NJIT HONOR CODE

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor Code very seriously and enforces it strictly.  This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the Honor Code, students are obligated to report any such activities to the Instructor.

 

Mathematics 111-001

CALCULUS I

Fall 2006

 

Course Schedule Link

¥   Instructor:  Prof. Miura

¥   Textbook:  Calculus: Early Transcendentals, 5e by James Stewart Pub: Thomson, Brooks/Coles, Belmont, California © 2003, ISBN:  0-534-39321-7

¥   Grading Policy:  The final grade in this course will be determined as follows:

ª     Homework + Quizzes:

 

17%

ª     3 Common Exams:

 

17% each

ª     Final Exam:

 

32%

 

Your final letter grade will be based on the following tentative curve distribution:

 

A

87-100

 

 

 

 

C

60-66

B+

81-86

D

57-59

B

74-80

F

0-56

C+

67-73

 

 

 

This curve may be adjusted slightly at the end of the semester. Also note that the University Drop Date November 6, 2006 deadline will be strictly enforced.

 

¥   Homework & Quiz Policy:  Calculus is learned by solving problems. It is therefore vital that you complete and turn in all the homework assignments on time. The homework assignments will be reviewed and returned to you. You can find the list of the required homework exercises for each lecture in the Course Outline section. You should also feel free to pursue other problems that are not contained in this set. Homework problems are due and will be collected at the beginning of the next lecture.

A short quiz based on the previous lecture’s homework problems will be given during each lecture. In addition, weekly quizzes will be given during the recitation sessions.  All of the quizzes will be graded and returned to you.  The homework and quizzes are intended to develop your problem-solving skills and to prepare you for the exams.  The homework and quiz grades will be a component of your course grade.

¥   Attendance:  Math 111 meets four times a week; there are three lectures and one recitation hour. Recitation classes provide an additional opportunity for you to seek help with homework and concepts taught in class. Attendance at all classes (both lecture and recitation) is mandatory and will be recorded. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.  NOTE: After three absences from class and/or the recitation hour, your name will be submitted to the Dean of Students with a request to have you withdrawn from the course. Tardiness to class and/or recitation hour counts as a half absence.

¥   MATLAB:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software in order to visualize many of the concepts taught in class.  MATLAB assignments will be graded and counted as a quiz.

¥   Exams:  All sections of Math 111 will take three common midterm exams during the semester and one common final exam during the final exam week. Midterm exams are held on Wednesdays on the following days:

 

Exam 1:

September 27, 2006

Exam 2:

October 25, 2006

Exam 3:

November 29, 2006

 

The time of the midterm exams is 4:15-5:40 pm for daytime students and 5:45-7:10 pm for evening students. The final exam will test your knowledge of all the course material taught in the entire course. The final exam will be scheduled during the exam period. Make sure you read and fully understand the department's Examination Policy.  This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.

¥   Further Assistance:  For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the Math Learning Center.

 

CLASS POLICIES

Attendance and Participation:  Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.

 

Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the office of the Department of Mathematical Sciences and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.

 

Electronic Devices:  All cellular phones, beepers, and other electronic devices must be switched off at all times during classes, recitation hours, and exams.

 

Course Outline and Homework Assignments:

 

Section & Topic

Homework Assignments: 

Week 1  (9/4 - 9/8)

Read A Preview of Calculus and Chapter 1, except Section 1.4

1.1:

Four Ways to Represent a Function

1

p.22:

2,3,5,6,9,15,22,24,26,31,33,34,51

1.2:

Mathematical Models: A Catalog of Essential Functions

p.35:

1,2,4,11,13,15

1.3:

New Functions from Old Functions

2

p.46:

2,4,6,8,10,12,13,15,16,23,29,32,
35,36,46

1.5:

Exponential Functions

p.62:

2,7,8,9,10,13,15,20,25

1.6:

Inverse Functions and Logarithms

3

p.74:

1,3,6,9,10,17,18,21,23,24,27,34,35,
37,40,41,47,49,50,63,65

Week 2  (9/11 - 9/15)

2.2:

The Limit of a Function

4

p.102:

4,8,10,12,13,15,20,24,26,30,32

2.3:

Calculating limits Using Limit Laws

5

p.111:

1,2,4,5,8,11,13,16,19,22,25,37,40

2.5:

Continuity

6

p.133:

3,6,7,10,11,13,14,15,17,21,23,31,
32,35,38,42

Week 3  (9/18 - 9/22)

2.6:

Limits at Infinity; Horizontal Asymptotes

7

p.146:

3,6,11,12,14,15,17,20,23,26,27,37,
40

2.7:

Tangents, Velocities, and Other Rates of Change

8

p.155:

2,3,5,7,8,9,11,16,18,20,21,22,27,28

2.8:

Derivatives

9

p.163:

3,4,6,7,9,13,14,16,19,21,23,25,29

Week 4  (9/25 - 9/29)

ª      

REVIEW FOR EXAM I ~ 9/27/06

10

ª      

Study for EXAM I

2.9:

The Derivative as a Function

11

p.173:

1,4,5,8,14,22,23,25,27,30,35,41

¥ COMMON EXAM I:  September 27, 2006 ¥

ª      

GO OVER EXAM I

 

 

 

3.1:

Derivatives of Polynomials and Exponential Functions

12

p.191:

