**MAT 211 Calculus III, Section 01, CN
41812 Fall 2017**

**Class meets MWF 1:00 PM - 2:25
PM in SBS D121**

**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,
Tuesday, Thursday: 12:55 PM - 1:55 PM, Friday: in the Toro Learning Center LIB
C121: 2:50 PM - 3:50 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.

**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.

**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 8/21:** 10.1
Three-Dimensional Coordinate Systems: 11, 20, 27, 33, 35

**W 8/23: **10.2 Vectors: 2, 15, 19,
21, 22, 29, 41

**F 8/25: **10.3 The Dot Product: 18,
23, 29, 31, 37, 41, 49, 50

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

**W 8/30: **10.5 Equations of Lines and
Planes: 3, 5, 7, 10, 22, 25, 35, 38, 44, 50, 56** **

**F 9/1:** 10.6 Cylinders and Quadric
Surfaces: 5, 9, 11, 13, 15, 30

**M 9/4: Labor
Day Holiday**

**W 9/6:** 10.7 Vector Functions and
Space Curves: 4, 9, 17-22, 67

**F 9/8: **10.8 Arc Length and Curvature: 1, 3, 10, 14, 18

**M 9/11: **10.9 Motion in Space:
Velocity and Acceleration: 3, 5, 15, 17, 19, 20, 24, 31

**W 9/13:** **Review**

**F 9/15: Exam
I**

**M 9/18:** 11.1 Functions of Several
Variables: 3, 21, 22, 41-46

**W 9/20: **11.2 Limits and Continuity:
3, 5, 7, 9,15, 24, 29

**F 9/22: **11.3 Partial Derivatives:
2, 8, 9, 23, 27, 45, 62d, 63

**M 9/25: **1.4 Tangent Planes and
Linear Approximations: 1, 4, 13, 20, 27, 29

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

**F 9/29:** 11.6 Directional Derivatives
and the Gradient Vector: 1, 3, 5, 9, 17, 30, 31, 44

**M 10/2: **11.7 Maximum and Minimum
Values: 3, 5, 23, 25, 33, 35, 39

**W 10/4:** 11.8 Lagrange Multipliers: 3,
7, 13, 15, 28

**F 10/6: **12.1 Double Integrals
over Rectangles: 3, 5, 9, 11, 13, 15, 17, 21, 23

**M 10/9:** 12.2 Double Integrals over
General Regions: 7, 11, 13, 15, 23, 27, 31, 41, 47

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

**F 10/13:** 12.4 Applications of Double
Integrals: 5, 11, 16, 23

**M 10/16: Review**

**W 10/18: Exam
II**

**F 10//20: **12.5 Triple Integrals: 7,
11, 13, 19, 31, 42

**M 10/23:** 12.6 Triple Integrals in
Cylindrical Coordinates: 3, 5, 7, 17, 21, 29

**W 10/25: **12.7 Triple Integrals in
Spherical Coordinates: 1, 3, 5, 7, 21, 23, 28, 33, 34

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

**M 10/30: **13.1 Vector Fields: 3, 5,
6, 11, 25

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

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

**M 11/6: **13.4
Green's Theorem: 1, 3, 7, 9, 13, 17, 21

**W 11/8:** 13.5 Curl and Divergence: 7,
11, 15, 17, 23, 25, 31, 32

**F 11/10: Veterans
Day Holiday**

**M 11/13:** 13.6 Parametric Surfaces and
Their Areas: 1, 3, 11-16, 19, 22, 31, 39

**W 11/15: Review**

**F 11/17:** **Exam
III**

**M 11/20: **13.7 Surface Integrals:
4, 9, 17, 23, 25, 27

**W 11/22: **13.8 Stokes' Theorem: 1, 3, 5,
7, 9a, 11, 13, 17

**F 11/24: Thanksgiving
Holiday**

**M
11/27: **13.9 The
Divergence Theorem: 1, 3, 5, 7, 11

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

**F 12/1: Review**

**M 12/4: Review**

**Final examination: Monday, December 11, 1:00 PM - 3:00 PM.**

Important Dates:

August
19-September 5 |
Saturday-Tuesday |
Late
Registration, Add/Drop (fees due 48 hours after registration) |

September 6-7 |
Wednesday- Thursday |
Late Registration, Add/Drop
(fees due at time of registration) |

September 1 |
Friday |
Instructor
Drop Deadline |

September 4 |
Monday |
Labor Day Holiday-Campus
Closed, No Classes |

September
7 |
Thursday |
Credit/No
Credit and Audit Grading Deadline |

September 7 |
Thursday |
Last Day to Drop from FT to PT
Status with Refund |

September
15 |
Friday |
Fall
2017 Graduation Application Deadline (with late fee) |

September 18 |
Monday |
Drop Without Record of
Enrollment Deadline |

September
18 |
Monday |
Student
Census |

September 19-November 9 |
Tuesday-Thursday |
Serious and Compelling Reason
Required to Drop/Withdraw |

September
26 |
Tuesday |
Fall
Convocation |

October 2 |
Monday |
Spring 2018 Graduation
Application Deadline |

October
16-January 19 |
Monday-Friday |
Spring
2018 Registration |

October 19 |
Thursday |
The Great California ShakeOut at 10:19 am |

October
20 |
Friday |
Last
Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees |

October 30-January 1 |
Monday-Monday |
Winter 2018 Registration |

November
10 |
Friday |
Veterans
Day Holiday Observed-Campus Closed, No Classes |

November 10-November 30 |
Friday-Thursday |
Serious Accident/Illness
Required to Drop/Withdraw |

November
23-26 |
Thursday-Sunday |
Thanksgiving
Day Holiday-Campus Closed, No Classes |

November 24 |
Friday |
Thanksgiving Break-Campus
Closed, No Classes (not a holiday) |

December
5 |
Tuesday |
Last
Day of Scheduled Classes |

December 6 |
Wednesday |
Study Day, No Classes |

December
7- 13 |
Thursday-
Wednesday |
Final
Examinations |

December 5 |
Tuesday |
Grade Submission Begins |

December
13 |
Wednesday |
Evaluation
Day |

December 18 |
Monday |
Spring 2018 Graduation
Application Deadline (with late fee) |

December
18, 3 pm |
Monday |
Final
Grades Due-*Extended Education grades always due
72 hours after course end date |

December 18 |
Monday |
Semester Ends |