All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor Code very seriously and enforces it strictly. This means 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 Honor Code, students are obligated to report any such activities to the Instructor.
Mathematics 111-009
CALCULUS I
Fall 2006
¥
Instructor: Prof.
Matveev
¥
Textbook: Calculus:
Early Transcendentals, 5e by James Stewart Pub: Thomson,
Brooks/Coles,
¥
Grading Policy: The final grade in this course will be
determined as follows:
|
ª Homework + Quizzes: |
|
17% |
|
ª 3 Common Exams: |
|
17% each |
|
ª Final Exam: |
|
32% |
Your final letter grade will be based on the following tentative curve distribution:
|
A |
87-100 |
|
C |
60-66 |
|
B+ |
81-86 |
D |
57-59 |
|
|
B |
74-80 |
F |
0-56 |
|
|
C+ |
67-73 |
|
|
This curve may be adjusted slightly at the end of the semester. Also note that the University Drop Date November 6, 2006 deadline will be strictly enforced.
¥
Homework & Quiz Policy: Calculus is learned by solving problems.
It is therefore vital that you complete and turn in all the homework
assignments on time. The homework assignments will be reviewed and returned to
you. You can find the list of the required homework exercises for each lecture
in the Course Outline section. You should also feel free to pursue other
problems that are not contained in this set. Homework problems are due and will
be collected at the beginning of the next lecture.
A short quiz based on the previous lecture’s homework problems will be
given during each lecture. In addition, weekly quizzes will be given during the
recitation sessions. All of the quizzes
will be graded and returned to you. The
homework and quizzes are intended to develop your problem-solving skills and to
prepare you for the exams. The homework
and quiz grades will be a component of your course grade.
¥
Attendance: 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) is mandatory and will be recorded. Please make sure you
read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced. NOTE: After three absences from class and/or the recitation hour, your name
will be submitted to the Dean of Students with a request to have you withdrawn
from the course. Tardiness to class and/or recitation hour counts as a half
absence.
¥
MATLAB: MATLAB is a mathematical software program
that is used throughout the science and engineering curricula. Several MATLAB
assignments will be given out. These assignments have been designed to help you
learn how to use this software in order to visualize many of the concepts
taught in class. MATLAB assignments will
be graded and counted as a quiz.
¥
Exams:
All sections of Math 111 will take three common midterm exams during the
semester and one common final exam during the final exam week. Midterm exams
are held on Wednesdays on the following days:
|
Exam
1: |
September
27, 2006 |
|
Exam
2: |
October
25, 2006 |
|
Exam
3: |
November
29, 2006 |
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. The final exam will be scheduled during the exam period. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.
¥
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
Attendance and Participation: Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.
Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the office of the Department of Mathematical Sciences and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.
Electronic Devices: All cellular phones, beepers, and other electronic devices must be switched off at all times during classes, recitation hours, and exams.
