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:, URL:;

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


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


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


Classes Begin

February 1


Summer 2022 Graduation Application Deadline (without late fee)

February 4


Instructor Drop Deadline

February 9-10



Late Registration and Add/Drop via Change of Program - fees due at time of registration

February 10


Credit/No Credit and Audit Grading Deadline

February 10


Last Day to Drop from FT to PT Status with Refund

February 18


Drop without Record of Enrollment Deadline

February 18


Student Census

February 19-April 22


Serious and Compelling Reason Required to Withdraw

February 21


Presidents’ Day Holiday (No Classes, Campus Open)

March 7-May 24


Spring 2022 Intersession Registration

March 14-July 8


Summer 2022 Registration – fees due at time of registration

March 27-April 2


Spring Recess (includes César Chávez Holiday)

March 29


Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition


March 31


César Chávez Day Holiday (No Classes, Campus Closed)

April 15


Summer 2022 Graduation Application - Late Deadline (with late fee)

April 18


Fall 2022 Registration begins via MyCSUDH

April 23-May 13


Serious Accident/Illness Required to Withdraw

May 13


Last Day of Scheduled Classes

May 14


Grades Submission Begins

May 14-20


Final Examinations

May 20-21


Commencement (visit site for more information)

May 23


Evaluation Day

May 24, 3 pm


Final Grades Due (Extended Education grades always due 72 hours

after course end date)