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Syllabus for Math 170 C

Calculus I, Fall 1998, Moravian College.

Professor: Tom Linton, email: lintont@central.edu
Office Hours: 2-3 PM Monday and Tuesday, 9-10 AM Wednesday, 11 AM to Noon Thursday, or by appointment.
Class Meets: 10:20 to 11:10 AM on Monday, Tuesday, Wednesday and Friday, in Comenius 218.
Text: Calculus Concepts and Contexts, by James Stewart.
Technology: A graphing calculator is required and the TI-83 is highly recommended. Students with different graphing calculators bear the responsibility of making it emulate a TI-83. The software program Maple will be used on occasion. No prior knowledge of calculator use nor Maple is assumed. Calculators are allowed on exams, except the Gateway.

Overview: The first 4 and 1/2 chapters of the text

Calculus is the study of change; how variations in one quantity relate to changes in another. These relationships are abundant in the daily lives of most individuals today. As such, understanding calculus will help you better understand the interactions of the world around you. The major players of first semester calculus include functions, the notion of limits and derivatives, which can be viewed as instantaneous rates of change. The course will begin with a review and introduction to functions from several viewpoints. Most functions today do NOT come packaged in terms of formulas, like f(x) = x2, and chapter 1 considers functions given by formulas, graphs, numerical data and by verbal descriptions. Chapter 2 introduces the concept of limit and the notion of differentiation. The third chapter explores symbolic differentiation, finding a formula for the derivative of a function which happens to be expressed algebraically. These rules of differentiation are now performed by a variety of machines and software packages. Applications of differentiation and what a derivative tells you about a function are covered in chapter 4. The process of integration (anti or un-differentiation) is introduced in the first part of chapter 5.

Grades:

Exams 2 midterm exams (Oct 2 and Nov 6), 100 points each, one Gateway exam (see below) and a cumulative 150 point final exam.
Projects 2 extensive group projects worth 75 points each, distributed roughly Sept 11 and Nov 9.
Quizzes Approximately one every week and a half, worth a total near 100 points.
Homework and
Class Activities		 Collected-Evaluated regularly and worth about 100 points.
The Gateway exam will cover symbolic manipulation skills. You can attempt it several times and will score 100, 95, 90 or zero points (all scores below 90 count as zero). It will consist of 10 relatively straightforward drill exercises, which you should be able to do perfectly "by hand".

Late assignments:

Late homework, labs, and class activities will be penalized by 10% each lecture they are late. I am fairly flexible about giving exams at alternate times, BUT you should definitely warn me before the exam is missed, and plan on taking it early rather than late. Quizzes missed due to absences can NOT be made up. You are responsible for all of the material covered in class each day, even if you are not present. Plagiarism, or copying answers from other people or books without citing the source is a serious offense and will result in no credit for the work.  It is OK to discuss your answers with other groups on group assignments, but  the work you turn in must be your own.

Schedule:

 
WEEK DATES SECTION(S) ASSIGNMENTS
   1 9-1 to 4 Apdx A,B,C 
and 1.1, 1.2		 1.1 #2,4,10,17,21,33,51,58 
1.2 #3,5 to 8,17,20,33,40,45 piecewise activity
   2 9-8 to 11 1.3 and 1.4 1.3 #4,18,21,23,25 1.4 #2,5,13,21,32 
1.5 #1,11,13,16,18,20,24 exponential activity
Quiz 1,  1st Project handed out
   3 9-14 to 18 1.5 1.6 #3,7,10,13,17,2034,38,51,58 
1.7 #1,4,5 Quiz 2, curve fit activity
   4 9-21 to 25 1.6 and 1.7 2.1 # 2,4,5,8,9 
2.2 # 1,2,6,7,11,14,19,20
   5 9-28 to 10-2 2.1 to 2.2 Project 1 due 9/30 
Exam 1 practice guide  (Solutions).
   6 10-5 to 9 2.3 to 2.4 Exam 1 10/5 2.3 # 1,2,3,10,13,18,27 
2.4 # 1,2,4,8,29 
2.5 # 1,2,4,6,10,18,34,44
   7 10-12 to 14 2.5 Fall Break 2.6 # 1 to 5,7,13,14,19,22 
2.7 # 2,3,10,12,16,18,19,26,30
   8 10-19 to 23 2.6 to 2.8 2.8 # 1,2,3,7,12,15,21,28,35 
Quiz 3
   9 10-26 to30 2.9, 2.10 2.10 # 1,2,3,5,6,7,10,12,17
  10 11-2 to 6 3.1 3.1 # 3,4,6,9,10,13,14,18,19,24,26,32,
         33,36,39,41,42,43,46,53,57
  11 11-9 to 13 3.2, 3.3 3.2 # 1,4,6,8,15,16,21,25,26,27,29,32,33
Project 2  graphical derivative activity
  12 11-16 to 20 3.4 to 3.5 3.3 # 2,5,8,16,21,22,23 implicit diff activity
3.4 # 3,4,9,14,22,25,29
3.5 # 4,5,6,7,11,14,19,30,36,37,40,60
  13 11-23 to 25 3.6 to 3.7 3.6 # 2,3,10,13 Gateway exams begin. 
Quiz 4  3.7 # 2,4,10,15,23,24,29 
Exam 2 (practice answers)
  14 11-30 to 12-4 4.2, 4.6
4.3, 4.4
4.5		 4.2 # 3,5,7,17,18,23,26,30,35,36,39,41,45,48,50
4.6 # 1,6,8,13,14,15
Project 2 due
  15 12-7 to 12-11 5.1 and 5.2

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