|
Section & Topic |
Homework Assignments: |
||||
|
Week 1 (9/4 - 9/8) |
|||||
|
Read A Preview of Calculus
and Chapter 1, except Section 1.4 |
|||||
|
1.1: |
Four
Ways to Represent a Function |
1 |
p.22: |
2,3,5,6,9,15,22,24,26,31,33,34,51 |
|
|
1.2: |
Mathematical
Models: A Catalog of Essential Functions |
p.35: |
1,2,4,11,13,15 |
||
|
1.3: |
New
Functions from Old Functions |
2 |
p.46: |
2,4,6,8,10,12,13,15,16,23,29,32, |
|
|
1.5: |
Exponential
Functions |
p.62: |
2,7,8,9,10,13,15,20,25 |
||
|
1.6: |
Inverse
Functions and Logarithms |
3 |
p.74: |
1,3,6,9,10,17,18,21,23,24,27,34,35, |
|
|
Week 2
(9/11
- 9/15) |
|||||
|
2.2: |
The Limit of a Function |
4 |
p.102: |
4,8,10,12,13,15,20,24,26,30,32 |
|
|
2.3: |
Calculating limits Using Limit
Laws |
5 |
p.111: |
1,2,4,5,8,11,13,16,19,22,25,37,40 |
|
|
2.5: |
Continuity |
6 |
p.133: |
3,6,7,10,11,13,14,15,17,21,23,31, |
|
|
Week 3 (9/18 - 9/22) |
|||||
|
2.6: |
Limits at Infinity; Horizontal Asymptotes |
7 |
p.146: |
3,6,11,12,14,15,17,20,23,26,27,37, |
|
|
2.7: |
Tangents, Velocities, and Other Rates of Change |
8 |
p.155: |
2,3,5,7,8,9,11,16,18,20,21,22,27,28 |
|
|
2.8: |
Derivatives |
9 |
p.163: |
3,4,6,7,9,13,14,16,19,21,23,25,29 |
|
|
Week 4 (9/25 - 9/29) |
|||||
|
ª
|
REVIEW FOR EXAM I ~ 9/27/06 |
10 |
ª |
Study for EXAM I |
|
|
2.9: |
The Derivative as a Function |
11 |
p.173: |
1,4,5,8,14,22,23,25,27,30,35,41 |
|
|
¥ COMMON EXAM I: September 27, 2006 ¥ |
|||||
|
ª
|
GO OVER EXAM I |
|
|
|
|
|
3.1: |
Derivatives of Polynomials and Exponential Functions |
12 |
p.191: |
3,5,6,8,9,10,13,16,17,22,23,27,33, |
|
|
Week 5 (10/2 - 10/6) |
|||||
|
3.2: |
The Product and Quotient Rules |
13 |
p.197: |
1,3,5,6,8,9,12,13,16,18,19,21,25, |
|
|
3.3: |
Rates of Change in Natural & Social Sciences |
14 |
p.208: |
1,5,8,10,13,15,18,20,26,27,29 |
|
|
3.4: |
Derivatives of Trigonometric Functions |
15 |
p.216: |
1,2,3,5,6,8,9,10,12,13,14,21,29,31, |
|
|
Week 6 (10/9 - 10/13) |
|||||
|
ª
|
|
ª |
DUE ON 10/19/06 |
||
|
3.5: |
The Chain Rule |
16 |
p.224: |
1,2,3,4,6,8,9,11,13,18,21,23,24,28, |
|
|
3.5: |
The Chain Rule (cont.) |
17 |
p.225: |
51,53,54,63,64 |
|
|
3.7 |
Higher Derivatives |
p.240: |
1,3,5,6,8,9,11,14,16,20,23,29,35, |
||
|
3.6: |
Implicit Differentiation |
18 |
p.233: |
1,4,5,8,10,11,12,15,19,21,24,25,26, |
|
|
Week 7 (10/16 - 10/20) |
|||||
|
3.8: |
Derivatives of Logarithmic Functions |
19 |
p.249: |
2,4,5,7,10,11,13,14,21,31,35,39 |
|
|
3.9: |
Hyperbolic Functions |
20 |
p.254: |
1,3,4,15,30,32,33,34 and MATLAB 1 is due |
|
|
3.10: |
Related Rates |
21 |
p.260: |
1,2,5,6,8,10,11,12,13,16,17,19 |
|
|
Week 8
(10/23
- 10/27) |
|||||
|
ª
|
