A course
outline for Calculus III (MAC2313)
Instructor:
Dr. Theodore Tachim Medjo, Office: DM 431B
Textbook: Calculus: Early Transcendentals By
Bernard Gillett, Lyle Cochran, and William Briggs
Pearson; 3rd
edition (January 2, 2018)
ISBN-10 :
0134763645
ISBN-13 :
978-0134763644
Office Hours: MTWTh 11:00AM-12:00PM (other
times by appointments)
Tel: 305 348
2591. E-mail: tachimt@fiu.edu
Class schedule: MTWTh: 8:15AM-10:25AM: Student Acad Success Cntr 202
Description: The course
deals with the differential and integral calculus of real multivariable
functions. The student should have passed MAC 2311-2312 with at least a C,
including most topics
in Chapters 1-12, but excluding Ch. 9. This syllabus
assumes a semester with 15 instructional weeks. The
course covers most of
chapters 13--17 from the textbook. Specifically
Chapter 13:
Vectors and Geometry of Space
13.1 Vectors in the Plane. 13.2 Vectors in
three dimensions. 13.3 Dot Products. 13.4 Cross Products .13.5 Lines and Planes
in Space. 13.6 Cylinders and Quadric Surfaces
Chapter 14:
Vector-Valued Functions
14.1 Vector-Valued functions. 14.2 Calculus of
Vector-Valued Functions. 14.3 Motion in Space. 14.4 Length of Curves. 14.5
Curvature and Normal Vectors
Notes: Torsion
is optional and usually omitted (in 14.5).
Chapter 15: Functions of several variables
15.1 Graphs and Level Curves 15.2
Limits and Continuity 15.3 Partial Derivatives. 15.4 The Chain Rule. 15.5
Directional Derivatives and the Gradient. 15.6 Tangent Planes and Linear
Approximation. 15.7 Maximum/ Minimum Problems. 15.8 Lagrange Multipliers
(optional)
Chapter 16: Multiple Integration
16.1 Double
Integrals over Rectangular Regions. 16.2 Double Integrals over General
Regions. 16.3 Double Integrals in Polar Coordinates. 16.4 Triple
Integrals. 16.5 Triple Integrals in Cylindrical and Spherical
Coordinates. 16.6 Integrals for Mass Calculations (just the basics, and more if
time allows). 16.7 Change of Variables in Multiple Integrals. (just the basics,
and more if time allows)
Stokes
Theorem. 17.8 Divergence Theorem.
All Exams are
done on Campus. No exception.
Grades: Grades will be assigned based
on 400 points distributions as follows:
Exam 1
100
points 05/19/2022
Exam 2
100 points
06/02/2022
Final Exam 100 points 06/16/2022
Homeworks :
60 points and Quizzes 40 points. The schedules for quizzes and HW
are available on Canvas
Most homework
will be online. You will need to purchase the access code.
Attenendance/Participation
(Arrive on time, less than 5 lectures missed and submit all your homework by the
due date): 5 bonus points
Final course grades will be distributed as follows:
Exams (Exam 1 and Exam 2): 50% of the final grade
Homework: 15% of the final grade
Quizzes: 10% of the final grade
Final exam: 25% of the final grade
The letter grade is assigned using the following scale (precentage-wise)
90-100A
87-89 A-
84-86 B+
80-83 B
76-79 B-
71-75 C+
65-70 C
50-64 D
0-49 F
Statement of
Exam Rules:
To prevent
cheating, I adopt the following exam rules.
1. Please bring
all back packs and gadgets to the front of the room before the exam. Absolutely
NO
electronic
devices in pockets or on the seat. Do NOT wear watches of any kind.
2. NO bathroom
breaks. So please use the bathroom before the exam.
3. NO hats or
hoodies.
4. I may move
people around randomly before the exam.
5. Please bring
your ID
Suggested
Problems: From Calculus: Early Transcendentals By Bernard Gillett, Lyle Cochran,
and William Briggs
You don't have to do all of these problems, but it is
better if you could solve most of them.
These are not
homework and will not be graded. It is only to help you practice, but some
homework problems may come from this list.
