MATH 112 Course Syllabus - SPRING 2014

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.

Math 112:  Calculus II

Number of Credits:  4

Course Description:  Topics include integration, applications of integration, series, exponential and logarithmic functions, transcendental functions, polar coordinates, and conic sections. Effective From: Spring 2009.

Math 111 with a grade of C or better or Math 132 with a grade of C or better.

Textbook:  Thomas’ Calculus Early Transcendentals, 12e Media Upgrade (Bundled w/ MML SAK), by Thomas, Weir & Hass. Pub: Addison-Wesley, Pearson Education, Inc. © 2010. ISBN-13:9780321648426; ISBN-10: 0321648420.

Course Website:  MyMathLab - Course Compass

Objectives

1. 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.

2. Students should gain an appreciation for the importance of calculus in scientific, engineering, computer, and other applications.

3. Students should gain experience in the use of technology to facilitate visualization and problem solving.

Outcomes

1. Students have improved logical thinking and problem-solving skills.

2. Students have a greater understanding of the importance of calculus in science and technology.

3. Students are prepared for further study in mathematics as well as science, engineering, computing, and other areas.

Assessment

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

 Math 112-002 Math 112-004 Math 112-006 Math 112-008 Math 112-010 Math 112-012 Math 112-014 Math 112-016 Math 112-018 Math 112-020 Math 112-022 Math 112-024 Math 112-102

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

 ▪ Homework, Quizzes & 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. NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 211, Math 213 or Math 222.

 A 88-100 C 65-71 B+ 83-87 D 60-64 B 77-82 F 0-59 C+ 72-76

Drop Date:  Please note that the University Drop Date March 31, 2014 deadline will be strictly enforced.

Homework:  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 to complete the online assignments you need to have a student access code. Access codes are included with new book that is bundled with MyMathLab; they can also be obtained by purchasing the code separately 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 homework 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.

Quizzes: 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.

Attendance Policy:  Day sections of Math 112 meet 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.

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.

Examinations:  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: February 12, 2014 Exam 2: March 12, 2014 Exam 3: April 23, 2014 Final Exam Week: May 8-14, 2014

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 Examination 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 at the Math Tutoring Center on the second floor of Cullimore Hall and at CAPE.

Cellular Phones:  All cellular phones and other electronic devices 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.

 M Dr. Martin Luther King, Jr. Day ~ University Closed Su-Su Spring Recess ~ No Classes Scheduled ~ University Open M Last Day to Withdraw from this course F Good Friday ~ University Closed T Classes follow a Friday Schedule W Reading Day R-W Final Exams

Course Outline and Homework Assignments:

 Week Dates Section & Topic Lecture and Homework Assignments 1  1/21 - 1/24 6.1: Volumes Using Cross-Sections 1 p.371: 5,9,10*,15,17,21,28,31,35,36* 6.1: Volumes Using Cross-Sections (cont.) 2 p.371: 39,43,45,47,49,51,52*,53,57 6.2: Volumes Using Cylindrical Shells 3 p.379: 3,5,9,11,17,19,21,25,29,33,42*,47*,48* 2 1/27– 1/31 6.3: Arc Length 4 p.386: 1,2,3,5,7,9,21,22* 6.4: Areas of Surfaces of Revolution 5 p.391: 9,13,15,17,19,21,24,32* 6.5: Work 6 p.398: 3,5,6,7,8*,9,13,15,17,18,19* 3 2/3– 2/7 7.3: Hyperbolic Functions 7 p.441: 1,7,9,15,17,21,23,43,45,47,49,53,55,57, 80*,81 8.1: Integration by Parts 8 p.459: 4,5,11,13,23,27,28*,29,33,35,37,38*,45, 46*,47,51*,53 8.2: Trigonometric Integrals 9 p.466: 5,9,11,17,19,21,27,31,35,37,39,45,63*, 64*,65*,67,71 4 2/10 – 2/14 Å REVIEW FOR EXAM I ~ 02/12/2014 10 Å Study for EXAM I Common Exam 1:  Wednesday,  February 12, 2014 8.3: Trigonometric Substitution 11 p.470: 1,3,5,7,15,17,19,20*,21 Å GO OVER EXAM 1 8.3: Trigonometric Substitution (cont.) 12 p.470: 12*,23,29,31,35,37,39,41,43,44*,53,57* 5 2/17– 2/21 8.4: Integration of Rational Functions by Partial Fractions 13 p.479: 3,6,7,9,13,14,17,18*,19 8.4: Integration of Rational Functions by Partial Fractions (cont.) 14 p.479: 23,25,27,29,30*,31*,33,35,38*,39,45,55 Å Å DUE ON 3/5/14 8.6: Numerical Integration 15 p.493: 3,7,13,17,21,28 6  2/24- 2/28 8.7: Improper Integrals 16 p.505: 1,4,6,7,9,11,13,16*,17,21,23,25,28*,31 8.7: Improper Integrals (cont.) 17 p.505: 35,39,41,47,53,54*,55,59,61,63,64*,67, 69,71* 10.1: Sequences 18 p.559: 3,7,9,15,17,21,23,25,31,35,37,41,45,48*, 49,50*,51 7  3/3 – 3/7 10.1: 10.2: Sequences (cont.) and Infinite Series 19 p.559: 53,61,67,69,70*,73,74*,79,80*,81,87,89,99 10.2: Infinite Series 20 p.569: 3,5,7,13,25,29,31,37,41,43,53,55,59,61, 63*,64*,65,69,71 and MATLAB 1 is due 10.3: The Integral Test 21 p.575: 3,6,9,11,13,19,20*,23,25,27,29,33,34*,35,36*,49,51 8 3/10 – 3/14 Å REVIEW FOR EXAM II ~ 3/12/2014 22 Å Study for EXAM II COMMON EXAM 2:  WEDNESDAY, MARCH 12, 2014 10.4: Comparison Tests 23 p.580: 1,3,4*,5,19,21,25,27 Å GO OVER EXAM 2 10.4: 10.5: Comparison Tests (cont.) and The Ratio and Root Tests 24 p.580: 23,28,31,32,34,35,36*,37,40*,41,46*,47,51 3/16 - 3/23 Spring Break ~ No Classes Scheduled 9 3/24 – 3/28 10.5: The Ratio and Root Tests (cont.) 25 p.585: 5,7,9,13,18,19,21,29,31,35,38*,42,55,56*,57,58*,59 10.6: Alternating Series, Absolute and Conditional Convergence 26 p.591: 1,7,9,10,11,12*,13,15,19,21,23,24*,25 10.6: Alternating Series, Absolute and Conditional Convergence (cont.) 27 p.591: 27,30*,34,35,37,39,42*,44,47,50*,51,53 10 3/31 - 4/4 10.7: Power Series 28 p.600: 3,5,9,11,15,19,21,22*,23,24*,27 ◘       march 31, 2014:  (M)  LAST DAY TO WITHDRAW FROM THIS COURSE 10.7: Power Series (cont.) 29 p.600: 31,32*,37,41,43,47,49,51* 10.8: Taylor and Maclaurin Series 30 p.606: 3,5,8,9,11,15,18,23,29,31,34*,35 11 4/7 – 4/11 10.9: Convergence of Taylor Series 31 p.613: 1,9,10,11,13,16*,19,21,25,26* Å Å DUE ON 4/16/14 10.9: 10:10: Convergence of Taylor Series (cont.) and The Binomial Series and Applications of Taylor Series 32 p.613: 29,31*,35,36*,37,39,41,43,48*,49 10.10: The Binomial Series and Applications of Taylor Series (cont.) 33 p.620: 1,3,5,13,23,25,26*,29,31,35,39,40*,45,49,55,61 12 4/14 – 4/17 11.1: Parametrizations of Plane Curves 34 p.634: 1,3,5,7,9,12*,16 11.1: 11.2: Parametrizations of Plane Curves (cont.) and Calculus with Parametric Curves 35 p.634: 20,21,25,27,31,32*,33,39,40* and MATLAB 2 is due ◘       april 18, 2014:  (F)  Good Friday ~ No Classes Scheduled 13 4/21 – 4/25 Å REVIEW FOR EXAM III ~ 4/23/2014 36 Å Study for EXAM III COMMON EXAM 3:  WEDNESDAY, APRIL 23, 2014 11.2: Calculus with Parametric Curves (cont.) 37 p.643: 7,9,12,13,15,14*,21,26,28,29,31,33,35,47* Å GO OVER EXAM 3 11.3: Polar Coordinates 38 p.648: 1,5,7,13,17,23,27,32,37,38*,42*,47,51,59,60,61 14 4/28 – 5/2 11.4: Graphing in Polar Coordinates 39 p.652: 1,7,9,13,17,18*,19,25,27 11.5: Areas and Lengths in Polar Coordinates 40 p.656: 1,7,10*,11,13,15,17 11.5: Areas and Lengths in Polar Coordinates (cont.) 41 p.656: 21,23,24*,27,28 15 5/5 – 5/6 Å REVIEW FOR FINAL EXAM 42 Å Study for FINAL EXAM ◘        may 6, 2014:  (T)  Classes Follow a  Friday Schedule Finals FINAL EXAM WEEK:  may 8-14, 2014

Prepared By:  Prof. David Horntrop

Last revised:  January 6, 2014