MAT 211 Calculus III, Section 01, CN 28555
Spring 2022
Class meets MWF 11:30 AM - 12:55
PM, in SBS B203 (online on zoom for the first three weeks)
Instructor: Serban Raianu, office: NSM
E-108, office phone: (310) 243-3139, cell phone (657) 204-5612
e-mail address: sraianu@csudh.edu,
URL: http://math.csudh.edu/~sraianu;
office hours: (via zoom, the zoom meeting information will be announced on Blackboard)
Monday, Wednesday: 9:55 AM
– 11:25 AM, Friday: 2:30 PM – 3:30 PM, or by appointment.
Course
Description: MAT 211, Calculus III, covers from the
textbooks:
Multivariable
calculus: analytic geometry, scalar and vector products, partial
differentiation, multiple integration, change of coordinates, gradient,
optimization, line integrals, Green's theorem, elements of vector calculus.
Text:
CLP-3 Multivariable Calculus and CLP-4 Vector Calculus, by Joel Feldman,
Andrew Rechnitzer, Elyse Yeager, available
online at http://www.math.ubc.ca/~CLP/
Objectives: After
completing MAT 211 the student should be able to:
Prerequisites: MAT
193 or equivalent with a grade of "C" or better.
Grades: Grades will be based on two (zoom video or in person) meetings
15-minutes oral examinations (50% total), a comprehensive final examination (20%), and quizzes, homework, video
and other assignments (30%) for the remainder.
The exact grading system for your section is the following:
An oral examination will be conducted as follows:
Each student will have to be prepared to solve and explain
two homework problems from each homework assignment corresponding to each
lecture. A list of solved
chosen problems from each exam should be uploaded by the student on Gradescope before each exam (39 problems for exam 1, and 32
problems for exam 2). During the exam the instructor will choose one of the
problems, change the numbers or functions, then ask the student to solve the
problem and answer questions. Each of the two
oral exams will be graded on a scale from 1 to 25, then the sum of the
scores is denoted by E.
Homework will be due every week, the day
before quiz days, and each homework is worth 10 points. Each week one of the
problems from the homework due for that week will be selected and graded on a
scale from 0 to 4. The remaining 6 points will be awarded for completeness of
the homework assignment. Submitting solutions copied from the back of the book will
receive little or no credit. This is not forbidden but strongly discouraged,
since copying solutions will not prepare you for answering questions during the
oral examinations. It is forbidden to submit solutions obtained from other
sources, like websites or online solvers. The average of all homework scores is
denoted by H. Homework will be submitted as a pdf with your paper
work on Gradescope. There is no need to match
the pages with the problems when submitting the homework, see
https://www.youtube.com/watch?v=u-pK4GzpId0
Gradescope can be accessed from the link in
Content in your Blackboard course, and you can practice submitting your work on
Gradescope using the assignment called Submission
practice, which will remain open throughout the semester. You might be asked to
explain your work on a submitted problem. Failure to provide an explanation
might result in a score of zero for the entire homework assignment.
15 minutes quizzes will be given in principle
every week, and will be graded on a scale from 1 to
10. The average of the quizzes scores is denoted by Q. Each quiz will consist
of one problem, similar but not necessarily identical to one of the homework
problems assigned for that week.
There are also 10 points awarded for explaining one homework problem on video. This portion of the grade
is denoted by V. Videos will be due the day before quiz days and will have to
be uploaded on Flipgrid, which can be accessed from Blackboard.
The final exam, which
will consist of fifteen problems similar to problems
assigned as homework throughout the semester, will be graded out of a
maximum possible 20, then the score will be denoted by F.
To determine your final
grade, compute E+H+Q+V+F. The maximum is 100, and the grade will be given
by the rule:
A: 93‑100; A‑: 90‑92;
B+: 87‑89; B: 83‑86; B‑: 80‑82
C+: 77‑79; C: 73‑76; C‑: 70‑72; D+:
67‑69; D: 60‑66; F: Less than 60. You will be able to follow your
progress in the class in Blackboard under Grade Center throughout the semester.
