Math 112: Calculus II
Spring 2019 Course Syllabus

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.

Course Information

Course Description: Topics include integration, applications of integration, series, exponential and logarithmic functions, transcendental functions, polar coordinates, and conic sections.

Number of Credits: 4

Prerequisites: MATH 111 with a grade of C or better or MATH 132 with a grade of C or better.

Course-Section and Instructors

Course-Section	Instructor
Math 112-002	Professor S. M. A. Khan
Math 112-004	Professor J. Zaleski
Math 112-006	Professor P. Ward
Math 112-010	Professor S. M. A. Khan
Math 112-012	Professor J. Zaleski
Math 112-014	Professor D. Schmidt
Math 112-016	Professor R. Kelly
Math 112-018	Professor P. Rana Concepcion
Math 112-020	Professor E. Dupay
Math 112-022	Professor P. Rana Concepcion
Math 112-024	Professor J. Porus
Math 112-026	Professor J. H. Ro
Math 112-030	Professor P. Ward
Math 112-032	Professor R. Kelly
Math 112-102	Professor A. Noor
Math 112-104	Professor H. Behzadpour

Office Hours for All Math Instructors: Spring 2019 Office Hours and Emails

Required Textbook:

Title	Thomas' Calculus: Early Transcendentals
Author	Hass, Heil, and Weir
Edition	14th
Publisher	Pearson
ISBN #	978-0134768496

University-wide Withdrawal Date:The last day to withdraw with a w is Monday, April 8, 2019. It will be strictly enforced.

Course Goals

Course Objectives

• Students should (a) develop greater depth of understanding of integration and its importance in scientific and engineering applications, (b) learn about series, including their convergence properties and their use in representing functions, (c) gain experience in the use of approximation in studying mathematical and scientific problems and the importance of mathematically understanding and evaluating the accuracy of approximations, (d) learn new ways of mathematically representing curves and how to use calculus in these settings, and (e) learn alternative coordinate systems which are natural for many problems and learn how calculus can be applied in these systems.
• Students should gain an appreciation for the importance of calculus in scientific, engineering, computer, and other applications.
• Students should gain experience in the use of technology to facilitate visualization and problem solving.

Course Outcomes

• Students have improved logical thinking and problem-solving skills.
• Students have a greater understanding of the importance of calculus in science and technology.
• Students are prepared for further study in mathematics as well as science, engineering, computing, and other areas.

Course Assessment: The assessment of objectives is achieved through homeworks, quizzes, and common examinations with common grading.

Policies

DMS Course Policies: 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.

Grading Policy: The final grade in this course will be determined as follows:

Quizzes, HW, and MATLAB	16%
Common Midterm Exam I	18%
Common Midterm Exam II	18%
Common Midterm Exam III	18%
Final Exam	30%

Your final letter grade will be based on the following tentative curve.

A	88 - 100	C	66 - 71
B+	83 - 87	D	60 - 65
B	77 - 82	F	0 - 59
C+	72 - 76

Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced. Students are expected to attend class. Each class is a learning experience that cannot be replicated through simply “getting the notes.”

Homework Policy: Homework is a requirement for this class.  Online homework will be completed with MyMathLab, which comes with a new copy of the textbook.  Access to it can also be purchased directly from the website.

Quiz Policy: Quizzes will be given approximately once a week throughout the semester. They will be based on the lecture, homework and the in-class discussions. There will be 8-12 assessments given throughout the semester.

Exams: There will be three common midterm exams held during the semester and one comprehensive common final exam. Exams are held on the following days:

Common Midterm Exam I	February 13, 2019
Common Midterm Exam II	March 13, 2019
Common Midterm Exam III	April 24, 2019
Final Exam Period	May 10 - 16, 2019

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 Math Department's Examination Policy. This policy will be strictly enforced.

Missed Exam Policy: If one common exam is missed with an excused absence from the Dean of Students, then the final exam score will count in the place of the missed exam.

Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:

• http://math.njit.edu/students/policies_exam.php

Mandatory Tutoring Policy: Based upon academic performance indicating a significant gap in understanding of the course material, students may receive a notice of being assigned to mandatory tutoring to assist in filling the gap. A student will have 2 points deducted from the course average for each instance in which the required tutoring is not completed by the stated deadline.

Cellular Phones: All cellular phones and other electronic devices must be switched off and put away during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Spring 2019 Hours)

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.

If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in Fenster Hall Room 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.

For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

• http://www5.njit.edu/studentsuccess/disability-support-services/

Important Dates (See: Spring 2019 Academic Calendar, Registrar)

Date	Day	Event
January 22, 2019	T	First Day of Classes
February 1, 2019	F	Last Day to Add/Drop Classes
March 17 - 24, 2019	Su - Su	Spring Recess - No Classes, NJIT Open
April 8, 2019	M	Last Day to Withdraw
April 19, 2019	F	Good Friday - No Classes, NJIT Closed
May 7, 2019	T	Friday Classes Meet/ Last Day of Classes
May 8 & 9, 2019	W & R	Reading Days
May 10 - 16, 2019	F - R	Final Exam Period

