MAT 211 Calculus III

MAT 211 Calculus III, Section 01, CN 41654 Fall 2016

Class meets MWF 1:00 PM - 2:25 PM in SBS A210

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

e-mail address: sraianu@csudh.edu, URL: http://math.csudh.edu/~sraianu;

office hours: Monday, Wednesday: 12:20 PM - 12:50 PM, 5:25 PM - 5:55 PM, Friday: in the Toro Learning Center LIB C121: 10:30 AM - 11:30 AM, in my office NSM E-108: 11:50 AM - 12:50 PM, or by appointment.

Course Description: MAT 211, Calculus III, covers Chapters 10-13 from the textbook:

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: James Stewart, Essential Calculus, second edition, Brooks/Cole, 2013.

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.
Apply calculus of several variables to solve problems of optimization, differential geometry and physics

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.

Accomodations 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 Disabled Student Services (DSS) 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 DSS in WH B250. 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

M 8/22: 10.1 Three-Dimensional Coordinate Systems: 11, 20, 27, 33, 35

W 8/24: 10.2 Vectors: 2, 15, 19, 21, 22, 29, 41

F 8/26: 10.3 The Dot Product: 18, 23, 29, 31, 37, 41, 49, 50

M 8/29: 10.4 The Cross product: 3, 11, 15, 19, 24, 28, 31, 35, 40, 45, 49

W 8/31: 10.5 Equations of Lines and Planes: 3, 5, 7, 10, 22, 25, 35, 38, 44, 50, 56

F 9/2: 10.6 Cylinders and Quadric Surfaces: 5, 9, 11, 13, 15, 30

M 9/5: Labor Day Holiday

W 9/7: 10.7 Vector Functions and Space Curves: 4, 9, 17-22, 67

F 9/9: 10.8 Arc Length and Curvature: 1, 3, 10, 14, 18

M 9/12: 10.9 Motion in Space: Velocity and Acceleration: 3, 5, 15, 17, 19, 20, 24, 31

W 9/14: Review

F 9/16: Exam I

M 9/19: 11.1 Functions of Several Variables: 3, 21, 22, 41-46

W 9/21: 11.2 Limits and Continuity: 3, 5, 7, 9,15, 24, 29

F 9/23: 11.3 Partial Derivatives: 2, 8, 9, 23, 27, 45, 62d, 63

M 9/26: 1.4 Tangent Planes and Linear Approximations: 1, 4, 13, 20, 27, 29

W 9/28: 11.5 The Chain Rule: 1, 3, 7, 10, 13, 19, 23, 25, 27, 32, 37

F 9/30: 11.6 Directional Derivatives and the Gradient Vector: 1, 3, 5, 9, 17, 30, 31, 44

M 10/3: 11.7 Maximum and Minimum Values: 3, 5, 23, 25, 33, 35, 39

W 10/5: 11.8 Lagrange Multipliers: 3, 7, 13, 15, 28

F 10/7: 12.1 Double Integrals over Rectangles: 3, 5, 9, 11, 13, 15, 17, 21, 23

M 10/10: 12.2 Double Integrals over General Regions: 7, 11, 13, 15, 23, 27, 31, 41, 47

W 10/12: 12.3 Double Integrals in Polar Coordinates: 5, 7, 11, 13, 17, 21, 23, 25

F 10/14: 12.4 Applications of Double Integrals: 5, 11, 16, 23

M 10/17: Review

W 10/19: Exam II

F 10//21: 12.5 Triple Integrals: 7, 11, 13, 19, 31, 42

M 10/24: 12.6 Triple Integrals in Cylindrical Coordinates: 3, 5, 7, 17, 21, 29

W 10/26: 12.7 Triple Integrals in Spherical Coordinates: 1, 3, 5, 7, 21, 23, 28, 33, 34

F 10/28: 12.8 Change of Variables in Multiple Integrals: 9, 15, 17, 18, 23, 27

M 10/31: 13.1 Vector Fields: 3, 5, 6, 11, 25

W 11/2: 13.2 Line Integrals: 1, 5, 7, 11, 16, 17, 19, 21, 31, 37, 43

F 11/4: 13.3 The Fundamental Theorem for Line Integrals: 1, 3, 5, 13, 17, 27, 29

M 11/7: 13.4 Green's Theorem: 1, 3, 7, 9, 13, 17, 21

W 11/9: 13.5 Curl and Divergence: 7, 11, 15, 17, 23, 25, 31, 32

F 11/11: Veterans Day Holiday

M 11/14: 13.6 Parametric Surfaces and Their Areas: 1, 3, 11-16, 19, 22, 31, 39

W 11/16: Review

F 11/18: Exam III

M 11/21: 13.7 Surface Integrals: 4, 9, 17, 23, 25, 27

W 11/23: 13.8 Stokes' Theorem: 1, 3, 5, 7, 9a, 11, 13, 17

F 11/25: Thanksgiving Holiday

M 11/28: 13.9 The Divergence Theorem: 1, 3, 5, 7, 11

W 11/30: 13.9 The Divergence Theorem: 17, 19, 25, 27, 29

F 12/2: Review

F 12/5: Review

Final examination: Monday, December 12, 1:00 PM - 3:00 PM.

Important Dates:

August 20-September 8	Saturday-Thursday	Late Registration, Add/Drop (fees due 48 hours after registration)
September 2	Friday	Instructor Drop Deadline
September 5	Monday	Labor Day Holiday-Campus Closed, No Classes
September 8	Thursday	Credit/No Credit and Audit Grading Deadline
September 8	Thursday	Last Day to Drop from FT to PT Status with Refund
September 15	Thursday	Fall 2016 Graduation Application Deadline (with late fee)
September 19	Monday	Drop Without Record of Enrollment Deadline
September 19	Monday	Student Census
September 20-November 10	Tuesday-Thursday	Serious and Compelling Reason Required to Drop/Withdraw
September 22	Thursday	Fall Convocation
October 3	Monday	Spring 2017 Graduation Application Deadline
October 17-January 20	Monday-Friday	Spring 2017 Registration
October 20	Thursday	The Great California ShakeOut at 10:20 am
October 21	Friday	Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees
October 24- January 2	Monday-Monday	Winter 2017 Registration
November 11	Friday	Veterans Day Holiday-Campus Closed, No Classes
November 11-December 1	Friday-Thursday	Serious Accident/Illness Required to Drop/Withdraw