MAT 211 Calculus III, Section 01, CN 21704 Spring 2020

Class meets MWF 8;30 AM – 9:55 AM in SBS G122

Instructor: Serban Raianu, office: NSM E-108, office phone number: (310) 243-3139,

office hours: Monday: 10:15 AM - 12:15 PM, Wednesday: 10:15 AM – 11:15 AM, Wednesday: in the Toro Learning Center: 11:30 AM - 12:30 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 three in‑class 80-minutes examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, attendance and other assignments (15%) for the remainder.

Each of the three 80-minutes exams will be graded on a 100 scale, then the sum of the scores is divided by 5 and denoted by E.

Homework will be due every Monday, and each homework is worth 5 points. No late homework will be accepted. The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every Monday, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q.

There are also 5 points awarded for attendance and class participation. This portion of the grade is denoted by A.

The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.

To determine your final grade, compute E+H+Q+A+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.

Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.

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 rules: Students must leave their CSUDH student ID on their desk for the duration of the exam. Cell phones, iPhones, iPods, or PDAs of any kind, as well as headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes. No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken. Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.

Tentative schedule and homework assignments

W 1/22:           From CLP-3: 1.1 Points: 1,2,3; 1.2.1 Vectors, add, multiply by scalar: 1,2,14,15

F 1/24:             1.2.2 Dot product: 3,4,5,20,21,22

M 1/27:           1.2.5 Cross product: 6,7,8,25,26,27,28

W 1/29:           1.3 Lines in 2d: 5,6,7; 1.4 Planes in 3d: 2,3,4,5,6; 1.5 Lines in 3d: 3,4,5,6,7

F 1/31:            1.6 Curves and their tangent vectors: 10,11,12,13,14,15,16,17

M 2/3:             1.7,1.8,1.9 Surfaces: 7,8,9,10,11

W 2/5:             2.1 Limits: 6,7,8,9,10,11

F 2/7:              2.2 Partial derivatives: 2,3,4,5; 2.3 Higher order derivatives: 3,4,5

M 2/10:           2.4 Chain rule: 1,3,4,5,6,7,8

W 2/12:           2.5 Tangent planes and normal lines: 5,6,7,8,9,10,11,12,13

F 2/14:            2.6 Linear approximation and error: 3,4,5,6,7

M 2/17:           Presidents Day Holiday

W 2/19:           Review

F 2/21:            Exam I

M 2/24:           2.7 Directional derivatives and the gradient: 1,2,3,4,5,6,7

W 2/26:           2.9 Maximum and minimum values: 4,5,6,15,16,17

F 2/28:            2.10 Lagrange multipliers: 3,4,5,6,7,8

M 3/2:             3.1 Double integrals: 1,2,3,4,5,6,7

W 3/4:             3.2 Double integrals in polar coordinates: 1,2,3,4,5,6,7,8,9,10

F 3/6:              3.3 Applications of double integrals: 1,2,3,4,5

M 3/9:             3.4 Surface area: 4,5,6,7,8,9,10

W 3/11:           3.5 Triple Integrals: 1,2,3,5,6

F 3/13:            3.6 Triple integrals in cylindrical coordinates: 1,2,3,4,5,6,7,8

M 3/16:           3.7 Triple integrals in spherical coordinates: 1,2,3,4,5,6,7,8,9,10

W 3/18:           From CLP-4: 1.1 Curves, derivatives, velocity, etc.: 1,2,3,4,14,15,16,17

F 3/20:            1.2 Reparametrization: 1,2,3,4,5

M 3/23:           1.3 Curvature: 1,2,3,4,5,6,7,8

W 3/25:           Review  ­­­­­­­

F 3/27:            Exam II

M 3/30:           Spring Recess

W 4/1:             Spring Recess

F 4/3:              Spring Recess

M 4/6:             1.6 Integrating along a curve: 1,2,3,4,5,6,7

W 4/8:             2.1 Vector fields, definitions and first examples: 1,2,3,4,5,6,7,8

F 4/10:            2.3 Conservative vector fields: 1,2,3,4,5,6,7,8

M 4/13:           2.4 Line integrals: 2,3,4,5,7,8,9,10,11

W 4/15:           3.1 Parametrized surfaces: 1,2,3,4,5,6

F 4/17:            3.2 Tangent planes: 6,7,8,9,10,11,12

M 4/20:           3.3 Surface integrals: 4,5,6,7,8,9,10

W 4/22:           3.4 Interpretation of flux integrals: (from 3.3) 24,25,28,29,30,35,36

F 4/24:            4.1 Gradient, divergence and curl: 1,2,3,4,5

M 4/27:           4.2 The divergence theorem: 1,2,3,4,5

W 4/29:           4.3 Green’s theorem: 1,2,3,4,5,6,7,8

F 4/1:              4.4 Stokes’ theorem: 1,2,3,4,5,6,7

M 4/4:             Review

W 4/6:             Exam III

F 4/8:              Review

Final examination: Wednesday, May 13, 8:30 AM - 10:3­­­0 AM.

Important Dates: