Northeastern University
Mathematics Department


MATH 1140: Calculus 1

Winter 2002

Hours: MTTh: 2:50-3:55pm
Location: 308 Snell Enginerring; Key# 57065

Instructor: Stephen Lovett
Office: 535 Nightingale Hall (NI)
Office Hours: TBA
Phone: 373-2080
Email: slovett@lynx.neu.edu

Your computer's date must be accurate.
   

Required Text: Thomas's Calculus, Earlty Transcendentals
by Finney, Weir and Giordano


Course Objectives

This course has one all-encompassing goal: for us to understand the concept of the derivative and to be able to display that understanding through a variety of applications. We will begin the course with a brief review of exponential, trigonometric and logarithmic functions. Then we will introduce the derivative in two or three different ways and learn how to calculate derivatives (either directly or implicitly) for all possible functions that we are familiar with. Finally, the last third of the course focuses on how to apply the derivative to solve maximization and optimization problems.

Chap.TopicHomeworkComments
P.3Exponential Functions1-12,21,28,31,35 p.29 
P.4Inverse Functions and Logarithms1-8,12,13,29-33,43,46 p.41 
P.5Trigonometric Functions and Their Inverses1,2,5,10,13,19,21,23,24,31,43,44 p.55Challenge Problems
P.6Parametric Equations1-3,7,10,17,19,21-23 p.65Maple examples:
Functions
Parametric Curves
1.1Rates of Change and Limits1,2,5,7,10,14,19 p.95 
1.2-1.4Limits and Continuity2,6,9,14 p.108;   1,2,8,11,26,33,43 p.122;   1-5,26,28 p.132 
1.5Tangent Lines1,2,6,7,13,19,21,24,30,35,42 p.139 
2.1The Derivative as a Function1-3,6-8,13,15-18,24-26(read),33,387 p.157Challenge Problems
2.2The Derivative as a Rate of Change1-7(odd),13,18,22,25,26p.169 
2.3Derivatives of Products, Quotients, and Negative Powers1-5,7,11-13,19,21,29 p.178 
2.4Derivatives of Trigonometric Functions1-5,8,13,14,27,31,37,39 p.184 
2.5The CHain Rule1,6,9,11-13,116,21,22,26,27,37-45(odd),52,65 p.195 
2.8Derivatives of Inverse Trigonometric Functions1,3,4,6,8,11,20-22,32 p.221 
2.9Derivatives of Exponential and Logarithmic Functions2-8(even),11,15-21(odd),22,29,31,32,41,44,47,52 p.231 
2.6Implicit Differentiation1,2,7,13,15,18,20,27,37,43,61 p.201 
2.7Related Rates1-3,5,10,13,24,30,31 p.212 
3.2Differential Equations9,12,14,18,20,22,29,34 p.261 
3.1Extreme Values of Functions1-6,1-14,16-18,21,23,24,30,47,50,54 p.251 
3.3The Shape of a Graph6-8,13-19(odd),20,23,27,32,43,48,58,59 p.272 
3.5Modeling and Optimization1,7,14-16,22,32,41 p.295 


Course Policies

  1. Help and Tutoring: There are many resources for improving your Calculus skills. The best way is to come see me. Other resources: walk-in tutoring in 151 Cahners Hall (M,W 9:15am-8pm; T,Th 9:15am-4pm; F 9:15am-2pm) and from Engineering tutors in 222 Snell Engineering, tutoring by appointment (sign up in the Media Center in the library), and study aids in the library (Schaum's Outlines are great).
  2. Attendance: I do not keep attendance but the student is responsible for keeping up with any changes announced in class, whether or not he or she is present.
  3. Excused Absences: In order to take a make-up a late quiz or exam you must have talked to me first. For any other emergency situations, you will need to bring me valid documentation (from court, doctor,…) of your absence. Notes from family members are not acceptable.
  4. Tools 1: For those who like crib sheets, I've placed on the web a pdf file continaing the basic calculus rules. (calcrulz.pdf) You may use this as a help for homework and studying but you won't be allowed to use it during in-class quizzes or exams.
  5. Tools 2: If you want/need to learn Maple (a computer algebra system), you can find it on any NEU computer by going to NUNet/ Applications/ Statistical and Computational Packages/ Maple 6/ Maple 6. Furthermore, I've developed a Maple Tutorial which will help you understand the rudiments of how to use it.
  6. There will be weekly quizzes (no matter how much material is covered), a one-hour midterm and a two-hour cumulative departmental final. The final course grade will be calculated as follows:

     
    Homeworks           8%
    Weekly Quizzes26%
    Midterm Exam26%
    Final Exam40%
  7. Cheating: Those who choose to cheat should consult the appropriate section their Student Handbook or read the university's Academic Integrity Policy prior to doing so. In this class, collaborating on homeworks is not considered cheating but each person must turn in his or her own write-up. Furthermore, the use of an advanced calculator is not considered cheating but strongly encouraged.
  8. If you have any questions, please feel free to talk to me. If my office hours are not convenient for you, please contact me and we can find some other time to meet.