




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 211-007: Calculus IIIA
FALL 2009
Textbook: Thomas’ Calculus Early Transcendentals, 11e Media Upgrade, by Thomas, Weir, Hass & Giordano. Pub: Addison-Wesley, Pearson Education, Inc. ISBN-13: 978-0-321-4957503; ISBN: 0-534-39321-7.
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 & Quizzes: |
17% |
|
▪ 3 Common Midterm Exams: |
17% each |
|
▪ Final Exam: |
32% |
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 222.
|
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 November 2, 2009 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. 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: |
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 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.
| M |
Labor Day Holiday ~ University Closed |
|
| M |
Last Day to Withdraw from this course |
|
| 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:
|
Week |
Section & Topic |
Homework Assignments |
|||
|
|
|||||
|
Week
1 |
12.5: |
Lines and Planes in Space |
1 |
p.871: |
1,3,9,13,19,21,23 |
|
12.5: |
Lines and Planes in Space (cont.) |
2 |
p.871: |
29,33,39,45,47,53,59 |
|
|
Week
2 |
12.6: |
Cylinders and Quadric Surfaces |
3 |
p.881: |
1,9,15,21,31,35,45,53,59,61,63 |
|
13.1: |
Vector Functions |
4 |
p.900: |
1,5,9,11,15,21,23,27,33,37 |
|
|
Week
3 |
13.3: |
Arc Length and the Unit Tangent Vector T |
5 |
p.919: |
1,5,11 |
|
13.4: |
Curvature and the Unit Normal Vector N |
6 |
p.926: |
1,3,9,13,21 |
|
|
Week
4 |
14.1: |
Functions of Several Variables |
7 |
p.957: |
1,7,11,13,19,21,27,29,33,35,41 |
|
14.2: |
Limits and Continuity in Higher Dimensions |
8 |
p.966: |
1,3,9,13,19,21,27,33 |
|
|
Week 5 |
└► |
REVIEW FOR EXAM #1 |
9 |
└► |
STUDY FOR EXAM #1 |
|
└► |
MIDTERM EXAM I: Wednesday ~ September 30, 2009 |
||||
|
└► |
GO OVER EXAM #1 |
||||
|
14.3: |
Partial Derivatives |
10 |
p.978: |
1,9,13,15,17,29,35,41,43,53,57 |
|
|
Week
6 |
14.4: |
The Chain Rule |
11 |
p.987: |
1,7,9,13,15,23,25,31,33 |
|
14.5: |
Directional Derivatives and Gradient Vectors |
12 |
p.997: |
1,7,9,15,21,23 |
|
|
Week
7 |
14.6: |
Tangent Planes and Differentials |
13 |
p.1008: |
1,5,9,17,19,27,29,31,37,39,43,49,53 |
|
14.7: |
Extreme Values and Saddle Points |
14 |
p.1018: |
1,9,11,19,23,27,29,33,37,41 |
|
|
Week
8 |
14.8: |
Lagrange Multipliers |
15 |
p.1031: |
3,7,9,15,17,23,25,29,33,37 |
|
14.9: |
Partial Derivatives with Constrained Variables |
16 |
p.1037: |
1,5 |
|
|
Week 9 |
└► |
REVIEW FOR EXAM #2 |
17 |
└► |
STUDY FOR EXAM #2 |
|
└► |
MIDTERM EXAM II: Wednesday ~ October 28, 2009 |
||||
|
└► |
GO OVER EXAM #2 |
||||
|
15.1: |
Double Integrals |
18 |
p.1063: |
1,5,7,13,17,23,27,29,33,37,41,47,51,55 |
|
|
Week
10 |
└► |
Last Day to Withdraw from this course |
|||
|
15.2: |
Areas, Moments and Centers of Mass |
19 |
p.1073: |
3,5,11,13,17,19,21,27 |
|
|
▪ MATLAB ASSIGNMENT |
▪ DUE NOVEMBER 18, 2009 |
||||
|
15.3: |
Double Integrals in Polar Form |
20 |
p.1081: |
1,7,11,13,19,23,25,29 |
|
|
Week
11 |
15.4: |
Triple Integrals in Rectangular Coordinates |
21 |
p.1090: |
1,7,13,17,19,23,27 |
|
15.5: |
Masses and Moments in Three Dimensions |
22 |
p.1096: |
3,5,7,13,17,19 |
|
|
Week 12 |
15.6: |
Triple Integrals in cylindrical coordinates (ONLY) |
23 |
p.1108: |
1,3,9,11,17,43,45,57,59,63,67,71,79 |
|
16.1: |
Line Integrals |
24 |
p.1132: |
1,3,7,9,15,19,23,27 ▪ MATLAB ASSIGNMENT DUE |
|
|
Week 13 |
16.2: |
Vector Fields, Work, Circulation, and Flux |
25 |
p.1142: |
1,3,7,9,15,17,21,25,37,41 |
|
16.3: |
Path Independence, Potential Functions, and Conservative Fields |
26 |
p.1152: |
1,3,7,9,13,19 |
|
|
Week 14 |
└► |
REVIEW FOR EXAM #3 |
27 |
└► |
STUDY FOR EXAM #3 |
|
└► |
MIDTERM EXAM III: Wednesday ~ December 2, 2009 |
||||
|
└► |
GO OVER EXAM #3 |
||||
|
16.4: |
Green’s Theorem |
28 |
p.1163: |
1,5,7,15,19,21 |
|
|
Week 15 |
└► |
REVIEW FOR FINAL EXAM |
|
└► |
STUDY FOR FINAL EXAM |
|
|
|||||
|
Finals |
Final EXAM WEEK: December 11-17, 2009 |
||||

Prepared By: Prof. Manuel Perez
Last revised: July 14, 2009


