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Math 112: Calculus II
Fall 2017 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 112-001 Professor V. Barreto-Aranda
Math 112-003 Professor R. Kelly
Math 112-005 Professor V. Barreto-Aranda
Math 112-009 Professor R. Kelly
Math 112-011 Professor J. Zaleski
Math 112-013 Professor J. Porus
Math 112-017 Professor J. Zaleski
Math 112-019 Professor D. Schmidt
Math 112-023 Professor N. Tsipenyuk
Math 112-029 Professor N. Tsipenyuk
Math 112-101 Professor P. Ward
Math 112-103 Professor J. H . Ro

Office Hours for All Math Instructors: Fall 2017 Office Hours and Emails

Required Textbook:

Title Thomas' Calculus: Early Transcendentals
Author Thomas
Edition 13th
Publisher Pearson
ISBN # 978-0321981677
Notes w/ MyMathLab

University-wide Withdrawal Date:The last day to withdraw with a w is Monday, November 6, 2017. It will be strictly enforced.

Course Goals

Course Objectives

Course Outcomes

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 15%
Common Midterm Exam I 15%
Common Midterm Exam II 20%
Common Midterm Exam III 20%
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.

MATLAB Assignments: MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Two MATLAB assignments will be given during the semester; tutors are available to help students having difficulties in accordance with a posted schedule.

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 September 27, 2017
Common Midterm Exam II October 25, 2017
Common Midterm Exam III November 29, 2017
Final Exam Period December 15 - 21, 2017

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.

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:

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 during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Fall 2017 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:

Important Dates (See: Fall 2017 Academic Calendar, Registrar)

Date Day Event
September 5, 2017 T First Day of Classes
September 11, 2017 M Last Day to Add/Drop Classes
November 6, 2017 M Last Day to Withdraw
November 21, 2017 T Thursday Classes Meet
November 22, 2017 W Friday Classes Meet
November 23 - 26, 2017 R - Su Thanksgiving Break - University Closed
December 13, 2017 W Last Day of Classes
December 14, 2017 R Reading Day
December 15 - 21, 2017 F - R Final Exam Period