Course Outline

Lecture	Section	Topic	Assignment in MyMathLab	Assignment to Hand-in
1	5.6	Review of Integration, u/du substitution	Section 5.4 #s: 1, 23, 31 Section 5.5 #s: 18, 19, 21, 25, 33, 43, 47, 59 Section 5.6 #s: 27, 29, 39, 53
2	6.1	Volumes Using Cross Sections	5, 9, 17, 19, 23, 30, 33, 37	Section 6.1 #s:  8,10,17,21,25 (for 17,21 & 25 clearly show a sketch of the revolved figure)
3	6.1	Continue Volumes Using Cross Sections	41, 42, 43, 45, 47, 49, 51, 53, 55, 59	Section 6.1 #:  64ab
4	6.2	Volumes Using Cylindrical Shells	3, 5, 9, 11, 17, 19, 21, 25, 29, 33, 48
5	6.3	Arc Length	1, 2, 3, 4, 5, 7, 15, 27
6	6.4	Areas of Surfaces of Revolution	9, 13, 15, 17, 19, 21, 24
7	6.5	Work	3, 5, 6, 7, 8, 9, 11
8	6.5	Work	16, 17, 18, 19, 20	Section 6.5 #s:  4,10,21
9	7.3, 8.1	Basic Integration Formulas (derive derivatives and integrals for sinh(x), cosh(x) from 7.3)	Section 8.1 #s: 5, 9, 10, 15, 27, 33, 37 Section 7.3 #s: 6, 7, 9, 13, 17, 43
10		REVIEW FOR EXAM #1
11	8.2	Integration by Parts	1, 3, 6, 8, 13, 15, 22, 23, 35, 37, 39, 45, 55
12	8.3	Trigonometric Integrals	7, 9, 11, 13, 17, 19, 27, 31, 35, 37, 39, 45, 64, 65, 67
13	8.4	Trigonometric Substitution	5, 7, 11, 17, 19, 23, 29, 35,  41, 43, 57	Section 8.4 #s:  1,12,20,44,49,57
14	8.4/8.5	Continue Trig Substitution & Start Integration by Partial Fractions	Section 8.4:  Continue above assignment Section 8.5: 3, 7, 11, 14, 16, 17, 20
15	8.5	Integration of Rational Functions by Partial Fractions	25, 29, 33, 35, 37, 41	Section 8.5 #s:  9,18,30,39
16	8.7	Numerical Integration	3, 7, 13, 17, 21, 28
MATLAB #1 assigned: DUE MARCH 25TH
17	8.8	Improper Integrals	1, 4, 6, 7, 9, 11, 13, 17, 21, 23, 25, 31
18	8.8	Improper Integrals	39, 43, 45, 51, 57, 59, 63, 65, 67, 71, 73
19	10.1	Sequences	3, 7, 9, 17, 21, 23, 25, 35, 39, 41, 45, 49, 53, 55, 57, 65, 69, 71, 79, 89, 91, 97, 99, 109
20	10.2	Infinite Series	5, 7, 13, 33, 35, 41, 45, 47, 57, 59, 61, 63, 67, 71, 77, 79, 94, 95, 98, 99
21	10.2/10.3	Continue Infinite Series & Start Integral Test	Continue above assignment
22		REVIEW FOR EXAM #2
23	10.3/10.4	Finish Integral Test & start Comparison Tests	No online homework	Section 10.3 #s:  3, 6, 9, 11, 13, 14, 15, 19, 20, 23, 25, 27, 35, 36, 48
24	10.4	Comparison Tests	No online homework	Section 10.4 #s:  1, 4, 5, 12, 18, 19, 21, 23, 28, 31, 33, 34, 36, 37, 38, 41, 45, 47, 56 MATLAB #1 is DUE
25	10.5	Root and Ratio Tests	No online homework	Section 10.5 #s: 2, 7, 9, 18, 19, 20, 34, 37, 43, 45
26	10.6	Alternating Series, Absolute vs. Conditional Convergence	No online homework	Section 10.6 #s:  5, 7, 9, 10, 11, 12, 13, 15, 19, 20, 21, 23, 24, 25
27	10.6	Alternating Series, Absolute vs. Conditional Convergence	No online homework	Section 10.6 #s:  27, 31, 33, 34, 35, 37, 39, 41, 44, 50, 51, 53, 57, 64
28		FLEX DAY:  Use on Series Convergence, Power Series or Taylor Series as needed
29	10.7	Power Series	3, 5, 9, 11, 15, 19, 21, 23, 27
30	10.7	Power Series	Continue above assignment	Section 10.7 #s: 22, 24, 31, 32, 39
31	10.8	Taylor and McLaurin Series	3, 5, 8, 9, 11, 15, 18, 23, 29, 31, 35
MATLAB #2 assigned:  DUE april 26th
32	10.9	Convergence of Taylor Series	1, 9, 10, 13, 17, 19, 22, 25
33	10.9	Convergence of Taylor Series	31, 33, 39, 41, 43, 45, 47, 52, 53
34	10.1	Applications of Taylor Series	23, 25, 29, 31, 35, 39, 45, 49, 55, 61
35	11.1/11.2	Parametrization of Plane Curves & Start Calculus with Parametric Curves	Section 11.1 #s:  1, 3, 5, 7, 9, 16,  19, 39, 31, 33, 35, 37, 41, 49
36		REVIEW EXAM #3
37	11.2	Calculus with Parametric Curves	7, 9, 12, 13, 15, 21, 26, 28, 29, 35	MATLAB #2 is DUE
38	11.3	Polar Coordinates	1, 5, 7, 13, 17, 23, 27, 32, 37, 47, 51, 59, 61, 63
39	11.4	Graphing in Polar Coordinates	No online homework	1, 2, 3, 4, 5, 6, 19 (graph only),  20 (graph only),  21, 23, 25
40	11.5	Areas and Lengths in Polar Coordinates	1, 5, 7, 11, 12, 13, 15, 17
41	11.5	Areas and Lengths in Polar Coordinates	21, 23, 25, 27, 28
42		Catch Up and Review
		FINAL EXAM

Updated by Professor D. Blackmore - 1/15/2019
Department of Mathematical Sciences Course Syllabus, Spring 2019