# Math 111: Calculus IFall 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 limits, differentiation, applications of differentiation, and integration.

Number of Credits: 4

Prerequisites: MATH 110 or placement by performance on standardized entrance examinations.

Course-Section and Instructors

Course-Section Instructor
Math 111-001 Professor M. Bandegi
Math 111-003 Professor M. Michal
Math 111-005 Professor P. Sood
Math 111-009 Professor J. H. Ro
Math 111-011 Professor K. Sullivan
Math 111-013 Professor C. Frederick
Math 111-015 Professor K. Sullivan
Math 111-017 Professor J. H. Ro
Math 111-019 Professor R. Dandan
Math 111-023 Professor N. Khosla
Math 111-025 Professor P. Ward
Math 111-029 Professor A. Oza
Math 111-031 Professor P. Ward
Math 111-103 Professor J. Hayes

Office Hours for All Math Instructors: Fall 2017 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, November 6, 2017. It will be strictly enforced.

## Course Goals

### Course Objectives

• Students should (a) learn about limits and their central role in calculus, (b) learn about derivatives and their relationship to instantaneous rates of change, (c) understand many practical applications of derivatives, (d) gain experience in the use of approximation in studying mathematical and scientific problems, (e) learn about integrals: their origin in the area problem and their relationship to derivatives.
• 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 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:

Diagnostic Assessment: Having a solid background in pre-calculus is a prerequisite for success in calculus. Accordingly, during the first week of the semester, every student will complete a diagnostic assessment of pre-calculus. Students whose outcomes indicate gaps in this material will be assigned additional activities in order to assist in filling these gaps. Students who do not complete the diagnostic assessment and all assigned follow-up activities will have two points deducted from their course average.

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.

