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MATH 111 Course Syllabus
- fall 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 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 111-001 | Prof. Afkhami |
| Math 111-003 | Prof. Turc |
| Math 111-005 | Prof. Katzen |
| Math 111-007 | Prof. Katzen |
| Math 111-009 | Prof. Bukiet |
| Math 111-011 | Prof. Agrawal |
| Math 111-013 | Prof. Opyrchal |
| Math 111-015 | Prof. Maljian |
| Math 111-017 | Prof. Opyrchal |
| Math 111-101 | Prof. Klimek |
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 6, 2012 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 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 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:
October 3, 2012
Exam 2:
October 31, 2012
Exam 3:
November 28, 2012
Final Exam Week:
December 14-20, 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.
| M |
Labor Day ~ University Closed |
|
| T |
Last Day to Withdraw from this course |
|
| T |
Classes follow a Thursday Schedule |
|
| W |
Classes follow a Friday Schedule |
|
| R-Su |
Thanksgiving Recess |
|
| R |
Reading Day |
|
| F- R |
Final Exams |
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 |
|
Pre-test review and
motivation |
|
|
2 |
2.1 |
Rates of change and tangents to curves |
1,5,9,21
|
|
3 |
2.2 |
Limit of a function and
limit laws |
1,3,11,15,19,23,27,35,37,43,49,53,63,79,81 |
|
4 |
2.4 |
One-sided limits |
1,5,13,15,17,21,25,37,39,52
|
|
5 |
2.5 |
Continuity |
1,13,19,27,29,35,39,43,47,53,57
|
|
6 |
2.6 |
Limits involving
infinity; asymptotes of graphs |
1,3,7,11,17,19,23,29,35,43,49,57,67,81,101
|
|
7 |
3.1 |
Tangents and Derivative
at a Point |
5,7,13,23,29,33,37
|
|
8 |
3.2 |
Derivative as a
function |
3,11,18,23,27,3.1.23,3.1.25,31,33,37,41,47,53 |
|
9 |
3.3 |
Differentiation Rules |
1,7,11,13,17,31,39,41,53,57,72 |
|
10 |
3.4 |
Derivative as a rate of
change |
1,3,7,13,15,19,23,25,28
|
|
11 |
3.5 |
Derivatives of
trigonometric functions |
3,15,25,27,31,35,47,49,53,59,61
|
|
12 |
|
Review |
|
|
13 |
3.6 |
Go over exam Chain Rule |
|
|
14 |
3.6 |
Chain Rule (cont) |
1,7,9,21,23,29,35,41,55,61,73,89,95
|
|
15 |
3.7 |
Implicit
Differentiation |
1,15,19,25,29,39,47
|
|
16 |
3.8 |
Derivatives of Inverse
Functions and Logarithms |
7,11,13,21,24,29,37,41,51,65,89,95 |
|
17 |
3.9 |
Inverse Trigonometric
functions |
1,3,7,9,11,13,23,25,33,49 |
|
18 |
3.10 |
Related rates |
1,5,13,21,23,25 |
|
19 |
3.10 |
Related rates (cont) |
27,29,31,37,40,43 |
|
20 |
3.11 |
Linearization and
Differentials |
1,11,13,19,23,43,45,51,53,57 |
|
21 |
4.1 |
Extreme values of
functions |
1,3,13,21,31,35,51,53,63,69,75,85,86 |
|
22 |
4.2 |
Mean Value Theorem |
1,4,13,16,21,25,
31,33,37,41,43,49,51,56,63,73
|
|
23 |
4.3 |
Monotonic functions and
the first derivative test |
1,7,13,15,21,33,43,49,59,67,73,78 |
|
24 |
|
Review |
|
|
25 |
4.4 |
Go over exam Concavity and curve
sketching |
1,5,9,19,23,37,41 |
|
26 |
4.4 |
Concavity and curve
sketching (cont) |
43,51,59,71,81,103,111,121 |
|
27 |
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 |
|
28 |
4.6 |
Applied optimization |
1,3,5,7,11,12 |
|
29 |
4.6 |
Applied optimization |
14,27,37,38,39,57 |
|
30 |
4.7 |
|
1,3,5,19,25 |
|
31 |
4.8 |
Antiderivatives |
1,5,11,13,15,25,41,53,55,61,
89,91,97,101,104,105,113,119,121,127 |
|
32 |
5.1 |
Area and estimating
with finite sums |
1,9,13,15,19 |
|
33 |
5.2 |
Sigma notation and
limits of finite sums |
|
|
34 |
5.2 |
Sigma notation and
limits of finite sums |
1,5,7,9,15 |
|
35 |
|
Review |
|
|
36 |
5.3 |
Go over exam The Definite Integral |
1,7,9,13,15,22,29,41,51,59,64,71,75,79 |
|
37 |
5.4 |
Fundamental Theorem of
Calculus |
1,8,13,17,23,41,45,47,51,59,61,65,69,75,77,81,83
|
|
38 |
5.5 |
Indefinite integrals
and substitution |
|
|
39 |
5.5 |
Indefinite integrals
and substitution (cont) |
1,7,11,17,19,21,25,33,43,47,55,61,71
|
|
40 |
5.6 |
Substitution and area
between curves |
1,9,17,27,39,47,51,55,63,73,75,87,105,107,113
|
|
41 |
|
Review |
|
|
42 |
|
Review |
|
Prepared By: Prof. Bruce Bukiet
Last revised: September 14, 2012