NJIT: Mathematical Sciences: Courses: MATH 112

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Mathematical Sciences Info for Students > Undergraduate > Course Information > Course Syllabi

MATH 112 Course Syllabus

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 112-011: Calculus II

FALL 2009

Instructor: Prof. Muratov

Textbook: Thomas� Calculus Early Transcendentals, 11e Media Upgrade (Bundled w/ P1&P2 Sol Mnl & MML Sak), by Thomas, Weir, Hass & Giordano. Pub: Addison-Wesley, Pearson Education, Inc. � 2008. ISBN-13: 9780321518941; ISBN-10: 0321518942.

Prerequisites: Math 111 with a grade of C or better.

Grading Policy: The final grade in this course will be determined as follows based on a 100% / 100 point scale:

▪ Class Participation, Preparation, Homework, Quizzes:	10% ≡	10 pts.*
* In Class Quizzes:	↳6% ≡	↳6 pts.
* On-line Homework:	↳3% ≡	↳3 pts.
* Matlab:	↳1% ≡	↳1 pt.
▪ Common Midterm Exam I:	10% ≡	10 pts.
▪ Common Midterm Exam II:	15% ≡	15 pts.
▪ Common Midterm Exam III:	30% ≡	30 pts.
▪ Final Exam:	35% ≡	35 pts.

* The ten points allocated to this component can be adversely affected by attendance. For each unexcused absence, one point will be deducted from the student's score - up to the entire ten points (or 10%).	100% ≡	100 pts.

All examinations are cumulative from the beginning of the semester. For example the third common examination will contain at least one problem similar to problems from the first and second common examinations. It is therefore essential that students rework and understand problems which were not done correctly on an examination.

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 211 or Math 213.

A	90-100	C	70-74	* Attendance is mandatory in this class. Students cannot be prepared and participate if they are not present. Each unexcused absence will detract 1 points from this allotment.
B+	85-89	D	60-69
B	80-84	F	0-59
C+	75-79

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.

Homework Assignments for Math 112: There are three types of homework problems that cover important topics for learning calculus. These three types of homework problems are assigned with the lectures and are described below:

I. On-line Homework:

This homework is to be completed using the online study tool MyMathLab, which is also needed with any online quizzes that may be given.

II. Hand-in Homework (having MyMathLab assistance available):

These problems require you to turn in hand-written solutions to the problems that are assigned from the textbook. These book exercises are in the MyMathLab library:

Using MyMathLab for Hand-in Homework is optional. However, if you are having difficulty with a hand-in homework problem, then you may use MyMathLab to help you with very similar problems. These problems are listed online with the title of Hand-in Homework, and they can help you solve the problem with step-by-step examples.
The online version of the Hand-in Homework, which is now labeled "Help for Hand-In Homework� will not count towards the Course Score. They are only there to provide assistance.

III. Hand-in Homework (having MyMathLab assistance not available):

These problems are important enough to be covered in this course. However, they are not available in the online library, so you cannot receive online assistance for them.

These problems are only given in the syllabus. For example, Hand-in HW problems: 3,7,13,25,43,16,44 are assigned. However, problems 16 & 44 are not available online.
If you have difficulty with these problems, you should obtain help in the University Learning Center before the next lecture, or from your Instructor during office hours or ask for help in the following lecture.

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 Policy: Math 112 meets four times a week; there are three lectures and one recitation hour. Recitation classes provide an additional opportunity for you to seek help with homework and concepts taught in class. Attendance at all classes (both lecture and recitation) 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.

Hand-in Homework, Recitation Work, and Attendance: The Hand-In Homework and Recitation Work affect your grade on Common Exams. Any Hand-In Homework and Recitation Work that is not submitted when due or deemed unacceptable (it doesn�t have to be perfect, but it must show a reasonable and productive effort was made to do the assignment) will result in 2 points being detracted from the additional 10 point allotment on the upcoming Common Exam. NOTE: Online Work for Hand-in Homework does not affect your grade.

Unexcused absences from lectures and recitations will detract 1 point per absence from your final Course Score up to a maximum penalty of 10 points.