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 2.1 Rates of Change and tangents to Curves 1, 5, 9, 13, 25 3
2 2.2 Limit of a Function and Limit Laws 1, 2, 13, 19, 22, 25, 31, 33, 35, 41, 47, 49,  53, 57, 63, 79, 81 32,50,80
3 2.4 One Sided Limits 3, 5, 9, 13, 15, 17, 27, 29, 31, 37, 41 32,34,49
4 2.5 Continuity 3, 5, 7, 15, 17, 21, 25, 27, 29 18,30,32
MATLAB #1 is assigned:  Due on September 29th
5 2.5/2.6 Continue Continuity; start Infinite limits Section 2.5:  35, 37, 39, 41, 43, 45, 49, 55, 61 40,56,57
6 2.6 Limits Involving Infinity; Asymptotes 7, 9, 11, 23, 25, 27, 31, 33, 43, 45, 49, 53, 63, 67, 89, 91, 105 30,79,80,109
7 3.1 Tangents and Derivatives at a Point 11, 13, 15, 17, 21, 35 34
8 3.2 The Derivative as a Function 1, 3.5, 13, 26, 33, 39, 41 32,48,58
9 REVIEW FOR EXAM #1
10 3.3 Differentiation Rules 5, 7, 19, 25, 31, 39, 41, 43, 45 38,40
11 3.3 Differentiation Rules 47, 53, 55, 57, 59, 62, 63, 74 52,60,72
MATLAB #1 is DUE
12 3.4 Derivatives as a Rate of Change 1, 5, 7, 10, 13, 17, 23, 25, 31 18,22
13 3.5 Derivatives of Trig Functions 2, 12, 15, 16, 19, 26, 29, 33, 35, 51, 55, 61, 63 46,60
14 3.6 The Chain Rule 5, 17, 23, 25, 29, 33, 35, 39, 43, 47, 49, 51, 61, 63, 65, 67 46,50,62,66
15 3.6/3.7 Continue Chain Rule; start Implicit Differentiation Section 3.6: 71, 77, 81, 83, 85, 89, 97, 101 88,90
16 3.7/3.8 Continue Implicit Differentiation; start Derivatives of Inverses and Logs Section 3.7: 1, 7, 11, 15, 16, 17, 19, 23, 33, 39, 41 26,40
17 3.8 Derivatives of Inverse and Log Functions 7, 9, 13, 21, 24, 29, 31, 35, 39, 43, 57, 61, 63, 65, 69, 83, 89, 95 36,74,92,98
18 3.9 Inverse Trig Functions 5, 11, 21, 23, 31, 33, 34, 37, 41, 65 36,42,44
19 3.1 Related Rates 7, 11, 15, 17, 21, 23, 25 26
20 3.10/3.11 Continue Related Rates; Start Linearization Section 3.10:  27, 31, 33, 37, 40, 41 32,42
21 3.11/4.1 Continue Linearization and Differentials; start Extreme Values Section 3.11:  5, 11, 13, 19, 31, 35, 41, 51, 53, 59 18,54
22 REVIEW FOR EXAM #2
23 4.1 Extreme Values of Functions 7, 25, 29, 33, 35, 39, 41, 47, 49, 51, 57, 59, 78 54,60
24 4.2 The Mean Value Theorem 3, 4, 5, 6, 11, 13, 16, 21 24
25 4.2/4.3 Continue Mean Value Theorem; Start Monotone Functions and the First Section 4.2: 31, 35, 37, 41, 45, 47, 49, 51, 56 63
Derivative Test
26 4.3/4.4 Continue the First Derivative Test;  start Concavity and Curve Sketching Section 4.3:  11, 13, 21, 29, 37, 41, 43, 51, 63, 75, 77 36,40
27 4.4 Concavity and Curve Sketching 7, 13, 19, 25, 28, 31, 35, 39, 43, 45, 99, 117, 127 52,58,90,94
28 4.5 Indeterminate Forms & L’Hopitals Rule 7, 9, 11, 15, 19, 21, 23, 29, 33, 37, 41, 44, 46, 49 40,48
29 4.5/4.6 Finish L’Hopitals; Start Applied Optimization Section 4.5: 51, 55, 57, 58, 63, 65, 67, 71, 79 60,82
30 4.6 Applied Optimization 4, 7, 9, 11, 12, 14, 23, 29, 44, 45, 57, 62 24,30
31 4.7 Newton’s Method 1, 2, 5, 23 6,16
MATLAB #2 is assigned:  Due on December 1st
32 4.8 Antiderivatives 5, 11, 19, 35, 37, 39, 41, 45, 47, 54, 59, 61, 69, 97, 101, 104, 107, 113, 100 64, 126
33 5.1 Area and Estimating with Finite Sums 1, 5, 8, 9, 11 7
34 5.2 Sigma Notation and Limits of Finite Sums 7, 9, 17, 25, 29, 37, 42, 43, 47 44,50
35 REVIEW FOR EXAM #3
36 5.3 Definite Integral 1, 9, 13, 21, 22, 33, 42, 45 28
37 5.3/5.4 Continue Definite Integrals; start Fundamental Theorem of Calculus Section 5.3:  57, 59, 61, 71, 79, 88 73,74
MATLAB #2 is DUE
38 5.4 Fundamental Theorem of Calculus 7, 9, 13, 15, 21, 23, 27, 30, 41, 47, 53, 55, 57, 60, 61, 63, 77, 79 16,50,64
39 5.5 Indefinite Integrals and Substitution Method 11, 15, 18, 20, 21, 23, 25, 26, 27, 29, 33 32,36
40 5.5/5.6 Finish Indefinite Integrals and Substitution Method; start Substitution and Area Between Curves Section 5.5:  37, 43, 47, 53, 55, 59, 63, 65, 79 38,46,52,56
41 5.6 Substitution and Area Between Curves 3, 12, 17, 19, 27, 29, 33, 39, 53, 66, 71, 77, 83, 87, 93, 97, 99, 102, 115 24,74,90
42 Review for Final
FINAL EXAM

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