REVIEW FOR EXAM II ~ 10/25/06 |
22 |
ª |
Study for EXAM II |
|
|
3.10: |
Related Rates (cont.) |
23 |
p.261: |
21,22,23,24,26,31,32,33 |
|
|
¥ COMMON EXAM II: October 25, 2006 ¥ |
|||||
|
ª
|
GO OVER EXAM II |
|
|
|
|
|
3.11: |
Linear Approximations & Differentials |
24 |
p.267: |
2,5,6,7,8,15,16,18,21,23,24,28,30, |
|
|
Week 9
(10/30
- 11/3) |
|||||
|
4.1: |
Maximum and Minimum Values |
25 |
p.286: |
3,6,7,15,18,19,23,25,29,32,34,37, |
|
|
4.2: |
The Mean Value Theorem |
26 |
p.295: |
1,2,3,4,5,7,8,11,12,15,16,17,18 |
|
|
4.3: |
How Derivatives Affect the Shape of a Graph |
27 |
p.304: |
1,3,5,9,12,14,15,17,21,22,26 |
|
|
Week 10 (11/6 - 11/10) |
|||||
|
ª
|
NOVEMBER 6, 2006: LAST
DAY TO WITHDRAW FROM THIS COURSE |
||||
|
4.3: |
How Derivatives Affect the Shape of a Graph (cont.) |
28 |
p.305: |
32,33,35,38,40,43,47 |
|
|
4.4: |
Indeterminate Forms and L'Hospital's Rule |
29 |
p.313 |
2,5,6,8,9,11,'13,16,17,19,24,25,26 |
|
|
4.4: |
Indeterminate Forms and L'Hospital's Rule (cont.) |
30 |
p.314: |
29,31,33,35,41,45,48,51,53,54,57, |
|
|
Week 11 (11/13 - 11/17) |
|||||
|
4.5: |
Summary of Curve Sketching |
31 |
p.323: |
2,5,6,9,12,14,19,23,29,37,49 |
|
|
4.7: |
Optimization Problems |
32 |
p.336: |
2,5,8,10,12,15,19 |
|
|
4.7: |
Optimization Problems (cont.) |
33 |
p.336: |
22,26,33,40,55,60 |
|
|
Week 12 (11/20 - 11/24) |
|||||
|
ª
ª
|
November
21, 2006: Classes follow a Thursday
schedule November
22, 2006: Classes follow a Friday schedule |
||||
|
4.9: |
|
34 |
p.351: |
1,5,6,8,11,12,14,17,20,21,22 |
|
|
4.10: |
Antiderivatives |
35 |
p.358: |
2,3,6,8,11,12,17,19;21,22,25,28, |
|
|
|
THANKSGIVING RECESS |
|
|
|
|
|
Week 13 (11/27 - 12/1) |
|||||
|
ª
|
REVIEW FOR EXAM III ~ 11/29/06 |
36 |
ª |
Study for EXAM III |
|
|
5.1: |
Areas and Distances |
37 |
p.378: |
1,3,4,11,15,17,18,19,21 |
|
|
¥ COMMON EXAM III: November 29, 2006 ¥ |
|||||
|
ª
|
GO OVER EXAM III |
|
|
|
|
|
5.2: |
The Definite Integral |
38 |
p.390: |
1,3,5,8,9,17,18,23,25,33,35,36,39, |
|
|
Week 14 (12/4 - 12/8) |
|||||
|
5.3: |
Fundamental Theorem of Calculus |
39 |
p.402: |
5,8,11,13,17,21,24,26,28,31,37,38, |
|
|
ª
|
|
ª |
DUE ON 12/12/06 |
||
|
5.4: |
Indefinite Integrals and the Net Change Theorem |
40 |
p.411: |
2,5,7,9,10,12,17,19,26,29,31,33,35, |
|
|
5.5: |
The Substitution Rule |
41 |
p.420: |
3,4,6,7,13,16,19,21,26,28,35,49,50, |
|
|
Week 15 (12/11 - 12/13) |
|||||
|
ª
|
REVIEW FOR FINAL
EXAM |
|
ª ª |
MATLAB 2 is due Study
for FINAL |
|
|
Final Exam
Week (12/15 - 12/21) |
|||||
|
FINAL EXAM WEEK: DECEMBER 15-21, 2006 |
|||||
Prepared By: Prof. Robert Miura
Last revised: August 1, 2006
U: 9.15.06; 10.10.06; 12.05.06