Math 111H: Calculus I
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 enhance those of Math 111 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009.

Number of Credits: 4

Prerequisites: Admission to this course is by invitation, based on standardized entrance exams.

Course-Section and Instructors

Course-Section	Instructor
Math 111-H01	Professor J. Bechtold
Math 111-H03	Professor D. Shirokoff

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
Notes	w/ MyMathLab - Course Compass

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:

Written Homework	7%
Online Homework	8%
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	85 - 100	C	65 – 69
B+	80 – 84	D	60 – 64
B	75 – 79	F	0 - 59
C+	70 – 74

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. Day sections of Math 111H meet four times a week; there are three lectures and one recitation. Recitation classes provide an additional opportunity for you to seek help with homework and concepts taught in class.

Homework Policy: Homework is an expectation of the course. All homework is listed, by section, below. On line homework will be in My Math Lab sections listed will be in conjunction with your text.

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:

• 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 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:

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

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
1	2.1	Rates of Change and tangents to Curves	1, 3, 5, 9, 13, 21
2	2.2	Limit of a Function and Limit Laws	1, 13, 19, 22, 25, 31, 33, 35, 41, 47, 49, 53, 57, 63, 79, 81
3	2.3	The Precise Definition of a Limit	p.84: 17, 21, 23, 35, 43
	2.4	One Sided Limits	3, 5, 9, 13, 15, 17, 25, 27, 29, 35, 39
4	2.5	Continuity	3, 5, 7, 15, 17, 19, 21, 25, 27, 29
5	2.5/2.6	Continue Continuity; Start Infinite limits	Section 2.5:  33, 35, 37, 39, 41, 43, 47, 53,  55, 59
6	2.6	Limits Involving Infinity; Asymptotes	9, 11, 23, 25, 27, 31, 33, 43, 45, 49, 53, 81
7	3.1	Tangents and Derivatives at a Point	11, 13, 15, 17, 21, 35
8	3.2	The Derivative as a Function	No online homework
9		REVIEW FOR EXAM #1
10	3.3	Differentiation Rules	3, 5, 7, 17, 19, 25, 31, 33, 35, 39, 41, 43, 45
11	3.3	Differentiation Rules	53, 55, 57, 61, 63, 65
12	3.4	Derivatives as a Rate of Change	1, 5, 7, 10, 13, 17, 18, 23, 25, 31
13	3.5	Derivatives of Trig Functions	2, 12, 15, 16, 19, 26, 29, 33, 49, 53, 59, 61
14	3.6	The Chain Rule	17, 23, 25, 29, 35, 39, 43, 47, 49, 51, 65
15	3.6/3.7	Continue Chain Rule and start Implicit Differentiation	Section 3.6: 71, 77, 79, 81, 83, 89, 95, 99
16	3.7/3.8	Continue Implicit Differentiation and start Derivatives of Inverses and Logs	Section 3.7: 1, 7, 11, 15, 17, 19, 23, 31, 37, 39, 47
17	3.8	Continue Derivatives of Inverse and Log Functions	7, 9, 13, 19, 21, 24, 29, 31, 35, 39, 43, 57, 61, 63, 65, 69, 83, 89, 93, 95
18	3.9	Inverse Trig Functions	3, 5, 11, 21, 23, 25, 33, 34, 35, 41, 47
19	3.1	Related Rates	7, 11, 15, 17, 20, 21, 23, 25
20	3.1	Related Rates	27, 31, 32, 33, 37, 40, 41
21		REVIEW FOR EXAM #2
22	3.11	Linearization and Differentials	5, 11, 13, 19, 31, 35, 41, 51, 53, 59
23	4.1	Extreme Values of Functions	25, 29, 33, 39, 47, 49, 51, 61, 63, 65, 67, 86
24	4.2	The Mean Value Theorem	3, 4, 6, 11, 13, 16, 21, 31, 35, 37, 41, 51
25	4.3	Monotone Functions and the First Derivative Test	1, 11, 21, 29, 37, 43, 49, 71, 73
26	4.4	Concavity and Curve Sketching	No online homework
27	4.4/4.5	Continue Curve Sketching	No online homework
28	4.5	Indeterminate Forms & L’Hopitals Rule	7, 9, 11, 15, 19, 21, 23, 29, 33, 37, 41, 44, 46, 49
29	4.5/5.6	Finish L’Hopitals; Start Applied Optimization	Section 4.5: 51, 55, 57, 58, 63, 65, 67, 71, 79
30	4.6	Applied Optimization	4, 7, 9, 11, 12, 14, 23, 24, 29, 31, 38, 39, 51, 56
31	4.7	Newton’s Method	1, 2, 4, 5, 19
32	4.8	Antiderivatives	5, 11, 19, 35, 37, 39, 41, 45, 47, 59, 61, 69, 97, 101, 104, 107, 113, 123
33	5.1	Area and Estimating with Finite Sums	No online homework
34	5.2	Sigma Notation and Limits of Finite Sums	7, 9, 17, 25, 29, 33, 38, 39, 40*, 43, 46*
35		REVIEW FOR EXAM #3
36	5.3	Definite Integral	1, 9, 13, 21, 22, 33, 42, 45, 47, 49
37	5.3/5.4	Continue Definite Integrals & Start Fundamental Thm of Calculus	Section 5.3:  57, 59, 61, 71, 79, 88
38	5.4	Fundamental Theorem of Calculus	7, 9, 13, 15, 16*, 21, 23, 27, 30, 41, 47, 50*, 53, 55,  57, 60, 61, 63, 64*, 75, 77
39	5.5	Indefinite Integrals and Substitution Method	11, 15, 18, 20, 21, 23, 25, 26, 27, 29, 33
40	5.5	Indefinite Integrals and Substitution Method	No online homework
41	5.6	Area Between Curves	3, 11, 17, 19, 27, 29, 33, 39, 51, 64, 69, 75, 81, 85, 91, 95, 97, 100, 113
42		CATCH UP AND REVIEW
		FINAL EXAM

Updated by Professor D. Shirokoff - 9/1/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017