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..
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.
M |
Labor Day ~ No classes |
|
M |
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:
Week |
Section
& Topic |
Lecture and
Homework Assignments |
|||
1 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
◘
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 |
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 |
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 |
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 |
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 |
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