Mesa Community College



Mesa Community College

Mat 241 Analytic Geometry and Calculus III

Mr. David Schultz

Fall, 2018 sections 24048, 25902

Instructor: Mr. David Schultz

Office: MC 187 message 480-461-7847 or email davvu41111@mesacc.edu

webpage: mesacc.edu/~davvu41111/

Office Hours: MTWRF 12:00 – 12:50

Class Location: MC-112 – (10 am class) MC-120 – (11 am class)

Class Days/Time MTWRF 10:00 – 10:50 (Friday is optional) or MTWRF 11:00 – 11:50 (Friday is optional)

Class Start Date: 8/20 Class End Date: 12/14

Required Text: Calculus: Early Transcendentals, 7th Edition, by James Stewart

Prerequisites: MAT 220 & MAT 231 with a “C” or better.

Attendance: Any student who misses 6 class periods will be withdrawn from the class and will earn a grade of W, Y, or F. If you must miss a class, make sure you leave a message for me at the phone number listed above or the noted email address. Communication is the key here.

Tardies: I expect you to be on time with all necessary supplies. Attendance will be taken 5-7 minutes into class and if you are not present you will be marked absent.

Homework: Homework will be done through Webassign and take-home assignments to be collected and graded. Assignment due dates will be posted on my webpage. An additional 30 points will be assigned for each project (a total of 2). There are no make-ups on the individual assignments. I do not accept late homework for any reason outside official school absences as outlined in the Student Handbook. Do your very best on the homework and turn it in on-time.

Tests: There are 5 exams. Make-ups are granted only in extreme cases and must be done in the Testing Center. Cheating of any kind will result in a zero grade for that assignment.

Semester Exam: The semester exam covers chapter 16 only. It must be taken at the assigned time.

Grading Scale: Grading Weights:

100% - 90% A

89% - 80% B Homework/Projects 30%

79% - 70% C 4 Chapter Tests 50%

69% - 60% D Semester Exam 20%

59% - 0% F

Note: Refer to the student handbook for other grading options. Note: All withdrawal dates and options will be strictly enforced.

Special Needs Students:

Information for Students with Accommodation Needs:  If you have a documented disability (as protected by the Americans with Disability Act) or if you are pregnant or parenting (as protected under Title IX) and would like to discuss possible accommodations, please contact the MCC Disabilities Resources and Services Office at 480-461-7447 or email drsfrontdesk@mesacc.edu.

Access to Course Materials: If you are experiencing difficulty accessing course materials because of a disability please contact your instructor.  All students should have equal access to course materials and technology.

Please request your accommodations through the MCC Disabilities Resources and Services Office at 480-461-7447 or email drsfrontdesk@mesacc.edu.

My Expectations of You: Calculus III requires both dedication to the learning of the topics and a strong desire to know not only the how but also the why. It is an exciting topic and in order to improve your chances of success I suggest the following:

1. Read each section ahead of time.

2. Complete the assigned homework problems & projects to the best of your ability.

3. Get help on those problems you do not understand! Options: Math Learning Center, office pod, myself.

4. Take good notes (they’ll come in handy in the future).

5. Be on time and come with an attitude of curiosity and scholarship.

6. Use technology as an aid for deeper exploration but expect to be able to defend all conclusions through algebraic methods.

7. Out of courtesy to both the instructor and your peers please turn off all pagers and cell phones.

My Commitment to You: I will provide timely feedback on your assignments and tests. I will also present the various topics using a diversity of delivery modes and will challenge you to utilize the most current and sophisticated technology.

Required Supplies: You must have a graphing calculator but may not use any calculator which can do symbolic manipulation or have wireless data transfer capabilities (TI-92, TI-89, some HP) for the exams. I also require work to be done in pencil not pen. Other items you should have are graph paper and a small 6” ruler. Additionally, you will be required top use various technologies for your project write-ups. Details will follow in class.

Internet Usage: You will be asked to access various websites in order to increase your knowledge breadth in the area of calculus materials. Details will follow in class. Glad to have you on board!

