MTH U241 Syllabus

Fall, 2008

Text: Calculus, Concepts and Contexts, 3^rd Ed. by James Stewart
(Note: the bookstore has a special edition prepared especially for Northeastern; it is in two volumes – we will be using volume 1 for U241 and U242.)
Instructor: Maxim Braverman
Course HomePage:  http://www.math.neu.edu/~braverman/teaching.html
Office hours:  MWTh 11:40-12:40 or by appointment.

Grading: Final 40%, weekly quizzes 60%.
Scope of the course: This course will begin with a brief review/discussion of some of the ways mathematical functions are used to model the real world. It then will cover the standard topics of calculus I: limits and derivatives, the calculation of derivatives, applications of differentiation to solving the kinds of problems encountered in science and engineering, and an introduction to integration. This is not a theoretical course, but some proofs and mathematical reasoning will be introduced when they are required for better understanding.
Homework: You are expected to try all of the homework problems assigned for each topic. You are responsible for knowing how to do problems from any topic assigned in the homework and reviewed in class (even if the particular problem was not reviewed in class).
Attendance: You are expected to attend class, and are responsible for all topics covered in class, and all announcements made in class. You are also responsible for all in-class tests; your instructor will announce policies regarding exams missed for medical reasons. Instructors are not required to give make-up exams.
Final Exam: There will be a common final for all sections of this course. Department regulations require that the final count for 40% of your course grade. All students are required to take the final on the day it is given. Exam conflicts must be resolved in advance with the Registrar’s Office and your instructor. Do not make advance travel arrangements for any dates during finals week.
Calculators: You will be expected to own a graphing calculator and be reasonably proficient in its use.
Computers: You are not required to own a computer. Some instructors may assign problems using mathematical software available in all the computer labs at Northeastern (e.g. Maple, Matlab, or the Function Visualizer); you will be given detailed instructions on this software if it is to be used.
Miscellaneous: If there is an issue you would like to discuss, it is a good idea to start by discussing it with your instructor. If this does not help, please see the Undergraduate Coordinator Professor A. Martsinkovsky (471 LA, x. 5510).  
 

TOPICS AND ASSIGNMENTS 
 
Chapter 1: Functions and Models
      1.1 Representing Functions, p. 22: 1,2,10,23,25,27,43-45,47,57,58,64
      1.4 Graphing Calculators, p. 54: 2, 6-10, 15,18,29  - For independent review, will not be discussed in class
      1.7 Parametric Curves, p. 79: 1,5-7,9-12,16,20,21,25,29,30

Chapter 2: Limits and Derivatives
      2.2 Limit of a Function, p. 106: 1,3,4,16,17
      2.3 Calculating Limits Using Limit Laws, p. 115: 1,3,6,7,16,17,18,43
      2.6 Velocities and Rates of Change, p. 145: 2,7,8,10,11,13,16
      2.7 Derivatives, p. 153: 3-7,15,19-22,29
      2.8 Derivative as a Function, p. 165: 2-7,9,12,32,37,39
      2.9 What f’ Says About f, p. 172: 1-3,8,10,15,18,21,23,25,26

Chapter 3: Differentiation Rules
      3.1 Polynomials & Exp. Functions, p. 190: 3-25(odds),32,37,38,41,50,57
      3.2  Product & Quotient Rules, p. 198: 3,6,7,10,11,23,29,31,32,38,46(a)
      3.3 Rates of Change, p. 210: 1,3,8,11,14,15,24,33
      3.4 Trig. Functions, p. 218: 1,3,4,7,8,19,23,26,29,35,37
      3.5 The Chain Rule, p. 228: 1-29(odds),41-43,47,60,65
      3.6 Implicit Differentiation, p. 238: 7,11,13,14,17,29,31,36,41,43,44,55
      3.7 Log Functions, p. 245: 3-13(odds),14,24,29-32
      3.8 Linear Approx., p. 252: 1,2,5,9,28-30,34

Chapter 4: Applications of Differentiation
      4.1 Related Rates, p. 267: 8,9,11,14,18,27,30,33
      4.2 Maxima & Minima, p. 274: 4,9,23,24,29,32,37-43(odds)
      4.3 Derivatives & Curves, p. 286: 6,7,11,17,21,24,25,29,30,37,48
      4.4 Graphing with Calculus & Calculator, p. 295: 1,3,8,11,20,21
      4.6 Optimization Applications, p. 311: 3,4,10,12,16,22,38
      4.8 Newton’s Method, p. 325: 4,8,11,15
      4.9 Antiderivatives, p. 332: 1,7,12,21,29,33,34,40,46,48,55  

Chapter 5: Integrals
      5.1 Areas & Distances, p. 352: 3,4,18,
      5.2 The Definite Integral, p. 364: 2,11,17,18,21,27,31,35,40,43,44,49,50
      5.3 Evaluating Def. Integrals, p. 374 3,6,11,14,17,20,27,29,38,45,48,53,55,57,59
      5.4 The Fundamental Theorem of Calculus, p. 383: 2,5,8,9,17,22
      5.5 Substitution Rule, p. 392: 1-13(odds),18,21,24,30,31,33,45,47,53 

Sept. 26: last day to drop a course without a W grade
Nov. 21: last day to drop a course with a W grade

Final exam: Thursday Dec. 18, 10:30–12:30.