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 112-H02:
HONORS Calculus Ii
Spring 2007
Instructor: Prof.
Bukiet
Textbook: Calculus:
Early Transcendentals, 5e by James Stewart Pub: Thomson,
Brooks/Coles,
NJIT Honor Code: All students should
be aware that the Department of Mathematical Sciences takes the NJIT Honor Code
very seriously and enforces it strictly. Honor Code violations include
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. If you are not sure
if what you are doing constitutes a violation of the Honor Code, PLEASE ASK
YOUR INSTRUCTOR.
Grading Policy: The final grade in this course will
be determined as follows:
|
☑ Homework + Quizzes, etc.: |
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17% |
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☑ 3 Common Exams: |
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17% each |
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☑ Final Exam: |
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32% |
Your
final letter grade will be based on the following tentative curve:
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A |
87-100 |
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C |
63-70 |
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B+ |
83-86 |
D |
55-62 |
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B |
75-82 |
F |
0-54 |
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C+ |
71-74 |
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This
curve may be adjusted slightly at the end of the semester. Also note that the
University Drop Date
Homework &
Quiz Policy: You can find the list of homework
exercises for each lecture in the Course Outline section. Those that might be
turned in will be assigned in class. You should also feel free to pursue other
problems that are not contained in this set. Assigned homework problems are due
and will be collected at the beginning of the next lecture. Please keep in mind
that homework, quizzes and other forms of class work and participation
constitute a significant portion of your grade.
Weekly quizzes will also be given during the recitation sessions. These
are intended to practice problem-solving skills and prepare you for the exams.
The quiz grades will count toward your homework grade.
Attendance: Math 112H 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 Registrar with a
request to have you withdrawn from the course. Tardiness to class and/or
recitation hour counts as a half absence. For additional details, please click here.
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 112H 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 |
February 7, 2007 |
|
Exam
2 |
March 7, 2007 |
|
Exam
3 |
April 11, 2007 |
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.
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 Math office 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.
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
Cellular
Phones:
All cellular phones and beepers must be switched off during all class
times.
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January 15 |
M |
MLK Day – No
Classes Scheduled |
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March 26 |
M |
Last Day to Withdraw from Classes |
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April 6 |
F |
Good Friday –
No Classes Scheduled |
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May 1 |
T |
Classes
Follow a Friday
Schedule |
Just
because you have successfully completed Calculus I does not mean that you ought
to forget this material. Some of the topics you will encounter (from Calculus
I) during Math 112H include:
☑
Math induction;
Concepts of Continuity, Integrability and Differentiability; Intermediate Value
☑
Theorem;
Word/Related rates/Optimization problems; Implicit Differentiation; Logarithmic
☑
Differentiation;
Differentials, Linear Approximations and
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Each exam will include at least
one question |
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Items in Green-italic font are
differences (additions) to Math 112H that are beyond Math 112. |
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Section & Topic |
Homework Assignments: |
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Week 1 (1/16 – 1/19) |
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☑
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Topics covered at end
of Math 111H |
1 |
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5.3: |
Fundamental Theorem of Calculus |
1 |
p.402: |
5,8,11,13,17,21,24,26,28,31,37,38,48,49, |
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5.4: |
Indefinite Integrals & the Net Change Theorem |
1 |
p.411: |
2,5,7,9,10,12,17,19,26,29,31,33,35,39, |
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5.5: |
The Substitution Rule |
1 |
p.420: |
3,4,6,7,13,16,19,21,26,28,35,49,50,56,57, |
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6.1: |
Areas between Curves |
2 |
p.442: |
1,4,5,8,13,16,18,24, |
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6.2: |
Volumes |
3 |
p.452: |
2,3,5,7,8,11,14,16,21,22,32,34,
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Week 2
(1/22 - 1/26) |
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6.3: |
Volumes by Cylindrical Shells |
4 |
p.458: |
4,5,7,9,10,13,17,19,38,41,
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6.4: |
Work |
5 |
p.463: |
2,3,5,7,9,13,20,22,24, |
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6.5: |
Average
Value of a Function |
6 |
p.467 |
5, 9, 15, 18, 20 |
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Week 3 (1/29 - 2/2) |
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7.1: |
Integration by Parts |
7 |
p.480: |
1,3,4,9,11,14,15,18,20,21,23 |
|
|
7.1: |
Integration by Parts
(cont.) |
8 |
p.480: |
24,26,28,29,34,35,36,52,56
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|
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7.2: |
Trigonometric Integrals |
8 |
p.488: |
2,3,5,7,8,9,11,15,17,18,19 |
|
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7.2: |
Trigonometric Integrals (cont.) |
9 |
p.488: |
21,22,23,26,27,33, |
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Week 4 (2/5 - 2/9) |
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☑
|
REVIEW FOR EXAM I ~ |
10 |
☑ |
Study for EXAM I |
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◄ COMMON EXAM I:
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☑
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GO OVER EXAM I |
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7.3: |
Trigonometric
Substitution |
11 |
p.494: |
2,3,4,7,9,11 |
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7.3: |
Trigonometric Substitution (cont.) |
12 |
p.494: |
13,14,15,19,21,23,25,28,29,30, |