Excused Absences: In order for an absence to be excused, the student must present documentation (Dr.�s note, court notice, etc.) to the Course Coordinator or to the Math Department Office (to be forwarded to the course coordinator) � within 1 week of his/her return to class. The documentation will then be evaluated by to the course coordinator and the student will be notified by e-mail as to the disposition of the excused absence request.

* Cutoff Adjustment: If a student is within 2 points of a cutoff score, and the Instructor petitions the Coordinator to adjust the score based on exceptional class performance, A SINGLE UNEXCUSED ABSENCE WILL DISQUALIFY A STUDENT FROM RECEIVING THIS CONSIDERATION.

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 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 or Quizzes 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.

September 7, 2009	M	Labor Day Holiday ~ University Closed
November 2, 2009	M	Last Day to Withdraw from this course
November 24, 2009	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 Dates	Lecture	Section, Page, & Topic		Homework Assignments

Week 1 8/31 � 9/4	Lec 1	Sec 6.3:	Pages 446-445	Lengths of Plane Curves.
		On Line HW:	6.3	1,5,9,17
		Hand in HW:	6.3	3,7,11,14
	Lec 2	Sec 6.5:	Pages 465-471	Areas of Surfaces of Revolution. Pages 472-473 are optional.
		On Line HW:	6.5	9,17,21
		Hand in HW:	6.5	15,19,24
	Lec 3	Sec 6.6:	Pages 477-480	Work. Cover examples 1-5. Example 6 is optional.
		On Line HW/	6.6	1,5,9,19
		Hand in HW	6.6	3,7,17,21, page 493 problem 44.
Week 2 9/7 � 9/11	Lec 4	Sec 7.2:	Pages 508-514	Exponential Growth and Decay. Cover examples 1-6.
		On Line HW:	7.2	3,11,17,23
		Hand in HW:	7.2	9,13,21,25
	Lec 5	Sec 7.4	Pages 523-530	Hyperbolic Functions. (Students will be able to use the tables in this section on examinations, and should use them for the homework problems). Work Exercises 7.4/ 68,72
		On Line HW:	7.4	1,5,13,17,41,47,57
		Hand in HW:	7.4	3,7,45,51, 67, 71,73
	Lec 6	Sec 8.1: (part 1)	Pages 537-540	Basic Integration Formulas. Part 1. [Unless it is specifically stated as in Lec 5 above, students will NOT have tables on examinations and should learn the material to the point that they are not dependent on them] Cover Examples 1-4 Work Exercise 8.1/40
		On Line HW:	8.1	1,13,21,27,37
		Hand in HW:	8.1	7,19,25,33, 35,39
Week 3 9/14 � 9/18	Lec 7	Sec 8.1: (part 2)	Pages 540-542	Basic lntegration Formulas. Part 2. Cover Examples 5-7.
		On Line HW:	8.1	49,57,67,73
		Hand in HW:	8.1	53,63,71,77
	Lec 8	Sec 8.2:	Pages 545-552	Integration by Parts. Cover Examples 1-6,9,10. Tabular Integration, Ex 7, 8 are optional.
		On Line HW:	8.2	1,7,17,27
		Hand in HW:	8.2	5,13,23,29
	Lec 9	Sec 8.3: (part 1)	Pages 554-558	Integration of Rational Functions by Partial Fractions. Part 1. Cover examples 1,2,3. From Exercises 8.3 work problems 16,19.
		On Line HW:		1,9,17
		Hand in HW:		7,13 3,5,20
Week 4 9/21 � 9/25	Lec 10	Sec. 8.3: (part 2)	Pages 558 -559	Integration of Rational Functions by Partial Fractions. Cover examples 4,5. Heavyside method is optional. From Exercises 8.3 work problems 30, 38