Accommodations
for Students with Disabilities: California State University, Dominguez Hills adheres to all
applicable federal, state, and local laws, regulations, and guidelines with
respect to providing reasonable accommodations for students with temporary and
permanent disabilities. If you have a disability that may adversely affect your
work in this class, I encourage you to register with Student disAbility Resource Center (SdRC)
and to talk with me about how I can best help you. All disclosures of
disabilities will be kept strictly confidential. Please note: no accommodation
may be made until you register with the SdRC in WH
D-180. For information call (310) 243-3660 or to use telecommunications Device
for the Deaf, call (310) 243-2028.
Academic Integrity: The mathematics department does
not tolerate cheating. Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the Student
Development Office, or refer to the University Catalog for more information.
(Look in the index under "academic integrity".)
Technology: Symbolic calculators, such as
TI-89, TI-92 or TI-nspire CAS are not acceptable for
this course.
Exam and quiz rules: Students must email a picture of
their CSUDH student ID at the beginning of the semester, then they have to be on zoom with the camera on for the duration of
the quiz/exam. Cell phones, headphones, and browsing the internet (other
than connecting to Gradescope) may not be used at all
during tests.
Tentative schedule and homework assignments
M 1/24: Lecture 1.1: From CLP-3: 1.1 Points: 1,2,3; 1.2.1 Vectors,
add, multiply by scalar: 1,2,16
(6
problems)
W 1/26: Lecture 1.2: 1.2.2 Dot product: 3,6,7,21,22,23 (6 problems)
F 1/28: Lecture 1.3: 1.2.5 Cross product: 8,9,10,26,27,28,29 (7 problems)
M 1/31: Lecture 1.4: 1.3 Lines in 2d: 5,6,7; 1.4 Planes in 3d:
4,5,6,7,8; 1.5 Lines in 3d: 3,4,5,6,7
(13
problems)
W 2/2: Lecture 1.5: 1.6
Curves and their tangent vectors: 10,11,12,13,14,15,16,17 (8 problems)
F 2/4: Lecture 1.6: 1.7,1.8,1.9 Surfaces: 7,8,9,10,11 (5 problems)
M 2/7: Lecture 1.7: 2.1
Limits: 6,7,8,9,10,11 (6 problems)
W 2/9: Lecture 1.8: 2.2 Partial
derivatives: 3,4,5,6; 2.3 Higher order derivatives: 3,4,5 (7 problems)
F 2/11: Lecture 1.9: 2.4 Chain rule: 1,4,5,6,7,8,9 (7 problems)
M 2/14: Lecture 1.10: 2.5 Tangent planes and normal
lines: 5,6,7,8,9,10,11,12,13 (9 problems)
W 2/16: Lecture 1.11: 2.6 Linear approximation and error: 3,4,5,6,7 (5 problems)
F 2/18: Lecture 1.12: 2.7 Directional derivatives and the
gradient: 1,2,3,4,5,6,7 (7 problems)
M 2/21: Presidents’ Day Holiday
W 2/23: Lecture 1.13: 2.9
Maximum and minimum values: 4,5,6,15,16,17 (6 problems)
F 2/25: Lecture 1.14: 2.10 Lagrange multipliers: 3,4,5,6,7,8
(6 problems)
M 2/28: Lecture 1.15: 3.1 Double integrals: 1,2,3,4,5,6,7 (7 problems)
W 3/2: Lecture 1.16: 3.2 Double integrals in polar coordinates:
1,2,3,4,5,6,7,8,9,10 (10 problems)
F 3/4: Lecture
1.17: 3.3 Applications of double integrals:
2,3,4,5,6 (5
problems)
M 3/7: Lecture 1.18: 3.4 Surface area:
4,5,6,7,8,9,10 (7 problems)
W 3/9: Lecture 1.19: 3.5
Triple Integrals: 1,2,3,5,6 (5 problems)
F 3/11: Review
M 3/14: Oral Exam Week 1
W 3/16: Oral
Exam Week 1
F 3/18: Oral Exam Week 1
M 3/21: Lecture 2.1: 3.6
Triple integrals in cylindrical coordinates: 1,2,3,4,5,6,7,8 (8 problems)
