**MAT 211 Calculus
III, Section 01, CN 22515 Spring 2013**

**Class meets MWF 10:00 AM - 11:25
AM in SBS E116**

**Instructor: **

**Office**: NSM A-123; **Office phone number**: (310) 243- 3139

**e****-mail
address**: sraianu@csudh.edu; URL: **http://www.csudh.edu/math/sraianu**;

**Office
hours**:
Wednesday: 4:00 p.m.-5:00 p.m., Friday: 1:00 p.m.- 4:00 p.m., or by
appointment.

**Course Description: **MAT 211, Calculus III, covers Chapters
13-17 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, Brooks/Cole, 2007. (Optional
further reading: the Multivariable Calculus handouts from http://www.math.uga.edu/~pete/expositions.html )

**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 hea

**Tentative
schedule and homework assignments**

**W 1/23:** 10.1
Three-Dimensional Coordinate Systems: 11, 20, 27, 33, 35

**F 1****/25: **10.2 Vectors: 2, 15, 19, 21, 22, 25, 33

**M 1/28: **10.3 The Dot Product: 16, 21,
23, 25, 31, 35, 43, 44

**W 1/30: **10.4 The Cross product: 3, 11,
15, 24, 27, 29, 31, 36, 39, 41

**F 2/1:** 10.5 Equations of Lines and
Planes: 3, 5, 7, 10, 21, 25, 33, 36, 42, 48, 54

**M 2/4: **10.6 Cylinders and Quadric
Surfaces: 4, 9, 11, 13, 15, 30

**W 2/6:** 10.7 Vector Functions and
Space Curves: 4, 9, 17-22, 65

**F 2/8: **10.8 Arc Length and Curvature: 1, 3, 8, 12, 16

**M 2/11: **10.9 Motion in Space:
Velocity and Acceleration: 3, 5, 15, 17, 19, 20, 24, 29

**W 2/13:** **Review**

**F 2/15: Exam
I**

**M 2/18: Presidents
Day Holiday**

**W 2/20:** 11.1 Functions of Several
Variables: 3, 21, 22, 41-46

**F 2/22: **11.2 Limits and
Continuity: 3, 5, 7, 9,15, 24, 29

**M 2/25: **11.3 Partial Derivatives:
2, 8, 9, 21, 25, 43, 58d, 59

**W 2/27: **11.4 Tangent Planes and Linear
Approximations: 1, 4, 13, 18, 25, 27

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

**M 3/4: ** 11.6
Directional Derivatives and the Gradient Vector: 1, 3, 5, 9, 17, 30, 33, 42

**W 3/6:** ** **11.7 Maximum and Minimum
Values: 3, 5, 23, 25, 33, 35, 37

**F 3/8: ** 11.8
Lagrange Multipliers: 3, 7, 13, 15, 25

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

**W 3/13:** 12.2 Double Integrals over
General Regions: 7, 11, 15, 19, 23, 27, 31, 35, 41

**F 3/15: **12.3 Double Integrals in
Polar Coordinates: 5, 7, 11, 13, 17, 21, 23, 25

**M 3/18:** 12.4 Applications of Double
Integrals: 5, 11, 14, 21

**W 3/20: Review**

**F 3/22: Exam
II**

**M 3/25: **12.5 Triple Integrals: 7,
11, 13, 19, 31, 40

**W 3/27:** 12.6 Triple Integrals in
Cylindrical Coordinates: 3, 5, 7, 17, 21, 27

**F 3/29: **12.7 Triple Integrals in
Spherical Coordinates: 1, 3, 5, 7, 21, 23, 26, 31, 32

**M 4/1: Spring
Recess**

**W 4/3: Spring
Recess**

**F 4/5: Spring
Recess**

**M 4/8:** 12.8 Change of Variables in
Multiple Integrals: 9, 11, 15, 17, 18, 19, 23

**W 4/10: **13.1 Vector Fields: 3, 5,
6, 11, 25

**F 4/12:** 13.2 Line Integrals: 1, 5, 7,
9, 13, 15, 17, 19, 27, 33, 37

**M/4/15: **13.3 The Fundamental
Theorem for Line Integrals: 1, 3, 5, 13, 17, 27, 29

**W 4/17:** 13.4 Green's Theorem: 1, 7, 9,
12, 15, 17, 21

**F 4/19: **13.5 Curl and Divergence:
7, 13, 15, 17, 23, 25, 31, 32

**M 4/22:** 13.6 Parametric Surfaces and
Their Areas: 1, 3, 19, 22, 31, 37, 39

**W 4/24: Review**

**F 4/26:** **Exam
III**

**M 4/29: **13.7 Surface Integrals:
4, 7, 15, 19, 23, 25

**W 5/1: **13.8 Stokes' Theorem: 1, 3,
5, 7

**F 5/3:** 13.8 Stokes' Theorem: 9,
11, 13, 15

**M
5/6: **13.9 The
Divergence Theorem: 1, 3, 5, 7, 9

**W
5/8: **13.9 The
Divergence Theorem: 13, 17, 19, 25, 27, 29**
**

**F 5/10: Review**

**Final examination: Monday, May 13, 10:00 AM - 12:00 PM.**

Important
Dates:

January 19-February 8* |
Saturday-Friday |
Change of Program and Add/Drop
Deadline |

January 21 |
Monday |
Martin Luther King Jr. Holiday-Campus
Closed |

February 1 |
Friday |
Instructor Drop Deadline |

February 8 |
Friday |
Credit/No Credit and Audit Grading Deadline |

February 8 |
Friday |
Last Day to Drop from FT to PT
Status with Refund |

February 15 |
Friday |
Drop without Record of Enrollment Deadline |

February 15 |
Friday |
Student Census |

February 16-April 18 |
Saturday-Thursday |
Serious and Compelling Reason Required to
Drop/Withdraw |

February 18 |
Monday |
President’s Day Holiday-No
Classes-Campus Open |

March 27 |
Wednesday |
Last Day for Pro-rata Refund of
Non-Resident Tuition and Tuition Fees |

April 1-April 6 |
Monday-Saturday |
Spring Recess (includes Cesar
Chavez Holiday) |

April 19-May 10* |
Friday-Friday |
Serious Accident/Illness Required to
Drop/Withdraw |

May 10 |
Friday |
Last Day of Scheduled Classes |

May 11 |
Saturday |
Study Day |

May 11-May 17 |
Saturday-Friday |
Final Examination |

May 14 |
Tuesday |
Grades Submission Begin |

May 17-May 18 |
Friday-Saturday |
Commencement |

May 21 |
Tuesday |
Evaluation Day |

May 22, 3 pm* |
Wednesday |
Final Grades Due |

May 22 |
Wednesday |
Semester/Academic Year Ends |