MATH 211 - F07

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.

Mathematics 211-013:

Calculus iIIA

Fall 2007

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.

This curve may be adjusted slightly at the end of the semester. Also note that the University Drop Date November 5, 2007 deadline will be strictly enforced.

Homework & 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:

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.

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.

Course Outline and Homework Assignments:

Section & Topic						Homework Assignments:
Week 1 (9/4 - 9/7)
12.5:		Equations of lines and planes				1	p.829:	2,5,8,11,14,17,20,23,26,32,35
12.5:		Equations of lines and planes (cont.)				2	p.829:	39,41,42,44,47,50,54,55,58,62
Week 2 (9/10 – 9/14)
12.6:		Cylinders and quadratic surfaces				3	p.837:	1,3,4,6,10,12,17,22,27,30,33,42
12.7:		Cylindrical coordinates (ONLY)				4	p.842:	1,4,8,11,12,31,36,37,41,49a,52a,57,58
Week 3 (9/17 – 9/21)
13.1:		Vector functions and space curves				5	p.855:	1,4,8,11,16,20,24,25,29,35,39
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
Week 4 (9/24 – 9/28)
		REVIEW FOR EXAM I ~ 09/26/07				7		Study for EXAM I
◄			COMMON EXAM I:		Wednesday~ September 26, 2007				►
		GO OVER EXAM I
13.4:		Motion in space-velocity & acceleration				8	p.878:	3,4,6,9,11,12,15,19,23,24,27
Week 5 (10/1 – 10/5)
14.1:		Functions of several variables and				9	p.897:	6,10,11,14,17,22,25,38,41, and
14.2:		Limits and continuity				9	p.908:	5,8,10,18,27,30
14.3:		Partial derivatives				10	p.919:	5,9,14,15,18,19,23,29,36,45,48,51,56,58
Week 6 (10/8 – 10/12)
14.4:		Tangent planes and approximations				11	p.930:	2,4,6,11,14,17,19,24,26,28,30,34
14.5:		The chain rule				12	p.938:	1,3,4,6,8,10,12,15,17,21,23,24,30,35
Week 7 (10/15 – 10/19)
14.6:		Directional Derivatives and gradient				13	p.950:	4,6,8,10,13,15,19,21,24,28,31,40,44
14.7:		Maximum and minimum values				14	p.961:	1,5,8,9,12,15,20,27,30,32,37
Week 8 (10/22 – 10/26)
		REVIEW FOR EXAM II ~ 10/24/07				15		Study for EXAM II
◄			COMMON EXAM II:		Wednesday~ October 24, 2007				►
		GO OVER EXAM II
14.8:		Lagrange multipliers (single constraint ONLY)				16	p.970:	3,4,6,9,18,23,25,28
Week 9 (10/29 – 11/2)
15.1:		Double Integrals over rectangles				17	p.988:	1,4,9,11,12,14
15.2:		Iterated integrals				18	p.994:	3,4,6,8,11,13,15,18,23,26,29
Week 10 (11/5 – 11/9)
	NOVEMBER 5, 2007:			(M)	LAST DAY TO WITHDRAW FROM THIS COURSE
15.3:		Double Integrals over general regions				19	p.1002:	2,3,6,7,9,10,14,17,19,23,32
		MATLAB ASSIGNMENT						DUE ON 11/8/07
15.4:		Double Integrals in polar coordinates				20	p.1008:	4,8,10,13,15,21,22,25,30
Week 11 (11/12 – 11/16)
15.5:		Applications of Double Integrals				21	p.1018:	1,4,6,9,11,12,16
15.7:		Triple Integrals				22	p.1030:	3,4,6,8,10,13,17
Week 12 (11/19 – 11/23)
	NOVEMBER 20-21, 2007: NOVEMBER 22-23, 2007:			(T-W) (R-F)	Classes Follow a Thursday and Friday Schedule Thanksgiving Recess ~ No Classes Scheduled
15.8:		Triple Integrals in cylindrical coordinates (ONLY)				23	p.1037:	1,5,8,10,13,33
Week 13 (11/26 – 11/30)
		REVIEW FOR EXAM III ~ 11/28/07				24		Study for EXAM III
◄			COMMON EXAM III:		Wednesday~ November 28, 2007				►
		GO OVER EXAM III
16.1:		Vector fields				25	p.1060:	2,4,7,12,18,21,23,26,34
Week 14 (12/3 – 12/7)
16.2:		Line integrals and				26	p.1071:	1,7,12,15,20,22, and
16.3:		The fundamental theorem for line integrals				26	p.1081:	3,6,9,12,16,19,21
16.4:		Green’s Theorem				27	p.1089:	1,4,7,10,14,17,18
Week 15 (12/10 – 12/12)
		REVIEW FOR FINAL EXAM						Study for FINAL
Final Exam Week
FINAL EXAM WEEK: December 14-20, 2007

Homework +Quizzes:		17%
3 Common Exams:		17% each
Final Exam:		32%

A	87-100	C	60-66
B+	81-86	D	57-59
B	74-80	F	0-56
C+	67-73

September 3	M	Labor Day ~ No Classes Scheduled
November 5	M	Last Day to Withdraw from Classes
November 20	T	Classes Follow a Thursday Schedule
November 21	W	Classes Follow a Friday Schedule
November 22-23	R-F	Thanksgiving Recess ~ No Classes Scheduled

Exam 1	September 26, 2007
Exam 2	October 24, 2007
Exam 3	November 28, 2007