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Math 2210: 3

Coach  Richard “Michael” Oremus π Department of Mathematics  Office: Taylorsville-Redwood SI 028  Email: [email protected]  Phone: 801-957-4162  Website: CANVAS Dept. Website: https://slcc.edu/math

Grading Homework/labs 25% 4 Exams 50% Final 25%

Text: Calculus: Early Transcendentals, 7th edition Author: James Stewart, Brooks/Cole, Cengage Learning (publisher)

OBJECTIVE: Calculus III continues the study of vector-valued functions and motion in space; functions of two or more variables and there , multiple , vector fields, line integrals, Green’s and Stokes Theorems, and . This course will also emphasize a greater understanding of the applications of these topics.

MATERIALS: Besides the mentioned text, you will need to obtain the following for this class:

a) A basic scientific calculator (TI recommended) b) Computer access for software related to homework and projects (all software available online or in the Math Dept. Lab

Homework Each section has a homework assignment. Homework will come in a variety of forms including exercises from the book, projects, and analysis. Paper homework is due before the unit test (late homework not accepted after the unit test.) Submit your papers in a neat and orderly fashion—they will be evaluated. Sloppy or irritating papers will be returned unread with no credit. There are two aspects to a good paper: content and presentation. This course emphasizes both since they are equally important. I may return an assignment to be “polished” if I feel it needs help with presentation or accuracy. To do well in this course you must complete the homework. Learn the why’s of your homework, not just the how’s !!

Specifics on how homework is to be presented:

 All homework is to be done in pencil.  Not Accepted after unit test  Sloppy work will not be accepted.  Organized and well presented  Appropriate Theorems Referenced

Turn in your homework paper in the format indicated in the diagram below. Clearly separate problems and identify your answer, sometimes a box is appropriate. Present papers with pride—content and presentation are equally important.

Staple in upper Your Name left corner. Math 2210 Calculus 3 Problem Set

Opportunities: We will have 4 mid-term opportunities and a committee final to show off all that we have learned. It is a SLCC department policy that a student attaining a score of less than 60% on the final shall receive a grade no higher than “D” for the course. Of the 4 mid-terms the lowest will have count for 3% of your grade. The highest 3 will count for 47% of the grade.

GRADING: Grades will be awarded as follows; please do not argue your grade at the end of the semester. Plan ahead to earn the grade you deserve

A 100 - 93% C 76 - 73% A- 92 - 90% C- 72 - 70% B+ 89 - 87% D+ 69 - 67% B 86 - 83% D 66 - 63% B- 82 - 80% D- 62 - 60% C+ 79 - 77% E below 60%

Calculator Policy: Graphing calculators and computer algebra systems are useful tools for demonstrating concepts and facilitating problem solving. They are not a substitute for learning the fundamental concepts of this course. Some homework assignments and projects may require the use of a graphing calculator or other computer systems, but it is department policy that graphing calculators will not be allowed on quizzes, exams or finals.

Tutoring Center: The tutoring Center is a place to go to get free tutoring when needed. It is staffed with helpful math tutors who love to help students. The hours for the math lab are:

STUDY GROUPS: There is nothing harder in my opinion than going through a mathematics class solo. You should start now to form study groups. We will be doing a large amount of group work in class. Find someone in the class that you can work with and schedule regular hours during the week when you can get together and study. Do it ASAP!

Accomodations: Students with medical, psychological, learning or other disabilities desiring accommodations or services under ADA, should contact the Disability Resource Center (DRC). The DRC determines eligibility for and authorizes the provision of these accommodations and services for the college. Please contact the DRC at the Student Center, Suite 244, Redwood Campus, 4600 So. Redwood Rd, 84123. Phone: (801) 957-4659, TTY: 957-4646, Fax: 957- 4947 or by [email protected]

Title IX Information: 20 U.S.C.A. Section 1681 (a): TITLE IX “No person in the United States shall, on the basis of sex, be excluded from participation in, be denied benefit of, or be subjected to discrimination under any education program or activity receiving federal funds.” Examples of violations (but not limited to):  Sexual advances, requests for sexual favors and sexually motivated physical conduct  Overt or subtle pressure for sexual activity  Sexually offensive verbalization including remarks, “teasing”, slurs, and innuendo  Repeated inappropriate jokes or comments about sex or gender specific traits  Conduct that is demeaning or derisive and occurs substantially because of one’s gender  Sexual assault  Sexual Violence  Gender based disparate treatment

Violations can occur in any college environment, such as (but not limited to):

 Field Trips  Classrooms  Student Clubs  Athletics  Transportation  On Campus Events

If you have questions or concerns regarding your rights or responsibilities, or if you would like to file a Title IX complaint please contact: Students- Dr. Marlin Clark, Dean of Students, 801-957-4776, STC 276 A (Redwood) Employees or Community members- Ken Stonebrook, Title IX & Discrimination Manager, 801-957-5027, AAB 211G (Redwood) Online Reporting Form- http://www.slcc.edu/eeo/title-ix/complaint.aspx

Salt Lake Community College has a strong prohibition against RETALIATION! The college does not tolerate acts of retaliation against anyone for engaging in filing a complaint or participating in an investigation.

12 Vectors and the Geometry of Space 12.5 Equations of Lines and Planes 12.6 Cylinders and quadratic Surfaces

13 Vector Functions 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and 13.4 Motion in Space (velocity and accelerations)

14 Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 14.5 The 14.6 Directional Derivatives and Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers

15 Multiple Integrals 15.1 Double Integrals over Rectangles 15.2 Iterated Integrals 15.3 Double Integrals over General Region 15.4 Double Integrals in Polar Coordinates 15.5 Applications of Double Integrals (Optional- depending on time) 15.6 Surface Area 15.7 Triple Integrals 15.8 Triple Integrals in Cylindrical Coordinates 15.9 Triple Integrals in Spherical Coordinates 15.10 Change of Variables in Multiple Integrals

16 16.1 Vector Fields 16.2 Line Integrals 16.3 The Fundamental Theorem of Line Integrals 16.4 Green’s Theorem 16.5 Curl and Divergence 16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals 16.8 Stokes’ Theorem 16.9 The