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Math 112: Calculus II
Summer 2018 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 112-031 Professor J. Hayes
Math 112-032 Professor M. Potocki-Dul
Math 112-131 Professor J. Hayes

Office Hours for All Math Instructors: Summer 2018 Office Hours and Emails

Required Textbook:

Title Thomas' Calculus: Early Transcendentals
Author Thomas
Edition 14th
Publisher Pearson
ISBN # 978-0134768496 (bound)
9780134768762 (looseleaf)
Notes w/ MyMathLab

Withdrawal Date: Please see the Summer 2018 Academic Calendar for the last day to withdraw based on the summer session you are registered for.

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:

Homework and Quizzes 15%
Common Midterm Exam I 25%
Common Midterm Exam II 25%
Final Exam 35%

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

A 88 - 100 C 65 - 71
B+ 83 - 87 D 60 - 64
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.

Homework Policy: Calculus is learned by solving problems.  In Math 112, there are two kinds of homework assignments:  1) assignments which are written out by hand and turned in, and 2) assignments which are completed online.  The homework assignments are listed on the syllabus; the * superscript denotes those problems which constitute the hand-in assignments while the remaining problems constitute the online assignments.

The online assignments can be completed at www.mymathlab.com or www.coursecompass.com.  In order access the online assignments you need to have a student access code. Access codes are included with new book that is bundled with MyMathLab; codes can be purchased separately from the textbook at the campus bookstore or online at the course website. If you buy a new book from another source make sure it is bundled with MyMathLab. In addition, on the first day of class your course instructor will give you an additional code needed to access the online assignments. NOTE: Homework Assignments are DUE frequently (at least weekly) at the dates and times specified online and by your instructor.

How to Get Started with MyMathLab:

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 are given in class on a frequent basis (at least weekly). All of the quizzes will be graded. The homework and quizzes are intended to develop your problem-solving skills and to help you prepare for the exams.

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

Common Midterm Exam I June 20, 2018
Common Midterm Exam II July 18, 2018
Final Exam August 6, 2018

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:

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, Room G11 (Summer Hours: TBA)

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.  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: Summer 2018 Academic Calendar, Registrar)

Date Event
May 21, 2018 First Day of Classes
May 22, 2018 Last Day to Add/Drop Classes
May 28, 2018 University Closed for Memorial Day
June 25, 2018 Last Day of First Summer Session
July 4, 2018 University Closed for Independence Day
July 16, 2018 Last Day of Middle Summer Session
August 6, 2018 Last Day of Full and Second Summer Sessions

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, 20, 21, 25, 33, 43, 47, 59
Section 5.6 #s: 27, 29, 37, 53
2 6.1 Volumes Using Cross Sections 1, 5, 9, 17, 19, 23, 30, 33, 37, 41, 45, 47, 49, 51, 53, 55, 59 10, 38, 54
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, 15, 27 13, 28
5 6.4 Areas of Surfaces of Revolution 9, 13, 15, 17, 19, 21, 24 32
6 6.5 Work 1, 5, 7, 8, 9, 11, 15, 17, 19, 20 10, 21
7 7.3 Hyperbolic Functions 2, 7, 9, 15, 17, 23, 43, 45, 47, 49, 53, 55, 57, 81 80
8.1 Using Basic Integration Formulas  3, 5, 9, 10, 13, 15, 27, 33, 36, 38 34, 37
8 8.2 Integration by Parts 3, 5, 11, 13, 23, 27, 29, 33, 35, 37, 39, 45, 47, 59 28, 38, 46, 57
9 8.3 Trigonometric Integrals 7, 9, 11, 17, 19, 21, 27, 31, 35, 37, 38, 39, 45, 65, 71 63, 64, 68
10 8.4 Trigonometric Substitution 1, 5, 7, 11, 17, 19, 23, 29, 35, 37, 39, 41, 43, 47, 43, 53 12, 20, 44, 50
11 8.5 Integration of Rational Functions by Partial Fractions  3, 7, 11, 14, 16, 17, 19, 23, 25, 27, 29, 33, 35, 39, 41, 45, 55 18, 30, 31, 38
12 8.7 Numerical Integration   3, 7, 13, 17, 21, 28
13 8.8 Review For Exam 1
14 Exam 1: 6/20/18
15 8.8 Improper Integrals  1, 4, 6, 7, 9, 11, 13, 17, 21, 23, 31, 33, 39, 43, 45, 51, 55, 57, 59, 63, 65, 67, 71, 73 16, 28, 58, 68, 75
16 10.1 Sequences 3, 7, 9, 15, 17, 21, 23, 25, 35, 39, 41, 45, 49, 53, 55, 57, 65, 69, 71, 79, 89, 91, 97, 99, 109 52, 54
17 10.2 Infinite Series 3, 5, 7, 13, 29, 33, 35, 41, 45, 47, 57, 59, 63, 65, 69, 77, 79, 98 74, 80, 84, 90, 67, 68
18 10.3 Integral Test  3, 6, 9, 13, 15, 21, 27, 29, 31, 33, 35, 37,  55, 57 22, 36, 38
19 10.4 Comparison Tests 1, 5, 18, 19, 21, 23, 25, 28, 31, 32, 34, 37, 39, 41, 43, 47, 51, 58 36, 40, 46
20 10.5 Root and Ratio Tests 5, 7, 9, 18, 19, 21, 29, 31, 35, 42, 57, 59, 61, 70 38, 58, 60
21 10.6 Alternating Series, Absolute vs. Conditional Convergence 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 25, 27, 34, 35, 37, 39, 41, 44, 47, 51, 53, 63, 71, 73 12, 24, 30, 42, 50
22 10.7 Power Series 3, 5, 9, 11, 15, 19, 21, 23, 27, 31, 37, 39, 43, 45, 53, 54 22, 24, 32, 55
23 10.8 Taylor and McLaurin Series 3, 5, 8, 9, 11, 15, 18, 25, 31, 33, 37 36
24 10.9 Convergence of Taylor Series 1, 9, 10, 13, 15, 21, 22, 27, 31, 39, 41, 43, 45, 47, 53 18, 28, 33, 40.52
25  Review for Exam II
26  Exam II: 7/18/18 
27 10.1 Applications of Taylor Series 1, 3, 5, 13, 23, 25, 29, 31, 35, 39, 45, 49, 55, 61 26, 40
28 11.1 Parametrization of Plane Curves 1, 3, 5, 7, 9, 16, 29, 31, 35, 37, 41, 43, 49 12, 42, 50
29 11.2 Calculus with Parametric Curves 7, 9, 12, 13, 15, 21, 26, 28, 29, 31, 33, 35  14, 47
30 11.3 Polar Coordinates 1, 5, 7, 13, 17, 23, 27, 32, 37, 47, 51, 59, 60, 61 38, 42
31 11.4 Graphing in Polar Coordinates 1, 7, 9, 13, 17.19, 29, 31 18
32 11.5 Areas and Lengths in PolarCoordinates 1, 7, 11, 13, 15, 17, 21, 23, 27, 28 10, 24
33 CATCH UP AND REVIEW
FINAL EXAM: 8/6/18

Updated by Professor J. Hayes - 5/22/2018
Department of Mathematical Sciences Course Syllabus, Summer 2018