MAT 211 Calculus III, Section 01, CN 42106 Fall 2019


Class meets MWF 1:00 PM - 2:25 PM in LIB E133


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

e-mail address:, URL:;

office hours: Monday: 9:15 AM - 11:15 AM, Wednesday: 9 AM - 10 AM, Wednesday: in the Toro Learning Center: 10:15 AM - 11:15 AM, 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 three in‑class 80-minutes examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, attendance and other assignments (15%) for the remainder.

The exact grading system for your section is the following:

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: Cal State 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.
























Tentative schedule and homework assignments

M 8/26: From CLP-3: 1.1 Points: 1,2,3; 1.2.1 Vectors, add, multiply by scalar: 1,2,14,15

W 8/28: 1.2.2 Dot product: 3,4,5,20,21,22

F 8/30: 1.2.5 Cross product: 6,7,8,25,26,28

M 9/2: Labor Day

W 9/4: 1.3 Lines in 2d: 1,2,3; 1.4 Planes in 3d: 1,2,3,4,5; 1.5 Lines in 3d: 1,2,3,4,5

F 9/6: 1.6 Curves and their tangent vectors: 10,11,12,13,14,15,16,17

M 9/9: 1.7,1.8,1.9 Surfaces: 5,6,7,8,9

W 9/11: 2.1 Limits: 1,2,3,4,5,6,7

F 9/13: 2.2 Partial derivatives: 1,2,3,4; 2.3 Higher order derivatives: 3,4,5

M 9/16: 2.4 Chain rule: 1,2,3,4,5,6,7

W 9/18: 2.5 Tangent planes and normal lines: 1,2,3,4,5,6,7,8,9

F 9/20: 2.6 Linear approximation and error: 1,2,3,4,5,6

M 9/23: 2.7 Directional derivatives and the gradient: 1,2,3,4,5,6,7

W 9/25: Review

F 9/27: Exam I

M 9/30: 2.9 Maximum and minimum values: 4,5,6,15,16,17

W 10/2: 2.10 Lagrange multipliers: 2,3,4,5,6,7†††††††††

F 10/4: 3.1 Double integrals: 1,2,3,4,5,6

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

W 10/9: 3.3 Applications of double integrals: 1,2,3,4,5

F 10/11: 3.4 Surface area: 1,2,3,4,5,6,7

M 10/14: 3.5 Triple Integrals: 1,2,3,6;

W 10/16: 3.6 Triple integrals in cylindrical coordinates: 1,2,3,4,5,6,7,8

F 10/18: 3.7 Triple integrals in spherical coordinates: 1,2,3,4,5,6,7,8,9,10

M 10/21: From CLP-4: 1.1 Curves, derivatives, velocity, etc.: 1,2,3,4,14,15,16,17

W 10/23: 1.2 Reparametrization: 1,2,3,4,5

F 10/25: 1.3 Curvature: 1,2,3,4,5,6,7,8

M 10/28: 1.6 Integrating along a curve: 1,2,3,4,5,6,7 ≠≠≠≠≠≠≠

W 10/30: Review

F 11/1: Exam II

M 11/4: 2.1 Vector fields, definitions and first examples: 1,2,3,4,5,6,7,8

W 11/6: 2.3 Conservative vector fields: 1,2,3,4,5,6,7,8

F 11/8: 2.4 Line integrals: 1,2,3,4,6,7,8,9,10

M 11/11: Veterans day

W 11/13: 3.1 Parametrized surfaces: 1,2,3,4,5,6

F 11/15: 3.2 Tangent planes: 1,2,3,4,5,6,7

M 11/18: 3.3 Surface integrals: 1,2,3,4,5,6,7

W 11/20: 3.4 Interpretation of flux integrals: (from 3.3) 21,22,25,26,27,32,33

F 11/22: 4.1 Gradient, divergence and curl: 1,2,3,4,5

M 11/25: 4.2 The divergence theorem: 1,2,3,4,5

W 11/27: 4.3 Greenís theorem: 1,2,3,4,5,6,7,8

F 11/29: Thanksgiving Break

M 12/2: 4.4 Stokesí theorem: 1,2,3,4,5

W 12/4: Review

F 12/6: Exam III

M 12/9: Review


Final examination: Monday, December 16, 1:00 PM - 3:0≠≠≠0 PM.


Important Dates:


August 26


Classes Begin

August 26-September 10


Late Registration, Add/Drop (fees due 48 hours after registration)

September 2


Labor Day Holiday (No Classes, Campus Closed)

September 6


Instructor Drop Deadline

September 11


Fall Convocation

September 11-12


Late Registration, Add/Drop (fees due at time of registration)

September 12


Credit/No Credit and Audit Grading Deadline

September 12


Last Day to Drop from FT to PT Status with Refund

September 15


Fall 2019 Graduation Application Deadline (with late fee)

September 23


Drop Without Record of Enrollment Deadline

September 23


Student Census

September 24-November 15


Serious and Compelling Reason Required to Drop/Withdraw

October 1


Spring 2020 Graduation Application - Regular Deadline

October 17


The Great California ShakeOut at 10:17 am

October 21-January 20


Spring 2020 Registration

October 28


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

October 29-December 31


Winter 2020 Registration

November 11


Veterans Day Holiday (No Classes, Campus Closed)

November 16-December 6


Serious Accident/Illness Required to Drop/Withdraw

November 28


Thanksgiving Day Holiday (No Classes, Campus Closed)

November 29-December 1


Thanksgiving Break (No Classes, Campus Closed - Not a Holiday)

December 2-February 13


Spring Intersession 2020 Registration (Pell Grant eligible students)

December 2-May 20


Spring Intersession 2020 Registration (Students Not Using Pell Grant)

December 9


Last Day of Scheduled Classes

December 10-16


Final Examination

December 10


Grade Submission Begins

December 17


Evaluation Day

December 19


Spring 2020 Graduation Application Deadline (with late fee)

December 19, 3 pm


Final Grades Due (Extended Education grades always due 72 hours after course end date)