W 3/23: Lecture 2.2: 3.7 Triple integrals in spherical coordinates:
1,2,3,4,5,6,7,8,9,10
(10 problems)
F 3/25: Lecture
2.3: From CLP-4: 1.1 Curves, derivatives,
velocity, etc.: 1,2,3,4,14,15,16,17
(8 problems)
M
3/28: Spring Recess
W 3/30: Spring Recess
F 4/1: Spring
Recess
M 4/4: Lecture 2.4:
1.2 Reparametrization:
1,2,3,4,5 (5 problems)
W 4/6: Lecture 2.5: 1.6 Integrating
along a curve: 1,2,4,5,6,7,8 (7 problems)
F 4/8: Lecture 2.6: 2.1 Vector fields,
definitions and first examples: 1,2,3,4,5,6,7,8 (8 problems)
M 4/11: Lecture 2.7: 2.3
Conservative vector fields: 1,2,3,4,5,6,7,8 (8 problems)
W 4/13: Lecture 2.8: 2.4 Line integrals:
3,4,5,6,8,9,10,11,12 (9 problems)
F 4/15: Lecture
2.9: 3.1 Parametrized surfaces: 1,2,3,4,5,6 (6 problems)
M 4/18: Lecture 2.10: 3.2 Tangent planes: 6,7,8,9,10,11,12 (7 problems)
W 4/20: Lecture 2.11: 3.3 Surface integrals: 4,5,6,7,8,9,10 (7 problems)
F 4/22: Lecture 2.12: 3.4 Interpretation of flux integrals: (from 3.3)
24,25,28,29,30,35,36
(7 problems)
M 4/25: Lecture 2.13: 4.1
Gradient, divergence and curl: 1,2,3,4,5 (5 problems)
W 4/27: Lecture 2.14: 4.2 The divergence theorem: 1,2,3,4,5 (5 problems)
F 4/29: Lecture
2.15: 4.3 Green’s theorem: 1,2,3,4,5,6,7,8 (8 problems)
M 5/2: Lecture 2.16: 4.4
Stokes’ theorem: 1,2,3,4,5,6,7 (7 problems)
W 5/4: Review
F 5/6: Oral Exam Week 2
M 5/9: Oral
Exam Week 2
W 5/11: Oral
Exam Week 2
F 5/13: Review
Final examination: Wednesday, May
18, 11:30 AM - 1:30 PM.
Important Dates:
|
January
24 |
Monday
|
Classes
Begin |
|
February 1 |
Tuesday |
Summer 2022 Graduation
Application Deadline (without late fee) |
|
February 4 |
Friday |
Instructor Drop Deadline |
|
February 9-10 |
Wednesday- Thursday |
Late Registration and Add/Drop
via Change of Program - fees due at time of registration |
|
February 10 |
Thursday |
Credit/No Credit and Audit
Grading Deadline |
|
February 10 |
Thursday |
Last Day to Drop from FT to PT
Status with Refund |
|
February 18 |
Friday |
Drop without Record of
Enrollment Deadline |
|
February 18 |
Friday |
Student Census |
|
February 19-April 22 |
Saturday-Friday |
Serious and Compelling Reason
Required to Withdraw |
|
February 21 |
Monday |
Presidents’ Day Holiday (No
Classes, Campus Open) |
|
March 7-May 24 |
Monday-Tuesday |
Spring 2022 Intersession
Registration |
|
March 14-July 8 |
Monday-Friday |
Summer 2022 Registration –
fees due at time of registration |
|
March 27-April 2 |
Sunday-Saturday |
Spring Recess (includes César
Chávez Holiday) |
|
March 29 |
Tuesday |
Last Day for Pro-rata Refund
of Non-Resident Tuition and Tuition Fees |
|
March 31 |
Thursday |
César Chávez Day Holiday (No
Classes, Campus Closed) |
|
April 15 |
Friday |
Summer 2022 Graduation
Application - Late Deadline (with late fee) |
|
April 18 |
Monday |
Fall 2022 Registration begins
via MyCSUDH |
|
April 23-May 13 |
Saturday-Friday |
Serious Accident/Illness
Required to Withdraw |
|
May 13 |
Friday |
Last Day of Scheduled Classes |
|
May 14 |
Saturday |
Grades Submission Begins |
|
May 14-20 |
Saturday-Friday |
Final Examinations |
|
May 20-21 |
Friday-Saturday |
Commencement (visit site for
more information) |
|
May 23 |
Monday |
Evaluation Day |
|
May 24, 3 pm |
Tuesday |
Final Grades Due (Extended
Education grades always due 72 hours after course end date) |