MATH 211 Course Syllabus

NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT 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 University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

Math 211-141:  Calculus IIIA

SUMMER 2011

 

Instructor:  Prof. Ratnaswamy

Textbook:  Thomas’ Calculus Early Transcendentals, 11e Media Upgrade (Bundled w/ MML SAK), by Thomas, Weir, Hass & Giordano. Pub: Addison-Wesley, Pearson Education, Inc. © 2008. ISBN-13: 9780321511812; ISBN-10: 0321511816. 

Prerequisites:  Math 112 with a grade of C or better.

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. 

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

Homework:

10%

Quizzes:

15%

Class Preparation:

5%

Midterm Exam:

30%

Final Exam:

40%


Your final letter grade will be based on the following tentative curve. NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 328, Math 331, Math 332, Math 335, Math 340

A

90-100

C

70-75

B+

86-89

D

60-69

B

80-85

F

0-59

C+

76-79

 

 


 

Drop Date:  Please note that the Math Summer Session Drop Date June 21, 2011 deadline will be strictly enforced.

Homework and Quiz Policy:  Homework is mandatory and it is handed in at the beginning of every class. Homework will not be returned to students. It will be checked for accuracy and completeness.

Quizzes are given at the discretion of the instructor, preferably twice a week. The homework and quizzes are intended to develop your problem-solving skills and to prepare you for the exams. The quiz and homework grades will be a significant component of your course grade.

How to get started with MyMathLab:  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.

       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. Two MATLAB assignments will be given during the semester. Students are responsible for completing these assignments independently. Software is available for download on the NJIT website. Help is available online.

Class Preparation:  Class preparation consists of written summaries of lectures handed in at the beginning of every class (together with homework). Students are responsible to read the section before the lecture and write one page summary consisted of definitions, theorems, and important examples.

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

Midterm Exam:

June 8, 2011

Final Exam:

July 18, 2011


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 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.

May 30, 2011

M

Memorial Day ~ University Closed

June 14, 2011

T

Last Day to Withdraw from Summer Session Math Courses

July 4, 2011

M

Independence Day (Observed) ~ University Closed


 

Course Outline and Homework Assignments:

 

Week
Dates

Section & Topic

Lecture, Page & Homework Assignments

 

Week 1
5/23 - 5/26

12.1-
12.4:

Vectors, the dot product, the cross product

└►

As Assigned by the Instructor

12.5:

Lines and Planes in Space

p.871:

1,3,9,13,19,21,23,29,33,39,45,47,53,59

12.6:

Cylinders and Quadric Surfaces

p.881:

1,9,15,21,31,35,45,53,59,61,63

Week 2
5/30 – 6/2

└►

MEMORIAL DAY ~ UNIVERSITY CLOSED

 

13.1:

Vector Functions

 

p.900:

1,5,9,11,15,21,23,27,33,37

13.3:

Arc Length and the Unit Tangent Vector T

p.919:

1,5,11

Week 3
6/6 – 6/9

14.1-

14.2:

Functions of Several Variables

Limits and Continuity in Higher Dimensions

 

p.957:

p.966:

1,7,11,13,19,21,27,29,33,35,41

1,3,9,13,19,21,27,33

14.3:

Partial Derivatives

p.978:

1,9,13,15,17,29,35,41,43,53,57

└►

REVIEW FOR Midterm EXAM

└►

STUDY FOR MIDTERM EXAM

└►

MIDTERM EXAM:  Wednesday ~ June 8, 2011

14.4:

The Chain Rule

 

p.987:

1,7,9,13,15,23,25,31,33

Week 4
6/13 – 6/16

14.5:

Directional Derivatives and Gradient Vectors

 

p.997:

1,7,9,15,21,23

14.6:

Tangent Planes and Differentials

p.1008:

1,5,9,17,19,27,29,31,37,39,43,49,53

14.7:

Extreme Values and Saddle Points

p.1018:

1,9,11,19,23,27,29,33,37,41

└►

Last Day to Withdraw from this course

Week 5
6/20 – 6/23

14.8:

Lagrange Multipliers

p.1031:

3,7,9,15,17,23,25,29,33,37

15.1:

Double Integrals

p.1063:

1,5,7,13,17,23,27,29,33,37,41,47,51,55

15.2:

Areas, Moments and Centers of Mass

p.1073:

3,5,11,13,17,19,21,27

 

 

 

Week 6
6/27 – 6/30

15.3:

Double Integrals in Polar Form

p.1081:

1,7,11,13,19,23,25,29

15.4:

Triple Integrals in Rectangular Coordinates

p.1090:

1,7,13,17,19,23,27

15.5:

Masses and Moments in Three Dimensions

p.1096:

3,5,7,13,17,19

Week 7
7/4 – 7/7

└►

INDEPENDENCE DAY (Observed) ~ UNIVERSITY CLOSED

 

15.6:

Triple Integrals in cylindrical coordinates (ONLY)

 

p.1108:

1,3,9,11,17,43,45,57,59,63,67,71,79

16.1:

Line Integrals

p.1132:

1,3,7,9,15,19,23,27

Week 8
7/11 – 7/14

16.2:

Vector Fields, Work, Circulation, and Flux

 

p.1142:

1,3,7,9,15,17,21,25,37,41

16.3:

Path Independence, Potential Functions, and Conservative Fields

p.1152:

1,3,7,9,13,19

16.4:

Green’s Theorem

p.1163:

1,5,7,15,19,21

└►

REVIEW FOR FINAL EXAM

└►

STUDY FOR FINAL EXAM

 

Final

Final EXAM:  Monday ~ July 18, 2011

Prepared By:  Prof. Jey Ratnaswamy

Last revised:  May 19, 2011

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