MATH 111 Course Syllabus - sUMMER 2012

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.

 

 Math 111:  Calculus I

Number of Credits:  4

 

Course Description:  Topics include limits, differentiation, applications of differentiation, and integration. Effective From: Spring 2009.

Prerequisites:  Math 109 or Math 110 with a grade of C or better -or- placement by performance on standardized entrance examinations.

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: 978-0321-62718; ISBN-10: 0-321-62718-0. The NJIT bookstore offers both a hardcover and a binder-ready version of the textbook. Either book is acceptable.

Math Tutoring Help (click here)

Course Website:  MyMathLab - Course Compass

Goals:

  • To enhance student understanding of the concept of limits.

  • To enhance student understanding of the concept of instantaneous rate of change and how to compute it.

  • To enhance student ability to solve problems involving application of the limits concepts, including related rates, sketching and optimization problems.

  • To enhance student understanding of the relationship between derivatives and integrals and relations between slope and area.

  • To enhance student proficiency in communicating their understanding of Calculus concepts

 

Objectives:

  • Students will have over 40 hours of instruction on topics such as limits, instantaneous slope, derivatives, applications of derivatives, fundamental theorem of Calculus, integration and related topics.

  • Students will participate more than 10 hours of recitations/problem solving sessions on the topics of Calculus 1.

  • Students will use mathematical software to solve a number of problems and write up the results.

  • Students will solve several hundred problems concerning Calculus 1 topics.

 

Outcomes:

  • Students will demonstrate mastery of topics such as limits, derivatives, applications of derivatives, fundamental theorem of Calculus, integration and related topics by solving problems and showing the solutions clearly on 3 common written exams and on approximately 10 quizzes.

  • Students will demonstrate mastery of topics such as limits, derivatives, applications of derivatives, fundamental theorem of Calculus, integration and related topics by solving problems and presenting solution methods clearly on a written Final Exam

  • Students will demonstrate ability to develop creative solutions and apply principles of Calculus to real problems in the sciences, engineering, finance and/or other real world environments.

 

Instructor:   (for specific course-related information, follow the link below)

  Math 111-033     Prof. Agrawal
  Math 111-034     Prof. Sabat
  Math 111-131     Prof. Hayes

 

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

Homework, Quizzes & MATLAB:

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. NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 112.

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 July 12, 2012 deadline will be strictly enforced.

Attendance Policy:  Math 111 meets three 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.

Homework Policy: There are two kinds of homework assignments: 1) online homework assignments on MyMathlab, which are listed in the syllabus, and 2) assignments that will be handed in to instructors. The MyMathlab assignments can be found online at www.mymathlab.com or www.coursecompass.com. In order to complete these assignments, you need to have a student access code. Access codes are included with a 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. The homework problems to be handed in can be found at m.njit.edu/~bukiet/M111/Math111-Fall-2011-HW.doc. Your instructor will tell you when to submit each problem set. NOTE: Homework assignments are DUE frequently (at least weekly) at the dates and times specified on the course website or by the instructors. 

   How to get started with MyMathLab:

How to enroll in a new course flyer

       http://m.njit.edu/Undergraduate/UG-Files/MML_GettingStarted.pdf

       http://m.njit.edu/Undergraduate/UG-Files/NJIT-MML-studentregistration.pdf

MATLAB Assignments:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Three 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.

Examinations:  There will be two 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:

June 13, 2012

Exam 2:

July 9, 2012

Final Exam:

August 6, 2012


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, MP3 or CD players, etc.) are not allowed during any exam.

Makeup Exam 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 in the math learning center.

Cellular Phones:  All cellular phones and beepers must be switched off during all class times.


 

MATH DEPARTMENT CLASS POLICIES LINK 

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.

May 21, 2012

M

Full Summer Session Begins

May 23, 2012

W

Last Day To Register For Full Semester Course

May 28, 2012

M

Memorial Day ~ University Closed

July 4, 2012

W

July 4th Holiday ~ University Closed

July 12, 2012

R

Last Day To Withdraw  from Full Semester Course

August 6, 2012

M

Full Summer Session Ends

August 6, 2012

M

Final Exam


Course Outline:

Lecture

Sections

Topic

Online assignments – a link is provided above to additional homework problems that students will hand in to the instructors

1

2.1

Rates of change and tangents to curves

1,5,9,21

2

2.2

Limit of a function and limit

laws

1,3,11,15,19,23,27,35,37,43,49,53,63,79,81

3

2.4

2.5

One-sided limits

Continuity

1,5,13,15,17,21,25,37,39,52

1,13,19,27,29,35,39,43,47,53,57       

4

2.6

Limits involving infinity; asymptotes of graphs

1,3,7,11,17,19,23,29,35,43,49,57,

67,81,101

5

3.1

 

3.2

Tangents and Derivative at a Point

Derivative as a function

5,7,13,29,33,37                                              

3,11,18,23,27,3.1.23,3.1.25,31,33,37,41,47,53

6

3.3

Differentiation Rules

1,7,11,13,17,31,39,41,53,57,72

7

3.4

Derivative as a rate of change

1,3,7,13,15,19,23,25,28                                 

8

3.5

Derivatives of trigonometric functions

3,15,25,27,31,35,47,49,53,59,61       

9

3.6

Chain Rule

1,7,9,21,23,29,35,41,55,61,73,89,

95       

           

10

3.7

Implicit Differentiation Review for exam

1,15,19,25,29,39,47

11

MIDTERM EXAM 1

           

12

3.8

Derivatives of Inverse Functions and Logarithms

7,11,13,21,24,29,37,41,51,65,89,

95

13

3.9

Inverse Trigonometric functions

1,3,7,9,11,13,23,25,33,49

14

3.10

Related rates

1,5,13,21,23,25

27,29,31,37,40,43

15

3.11

Linearization and Differentials

1,11,13,19,23,43,45,51,53,57

16

4.1

Extreme values of functions

1,3,13,21,31,35,51,53,63,69,75,85,86

17

4.2

Mean Value Theorem

1,4,13,16,21,25,31,33,37,41,43,49,51,56,63,73

18

4.3

Monotonic functions and the first derivative test

1,7,13,15,21,33,43,49,59,67,73,78

19

4.4

Concavity and curve sketching

1,5,9,19,23,29,37,41

20

4.4

Concavity and curve sketching (cont’d)

43,51,59,71,81,103,111,121

21

 

Review for exam

 

22

 

MIDTERM EXAM 2

 

23

4.5

Indeterminate forms and L’hopital’s rule

1,5,11,13,17,27,29,41,42,46,51,58,71,75,81,85

24

4.6

Applied optimization

1,3,5,7,11,12,14,27,37,38,39,57

25

4.7

Newton’s Method

1,3,5,19,25

26

4.8

Antiderivatives

1,5,11,13,15,25,41,53,55,61,89,91,97,101,104,105,113,119,121,127

27

5.1

Area and estimating with finite sums

1,9,13,15,19

28

5.2

 

5.3

Sigma notation and limits of finite sums

The Definite Integral

1,5,7,9,15,17,25,33,39,41

 

1,7,9,13,15,22,29,41,51,59,64,71,

75,79

29

5.4

Fundamental Theorem of Calculus

1,8,13,17,23,41,45,47,51,59,61,65,69,75,77,81,83

30

5.5

Indefinite integrals and substitution

1,7,11,17,19,21,25,33,43,47,55,61,71           

31

5.6

Substitution and area between curves

1,9,17,27,39,47,51,55,63,73,75,87,105,107,113                   

32

Review

33

Final Exam


 

Prepared By:  Prof. Jimmy Hayes

Last revised: April 24, 2012

 

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