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MATH 111H Course Syllabus

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 that 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.

 

Math 111-H01:  Honors Calculus I

FALL 2009

 

Instructor:  Prof. Rotstein   

Textbook:  Thomas’ Calculus Early Transcendentals, 11e Media Upgrade (Bundled w/ P1&P2 Sol Mnl & MML Sak), by Thomas, Weir, Hass & Giordano. Pub: Addison-Wesley, Pearson Education, Inc. © 2008. ISBN-13: 9780321518941; ISBN-10: 0321518942. 

Prerequisites:  Admission to this course is by invitation, based on standardized entrance exams.

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

▪ Classwork/Participation, Matlab Projects, Homework, Quizzes:

19%

▪ Common Midterm Exam I, II & III:

17% each

▪ Final Exam:

30%


All examinations are cumulative. Your final letter grade will be based on the following tentative curve. NOTE:  This course needs to be passed with a grade of B or better in order to proceed to Math 112H.

A

90-100

C

60-69

B+

85-89

D

50-59

B

80-84

F

0-49

C+

70-74

 

 


 

Drop Date:  Please note that the University Drop Date November 2, 2009 deadline will be strictly enforced.

Homework Policy:  It is therefore vital that you complete all of the homework assignments by the specified dates. The homework assignments are in the syllabus and online. In order to do the assignments you need to have a student access code. You can get an access code with a new book purchase that is bundled with My MathLab or by buying the code separately at the campus bookstore. If you buy a new book from another source make sure it is bundled with My MathLab. In addition on the first day of class your course instructor will give you an additional code needed to access the homework assignments.

Quiz Policy:  A short quiz based on the homework and classwork problems will be given approximately weekly.

How to get started with MyMathLab:

▪       http://m.njit.edu/Undergraduate/UG-Files/MML_GettingStarted.pdf

▪       http://m.njit.edu/Undergraduate/UG-Files/NJIT-MML-studentregistration.pdf

Attendance:  Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

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.

Exams:  There will be three common midterm exams during the semester and one comprehensive final exam during the final exam week. Exams are held on the following days:

Exam 1:

September 30, 2009

Exam 2:

October 28, 2009

Exam 3:

December 2, 2009

Final Exam Week:

December 11-17, 2009


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. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that electronic devices (such as calculators, cell phones, CD players, etc.) are not allowed during any exam.

Makeup Exam Policy:   There will be No make-up quizzes or EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

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.

Cellular Phones:  All cellular phones and beepers must be switched off during all class times.

 

MATH DEPARTMENT CLASS POLICIES LINK 

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

September 7, 2009

 M

Labor Day Holiday ~ University Closed

November 2, 2009

 M

Last Day to Withdraw from this course

November 24, 2009

 T

Classes follow a Thursday Schedule

November 25, 2009

 W

Classes follow a Friday Schedule

November 26-29, 2009

 R-Su

Thanksgiving Recess ~ University Closed


 

Course Outline and Homework Assignments:

 

 

In the homework listed below:

  • problems in italic are to be done online

  • problems in regular type are to be handed in

  • problems in bold type will be done in groups, during class or recitation - other problems may also be performed in groups during class or recitation if time permits

 

 

Week
Dates

Section & Topic

 Lec

Pg.

Homework Assignments

 

Week 1
8/31 – 9/4

 

 

2.1:

Mathematical Induction

Calculus Preview

Rates of Change and Limits

1

2

3

 

 

p.75:

To Be Assigned in class

To Be Assigned in class

1,3,12a,12c,15a,15c,17a,21, 27,29,33,37

Week 2
9/7 – 9/11

2.2:

2.3:

2.4:

Calculating Limits Using Limit Laws

Precise Definition of a Limit

One-sided Limits and Limits at Infinity

4

5

6

p.83:

p.92:

p.106:

1,7,15,17,23,29,35,39,43,49,52a,53,54,55, 57a

1,5,7,10,13,17,25,33,37,41,45,53,57+handout

1,3,7,13,15,17,23,29,33,43,47,53,55,61,67-74,83,84

Week 3
9/14 – 9/18

2.5:

2.6:

2.7:

Infinite Limits and Vertical Asymptotes

Continuity

Tangents and Derivatives

7

8

9

p.117:

p.129:

p. 136

1,5,7,9,13,15,21,23,27,31,35,39,45

1,5,7,9,13,19,25,33,35,39,54,55,58

5,7,15,23,25,27,29,31,32

Week 4
9/21 – 9/25

3.1:

3.2:

3.3:

3.4:

Derivative as a Function

Differentiation Rules

Derivative as Rate of Change

Derivatives of Trig Functions

10

11

12

p.152:

p.167:

p.177:

p.186:

