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. Matveev
◘ 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.
◘ Grading Policy: The final grade in this course will be determined as follows:
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Å Homework + Quizzes: |
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17% |
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Å 3 Common Exams: |
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17% each |
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Å Final Exam: |
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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 November 3, 2008 deadline will be strictly enforced.
◘ Homework Policy & Quiz Policy: Calculus is learned by solving problems. It is therefore vital that you complete and turn in all the homework assignments on time. The homework assignments will be reviewed and returned to you. You can find the list of the required homework exercises for each lecture in the Course Outline section. You should also feel free to pursue other problems that are not contained in this set. Homework problems are due and will be collected at the beginning of each lecture. A short quiz based on the homework problems will be given at least once per week. All of 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 and quiz grades will be a significant component of your course grade.
◘ 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 |
September 24, 2008 |
4:15 – 5:40pm |
5:45pm to 7:10pm |
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Exam 2 |
October 29, 2008 |
4:15 – 5:40pm |
5:45pm to 7:10pm |
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Exam 3 |
November 19, 2008 |
4:15 – 5:40pm |
5:45pm to 7:10pm |
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. 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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September 1, 2008 |
M |
Labor Day ~ No Classes Scheduled |
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November 3, 2008 |
M |
Last Day to Withdraw from Classes |
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November 25, 2008 |
T |
Classes Follow a Thursday Schedule |
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November 26, 2008 |
W |
Classes Follow a Friday Schedule |
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November 27-28, 2008 |
R-F |
Thanksgiving Recess ~ No Classes Scheduled |
Course Outline and Homework Assignments:
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Week |
Section & Topic |
Homework Assignments |
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1 |
12.5: |
Equations of lines and planes |
1 |
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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2 |
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 |
Review for EXAM I ~ 09/24/08 |
7 |
Ü |
Study for EXAM I ~ 09/24/08 |
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Exam 1: Wednesday ~ September 24, 2008 |
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Å |
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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6 |
14.4: |
Tangent planes and approximations |
11 |
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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7 |
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 |
14 |
p.961: |
1,5,8,9,12,15,20,27,30,32,37 |
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8 |
14.8: |
Lagrange Multipliers (single constraint ONLY) |
15 |
p.970: |
3,4,6,9,18,23,25,28 |
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15.1: |
Double Integrals over rectangles |
16 |
p.988: |
1,4,9,11,12,14 |
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9 |
Ü |
Review for EXAM II ~ 10/29/08 |
17 |
Ü |
Study for EXAM II ~ 10/29/08 |
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Exam 2: Wednesday ~ October 29, 2008 |
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Å |
GO OVER EXAM II |
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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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10 |
◘ NOVEMBER 3, 2008: (M) LAST DAY TO WITHDRAW FROM THIS COURSE |
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15.3: |
Double Integrals over general regions |
19 |
p.1002: |
2,3,6,7,9,10,14,17,19,23,32 |
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Å |
MATLAB ASSIGNMENT |
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Å |
DUE ON 11/6/08 |
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15.4: |
Double Integrals in polar coordinates |
20 |
p.1008: |
4,8,10,13,15,21,22,25,30 |
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11 |
15.5: |
Applications of Double Integrals |
21 |
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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12 |
Ü |
Review for EXAM III ~ 11/19/08 |
23 |
Ü |
Study for EXAM III ~ 11/19/08 |
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Exam 3: Wednesday ~ NOVEMBER 19, 2008 |
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Å |
GO OVER EXAM III |
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15.8: |
Triple Integrals in cylindrical coordinates (ONLY) |
24 |
p.1037: |
1,5,8,10,13,33 |
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13 |
16.1: |
Vector fields |
25 |
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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◘ NOVEMBER 25-26, 2008: (T-W) Classes Follow a Thursday and Friday Schedule ◘ NOVEMBER 27-28, 2008: (R-F) Thanksgiving Recess ~ No Classes Scheduled |
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14-15 |
16.4: |
Green’s Theorem |
27 |
p.1089: |
1,4,7,10,14,17,18 |
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Å |
Review for Final Exam |
28 |
Ü |
Study for FINAL EXAM |
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Final |
FINAL EXAM WEEK: December 15-19, 2008 |
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Prepared By: Prof. Manuel Perez
Last revised: July 24, 2008