MATH 111H Course Syllabus - FALL 2013

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 111H:  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 (Bundled w/ MML SAK), by Thomas, Weir, Hass. Pub: Addison-Wesley, Pearson Education, Inc. © 2010. ISBN-13:9780321648426; ISBN-10: 0321648420

Math Tutoring Help (click here)

Course Website:  MyMathLab - Course Compass

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.

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.

Assessment

  • The assessment of objectives is achieved through homeworks, quizzes, and common examinations with common grading.

 

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

  Math 111-H01     Prof. Bechtold
  Math 111-H02     Prof. Matveev

 

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

Homework, Quizzes:

17%

Common Midterm Exam I:

17%

Common Midterm Exam II:

17%

Common Midterm Exam III:

17%

Final Exam:

32%


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

85-100

C

65-69

B+

80-84

D

60-64

B

75-79

F

0-59

C+

70-74

 

 


 

Drop Date:  Please note that the University Drop Date November 4, 2013 deadline will be strictly enforced.

Homework:  Calculus is learned by solving problems.  In Math 111, there are two kinds of homework assignments: 1) assignments which are completed online, and 2) assignments which are written out by hand and turned in. The online homework is listed on the syllabus, and can be completed at:  www.mymathlab.com or www.coursecompass.com .  In order access the online assignments you need to have a student access code. Access codes are included with 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 online assignments. NOTE: Homework Assignments are DUE frequently (at least weekly) at the dates and times specified online and by your instructor.. Additional problem sets/projects, that emphasize applications in science and engineering will be handed out several times throughout the semester.  These problem sets will make up a substantial portion of the homework/quiz grade.

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:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. It is used frequently on the problem sets; tutors are available to help students having difficulties in accordance with a posted schedule.

Quizzes: 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.

Attendance Policy:  Day sections of Math 111 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. 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.

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 25, 2013

Exam 2:

October 23, 2013

Exam 3:

November 20, 2013

Final Exam Week:

December 13-19, 2013


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

Makeup Examination 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. Assistance is also available at the Mathematics Tutoring Center and at CAPE.

Cellular Phones:  All cellular phones and other electronic devices 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 2, 2013

M

Labor Day ~ No classes

November 4, 2013

M

Last Day to Withdraw from this course

November 26, 2013

T

Classes follow a Thursday Schedule

November 27, 2013

W

Classes follow a Friday Schedule

November 28-Dec 1, 2013

R-Su

Thanksgiving Recess

December 12, 2013

R

Reading Day

December  13-19, 2013

F- R

Final Exams


Course Outline:

Week
Dates

Section & Topic

Lecture and Homework Assignments

1
 9/3 - 9/6

2.1:

Rates of Change and Tangents to Curves

1

p.63:

1,3*,5,9,13,21

 

2.2:

Limit of a Function and Limit Laws

2

p.73:

1,13,19,22,25,31,32*,33,35,41,47,49,50*, 53,57,63,79,80*,81

2
9/9 – 9/13

2.3

 

2.4:

Definition of Limits

One-Sided Limits

 

3

 

p.90:

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

 3,5,9,13,15,17,25,27,29,30*,32*,35,39,45*

 

2.5:

Continuity

4

p.101:

3,5,7,15,17,18*,20*,21,25,27,29,30*

 

2.5:

2.6:

Continuity (cont.) and

Limits Involving Infinity; Asymptotes of Graphs

5

p.101:

33,35,37,39,41,43,47,53,54*,55*,59

3
9/16 – 9/20

2.6:

Limits Involving Infinity; Asymptotes of Graphs (cont.)

6

p.114:

7,9,11,23,25,27,30*,31,33,43,45,49,53,61,63,67,82*,86*,99,103*

 

3.1:

Tangents and the Derivative at a Point

7

p.125:

11,13,15,17,21,32*,33

 

3.2:

The Derivative as a Function

8

p.131:

1,3,5,13,26,32*,33,39,41.46*.56*

4
9/23 – 9/27

Å

REVIEW FOR EXAM I ~ 9/25/2013

9

Å

Study for EXAM I

 

Common Exam 1:  Wednesday,  september 25, 2013

 

3.3:

Differentiation Rules

10

p.143:

5,7,19,25,31,38*,39,40*,41,43,45

 

Å

GO OVER EXAM 1

 

 

 

 

3.3:

Differentiation Rules (cont.)

11

p.143:

47,52*,53,55,57,60*,62,63,65,70*,72

5
9/30 – 10/4

3.4:

The Derivative as a Rate of Change

12

p.152:

1,5,7,10,13,17,18*,22*,23,25,29

 

3.5:

Derivatives of Trigonometric Functions

13

p.159:

1,9,11,15,19,26,29,33,35,44*,49,53,59,61

 

3.6:

The Chain Rule

14

p.167:

3,5,17,23,25,29,33,35,39,43,46*,47,49, 50*,51,61,62*,63,66*

6
 10/7 – 10/11

3.6:

3.7:

The Chain Rule (cont.) and

Implicit Differentiation

15

p.167:

71,77,79,81,83,86*,88*,89,95,99

 

3.7:

3.8:

Implicit Differentiation (cont.) and

Derivatives of Inverse Functions and Logarithms

16

p.174:

1,7,11,15,17,19,23,26*,31,37,38*,39

 

3.8:

Derivatives of Inverse Functions and Logarithms (cont.)

17

p.184:

7,9,13,21,24,29,31,35,36*,39,43,56*,61, 63,65,69,74*,83,89,92*,95

7
 10/14 – 10/18

3.9:

Inverse Trigonometric Functions

18

p.191:

5,11,21,23,31,33,36*,37,41,42*,61

 

3.10:

Related Rates

19

p.197:

7,11,15,17,21,23,25,26*

 

3.10:

3.11:

Related Rates (cont.) and

Linearization and Differentials

20

p.197:

27,31,32*,33,37,40,41,42*

8
10/21 – 10/25

Å

REVIEW FOR EXAM II ~ 10/23/2013

21

Å

Study for EXAM II

 

COMMON EXAM 2:  WEDNESDAY, OCTOBER 23, 2013

 

3.11:

4.1:

Linearization and Differentials (cont.) and

Extreme Values of Functions

22

p.210:

5,11,13,18*,19,31,35,41,51,53,54*,59

 

Å

GO OVER EXAM 2

 

 

 

 

4.1:

Extreme Values of Functions (cont.)

23

p.227:

7,25,29,33,35,39,41,47,49,51,61,63,65, 69,71,72*,86

9
10/28 – 11/1

4.2:

The Mean Value Theorem

24

p.236:

3,4,5,6,11,13,16,21,24*

 

4.2:

4.3:

The Mean Value Theorem (cont.) and

Monotone Functions and the First Derivative Test

25

p.236:

31,35,37,41,45,47,49,51,56,63*

 

4.3:

 

4.4:

Monotone Functions and the First Derivative Test (cont.) and

Concavity and Curve Sketching

26

p.241:

11,13,21,29,36*,37,40*,41,43,49,61,73

10
11/4 - 11/8

        November 4, 2013:  (M)  LAST DAY TO WITHDRAW FROM THIS COURSE

 

4.4:

Concavity and Curve Sketching (cont.)

27

p.251:

7,13,19,25,28,31,35,37,43,45,49,58*,90*, 94*,99,111,121

 

4.5:

Indeterminate Forms and L'Hopital's Rule

28

p.261:

7,9,11,15,19,21,23,29,33,37,40*,41,44*, 46,49

 

4.5:

4.6:

Indeterminate Forms and L'Hopital's Rule (cont.)

Applied Optimization

29

p.261:

51,55,57,58,60*,63,65,67,71,79,82*

11
11/11 – 11/15

4.6:

Applied Optimization (cont.)

30

p.268:

4,7,9,11,12,20,23,24*,30*,31,38,39,51,56

 

4.7:

Newton's Method

31

p.277:

1,2,5,6*,12*,19

 

4.8:

Antiderivatives

32

p.285:

5,11,19,35,37,41,45,47,54*,59,61,64*,69, 97,104,107,113,122*,123

12
11/18 – 11/22

Å

REVIEW FOR EXAM III ~ 11/20/2013

33

Å

Study for EXAM III

 

Common Exam 3:  Wednesday, November 20, 2013

 

5.1:

Area and Estimating with Finite Sums

34

p.304:

1,5,9,11,16*,17

 

Å

GO OVER EXAM 3

 

 

 

 

5.2:

Sigma Notation and Limits of Finite Sums

35

p.312:

7,9,17,25,29,33,36*,37,39,40*,43

13
11/25 – 11/27

5.3:

The Definite Integral

36

p.321:

1,9,13,21,22,28*,33,42,45

 

5.3:

5.4:

The Definite Integral (cont.) and

The Fundamental Theorem of Calculus

37

p.321:

57,59,61,71,73*,74*,79,88

 

        NOVEMBER 26-27, 2013:  (T-W)  Classes Follow a Thursday and Friday Schedule

 

        November 28-29, 2013:  (R,F)  Thanksgiving ~ No Classes Scheduled

14
12/2 – 12/6

5.4:

The Fundamental Theorem of Calculus (cont.)

38

p.333:

7,9,13,15,16*,21,23,27,41,47,50*,53,55, 57,60,61,63,64*,75,77

 

5.5:

Indefinite Integrals and the Substitution Method

39

p.342:

11,15,18,20,21,23,25,26*,27,29,31,32*,33

 

5.5:

 

5.6:

Indefinite Integrals and the Substitution Method (cont.) and

Substitution and Area Between Curves

40

p.342:

38*,43,46*,47,52*,53,55,56*,59,63,65,77

15
12/9 – 12/11

5.6:

Substitution and Area Between Curves (cont.)

41

p.350:

3,11,17,19,24*,27,29,39,51,59,63,72*,75, 81,88*,91,96*,97,99,105,113



Å

REVIEW FOR FINAL EXAM

42

Å

Study for FINAL EXAM

Finals

FINAL EXAM WEEK:  december 13-19, 2013

Prepared By:  Prof. John Bechtold

Last revised: August 30,  2013

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