Homework will be
assigned via e-mail and will be turned in in class. You will usually be given at
least 5 days to complete your homework
|
Monday,
May 16. Deadline to drop a course with a DR grade |
|
REMINDER: There is never a penalty for asking.
There is no shame in trying and
not succeeding; however, there is shame in
not trying at all.
There will be a
quiz or homework every week. All homework assigned will be collected on
time.
Please silent
your beeper/cellular during the entire lecture. Cheating is forbidden by
university law and will not be tolerated.
Please NO MAKE
UP EXAM.
There are
many students who come to the Advising Center
because they thought they were in and attended classes for which
they were NOT registered or conversely stopped attending courses for which they
were registered but thought they had successful dropped. In the first
case they lose the credits for work completed; in the second case they received F0s and are held fee liable for
courses they thought no longer concerned them. Both of these misfortunes
could be avoided if student would merely review and print their class schedules
to make certain the estimation of their current enrollment matches reality.
Please review and print
your class schedule this week and thereafter if any changes are made to it (e.g.
add/ drop/ swap, etc.).
Syllabus
Honesty Statement:
FIU defines
academic misconduct in the Student Conduct and Honor Code (Code) as, “any act or
omission by a Student, which violates the concept of academic integrity and
undermines the academic mission of the University in violation of the Code.”
Code violations include, but are not limited to: academic dishonesty, bribery,
cheating, commercial use, complicity, falsification, and plagiarism. The Code is
available here: https://studentaffairs.fiu.edu/get-support/student-conduct-and-academic-integrity/student-conduct-and-honor-code/index.php
Assessment
Honesty Statement:
FIU defines
academic misconduct in the Student Conduct and Honor Code (Code) as any act or
omission by a Student, which violates the concept of academic integrity and
undermines the academic mission of the University in violation of the Code. Code
violations include, but are not limited to: academic dishonesty, bribery,
cheating, commercial use, complicity, falsification, and plagiarism. By checking
the box below, I am giving my word that I have not committed academic
misconduct.
There are many students who come to the Advising Center
because they thought they were in and attended classes for which
they were NOT registered or conversely stopped attending courses for which they
were registered but thought they had successful dropped. In the first
case they lose the credits for work completed; in the second case they received F0s and are held fee liable for
courses they thought no longer concerned them. Both of these misfortunes
could be avoided if student would merely review and print their class schedules
to make certain the estimation of their current enrollment matches reality.
FREE MATHEMATICS TUTORING SERVICES
The mathematic
department has a (free) tutoring program in GL 263 and GL 266, please contact
the Math/Stat department for the schedule. No appointment is needed for the
tutoring program.
PS: In an
effort to help you succeed in your academic courses, FIU utilizes an Early Alert
system. Instructors are now able to notify students' academic advisors if there
are concerns about class performance. If an alert is submitted, your academic
advisor will send you a message via your Student Dashboard (accessed via your
MYFIU page) to discuss ways to improve your performance. Please respond to any
communication you receive from your academic advisor about an early alert. Our
goal with this program is to help you to be successful by identifying any issues
as early on as possible and working to address them
Panther Book Pack Information
Every student is automatically
enrolled for the Panther Book Pack (http://bookpack.fiu.edu/) at the time that you register for classes. The program will cover
your textbooks for each course at a charge of $20 per credit hour. We suggest
that you compare this to the cost of all your required course materials. If this
total is higher than the Panther Book Pack Cost, you can opt out at any
point from the day you receive your Panther Book Pack email until three days
after the add/ drop date on the Academic Calendar for
that term. For the Spring 2022 this day is March 22.
All students must opt out if they do
not wish to participate.
You may opt-out via MyFIU by clicking on the Panther Book Pack tile and then
clicking the opt-out / opt-in toggle for the session you would like to change
your participation status for. If you have any further questions, please
check out the link above.
Covid related
policies:
As cases and
hospitalizations due to the Omicron variant continue to increase in our
community, we must unite and take necessary steps to prevent further spread.
. Daily and
before arriving to campus, complete the P3 app. Please check
your FIU email account and your Canvas course at least once a day. Email and
Canvas are the best ways for the university, and your professors, to contact
you.
