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.
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:
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17% |
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17% each |
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32% |
Your final letter grade will be based on the following tentative curve:
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A |
87-100 |
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C |
60-66 |
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B+ |
81-86 |
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D |
57-59 |
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B |
74-80 |
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F |
0-56 |
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C+ |
67-73 |
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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:
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Exam 1 |
February 13, 2008 |
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Exam 2 |
March 12, 2008 |
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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.
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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.
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January 21, 2008 |
M |
Dr. Martin Luther King Jr. Holiday ~ University Closed |
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March 17-21, 2008 |
M-F |
SPRING RECESS ~ No Classes Scheduled |
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March 21, 2008 |
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Good Friday ~ University Closed |
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March 31, 2008 |
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Last Day to WITHDRAW from this Course |
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Week |
Section & Topic |
Homework Assignments |
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12.5: |
Equations of lines and planes |
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p.829: |
2,5,8,11,14,17,20,23,26,32,35 |
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12.5: |
Equations of lines and planes (cont.) |
2 |
p.829: |
39,41,42,44,47,50,54,55,58,62 |
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12.6: |
Cylinders and quadratic surfaces |
3 |
p.837: |
1,3,4,6,10,12,17,22,27,30,33,42 |
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12.7: |
Cylindrical coordinates (ONLY) |
4 |
p.842: |
1,4,8,11,12,31,36,37,41,49a,52a,57,58 |
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3 |
13.1: |
Vector functions and space curves |
5 |
p.855: |
1,4,8,11,16,20,24,25,29,35,39 |
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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 |
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4 |
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Review for Exam I |
7 |
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Study for EXAM I |
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MIDTERM Exam 1: |
Wednesday ~ FEBRUARY 13, 2008 |
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GO OVER EXAM I |
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13.4: |
Motion in space-velocity & acceleration |
8 |
p.878: |
3,4,6,9,11,12,15,19,23,24,27 |
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5 |
14.1: |
Functions of several variables and |
9 |
p.897: |
6,10,11,14,17,22,25,38,41, and |
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14.2: |
Limits and continuity |
9 |
p.908: |
5,8,10,18,27,30 |
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14.3: |
Partial derivatives |
10 |
p.919: |
5,9,14,15,18,19,23,29,36,45,48,51,56,58 |
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14.4: |
Tangent planes and approximations |
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p.930: |
2,4,6,11,14,17,19,24,26,28,30,34 |
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14.5: |
The chain rule |
12 |
p.938: |
1,3,4,6,8,10,12,15,17,21,23,24,30,35 |
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14.6: |
Directional Derivatives and gradient |
13 |
p.950: |
4,6,8,10,13,15,19,21,24,28,31,40,44 |
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14.7: |
Maximum and minimum values |
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p.961: |
1,5,8,9,12,15,20,27,30,32,37 |
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8 |
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Review for Exam II |
15 |
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Study for EXAM II |
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MIDTERM Exam 2: |
Wednesday ~ MArch 12, 2008 |
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GO OVER EXAM II |
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14.8: |
Lagrange Multipliers (single constraint ONLY) |
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p.970: |
3,4,6,9,18,23,25,28 |
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9 |
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MARCH 17-21, 2008: (M-F) SPRING RECESS: NO CLASSES SCHEDULED |
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10 |
15.1: |
Double Integrals over rectangles |
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p.988: |
1,4,9,11,12,14 |
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15.2: |
Iterated integrals |
18 |
p.994: |
3,4,6,8,11,13,15,18,23,26,29 |
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11 |
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MARCH 31, 2008: (M) LAST DAY TO WITHDRAW FROM THIS COURSE |
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15.3: |
Double Integrals over general regions |
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p.1002: |
2,3,6,7,9,10,14,17,19,23,32 |
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MATLAB ASSIGNMENT |
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DUE ON 4/3/08 |
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15.4: |
Double Integrals in polar coordinates |
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p.1008: |
4,8,10,13,15,21,22,25,30 |
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12 |
15.5: |
Applications of Double Integrals |
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p.1018: |
1,4,6,9,11,12,16 |
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15.7: |
Triple Integrals |
22 |
p.1030: |
3,4,6,8,10,13,17 |
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13 |
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Review for Exam III |
23 |
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Study for EXAM III |
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Ü |
MIDTERM Exam 3: |
Wednesday ~ APRIL 16, 2008 |
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GO OVER EXAM III |
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15.8: |
Triple Integrals in cylindrical coordinates (ONLY) |
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p.1037: |
1,5,8,10,13,33 |
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14 |
16.1: |
Vector fields |
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p.1060: |
2,4,7,12,18,21,23,26,34 |
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16.2: |
Line integrals and |
26 |
p.1071: |
1,7,12,15,20,22, and |
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16.3: |
The fundamental theorem for line integrals |
26 |
p.1081: |
3,6,9,12,16,19,21 |
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16.4: |
Green’s Theorem |
27 |
p.1089: |
1,4,7,10,14,17,18 |
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Review for Final Exam |
28 |
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Study for FINAL EXAM |
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Finals |
FINAL EXAM WEEK: MAY 8 - 14, 2008 |
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Prepared By: Prof. Bruce Bukiet
Last revised: January 11, 2007