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Week 5 (2/12 - 2/16) |
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7.4: |
Integration of Rational
Functions by Partial Fractions |
13 |
p.504: |
1,3,4,8,9,12,15,16,19,21 |
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7.4: |
Integration of Rational
Functions by Partial Fractions (cont.) |
14 |
p.504: |
25,26,29,39,41,47, |
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7.5: |
Strategy for
Integration |
14 |
p.510: |
3,4,7,18,43,61, |
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7.7: |
Approximate Integration |
15 |
p.527: |
5,7,9,13,18,21, |
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☑
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☑ |
DUE ON |
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Week 6 (2/19 - 2/23) |
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7.8: |
Improper Integrals |
16 |
p.537: |
1,6,8,9,12,14,19,21,28,32,37,63,
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8.1: |
Arclength |
17 |
p.552: |
1,5,6,7,8,10,14,17,19, |
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8.2: |
Area of Surface of
Revolution |
18 |
p.559: |
4,5,7,10,12,13,17,25,26,
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Week 7 (2/26 - 3/2) |
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8.3: |
Applications to Physics
& Engineering |
19 |
p. 569 |
1,3,7,11,19,21,23,26,30,33,40, 37 |
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8.4: |
Applications to Biology |
19 |
p. 574 |
13,14,15 |
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11.1: |
Sequences |
20 |
p.710: |
5,8,12,16,19,22,26,31,33,61,
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11.2: |
Series |
21 |
p.720: |
9,11,13,16,20,22,23,26,31,36,37,41,42,
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Week 8
(3/5 - 3/9) |
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☑
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REVIEW FOR EXAM II ~ |
22 |
☑ |
Study for EXAM II |
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◄ COMMON EXAM II:
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☑
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GO OVER EXAM II |
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11.3: |
The
Integral Test and Estimating Sums |
23 |
p.729: |
1,3,4,7,9,10,12,15,19,21,32,34,
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11.4: |
The Comparison Test |
24 |
p.734: |
2,3,6,8,12,13,16,18,21,24,31,32,
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Week 9
(3/12 - 3/16) |
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◄ SPRING RECESS:
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Week 10 (3/19 - 3/23) |
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11.5: |
Alternating Series |
25 |
p.739: |
1,4,5,9,11,13,15,23,28,31,
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11.6: |
Absolute Convergence
& the Ratio & Root Test |
26 |
p.745: |
2,3,4,5,7,8,9,10,12,14 |
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11.6: |
Absolute Convergence
& the Ratio & Root Test (cont.) |
27 |
p.745: |
15,17,18,19,21,23,27,29,31,
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11.7: |
Strategy for Testing Series |
27 |
p.748: |
5, 10, 15, 20, 25, 30, 35 |
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Week 11 (3/26 – 3/30) |
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☑
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11.8: |
Power Series |
28 |
p.753: |
2,3,6,7,8,10,11,18,20,23,26,
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11.9: |
Representation of
Functions as Power Series |
29 |
p.759: |
3,5,6,11,14,17,23,27, |
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11.10: |
Taylor and MacLaurin
Series |
30 |
p.770: |
4,5,6,8,11,13,15,18 |
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☑
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☑ |
DUE ON |
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Week 12 (4/2 - 4/6) |
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11.10: |
Taylor and MacLaurin
Series (cont.) |
31 |
p.770: |
23,24,26,28,37,39,40,42,
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|
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11.12 |
Applications of |
31 |
p.783 |
13a,b; 15a,b; 16a,b; 21a,b; 29,31 |
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10.1: |
Curves Defined by
Parametric Equations |
32 |
p.656: |
1,2,4,5,7,9,12,14,15,16,
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☑
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Week 13 (4/9 - 4/13) |
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☑
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REVIEW FOR EXAM III ~ |
33 |
☑ |
Study for EXAM III |
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◄ COMMON EXAM III:
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☑
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GO OVER EXAM III |
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10.2: |
Calculus with Parametric Curves |
34 |
p.666: |
2,5,8,11,17,19,33,38,41,57,61,
|
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10.3: |
Polar Coordinates |
35 |
p.677: |
2,3,6,10,16,19,22,26,29,31,33,34,35,38,
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Week 14 (4/16 - 4/20) |
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10.4: |
Areas and Lengths in Polar
Coordinates |
36 |
p.683: |
3,6,7,9,10,13,17,21 |
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10.4: |
Areas and Lengths in Polar
Coordinates (cont.) |
37 |
p.683: |
23,24,26,29,31,33,
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12.1: |
Three-Dimensional Coordinate
Systems |
38 |
p.797: |
3,5,7,8,9,12,16,20,25,30,37,
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Week 15 (4/23 - 4/27) |
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12.2: |
Vectors |
39 |
p.805: |
6,13,15,22,23,25,26,27,29,
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12.3: |
The Dot Product |
40 |
p.812: |
2,5,7,9,15,20,23,26,27,31,38,41,
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|
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12.4: |
The Cross Product |
41 |
p.820: |
2,4,7,10,13,15,24,26,30,31,34,
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Week 16 (4/30- 5/1) |
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☑
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☑
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REVIEW FOR FINAL
EXAM |
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☑ |
Study
for FINAL |
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Final Exam
Week |
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FINAL EXAM WEEK:
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Prepared By: Prof. Bruce Bukiet
Last
revised: