MATH 211 Course Syllabus -SPRING 2012

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:  Calculus IIIA

 

Number of Credits:  3

 

Course Description:  Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's theorem. Students who are considering a major in Mathematical Sciences or who are undecided about their major should take Math 213. 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. 

Objectives

1-Apply previously developed skills learned in Calculus to learn Multivariable Calculus and Vectors

 2-Cover Vectors, Partial Derivatives, Multiple Integrals and Vector Fields to prepare students for further study in technological disciplines and more advanced mathematics courses.

3-Cover relevant applications in science and engineering to illustrate the utility of learning these topics.

4- Use mathematical software, in problem solving, to allow the solution of more complex problems and provide visualization of the mathematical concepts in three dimensions. 

Outcomes

1-Prepare students for further study in technological disciplines and more advanced mathematics courses.

2-Illustrate the utility of learning Multivariable Calculus to solve problems in engineering and the sciences.

3-Demosntrate mastery of the topics covered by testing with common exams and common grading.

 

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

Textbook:  Thomas’ Calculus Early Transcendentals, 12e Media Upgrade (Bundled w/ MML SAK), by Thomas, Weir & Hass. Pub: Addison-Wesley, Pearson Education, Inc. © 2010. ISBN-13: 978-0321-62718; ISBN-10: 0-321-62718-0. 

 Instructor:   (for specific course-related information, follow the link below)

 

Math 211-002

Prof. Hunter

Math 211-004

Prof. Boubendir

Math 211-006

Prof. Katzen

Math 211-008

Prof. Rotstein

Math 211-012

Prof. Perez

Math 211-102

Prof. Sieminska

 

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

Homework & Quizzes:

20%

Common Midterm Exam I:

25%

Common Midterm Exam II:

25%

Final Exam:

30%


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

87-100

C

60-66

B+

81-86

D

57-59

B

74-80

F

0-56

C+

67-73

 

 

 

Drop Date:  Please note that the University Drop Date March 20, 2012 deadline will be strictly enforced.

Homework and Quiz Policy:  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. A quiz based on the homework problems will be given each week online or in class. There will be a short quiz every week on the material covered during the previous week. All of the quizzes will be graded. 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:

       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. Each MATLAB assignment will be graded and will be counted as a weekly quiz grade. 

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:

March 7,  2012

Exam 2:

April 11, 2012

Final Exam Week:

May 3-9, 2012


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.

January 16, 2012

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 11-18, 2012

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 20, 2012

T

Last Day to Withdraw from this course

April 6, 2012

F

Good Friday ~ University Closed

May 1, 2012

T

Classes follow a Friday Schedule, Last Day of Classes

May 2, 2012

W

Reading Day

May 3-9, 2012

R-W

Final Exams


Course Outline and Homework Assignments:

 

Lecture

Sections

Topic

Assignment

1

12.1-12,2

Three-Dimensional Coordinate Systems and Vectors

p.681: 13,21,27,43

p.690:10,14,17,28,34,39,43,47

2

12.3

The Dot Product

p.698:3,12,14,15,16,24,30,41,44

3

12.4

The Cross Product

p.704:7,17,21,23,25,39,45,48

4

12.5

Lines and Planes in Space

p.711:9,17,23,27,29,35,42,48,53,59,61,65

5

12.6

Cylinders and Quadric Surfaces

p.718:5,8,11,15,19,22,33,41

6

13.1

Curves in Space and Their Tangents

p.731:1,7,9,14,15,21,25

7

13.2

Integrals of Vector Functions;Projectile Motion

p.738:1,7,11,15,17,21,32

8

13.3

Arc Length in Space

p.745:1,6,11,13,15

9

14.1

Functions of Several Variables

p.773:5,11,13,14,18,19,25,27,39,49,53,57,61

10

14.3

Partial Derivatives

p.790:5,13,17,30,37,43,48,53.61,65,66,73,90

11

14.4

The Chain Rule

p.800:3,5,7,9,27,29,35,37,43,48

12

14.5

Directional Derivative and Gradient Vectors

p.808:5,9,11,15,17,20,27,31,34

13

REVIEW FOR EXAM 1

COMMON EXAM 1: WEDNESDAY, MARCH 7, 2012

14

14.6

Tangent Planes and Differentials

p.817:2,5,9,15,19,22,29,41,43,51,53

15

14.7

Extreme Values and Saddle Points

p.827:3,7,20,27,31,32,41,51,53,57

16

14.8

Lagrange Multipliers

p.829:3,8,13,17,19,22,25,30,35

17

15.1.

Double and Iterated Integrals over Rectangles

p.858:3,7,10,14,17,19,23,27

18

15.2-15.3

Double Integrals over General Regions and Area by Double Integration

p.865:13,18,35,43,44,47,51,57

p.870:3,7,11,21

19

15.4

Double Integrals in Polar Form

p.875: 10,14,17,21,23,29,37

20

15.5

Triple Integrals in Rectangular Coordinates

p.883:7,9,11,23,25,31,33

21

15.6

Moments and Center of Mass

p.887:3,4,13,15,25,29,33

22

15.7

Triple Integrals in Cylindrical Coordinates(ONLY)

p.901:3,7,9,17,18,52,53,55,59   

23

REVIEW FOR EXAM 2

COMMON EXAM 3: WEDNESDAY, APRIL 11, 2012

24

16.1

Line Integrals

p.923:9,10,15,21,24,29,34

25

16.2

Vector Fields and Line Integrals:Work,Circulation, and Flux

p.935:9,10,15,19,21,23,24,27.33,36

26

16.3

Path Independence,Conservative Fields, and Potential Functions

p.939:1,7,9,15,19,20,24,27,29

27

16.4

Greens Theorem in the Plane

p.959:5,7,9,11,13,15,18,19,21,23,25,26,33

28

 REVIEW FOR THE FINAL EXAM 

29

 FINAL EXAM PERIOD: MAY 3-9, 2012 

 

Prepared By:  Prof. Manuel Perez

Last revised:  December 23, 2011

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