Mesa Community College is committed to the success of all our students. Numerous campus support services are available throughout your academic journey to assist you in achieving your educational goals. MCC has adopted an Early Alert Referral System (EARS) as part of a student success initiative to aid students in their educational pursuits. Faculty and Staff participate by alerting and referring students to campus services for added support. Students may receive a follow up call from various campus services as a result of being referred to EARS. Students are encouraged to participate, but these services are optional. The EARS web page can be located at or at the “Early Alert” selection at the MyMCC link from MCC's home page.

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|Course: MAT241 |Lecture   4 Credit(s)   4 Period(s)   4 Load   |

| |Course Type: Academic |

|First Term: 2011 Fall |Load Formula: S |

|Final Term: Current | |

Description: Multivariate calculus including vectors, vector- valued functions, partial differentiation, multiple integration and an introduction to vector fields. 

Requisites: Prerequisites: Grade of C or better in MAT230 or MAT231

Course Attributes:

General Education Designation: Mathematics - [MA]

Arizona Shared Unique Number SUN#: MAT 2241

|MCCCD Official Course Competencies |

|1. Solve geometry and physics problems using vectors. (I)  |

|2. Analyze the motion of an object using vector-valued functions. (II)  |

|3. Classify and analyze the behavior of functions of several variables. (III)  |

|4. Interpret the geometry of rectangular, polar, cylindrical and spherical coordinate systems. (I, II, III, IV)  |

|5. Solve optimization and other applied problems using partial derivatives. (III)  |

|6. Set up and compute double and triple integrals in any order of integration using rectangular, polar, cylindrical, and |

|spherical coordinates. (IV)  |

|7. Solve physical problems using line integrals and vector fields. (V)  |

|8. Compare alternate solution strategies, including technology. (I, II, III, IV, V)  |

|9. Communicate process and results in written and verbal formats. (I, II, III, IV, V) |

|  |

|MCCCD Official Course Outline |

|I. Vectors  |

|   A. Definitions  |

|   B. Operations and their properties  |

|   C. Representations of lines and planes  |

|   D. Applications  |

|II. Vector-Valued Functions  |

|   A. Definitions and representations  |

|   B. Limits  |

|   C. Derivatives  |

|   D. Integrals  |

|   E. Applications  |

|III. Functions of Several Variables  |

|   A. Representation of surfaces by  |

|      1. Contour diagrams (family of level curves)  |

|      2. Graphs in three dimensions  |

|      3. Appropriate technology  |

|   B. Limits and continuity  |

|   C. Partial derivatives and their applications  |

|   D. Optimization problems  |

|IV. Multiple Integrals  |

|   A. Visualizing the domain of integration  |

|   B. Order of integration  |

|   C. Change of variables  |

|      1. Cartesian coordinates  |

|      2. Polar coordinates  |

|      3. Cylindrical coordinates  |

|      4. Spherical coordinates  |

|   D. Applications  |

|V. Vector Fields and Line Integrals  |

|   A. Definitions  |

|   B. Properties  |

|   C. Applications  |

|   D. Surface integrals (Green`s Theorem and Stokes` Theorem)  |

|   E. Volume integrals (Gauss` Theorem)  |

|      2. Directional  |

|      3. Gradient and its relationship to level curves  |

|      4. Tangent plane  |

|   D. Optimization problems  |

|      1. Second partial derivative test  |

|      2. La grange multiplier methods  |

|IV. Multiple Integrals  |

|   A. Visualizing the region (plane or solid) of integration  |

|   B. Order of integration  |

|   C. Change of variables (from Cartesian to)  |

|      1. Polar coordinates  |

|      2. Cylindrical coordinates  |

|      3. Spherical coordinates  |

|   D. Applications  |

|V. Vector Fields  |

|   A. Line integrals  |

|      1. Definition and properties  |

|      2. Green`s theorem  |

|      3. Work done by a vector field over a curve  |

|   B. Surface integrals  |

|      1. Definition and properties  |

|      2. Gauss` divergence theorem  |

|      3. Flux of a vector field through a surface  |

|   C. Stoke`s theorem |

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