Different Functions, Series, Vectors

INTERMEDIATE ANALYSIS Math 224 (5 credits) Section AA, 10:00 – 10:50 AM daily Item number 5811 Spring 2009

FACULTY : Laura Moore-Mueller Office: SMT 326 Email: [email protected] Phone: (253) 833-9111 ext.4444 Web Site: http://www.instruction.greenriver.edu/LMmueller/ . Office Hours: Daily 9:00 - 9:50 OR by appointment Fax: (253) - 288 - 3464 Mailbox: My mailbox is located on the third floor of SMT behind the secretarial station.

TEXT: CALCULUS: Concepts and Contexts, Third Edition- James Stewart A graphing calculator will be required as will a working knowledge of Maple.

COURSE DESCRIPTION: Intermediate Analysis is the study of integral and differential calculus in two or more dimensions using real-valued as well as vector-valued functions. Finally we get to analyze real surfaces!!!

COURSE PREREQUISITES: Math 126 with 2.0 or better, or instructor’s permission. A graphing calculator will be required as will a working knowledge of Maple 10.

LEARNING GOALS: In this class the student will be expected to:

1. Understand calculus in three or more dimensions. 2. Determine equations of lines and planes in space. 3. Use calculus with vector-valued functions. 4. Use partial and directional derivatives. 5. Optimize multivariate functions. 6. Integrate functions in 2 or 3 dimensions. 7. Apply the gradient to real-world situations. 8. Understand the concept of multiple integrations with applications involving volume, surface area, and centroids. 9. Understand vector fields and the concepts of divergence and curl. 10. Utilize line integrals to determine applications within a vector field such as calculating the work required to move an object along a path within a vector field. 11. Understand the Fundamental Theorem of Calculus in a two-dimensional function using line integrals as introduced by Green’s Theorem. 12. Understand, interpret and communicate effectively in oral and written form. 13. Work cooperatively in groups: respect others’ ways of thinking, have confidence in your own knowledge, share information, pool knowledge, and listen effectively. 14. Develop problem solving skills: recognize the applicability of previously learned solutions to new problems, recognize and apply reverse reasoning (given the answer, what is the question), and develop an individual problem solving strategy. 15. Recognize that problems may have alternative solutions and that alternative techniques may be used to arrive at those solutions.

CAMPUS-WIDE OUTCOMES: GRCC has identified ability areas that we believe encompass knowledge and are the most important skills, behaviors, attitudes, and values that students will need in order to be successful during and after college. For a complete description of all of these outcomes, refer to the college catalogue. Among these ability areas, this class will address Responsibility, Quantitative/Symbolic Reasoning, Critical Thinking, and Written and Oral Communications. You will be assessed on these outcomes through classroom participation, activities, tests, projects and homework.

EXPECTATIONS: I expect you to participate fully in the class and in your own learning. This means being in class, on time, and completing all assignments. Collaborative learning in all its forms (group projects, study groups, etc.) is expected. Late assignments will be handled as follows:  If the assignment is received by 2 PM of the day it is due you will receive 80% of the final score.  If the assignment is received by 2 PM of the following day, you will receive 50% of the final score.  After 2 PM of the day following the due date, any assignments will be corrected but will receive a score of zero.

ASSESSMENT: Activities/homework: Periodically in class you will be working on either homework assignments or other problems. This work will be a group effort and will usually be turned in on the day you do the activity. Homework is assigned almost daily. You will be expected to keep your homework up-to-date and in a 3-ring notebook. Questions from homework will be entertained on an assigned day. Periodically, (several times each week) at the beginning of the period, you will be asked to turn in one problem chosen by me from your homework assignment. Answering a homework question from your fellow students on the board will take the place of one homework problem that is to be turned in. The lowest score from the homework problems will be dropped. Tests: Your tests are scheduled for taking in the Testing and Assessment Center (TAC) in the Welcome Center. The TAC is open from 8:00AM - 7: PM Tuesday, Wednesday and Thursday. Friday, the hours are 8:00 AM – 4:00 PM. Saturday, the hours are 8:00 AM – 12:00 PM. There will be class held at the regular time on these days. If an emergency occurs and you are unable to take a test, you must call or e-mail me by 9:00 AM the day of the test. In the case of an emergency, you will be allowed to make-up one test for the quarter. Projects: Two group projects will be assigned during the course of the quarter. You will work with one or two other students. More details on the projects will be included on another handout. Final: Your final exam will be in the classroom, on Friday, June 12, from 10:00 AM – 12:00 PM. The final will be a comprehensive exam. Grades are assigned as follows: Points Work 0 No attempt to do the problem. 1 Restating the problem, drawing a picture… 2 Some correct ideas. 3 Half correct ideas. 4 Mostly correct ideas. 5 Perfection. Categories of assessment are assigned as follows: Activities 20% Projects 15% Tests 45% Final Exam 20% DECIMAL GRADING: Green River uses numerical grading. Numerical equivalents of grades are listed below: 95-100% : 4.0 89 : 3.4 83 : 2.8 77 : 2.2 71 : 1.6 65 : 1.0 94 : 3.9 88 : 3.3 82 : 2.7 76 : 2.1 70 : 1.5 64 : 0.9 93 : 3.8 87 : 3.2 81 : 2.6 75 : 2.0 69 : 1.4 63 : 0.8 92 : 3.7 86 : 3.1 80 : 2.5 74 : 1.9 68 : 1.3 62 : 0.7 91 : 3.6 85 : 3.0 79 : 2.4 73 : 1.8 67 : 1.2 90 : 3.5 84 : 2.9 78 : 2.3 72 : 1.7 66 : 1.1 Below 62%: 0.0

OPERATING RULES:  Rule #1: Respect your classmates and instructor.  All cell phones, beepers and other noise makers will be turned off during class. You should know that GRCC policy officially prohibits the answering of pagers and cellular phones during class periods. This includes text-messaging. Although your instructor understands that emergencies may occasionally arise when sick family members or other crises are concerned, a repeated pattern of classroom interruption by electronic gadgets will be considered grounds for discipline.  Any disruptive behavior will not be tolerated as this detracts from the learning environment; this includes arriving late to class.  You have a responsibility to learn the material and I have a responsibility to teach the material. To make this happen your attendance and participation in class discussions is mandatory.  Remember that the only dumb questions are the ones not asked!  No cheating or plagiarism will be tolerated. Consequences range from receiving 0.0 on the assignment to receiving 0.0 for the class. In other words, academic honesty is expected. Repeated violations of any of these rules may lead to disciplinary actions.

SPECIAL NEEDS: If you need course adaptations or special accommodations because of a disability, if you have emergency medical information, or if you have special accommodations that need to be shared with me in the event that the building needs to be evacuated, please contact me. If you use an alternate medium for communicating please let me know as soon as possible so that appropriate accommodations can be made.

AN INVITATION: If you have any questions about the course or the assignments; or have any problems with due dates or your grade; or just want to talk, PLEASE make an appointment to see me during office hours or at an arranged time.

SIGN UP FOR E-MAIL: You may set up your e-mail 4U accounts at www.greenriver.edu/studentemail . This allows me to access each of you, send grades and notify you of calendar changes.