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

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:

• Gain an intuitive understanding of functions of several variables via level curves and surfaces, and related concepts of limit, continuity and differentiability.
• Perform partial differentiation and multiple integration of functions of several variables.
• Change from Cartesian co-ordinates to polar, cylindrical or spherical co-ordinates and vice versa, perform differential (partial or ordinary) and integration (multiple or single) in curvilinear co-ordinate systems and effect transformation via the Jacobian.
• Utilize vectors to deal with spatial curves and surfaces, and calculus of several variables
• Understand and use the concepts of vector calculus: gradient, curl, divergence, line and surface integrals, Green's, Stokes' and the divergence theorem.

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.

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: