MATH 111 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.

 

Math 111-001:  Calculus I

FALL 2010

 

Instructor:  Prof. Bukiet

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. 

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

Course Website:  MyMathLab - Course Compass

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 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 November 1, 2010 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:  Problem solving is an essential part of learning calculus. Thus, it is vital that you complete all of the homework assignments by the specified dates. The homework assignments are online at www.mymathlab.com or www.coursecompass.com. In order to complete the 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. 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 on the course website.

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 22, 2010

Exam 2:

October 20, 2010

Exam 3:

November 17, 2010

Final Exam Week:

December 10-16, 2010


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 6, 2010

M

Labor Day Holiday ~ University Closed

November 1, 2010

M

Last Day to Withdraw from this course

November 25-28, 2010

R-Su

Thanksgiving Recess ~ University Closed

December 7, 2010

T

Classes follow a Thursday Schedule

December 8, 2010

W

Classes follow a Friday Schedule

 

Course Outline:

NOTE: Homework numbers in "bold" are not available online. Students are NOT required
to hand in these problems but are responsible for this material.
 

Week
Dates

Section & Topic

Lecture, Page & Homework Assignments

 

0

Pre-test assigned via e-mail

0

Pre-test assigned via e-mail

Week 1
8/30 – 9/3

└►

Motivating the Course; Usefulness of Calculus; Review topics of greatest issue
in Pre-Calculus

1

└►

Re-work PRE-TEST

2.1

Rates of Change and Tangents to Curves

2

p.63

1, 5, 7, 9, 21

2.2

Limit of a Function and Limit Laws

3

p.73

1, 3, 5, 6, 11, 15, 19, 23, 29, 33, 35, 37, 43, 49, 53, 63

└►

MATLAB 1 assigned

*

└►

DUE ON 9/17/10

Week 2
9/6 – 9/10

└►

LABOR DAY ~ UNIVERSITY CLOSED

     

2.4

One-Sided Limits

4

p.90

1, 5, 6, 7, 13, 15, 17, 21, 25 , 29, 37, 39, 43

2.5

Continuity

5

p.101

1, 2, 6, 13, 19, 23, 27, 29, 34, 39, 43, 47, 53, 57, 66

Week 3
9/13 – 9/17

2.6

Limits Involving Infinity;

Asymptotes of Graphs

6

p.114

1, 3, 7, 10, 11, 17, 18, 19, 23, 29, 35, 43, 49, 57, 67, 71, 81, 101

3.1

3.2

Tangents and the Derivative at a Point

The Derivative as a Function

7

p.125

p.131

5, 7, 13, 23, 25. 29, 33, 37

3, 5, 11, 18, 23

3.2

3.3

The Derivative as a Function (cont.) Differentiation Rules

8

p.132

p.143

27, 35, 37, 41, 43, 46, 53, 55

1, 7, 11 & MATLAB 1 DUE 9/17

Week 4
9/20 – 9/24

└►

REVIEW FOR EXAM #1

9

└►

STUDY FOR EXAM #1

└►

MIDTERM EXAM I:  Wednesday ~ September 22, 2010

└►

Go over Exam I

     

3.3

Differentiation Rules (cont.)

10

p.143

13, 17, 21, 31, 37, 39, 41, 47, 50, 53, 57, 59, 67, 69, 72

3.3

3.4

Differentiation Rules (cont.)

The Derivative as a Rate of Change

11

p.152

1, 3, 7, 13, 15, 19, 21, 23, 25, 26

Week 5
9/27 – 10/1

3.5

Derivatives of Trigonometric Functions

12

p.159

3, 7, 15, 19, 21, 25, 31 ,35, 39, 47, 49, 53, 57, 59, 61

3.6

The Chain Rule

13

p.167

1, 7, 9, 17, 21

3.6

3.7

The Chain Rule (cont.)

Implicit Differentiation

14

p.167

23, 29, 35, 41, 55, 61, 69, 73, 79, 85, 89,
97 (w/o jerk), 100

Week 6
10/4 – 10/8

3.7

Implicit Differentiation (cont.)

15

p.174

1, 7, 15, 19, 21, 23, 29, 33, 39, 47, 50

3.8

Derivatives of Inverse Functions and Logarithms

16

p.184

7, 11, 13, 21, 24, 29, 37, 41, 47, 51, 55, 65, 89, 95

3.9

Inverse Trigonometric Functions

17

p.191

1, 3, 5, 7, 9, 11, 13, 23, 25, 33, 41, 49, 63

Week 7
10/11 – 10/15

3.10

Related Rates

18

p.197

1, 5, 13, 16, 18, 21, 23, 25

3.10

Related Rates (cont.)