3,5,6,8,9,10,13,16,17,22,23,27,33,
39,45,51,53

Week 5  (10/2 - 10/6)

3.2:

The Product and Quotient Rules

13

p.197:

1,3,5,6,8,9,12,13,16,18,19,21,25,
31

3.3:

Rates of Change in Natural & Social Sciences

14

p.208:

1,5,8,10,13,15,18,20,26,27,29

3.4:

Derivatives of Trigonometric Functions

15

p.216:

1,2,3,5,6,8,9,10,12,13,14,21,29,31,
35,36,38

Week 6  (10/9 - 10/13)

ª      

MATLAB 1

 

ª      

DUE ON 10/19/06

3.5:

The Chain Rule

16

p.224:

1,2,3,4,6,8,9,11,13,18,21,23,24,28,
34,38,43

3.5:

The Chain Rule (cont.)

17

p.225:

51,53,54,63,64

3.7

Higher Derivatives

p.240:

1,3,5,6,8,9,11,14,16,20,23,29,35,
36,43,48

3.6:

Implicit Differentiation

18

p.233:

1,4,5,8,10,11,12,15,19,21,24,25,26,
41,43,55,69

Week 7  (10/16 - 10/20)

3.8:

Derivatives of Logarithmic Functions

19

p.249:

2,4,5,7,10,11,13,14,21,31,35,39

3.9:

Hyperbolic Functions

20

p.254:

1,3,4,15,30,32,33,34 and MATLAB 1 is due

3.10:

Related Rates

21

p.260:

1,2,5,6,8,10,11,12,13,16,17,19

Week 8  (10/23 - 10/27)

ª      

REVIEW FOR EXAM II ~ 10/25/06

22

ª      

Study for EXAM II

3.10:

Related Rates (cont.)

23

p.261:

21,22,23,24,26,31,32,33

¥ COMMON EXAM II:  October 25, 2006 ¥

ª      

GO OVER EXAM II

 

 

 

3.11:

Linear Approximations & Differentials

24

p.267:

2,5,6,7,8,15,16,18,21,23,24,28,30,
33,35

Week 9  (10/30 - 11/3)

4.1:

Maximum and Minimum Values

25

p.286:

3,6,7,15,18,19,23,25,29,32,34,37,
40,47,50,53

4.2:

The Mean Value Theorem

26

p.295:

1,2,3,4,5,7,8,11,12,15,16,17,18

4.3:

How Derivatives Affect the Shape of a Graph

27

p.304:

1,3,5,9,12,14,15,17,21,22,26

Week 10  (11/6 - 11/10)

ª      

NOVEMBER 6, 2006:  LAST DAY TO WITHDRAW FROM THIS COURSE

4.3:

How Derivatives Affect the Shape of a Graph (cont.)

28

p.305:

32,33,35,38,40,43,47

4.4:

Indeterminate Forms and L'Hospital's Rule

29

p.313
-314
:

2,5,6,8,9,11,'13,16,17,19,24,25,26

4.4:

Indeterminate Forms and L'Hospital's Rule (cont.)

30

p.314:

29,31,33,35,41,45,48,51,53,54,57,
61,62

Week 11  (11/13 - 11/17)

4.5:

Summary of Curve Sketching

31

p.323:

2,5,6,9,12,14,19,23,29,37,49

4.7:

Optimization Problems

32

p.336:

2,5,8,10,12,15,19

4.7:

Optimization Problems (cont.)

33

p.336:

22,26,33,40,55,60

Week 12  (11/20 - 11/24)

ª      

ª      

November 21, 2006:  Classes follow a Thursday schedule

November 22, 2006: Classes follow a Friday schedule

4.9:

Newton's Method

34

p.351:

1,5,6,8,11,12,14,17,20,21,22

4.10:

Antiderivatives

35

p.358:

2,3,6,8,11,12,17,19;21,22,25,28,
30,47

 

THANKSGIVING RECESS

 

 

 

Week 13  (11/27 - 12/1)

ª      

REVIEW FOR EXAM III ~ 11/29/06

36

ª      

Study for EXAM III

5.1:

Areas and Distances

37

p.378:

1,3,4,11,15,17,18,19,21

¥ COMMON EXAM III:  November 29, 2006 ¥

ª      

GO OVER EXAM III

 

 

 

5.2:

The Definite Integral

38

p.390:

1,3,5,8,9,17,18,23,25,33,35,36,39,
50

Week 14  (12/4 - 12/8)

5.3:

Fundamental Theorem of Calculus

39

p.402:

5,8,11,13,17,21,24,26,28,31,37,38,
48,49

ª      

MATLAB 2

 

ª      

DUE ON 12/12/06

5.4:

Indefinite Integrals and the Net Change Theorem

40

p.411:

2,5,7,9,10,12,17,19,26,29,31,33,35,
39

5.5:

The Substitution Rule

41

p.420:

3,4,6,7,13,16,19,21,26,28,35,49,50,
56,57

Week 15  (12/11 - 12/13)

ª      

REVIEW FOR FINAL EXAM

 

ª      

ª      

MATLAB 2 is due

Study for FINAL

Final Exam Week  (12/15 - 12/21)

FINAL EXAM WEEK:  DECEMBER 15-21, 2006

 

 

Prepared By:  Prof. Robert Miura

Last revised:  August 1, 2006
U: 9.15.06; 10.10.06; 12.05.06