MATH 111H Course Syllabus - fall 2011

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:  Honors Calculus I

Number of Credits:  4

 

Course Description:  Topics enhance those of Math 111 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009

Prerequisites:  Admission to this course is by invitation, based 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. 

Course Website:  MyMathLab - Course Compass

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

Math 111-H01

Prof. Bose

Math 111-H03

Prof. Rotstein

 

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

Homework, Quizzes, Projects & Class Participation:

16%

Common Midterm Exam I:

18%

Common Midterm Exam II:

18%

Common Midterm Exam III:

18%

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 112.

A

90-100

C

70-74

B+

85-89

D

60-69

B

80-84

F

0-59

C+

75-79

 

 


 

Drop Date:  Please note that the University Drop Date November 3, 2011 deadline will be strictly enforced.

Attendance Policy:  Math 111 meets 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.

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 math.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 first class of the following week (recitation).

   How to get started with MyMathLab:

       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 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:

September 21, 2011

Exam 2:

October 26, 2011

Exam 3:

November 16, 2011

Final Exam Week:

December 14-20, 2011


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.

September 5, 2011

M

Labor Day Holiday ~ University Closed

November 3, 2011

R

Last Day to Withdraw from this course

November 24-27, 2011

R-Su

Thanksgiving Recess ~ University Closed


Course Outline:


Week

Dates

Lect.

Sect.

Topic

Assignment

1

Sep 1-2

1

 

Mathematical induction

In class

2

Sep 5-9

2

3

4

 

2.1

2.2

Mathematical induction

Rates of Change and Tangents to Curves

Limit of a Function and Limit Laws

In class

15, 21

8, 9, 47, 55, 65a, 77, 78, 81

3

Sep 12-16

5

6

7

2.3

2.4

2.5

The Precise Definition of a Limit

One-Sided Limits

Continuity

11, 18, 25, 32, 42, 56, 57

19, 22, 38, 41, 43-46

26, 30, 34, 44, 55, 61, 66, 67

4

Sep 19-23

8

9

10

 

2.6

      3.1

Review for Exam 1

Limits Involving Infinity; Asymptotes of Graphs

Tangents and the Derivative at a Point

 

25, 43, 69, 81

30, 33, 35

5

Sep 26-30

11

12

13

3.2

3.3

3.4

The Derivative as a Function

Differentiation Rules

The Derivative as a Rate of Change

12, 21, 23, 32, 33, 35, 46, 53

19, 31, 50, 55, 59, 67, 72, 77

9, 11, 14, 15, 25

6

Oct 3-7

14

15

16

3.5

3.6

3.7

Derivatives of Trigonometric Functions

The Chain Rule

Implicit Differentiation

9, 19, 31, 49, 57, 61

6, 17, 22, 33, 56, 97, 103

5, 17, 31, 44, 47

7

Oct 10-14

17

18

19

3.8

3.9

3.10

Derivatives of Inverse Functions and Logarithms

Inverse Trigonometric Functions

Related Rates

4, 7, 19, 21, 39, 47, 52, 89, 98, 100

15, 20, 23, 24, 34, 35, 43

8

Oct 17-21

20

21

22

3.11

4.1

4.2

Linearization and Differentials

Extreme Values of Functions

The Mean Value Theorem

11, 17, 39, 47, 53, 55, 61

27, 45, 50, 80, 82, 86

15, 18, 29, 51, 54, 57, 58, 61, 66

9

Oct 24-28

23

24

25

 

4.3

4.4

Review for Exam 2

Monotonic Functions and the First Derivative Test

Concavity and Curve Sketching

          

27, 71, 80

3, 12, 31, 32, 51, 61, 114, 119

10

Oct 31-Nov4

26

27

28

4.4

4.5

Concavity and Curve Sketching (cont.)

Indeterminate Forms & L’Hopital’s Rule

 

7, 14, 27, 34, 36, 59, 61, 67, 73

11

Nov 7-11

29

30

31

4.6

4,7

Applied Optimization

Newton’s Method

9, 10, 15, 25, 38, 42, 48, 50, 59, 60

3, 9, 12, 19, 28

12

Nov 14-18

32

33

34

 

4.8

Review Exam 3

Antiderivatives

 

 

29, 33, 38, 42, 65, 122

13

Nov 21-23

35

36

5.1

5.2

5.3

Area and Estimating with Finite Sums

Sigma Notation and Limits of Finite Sums

The Definite Integral

10, 13, 20

5, 17, 31, 33, 40, 42

11, 17, 22, 58, 71, 73, 83

14

Nov 28-Dec 2

37

38

39

5.3

5.4

The Definite Integral (cont.)

The Fundamental Theorem of Calculus

 

12, 20, 31, 41, 52, 71, 74, 81

15

Dec 5-12

40

41

42

5.5

5.6

Indefinite Integrals & the Substitution Rule

Substitution and Area Between Curves

Review for Final Exam

3, 10, 13, 19, 27, 49, 63, 78

11, 15, 17, 27, 77, 91, 129, 133, 134           


 

Prepared By:  Prof. Horacio G. Rotstein and Prof. Amit Bose

Last revised: September 1, 2011

 

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