		On Line HW:		23,29,35
		Hand in HW:		25,31, 37
	Lec 11	Sec 8.4:	Pages 565-569	Trigonometric Integrals. Cover Examples 1-7.
		On Line HW:		1,9,15,25
		Hand in HW:		3,13,21,29
	Lec 12	Sec 8.5: (part 1)	Pages 570-573	Trigonometric Substitutions. Part 1. Cover examples 1,2,3.
		On Line HW:		1,7,19
		Hand in HW:		21,2,8
Week 5 9/28 � 10/2	Lec 13	STUDENT INITIATED REVIEW FOR COMMON EXAM 1, AND/OR COVERAGE OF ADDITIONAL TOPICS.
	└►	REVIEW FOR EXAM #1		└► STUDY FOR EXAM #1
	└►	MIDTERM EXAM I: Wednesday ~ September 30, 2009
	└►	GO OVER EXAM #1
	Lec 14	Sec 8.5: (part 2)	Pages 573-575	Trigonometric Substitutions. Part 2. Cover examples 4,5.
		On Line HW:		25,35,41
		Hand in HW:		31,39, 42
	Lec 15	Sec 8.7	Pages 588-597	Numerical Integration. Page588 , The Trapazoidal Rule, example 1,3 Page 594, Simpson�s Rule, example 4.6 pages 595-597 is optional
		On Line HW:		1,7
		Hand in HW:		2,9,10
Week 6 10/5 � 10/9	Lec 16	Sec 8.8. (part 1)	Pages 603-610	Improper Integrals. Part 1. Cover examples 1-8.
		On Line HW:		1,11,15
		Hand in HW:		5,13,25,31
	■	MATLAB ASSIGNMENT 1: Due & collected with the Hand In Homework at the beginning of Lecture 23.
	Lec 17	Sec 8.8. (part 2)		Improper Integrals. Part 2. Pages 611-614
		On Line HW:		35,41,55
		Hand in HW:		39,53,59 63
	Lec 18	Sec 4.6	Page 323	Review of L�Hopital�s Rule; Sketch solutions to Exercises 4.6, problems 15,19,33,53.
		Sec 11.1	Pages 730-740	Sequences.
		On Line HW:	11.1	1,11,19,31,41,49,61
		Hand in HW:	11.1	3,13,25,35,47,55,77
Week 7 10/12 � 10/16	Lec 19	Sec 11.2(part 1)	Pages 745-749	Infinite Series . Part 1. Cover examples 1-5
		On Line HW:		7,15,23
		Hand in HW:		13,19,27
	Lec 20	Sec 11.2. (part 2)	Pages 750-753.	Infinite Series. Part 2. Cover examples 6-10.
		On Line HW:		29,43,51
		Hand in HW:		33,45,57
	Lec 21	Sec 11.3		The Integral Test. Page 756, cover ex 1-4
		On Line HW:		1,7,15,25
		Hand in HW:		5,11,19,27
Week 8 10/19 � 10/23	Lec 22	Sec 11.4: (part 1)	Pages 761-765	Comparison Tests. Part 1, Cover examples 1,2,3
		On Line HW:		1,7
		Hand in HW:		5,11,17, study and write up the solutions to examples 1,2,3 from pages 761-765.
	Lec 23	Sec 11.4: (part 2)	Page 765.	Comparison Tests. Part 2. From Exercises 11.4 work problems 10, 14, 3,6, 9, 12,15,24
		On Line HW:		19, 27
		Hand in HW:		23,33, 2,5,8,11,23,33
	Lec 24	sec 11.5.	Pages 765-769.	The Ratio and Root Tests. Cover examples 1,2,3,2R.
		On Line HW:		3,13,23,31
		Hand in HW:		9, 19, 27, 41
Week 9 10/26 � 10/30	Lec 25	STUDENT INITIATED REVIEW FOR COMMON EXAM 2, AND/OR COVERAGE OF ADDITIONAL TOPICS.
	└►	REVIEW FOR EXAM #2		└► STUDY FOR EXAM #2
	└►	MIDTERM EXAM II: Wednesday ~ October 28, 2009
	└►	GO OVER EXAM #2
	Lec 26	Sec 11.6. (part 1)	Pages 771-774	Alternating Series, Absolute and Conditional Convergence. Part 1. Cover examples 1-4. Theorem 17 and example 5,6 are optional.
		On Line HW:		1,9,17
		Hand in HW:		3,11, 13,15,18,20,21
	Lec 27	Sec 11.6(part 2)	Page 776 .	Alternating Series, Absolute and conditional Convergence. Part 2. Cover all Hand in HW from Lec 26. From Exercises 11.6 work problems 37,39,46
		On Line HW:		19,31
		Hand in HW:		23,47, 27,29,26
Week 10 11/2 � 11/6	└►	Last Day to Withdraw from this course
	Lec 28	Sec 11.7	Pages 778-786	Power Series . Page 787 is optional. Cover examples 1-6
		On Line HW:		5,13,19
		Hand in HW:		7,15,25,29
	Lec 29	Sec 11.8	Pages 789-793.	Taylor and McLaurin Series. Cover examples 1,2,3. ex 4 is optional but should be discussed.
		On line HW:		1,9,15
		Hand in HW:		7,11,21,25
	Lec 30	Sec 11.9 (part 1)	Pages 795-799	Convergence of Taylor Series, Part 1., Cover examples 1-4.
		On line HW:		1,3,7,9
		Hand in HW:		2,4,8,10
Week 11 11/9 � 11/13	Lec 31	Sec 11.9(part 2)	Part 2. Page 800	Convergence of Taylor Series, Cover examples 6,7.
		On Line HW:		15,19,23
		Hand in HW:		15,19,23, 24,25
	Lec 32	Sec 10.4	Pages 693-694.	Conics and Parametric Equations. Cover examples 1,2,3.
		On Line HW:		1,3,7,17
		Hand in HW:		3,5,11 (review Hyperbolic Function identities),
	Lec 33	Sec 10. 5(part 1)	Pages 698-701	Polar Coordinates. Part 1. Cover examples 1-4, 6
		On Line HW:		5,11,19
		Hand In HW:		7,13,23, 27
Week 12 11/16 � 11/20	Lec 34	Sec 10.5	Page 700-701.	Polar Coordinates Part 2. Cover ex 5. From Exercises 10.5 work Problems 22,25,33,43,49,53
		On Line HW:		29,49,45
		Hand in HW:		45,53,57 25,43.
	■	MATLAB ASSIGNMENT 2: Due & collected with the Hand In Homework at the beginning of Lecture 40.
	Lec 35	Sec 10.6	Page 703.	Graphing in Polar Coordinates. Cover examples 1-5.
		On Line HW:		1,13,21
		Hand in HW:		5,17,31
	Lec 36	Sec 10.7		Areas and Lengths in Polar Coordinates. Pages 709-712. Cover examples 1-4. Example 5 is optional.
		On Line HW:		1,5,9,19
		Hand in HW:		5, 11, 21
11/24 � 11/25		(TUES. & Wed. Nov. 24 & 25) Classes follow a Thursday & Friday schedule
Week 13 11/23 � 11/25	Lec 37	Sec 12.1	Page 832	Three Dimensional Coordinate Systems. Cover examples 1-5
		On Line HW:		1,11,21,31,37,49
		Hand in HW:		5,13,23,35,41
	Lec 38	Sec 12.2	Page 837	Vectors. Cover examples 1-8
		On Line HW:		1,9,17,25,35
		Hand in HW:		5,13,23,33,37
11/26 � 11/29		(Thurs.-Sun. Nov. 26-29) Thanksgiving Recess ~ University Closed
Week 14 11/30 � 12/4	Lec 39	STUDENT INITIATED REVIEW FOR COMMON EXAM 3, AND/OR COVERAGE OF ADDITIONAL TOPICS.
	└►	REVIEW FOR EXAM #3		└► STUDY FOR EXAM #3
	└►	MIDTERM EXAM III: Wednesday ~ December 2, 2009
	└►	GO OVER EXAM #3
	Lec 40	12.3	Page 846.	The Dot Product. Cover examples 1-6.
		On Line HW:		1,7,9,13
		Hand in HW:		2,7, 9,10, 13
	Lec 41	12.4	Page 857	The Cross Product. Cover ex 1-4
		On Line HW:		1,5,9,15,
		Hand in HW:		2,5,8, 16
Week 15 12/7 � 12/9	Lec 42	REVIEW FOR FINAL EXAM		└► STUDY FOR FINAL EXAM

Finals	Final EXAM WEEK: December 11-17, 2009

Prepared By: Prof. Martin Katzen

Last revised: September 24, 2009

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Copyright � 2009 New Jersey Institute of Technology � University Heights, Newark, New Jersey 07102 (973) 596-3000 � Maintained by Department of Mathematical Sciences.
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