6
Pg A26 Ex #7
Calculus I - Math 1401 Spring 2004
Practice Problems
The problems collected for homework are not sufficient in number for you as a student to become 100% proficient in Calculus. Although these problems will not be collected, it is strongly suggested that you do them in order to prepare you for the exams and to increase your proficiency in the course.
Section Problems
2.1 #1, 3, 5
2.2 Odd #1 - 11, 15
2.3 Odd #1, 9 - 21, 33
2.4 #3, 13, 15, 35, 41
2.5 Odd #3 - 7, 13 - 21, 31
2.6 Odd #1 - 9, 13, 15, 23
2.7 Odd #3 - 7, 19 - 23
2.8 Odd #3 - 11, 19 - 25, 31, 35
2.10 Odd #1 - 5, 11, 15 - 19, 25, 27
3.1 Odd #3 - 21, 29 - 33, 41, 45, 47
3.2 Odd #1 - 7, 11 - 15, 19, 23, 27, 29
3.3 #1, 3, 7, 23
3.4 Odd #1 - 9, 17, 19, 23, 25
3.5 Odd #11 - 25, 31, 35, 49, 65, 67
1.7 Odd #1, 5 - 9, 15
3.6 #1, 3, 9, 15, 25 - 33
1.6 Odd #35 - 39, 45, 49, 51, 57
3.7 Odd #3 - 13, 19, 29 - 37
3.8 Odd #1 - 9, 17, 19
4.1 Odd #1 - 9, 13, 21, 23
4.2 Odd #1 - 5, 25 - 29, 37, 41, 43
4.3 Odd #1, 3, 7 - 11, Worksheet on Curve Sketching
4.5 Every Other Odd #3 - 35
4.6 Odd #1 - 9, 13, 19
4.9 Odd #1 - 13, 21, 23, 27, 35, 37
5.1 #1, 5, 13, 15
5.2 Odd #3, 17, 19, 27 - 39
5.3 Odd #9 - 21
5.4 Odd #3 - 9
5.5 Odd #7 - 13, 19 - 23, 37 43