3,5,9,13,17,25,27,29,31a,35,41,51

3,7,11,15,21,25,27,29,39,41,46,53

1,5,7,9,10,13,19,23,25,28

1,5,9,19,23,27,37,41,42,44,47,48,49

Week 5
9/28 – 10/2 

└►

REVIEW FOR EXAM #1

13

└►

STUDY FOR EXAM #1

└►

MIDTERM EXAM I:  Wednesday ~ September 30, 2009

▪

MATLAB ASSIGNMENT 1

  

▪

DUE DATE: 10/2

3.5:
 

3.6:

Chain Rule and Parametric Equations
 

Implicit Differentiation

14
 

15

p.199:
 

p.209:

1,3,9,15,17,23,29,39,45,53,65,67,71,74, 81,87,89,95,103,107,109

3,9,13,15,19,21,25,29,39,43,45,47,55,63

Week 6
10/5 – 10/9

3.7:

3.8:

3.9:

Deriv. of Inverse Functions & Logarithms

Inverse Trig Functions

Related Rates

16

17

18

p.221:

p.230:

p.236:

3,7,9,13,29,39,41,51,59,63,67,75,79,89,95

1,13,19,25,29,39,41,49,53,61,69,75,77,81

1,3,11,13,17,23,29,30,35

Week 7
10/12 – 10/16

3.9:

3.10:

4.1:

Related Rates (cont).

Linearization and Differentials

Extreme Values

19

20

21

p.236:

p.250:

p.272:

 

3,5,11,17,19,23,31,41,45,51,55,63

3,4,11,14,15,23,29,33,39,45,49,57,67,71

Week 8
10/19 – 10/23

4.2:

4.3:

4.4:

Mean Value Theorem

First Derivative Test

Concavity and Curve Sketching

22

23

24

p.282:

p.289:

p.298:

1,3,5,10,16,25,27,31,35,37,43,46,50,56,58,63

1,5,11,21,23,31,37,52

1,7,9,15,21,25,29,35,37,43,55,63,67,70

Week 9
10/26 – 10/30

└►

REVIEW FOR EXAM #2

25

└►

STUDY FOR EXAM #2

└►

MIDTERM EXAM II:  Wednesday ~ October 28, 2009

4.5:

4.5:

Applied Optimization Problems

App. Opt. Prob. (Continued)

26

27

p.309:

1,5,9,11,12,14,19,27,31,33,43,48,59a

Week 10
11/2 – 11/6

└►

Last Day to Withdraw from this course

  

4.6:

4.7:

Indeterminate Forms and L’Hopital’s Rule

Newton’s Method

28

29

30

p.323:

p.329:

1,5,9,13,19,29,35,39,45,47,55,57,61,64

1,3,5,10

Week 11
11/9 – 11/13

4.8:
 

5.1:

5.2:

Antiderivatives 
 

Estimating with Finite Sums

Sigma Notation and Limits of Finite Sums

31
 

32

33

p.338:
 

p.360:

p.369:

1,7,13,19,23,25,35,39,45,53,63,65,73,78,
83,87,89,99,103,121

1,5,9,13,15

1,5,11,15,17,25,31,35,37

Week 12
11/16 – 11/20 

5.3:

5.4:

The Definite Integral

Fundamental Theorem of Calculus 

34

35

36

p.379:

p.392:

1,7,9,15,17,21,27,39,43,53,61,63,65,66,72,82

1,7,9,11,19,27,29,37,41,47,53,55,62,66,75,76,77

▪

MATLAB ASSIGNMENT 2

  

▪

DUE DATE: 11/24

11/24 – 11/25

└►

(TUES. & Wed. Nov. 24 & 25) Classes follow a Thursday & Friday schedule

Week 13
11/23 – 11/25

5.5:

5.6:
 

Indefinite Integrals and Substitution

Substitution and Area between Curves
 

37

38

p.402:

p.410:
 

1,5,7,11,15,17,21,33,38,43,47,51,53,59,65

1a,3a,9b,11a,17,25,35,39,41,47,61,63,67,73,
81,108,111,113

11/26 – 11/29

└►

(Thurs.-Sun. Nov. 26-29) Thanksgiving Recess ~ University Closed

Week 14
11/30 – 12/4

└►

REVIEW FOR EXAM #3

39

└►

STUDY FOR EXAM #3

└►

MIDTERM EXAM III:  Wednesday ~ December 2, 2009

6.1:

6.2:

Volumes by Rotation about an Axis

Volumes by Cylindrical Shells

40

41

p.434:

p.443:

7,9,15,19,25,31,37,41,47,49,51,55,57

3,7,11,15,19,25,27,31,35

Week 15
12/7 – 12/9

└►

REVIEW FOR FINAL EXAM

42

└►

STUDY FOR FINAL EXAM

 

Finals

Final EXAM WEEK:  December 11-17, 2009

 

Prepared By:  Prof. Brucer Bukiet

Last revised:  August 24, 2009

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