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 211-H02:

HONORS Calculus iIIA

SPRING 2008

Course Schedule Link

 

 

     Instructor:  Prof. Bukiet

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

     Description: This course is concerned with the development of calculus for functions of several variables. This includes the application of concepts from calculus to the study of curves and surfaces in space, and the study of `vector fields’ (an example of a vector field is the map of wind patterns often shown on the nightly news). The topics covered in this course are interesting as well as important, with numerous technological and scientific applications.   Mastery of the material in this course will be critical if you go on to study classical dynamics (required for mechanical engineering or physics majors), electrodynamics (EE majors), fluid dynamics (chemical engineering majors), or a host of other topics in engineering and science. Many students find the material to be interesting although quite challenging; as a result it is likely that you will need to put more time into learning the material than is required for Math 111 and 112. Nevertheless you will find that the extra time input will be well rewarded as you progress in your major.

     Honors:  This is an honors course.  While we will cover the same material as the regular Math 211 sections, some will be covered in greater depth, additional problems may also be assigned.  These will usually be more challenging problems, or problems that illustrate more advanced topics. Some extra topics, such as numerical methods in more than one dimension will be covered.

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

      Homework +Quizzes:

 

17%

      3 Common Exams:

 

17% each

      Final Exam:

 

32%

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

A

87-100

 

C

60-66

B+

81-86

 

D

57-59

B

74-80

 

F

0-56

C+

67-73

 

 

 

Please note that the University Drop Date March 31, 2008 deadline will be strictly enforced.

 

     Homework Policy & Quiz Policy:  Learning Calculus is greatly facilitated through solving problems and reviewing your work. It is therefore vital that you complete and turn in any homework assignments the instructor requires, and to do so on time. These homework assignments will be reviewed and returned to you. The list of the required homework exercises during the semester will be provided in class. Recommended problems are given below in the Course Outline section. You should also feel free to pursue other problems that are not contained in this set. Homework assignments are due and will be collected at the beginning of the lecture on the date assigned. Frequent short quizzes based on the homework problems will be given. The quizzes will be graded and returned to you. The homework and quizzes are intended to practice problem-solving skills and to prepare you for the exams. The homework, quiz, class work and project grades will constitute a significant component of your course grade -- see above.

     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 common final exam during the final exam week. Midterm exams are held on Wednesdays on the following days:

Exam 1

February 13, 2008

Exam 2

March 12, 2008

Exam 3

April 16, 2008

The time of the midterm exams is 4:15-5:40 pm. 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 any electronic devices (such as calculators, cell phones, CD players) are not allowed during any exam.

     Makeup Exam Policy:  There will be no makeup 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.

 

January 21, 2008

M

Dr. Martin Luther King Jr. Holiday ~ University Closed

March 17-21, 2008

M-F

SPRING RECESS ~ No Classes Scheduled

March 21, 2008

F

Good Friday ~ University Closed

March 31, 2008

M

Last Day to WITHDRAW from this Course

 

Course Outline and Homework Assignments:

 

Week
Dates

Section & Topic

Homework Assignments

 

 

 

 

 

 

1
1/22 - 1/25

12.5:

Equations of lines and planes

1

p.829:

2,5,8,11,14,17,20,23,26,32,35

12.5:

Equations of lines and planes (cont.)

2

p.829:

39,41,42,44,47,50,54,55,58,62

2
1/28 – 2/1

12.6:

Cylinders and quadratic surfaces

3

p.837:

1,3,4,6,10,12,17,22,27,30,33,42

12.7:

Cylindrical coordinates (ONLY)

4

p.842:

1,4,8,11,12,31,36,37,41,49a,52a,57,58

3
2/4 – 2/8

13.1:

Vector functions and space curves

5

p.855:

1,4,8,11,16,20,24,25,29,35,39

13.2:

Derivatives and integrals of vector functions

6

p.861:

2,3,5,7,10,13,16,17,20,28,34,37,39,45

4
2/11 – 2/15

Review for Exam I

7

Study for EXAM I

Ü

MIDTERM Exam 1:

Wednesday ~ FEBRUARY 13, 2008

ž

GO OVER EXAM I

 

 

 

13.4:

Motion in space-velocity & acceleration

8

p.878:

3,4,6,9,11,12,15,19,23,24,27

5
2/18 – 2/22

14.1:

Functions of several variables and

9

p.897:

6,10,11,14,17,22,25,38,41, and

14.2:

Limits and continuity

9

p.908:

5,8,10,18,27,30

14.3:

Partial derivatives

10

p.919:

5,9,14,15,18,19,23,29,36,45,48,51,56,58

6
2/25 – 2/29

14.4:

Tangent planes and approximations

11

p.930:

2,4,6,11,14,17,19,24,26,28,30,34

14.5:

The chain rule

12

p.938:

1,3,4,6,8,10,12,15,17,21,23,24,30,35

7
3/3 – 3/7

14.6:

Directional Derivatives and gradient

13

p.950:

4,6,8,10,13,15,19,21,24,28,31,40,44

14.7:

Maximum and minimum values

14

p.961:

1,5,8,9,12,15,20,27,30,32,37

8
3/10 – 3/14

Review for Exam II

15

Study for EXAM II

Ü

MIDTERM Exam 2:

Wednesday ~ MArch 12, 2008

ž

GO OVER EXAM II

 

 

 

14.8:

Lagrange Multipliers (single constraint ONLY)

16

p.970:

3,4,6,9,18,23,25,28

 

 

 

 

 

 

9
3/17 – 3/21

MARCH 17-21, 2008:   (M-F)   SPRING RECESS: NO CLASSES SCHEDULED

 

 

 

 

 

 

10
3/24 – 3/28

15.1:

Double Integrals over rectangles

17

p.988:

1,4,9,11,12,14

15.2:

Iterated integrals

18

p.994:

3,4,6,8,11,13,15,18,23,26,29

11
3/31 – 4/4

MARCH 31, 2008:    (M)    LAST DAY TO WITHDRAW FROM THIS COURSE

15.3:

Double Integrals over general regions

19

p.1002:

2,3,6,7,9,10,14,17,19,23,32

MATLAB ASSIGNMENT

 

DUE ON 4/3/08

15.4:

Double Integrals in polar coordinates

20

p.1008:

4,8,10,13,15,21,22,25,30

12
4/7 – 4/11

15.5:

Applications of Double Integrals

21

p.1018:

1,4,6,9,11,12,16

15.7:

Triple Integrals

22

p.1030:

3,4,6,8,10,13,17

13
4/14 – 4/18

Review for Exam III

23

Study for EXAM III

Ü

MIDTERM Exam 3:

Wednesday ~ APRIL 16, 2008

ž

GO OVER EXAM III

 

 

 

15.8:

Triple Integrals in cylindrical coordinates (ONLY)

24

p.1037:

1,5,8,10,13,33

14
4/21 – 4/25

16.1:

Vector fields

25

p.1060:

2,4,7,12,18,21,23,26,34

16.2:

Line integrals and

26

p.1071:

1,7,12,15,20,22, and

16.3:

The fundamental theorem for line integrals

26

p.1081:

3,6,9,12,16,19,21

15
4/28 – 5/2

16
5/5

16.4:

Green’s Theorem

27

p.1089:

1,4,7,10,14,17,18

Review for Final Exam

28

Study for FINAL EXAM

 

 

 

 

 

 

Finals

FINAL EXAM WEEK:  MAY 8 - 14, 2008

 

Prepared By:  Prof. Bruce Bukiet

Last revised:  January 11, 2007