19

p.199

27, 29, 31, 34, 35, 37, 40, 43

3.11

Linearization and Differentials

20

p.210

3, 11, 13, 15, 16a,b,19, 23, 31, 41, 43, 51, 53, 57, 64a,b

Week 8
10/18 – 10/22

└►

REVIEW FOR EXAM #2

21

└►

STUDY FOR EXAM #2

└►

MIDTERM EXAM II:  Wednesday ~ October 20, 2010

└►

Go over Exam II

     

4.1

Extreme Values of Functions

22

p.227

1, 3, 11, 13, 21, 25, 35, 41, 59, 63, 69, 75, 85, 86

4.1

4.2

Extreme Values of Functions

The Mean Value Theorem

23

p.227

p.236

1, 3, 11, 13, 21, 25, 35, 41, 59, 63, 69, 75, 85, 86

1, 4, 10, 13, 16, 21, 25

└►

MATLAB 2 assigned

*

└►

DUE ON 11/4/10

Week 9
10/25 – 10/29

4.2

The Mean Value Theorem (cont.)

24

p.236

31, 33, 37, 41, 43, 49, 51, 56, 57, 63, 65, 73

4.3

Monotonic Functions and the First Derivative Test

25

p.241

1, 7, 13, 15, 21, 33, 43, 49, 53, 59, 67, 73, 78

4.4

Concavity and Curve Sketching

26

p.251

1, 5, 9, 19, 23, 29, 37, 41, 43, 51

Week 10
11/1 – 11/5

└►

Last Day to Withdraw from this course

4.4

4.5

Concavity and Curve Sketching (cont.) Indeterminate Forms & L’Hopital’s Rule

27

p.252

p.261

59, 71, 73, 81, 85, 91, 103, 111, 113, 117, 121

1, 5, 11, 13, 17, 27, 29, 35, 41, 42, 46, 49

4.5

4.6

Indeterm. Forms & L’Hopital’s Rule (cont.)

Applied Optimization

28

p.261

p.268

51, 58, 71, 75, 77, 79, 81, 85

1, 3, 5, 7, 11, 12

4.6

Applied Optimization (cont.)

29

p.269

└►

14, 24, 29, 37, 38, 39, 42
&
MATLAB 2 DUE 11/4

└►

MATLAB 3 assigned

*

└►

DUE ON 11/23/10

Week 11
11/8 – 11/12

4.6

4.7

Applied Optimization (cont.)

Newton’s Method

30

p.272

45, 47a-c, 54, 57, 63, 67a

4.7

4.8

 

Newton’s Method (cont.)

Antiderivatives

 

31

p.277

p.285

 

1, 3, 5, 7, 9, 10, 11, 19, 25

1, 5, 11, 13, 15, 19, 25, 35, 41, 53, 55, 61, 65, 71, 75, 76

4.8

Antiderivatives (cont.)

32

p.286

 83, 86, 89, 91, 97, 101, 104, 105, 113, 119, 121, 127

Week 12
11/15 – 11/19

└►

REVIEW FOR EXAM #3

33

 

STUDY FOR EXAM #3

└►

MIDTERM EXAM III:  Wednesday ~ November 17, 2010

└►

Go over Exam III

     

5.1

Area and Estimating with Finite Sums

34

p.304

1, 3, 9, 13, 14, 15, 19

5.1

5.2

Area and Estimating w/ Finite Sums (cont.)

Sigma Notation and Limits of Finite Sums

35

p.304

p.312

1, 3, 9, 13, 14, 15, 19

1, 5, 7, 9, 15

Week 13
11/22 – 11/24

5.2

5.3

Sigma Not. & Limits of Finite Sums (cont.)

The Definite Integral

36

p.313

p.321

17, 25, 31, 33, 39, 41

1, 7, 9, 13, 15, 22

5.3

The Definite Integral (cont.)

37

p.322

└►

29, 35, 41, 47, 51, 59, 64, 71, 75, 79

& MATLAB 3 DUE 11/23

11/25 – 11/28

└►

[Thurs-Sun: Nov. 25-28] Thanksgiving Recess ~ University Closed

Week 14
11/29 – 12/3

5.4

The Fundamental Theorem of Calculus

38

p.333

1, 8, 13, 17, 23, 31

5.4

5.5

The Fundamental Theorem of Calc. (cont.)

Indefinite Integrals & the Substitution Rule

39

p.334

41, 45, 47, 50, 51, 59, 61, 65, 69, 71, 75, 77, 79, 81, 83

5.5

Indefinite Integrals & the Sub. Rule (cont.)

40

p.342

1, 7, 11, 17, 19, 21, 23, 25, 27, 33, 43, 47, 51, 55, 61, 71, 79

Week 15
12/6 – 12/8

5.6

Substitution and Area Between Curves

41

p.350

1, 9, 17, 27, 39, 47, 51, 55, 63, 67, 73, 75, 81, 87, 93, 105, 107, 113

└►

REVIEW FOR FINAL EXAM

42

└►

STUDY FOR FINAL EXAM

└►

[TUE & Wed: DEC. 7-8] Classes follow a THURSDAY and FRIDAY Schedule

 

Finals

Final EXAM WEEK:  December 10-16, 2010

 

Prepared By:  Prof. Bruce Bukiet

Last revised:  July 20, 2010

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