Course Outline

Lecture Section Topic Assignment in MyMathLab Assignment to Hand-in
1 6.1 Volumes Using Cross Sections 5, 9, 15, 17, 21, 28, 31, 35 10, 36
2 6.1 Volumes Using Cross Sections 39, 43, 45, 47, 49, 51, 53, 57 52
3 6.2 Volumes Using Cylindrical Shells 3, 5, 9, 11, 17, 19, 21, 25, 29, 33 42, 47, 48
4 6.3 Arc Length 1, 2, 3, 4, 5, 7, 13, 25 26
5 6.4 Areas of Surfaces of Revolution 9, 13, 15, 17, 19, 21, 24 32
6 6.5 Work 3, 5, 6, 7, 9, 13, 15, 17, 18 8, 19
7 7.3 Hyperbolic Functions 1, 7, 9, 15, 17, 21, 23, 43, 45, 47, 49, 53, 55, 57, 81 80
8 8.1/8.2 Using Basic Integration Formulas; start Integration by Parts Section 8.1:  3, 5, 9, 10, 13, 15, 27, 33, 36, 38 34, 43
9 8.2/8.3 Finish Integration by Parts; start Trigonometric Integrals Section 8.2:  3, 5, 11, 13, 23, 27, 29, 33, 35, 37, 39, 45, 47, 55 28, 38, 46, 53
10 REVIEW FOR EXAM #1
11 8.3/8.4 Finish Trigonometric Integrals; start Trigonometric Substitution Section 8.3:  7, 9, 11, 17, 19, 21, 27, 31, 35, 37, 38, 39, 45, 65, 71 63, 64, 68
12 8.4 Trigonometric Substitution 1, 5, 7, 11, 17, 19, 23, 29, 35, 37, 39, 41, 43, 53 12, 20, 44, 57
13 8.5 Integration of Rational Functions by Partial Fractions 3, 7, 9, 11, 14, 16, 17, 19 18
14 8.5 Integration of Rational Functions by Partial Fractions 23, 25, 27, 29, 33, 35, 39, 41, 45, 55 30, 31, 38
15 8.7 Numerical Integration 3, 7, 13, 17, 21, 28 Matlab Assignment
MATLAB #1 assigned:  DUE OCTOBER 30TH
16 8.8 Improper Integrals 1, 4, 6, 7, 9, 11, 13, 17, 21, 23, 25, 31 16, 28
17 8.8 Improper Integrals 35, 39, 41, 47, 53, 55, 59, 61, 63, 67, 69 54, 64, 71
18 10.1 Sequences 3, 7, 9, 15, 17, 21, 23, 25, 31, 35, 37, 41, 45, 49, 51 48, 50
19 10.1/10.2 Finish Sequences; start Infinite Series Section 10.1:  53, 61, 65, 67, 69, 79, 81, 87, 89, 99 70, 74, 80
20 10.2 Infinite Series 3, 5, 7, 13, 25, 29, 31, 37, 41, 43, 53, 55, 59, 61, 65, 69, 71 63, 64
21 10.3  Integral Test 3, 6, 9, 11, 13, 19, 23, 25, 27, 29, 33, 35, 49, 51 20, 34, 36
22 REVIEW FOR EXAM #2
23 10.4 Comparison Tests 1, 5, 18, 19, 21, 23, 25 4
24 10.4 Finish Comparison Tests; start Ratio and Root Tests Section 10.4:  28, 31, 32, 34, 37, 39, 41, 43, 47, 51, 56 36, 40, 46
25 10.5 Ratio and Root Tests 5, 7, 9, 18, 19, 21, 29, 31, 35, 42, 55, 57, 59, 66 38, 56, 58
26 10.6 Alternating Series, Absolute vs. Conditional Convergence 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 25 12, 24
27 10.6 Alternating Series, Absolute vs. Conditional Convergence 27, 34, 35, 37, 39, 41, 44, 47, 51, 53 30, 42, 50
28 10.7 Power Series 3, 5, 9, 11, 15, 19, 21, 23, 27 22, 24
29 10.7 Power Series 31, 37, 41, 43, 45, 53, 54 32, 55
30 10.8 Taylor and Maclaurin Series 3, 5, 8, 9, 11, 15, 18, 23, 29, 31, 35 34
31 10.9 Convergence of Taylor Series 1, 9, 10, 11, 13, 19, 20, 25 16, 26
MATLAB #2 assigned:  DUE DECEMBER 1ST
32 10.9/10.10 Finish Convergence of Taylor Series; start Binomial Series Section 10.9:  29, 35, 37, 39, 41, 43, 49 31, 36, 48
33 10.1 Binomial Series and Applications of Taylor Series 1, 3, 5, 13, 23, 25, 29, 31, 35, 39, 45, 49, 55, 61 26, 40
34 11.1 Parametrizations of Plane Curves 1, 3, 5, 7, 9, 16 12
35 REVIEW FOR EXAM #3
36 11.1/11.2 Finish  Parametrization of Plane Curves; start Calculus with Parametric Curves Section 11.1  19, 21, 25, 27, 31, 33, 39 32, 40
37 11.2 Calculus with Parametric Curves 7, 9, 12, 13, 15, 21, 26, 28, 29, 31, 33, 35 14, 47
MATLAB #2 is DUE
38 11.3 Polar Coordinates 1, 5, 7, 13, 17, 23, 27, 32, 37, 47, 51, 59, 60, 61 38, 42
39 11.4 Graphing in Polar Coordinates 1, 7, 9, 13, 17, 19, 25, 27 18
40 11.5 Areas and Lengths in Polar Coordinates 1, 7, 11, 13, 15, 17 10
41 11.5 Areas and Lengths in Polar Coordinates 21, 23, 27, 28 24
42 Review for Final
FINAL EXAM

Updated by Professor D. Blackmore - 8/31/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017