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MATH 213 Course Syllabus
-sUMMER 2013
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 213: Calculus IIIB
Number of Credits: 4
Course Description: Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's theorem. 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.
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)
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Math 213-031 |
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework & Quizzes: |
15% |
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▪ Midterm Exam: |
25% each |
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▪ Final Exam: |
35% |
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.
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A |
90-100 |
C |
70-74 |
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B+ |
85-89 |
D |
60-69 |
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B |
80-84 |
F |
0-59 |
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C+ |
75-79 |
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Drop Date: Please note that the University Drop Date July 10, 2013 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.
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:
June 19, 2013
Exam 2:
July 10, 2013
Final Exam:
August 8, 2013
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.
| T |
Full Summer Session Begins |
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| R |
Last Day To Register For Full Semester Course |
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| M |
Memorial Day ~ University Closed |
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| R |
July 4th Holiday ~ University Closed |
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| W |
Last Day To Withdraw from Full Semester Course |
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| R |
Full Summer Session Ends |
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| R |
Final Exam |
Course Outline and Homework Assignments:
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Sections |
Topic |
Assignment |
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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 |
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12.3 |
The Dot Product |
p.698:3,12,14,15,16,24,30,41,44 |
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12.4 |
The Cross Product |
p.704:7,17,21,23,25,39,45,48 |
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12.5 |
Lines and Planes in Space |
p.711:1, 3, 9,17,23,27,29,35,42,48,51 |
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12.5-
12.6 |
Lines and Planes (cont’d)
Cylinders and Quadric Surfaces |
p.718:1,3,5,8,11 |
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12.6 |
Cylinders and Quadric Surfaces (cont’d) |
p.718:15,19,22,33,41 |
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13.1 |
Curves in Space and Their Tangents |
p.731:1,5,7,9,14,15,21,25 |
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13.2 |
Integrals of Vector Functions; Projectile Motion |
p.738:1,7,17 |
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13.3
13.4 |
Arc Length in Space
Curvature and Normal Vectors |
p.745:1,4,6,11,13,15
p.751:1,3,9,12,13 |
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14.1 |
Functions of Several Variables |
p.773:5,11,13,14,18,19,25,27,39,49,53,57,61 |
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14.2 |
Limits and Continuity in higher Dimensions |
p.779:1,3,9,13,19,21,25,31 |
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14.3 |
Partial Derivatives |
p.790:5,13,17,25,30,33,37,43,48,53.61,65 |
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REVIEW FOR EXAM 1 |
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EXAM 1: Wednesday ~ June 19, 2013 |
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14.4 |
The Chain Rule |
p.800:3,5,7,9,27,29,35,37 |
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14.5 |
Directional Derivative and Gradient Vectors |
p.808:1-5,7-9,11,15,17,20,27,31 |
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14.6 |
Tangent Planes and Differentials |
p.817:1,2,5,9,15,19,22,29,39,41,43,53 |
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14.7 |
Extreme Values and Saddle Points |
p.827:3,7,20,27,31-33,41 |
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14.8 |
Lagrange Multipliers |
p.829:3,7-9,13 |
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14.8
14.9 |
Lagrange Multipliers (cont’d)
Taylor’s Formula in Two Variables |
p.829:17,19,22,25,30,35
p.842:1-5 |
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15.1 |
Double and Iterated Integrals over Rectangles |
p.858:1,3,5,7,10,14,17,19,23,27 |
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15.2 |
Double Integrals over General Regions |
p.865:13,18,35,43,47,51,57 |
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15.3 |
Area by Double Integration |
p.870:3,7,11,13,21 |
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15.4 |
Double Integrals in Polar Form |
p.875:9,10,14,17,21,23,29 |
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15.5 |
Triple Integrals in Rectangular Coordinates |
p.883: 1,7,9,11,23,25,31,33 |
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15.5 |
Triple Integrals in Rectangular Coordinates (cont’d) |
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15.7 |
Triple Integrals in Cylindrical Coordinates |
p.901: 3,7,9,17,18,52,53,55,59
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15.7 |
Triple Integrals in Spherical Coordinates |
p.901: 21, 23, 25 |
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15.8 |
Substitutions in Multiple Integrals |
p. 912:2,3,7,13,17,18 |
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REVIEW FOR EXAM 2 |
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EXAM 2: Wednesday ~ JuLY 10, 2013 |
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16.1 |
Line Integrals |
p.923:1,3,7,9,10,15,21,23,29 |
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16.2 |
Vector Fields and Line Integrals: Work, Circulation,
and Flux |
p.935:1,3,7,9,10,15,19,21,23,24,27,33,36 |
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16.3 |
Path Independence, Conservative Fields, and
Potential Functions |
p.947:1,7,9,15,19,20 |
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16.3 |
Path Independence, Conservative Fields, and
Potential Functions (cont’d) |
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16.4 |
Greens Theorem in the Plane |
p.958:1,3,5,7,9,11,13,15,18,19,21,23,25,26,33 |
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16.4 |
Green’s Theorem in the Plane (continued) |
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16.5 |
Surfaces and Area |
p. 969:1,5,9,13,15 |
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16.6 |
Surface Integrals |
p. 978:1,3,4,5,9 |
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16.7 |
Stokes Theorem |
p. 988:1,3,5,9,13,15,17 |
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16.7 |
Stokes Theorem (cont’d) |
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16.8 |
The Divergence Theorem |
p. 999:1,3,7,9,11,15 |
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16.8 |
The Divergence Theorem (cont’d) |
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REVIEW for Final Exam |
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Final EXAM: Monday ~ August 8, 2013 |
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Prepared By: Prof. Jeya Ratnaswamy
Last revised: May 8, 2013