� If you do not feel well, have tested
positive for COVID, or have been in contact with a person with COVID while not
yet being fully vaccinated, please do not come to class, immediately complete
the P3 app to notify the COVID Response Team or call them at 305-348-1919, and
contact me by email as soon as you can. To excuse absences for P3 failure/COVID,
please contact the COVID Response Team at 305-348-1919.
� A vaccinated, asymptomatic
individual exposed to a COVID positive person does not need to quarantine. They
need to continue to wear a mask. It is recommended to test 3-5 days post known
exposure. However, if at any time they become symptomatic, they need to test
immediately. If the test returns positive, they need to follow the COVID
positive protocol at that time.
� Please take every precaution to keep
yourself and others healthy. Per CDC guidelines, you are encouraged to get
vaccinated and strongly advised to wear a mask indoors and in public including
all FIU facilities.
� Missing excessive days may lead to
failing a class.
Some suggested problems from your Textbook. This is not Homework and it will not be graded.
|
13.1: 7, 20, 24, 26, 30,
37, 44, 57, 69, 77 13.2: 4, 15, 19, 23, 27, 29, 35, 41, 45, 71 |
| 13.3: 3, 13, 19, 31, 37, 40, 41, 47, 55, 71 |
| 13.4: 1, 2, 1 5, 18, 23, 30, 34, 41, 43, 61 |
| 13.5: 11, 16, 19, 27, 33, 39, 43, 45, 65, 70, 71, 73, 78, 83, 84, 90 |
| 13.6: 9, 23, 26, 31, 32, 54 |
|
14.1: 9, 13, 15, 19, 31,
33, 35, 41 14.2: 11, 19, 27, 53, 57, 65, 67, 71, 77, 81 14.3: 9, 13, 29, 41, 47 |
| 14.4: 11, 15, 23, 26, 35 |
| 14.5: 13, 15, 21, 25, 27, 51 |
|
15.1: 11, 17, 25, 41, 52 15.2: 11, 15, 17, 21, 25, 29, 31, 37, 49, 55, 71, 79 |
| 15.3: 1, 17, 33, 39, 41, 43, 48, 57; and 15.3.7, 15.3.11 from the test bank |
|
15.4: 9, 11, 21, 25, 27,
31, 32, 36, 43, 57; and 15.4.8, 15.4.11 from the test bank 15.5: 15, 25, 33, 35, 48, 61, 64, 69 |
| 15.6: 15, 17, 35, 39, 49, 55 |
| 15.7: 25, 31, 39, 45, 51, 59 |
|
16.1: 11, 23, 29, 31, 33,
43, 45, 47 16.2: 9, 37, 41, 45, 49, 51, 57, 63, 69, 73, 87; 16.2.3 from the test bank |
| 16.3: 11, 15, 25, 26, 28, 48, 49; 16.3.7 from the test bank |
| 16.4: 9, 15, 19, 41, 47, 49, 61; 16.4.4 from the test bank. 16.6: 19, 21, 23, 28, 31, 37 |
| 16.5: 15, 19, 23, 31, 41, 42, 45, 59 |
| 16.7: 23, 27, 33, 35, 41, 43 |
|
17.1: 10, 13, 27, 29, 35,
37 17.2: 23, 27, 42, 45, 49, 54; 17.2.17, 17.2.19, 17.2.23, 17.2.24 from the test bank |
| 17.3: 13, 17, 19, 31, 33, 41, 53; 17.3.2 from the test bank |
| 17.4: 31, 35, 39, 41, 47; 17.4.11 from the test bank |
| 17.5: 9, 12, 27, 31, 33; 17.5.2 from the test bank |
| 17.6: 25, 35, 43, 47 |
|
17.7: 7, 11, 16, 17 17.8: 17, 19, 21, 23. |
More Suggested Problems:
Section 13.1: 36, 42
Section 13.2: 13, 24, 30, 32, 38
Section 13.3: 22, 25, 28, 29, 35, 37, 64, 65
Section 13.4: 23, 27, 29, 32,
33, 35
Section 13.5: 11, 15, 17, 19, 21, 24, 31, 33, 35, 44, 46, 48, 51, 55,
57
Section 13.6: 15, 24, 27, 56, 54, 57