Syllabus Math 77 Fall 2009

Note:

a. This as a web enhanced course. Approximately one half of material will be presented online.

All homework is turned in online. All standing office hours are online. If you would like to receive

text updates about course events send a text message with your name in the subject line from your

cell phone to dellad

b. Due to the budget crisis it may be necessary for you to purchase student copies of Mathematica

during the semester. At that time the Mathematica will cease to function in the lab

and students will need to download thier own copy from Wolfram

This course is a continuation of Math 76. The prerequisite is passing Math 76(or equivalent) with a "C" or better. To succeed in this course students must have good skills in differentiating algebraic, trigonometric, exponential and logarithmic functions. Students should also be able to use parametric equations and integrate both definite and indefinite integrals using methods contained in Ch 6 of your text .

Goals for this course: The instructor will

1. Introduce vectors for two and three-dimensional space.
2. Provide simple examples of descriptions of lines and planes using vectors.
3. Extend basic ideas of differential calculus to functions of several variables.
4. Extend integration of one variable to double and triple integrals of two or three variables.
5. Define line and surface integrals.
6. Make connections between line and surface integrals and double and triple intergral using Green's, Stoke's and Divergence theorems.
7. Introduce CAS Mathematica as a tool for both calculation and discovery

Student Learning Outcomes:

1. Calculate the Dot product and Cross Product for vectors
2. Find the vector equation of a line or plane
3. Find the arcc length and Curvature of a space curve
4. Calculate the limit of a function of several variables
5. Calculate the limit of a vector valued functions
6. Find the tangent plane of a surface that is the differentiable function of two variables
7. Approximate a function of several variables using a linear function
8. Calculate partial derivatives
9. Calcululate directional derivatives
10. Use partial derivatives to find the maximum and minimum of functions of several variables
11. Calculate double and multiple integrals using Cartesion, cylindrical and spherical coordinates
12. Calculate line and surface integrals
13. Calculate Div and Curl
14. Use Stoke's, Green's and Divergence Theorems to evaluate integrals
15. Do complex calculations and graphing using Mathematica

We will cover topics from Chapters 10-13 from Stewart's Essential Calculus Early Transcendentals. A CAS Mathematica will be used throughout the semester both to assist in difficult calculations and to help visualize various mathematical constructions. The Calculus sequence is required for many different majors. Students from other disciplines will in the future not be doing problems from a textbook. It is therefore important to expand problem solving capabilites through a CAS.

Meetings for this class will be done in three different ways. The first is the traditional classroom meeting. Second is synchronous. This will be by way of using Elluminate Live!. During this time we will all "gather " together online for class. This type of meeting is particularly useful when we are working with Mathematica. Elluminate Live! sessions require you to be logged on to your computer with internet access during the class period or during office hours.You also need to have Java enabled.We will be able to discuss problems, share computer applications and work problems just as in class. Although I will record the Elluminate sessions it is important for you to attend. Attendance will be taken during Elluminate sessions. Students can also request times to work together online using Elluminate Live!. All office hours will be held online using Elluminate Live! The instructor will be happy to setup times for students to work together.Third we will have occational recorded sessions . These sessions will focus on one narrow concept. The instructor will walk you through the topic and provide examples. Students can pause at any time during these recording and so they fit anyone's pace. These recordings are QuickTime Movies. Software necessary for viewing is available at no cost here. Each video will have a required discussion board.

Grading

Course Schedule is posted on Blackboard.

Course Policies

Exams are to be taken closed book and without outside assistance. Exams will be made available designated dates from 800-2000. You will have one hour to complete the exam. If you have a computer problem you should contact you instructor immediately. You will be given a cell phone contact number for use during the exam.

Students are responsible for keeping track of due dates in the class. A comprehensive calendar is posted on Blackboard.

University Policies

Students are prohibited from reading newspapers or other material not provided by the professor during class. Use of cell phones is also prohibited during class time. Lectures may be tape- recorded with permission from the professor. Students may bring visitors or guests to class if permission is first granted from the professor. In-class activities will require students to work
independently and in small groups.

Attendance: Students are expected to attend class and should contact the instructor regarding any absences, especially when there are extended absences due to illness, death in the immediate family, or other situations. In an emergency, students may contact the Dean of Students. Any missed exams, and/or assignments remain the responsibility of the student. (See “Student Affairs” section of the California State University, Fresno General Catalog.) Each person in the class will pair up with a ‘study buddy.’ Your buddy is responsible for sharing information with you if you should miss a class (i.e., collecting class handouts, noting important dates or schedule changes, etc…). If you are absent from class, it is your responsibility to check on announcements made while you were away. If a student misses a class and still has questions about lecture material after debriefing with their study buddy, it is the student’s responsibility to visit the professor during posted office hours.

Cheating and Plagiarism: “Cheating is the actual or attempted practice of fraudulent or deceptive acts for the purpose of improving one's grade or obtaining course credit; such acts also include assisting another student to do so. Typically, such acts occur in relation to examinations. However, it is the intent of this definition that the term 'cheating' not be limited to examination situations only, but that it include any and all actions by a student that are intended to gain an unearned academic advantage by fraudulent or deceptive means. Plagiarism is a specific form of cheating which consists of the misuse of the published and/or unpublished works of others by misrepresenting the material (i.e., their intellectual property) so used as one's own work.” Penalties for cheating and plagiarism range from a 0 or F on a particular assignment, through an F for the course, to expulsion from the university. For more information on the University's policy regarding cheating and plagiarism, refer to the Schedule of Courses (Legal Notices on Cheating and Plagiarism) or the University Catalog (Policies and Regulations)

Computers: “At California State University, Fresno, computers and communications links to remote resources are recognized as being integral to the education and research experience. Every student is required to have his/her own computer or have other personal access to a workstation (including a modem and a printer) with all the recommended software. The minimum and recommended standards for the workstations and software, which may vary by academic major, are updated periodically and are available from Information Technology Services (http://www/csufresno.edu/ITS/) or the University Bookstore. In the curriculum and class assignments, students are presumed to have 24-hour access to a computer workstation and the necessary communication links to the University's information resources.”

Disruptive Classroom Behavior: “The classroom is a special environment in which students and faculty come together to promote learning and growth. It is essential to this learning environment that respect for the rights of others seeking to learn, respect for the professionalism of the instructor, and the general goals of academic freedom are maintained. ... Differences of viewpoint or concerns should be expressed in terms which are supportive of the learning process, creating an environment in which students and faculty may learn to reason with clarity and compassion, to share of themselves without losing their identities, and to develop and understanding of the community in which they live . . . Student conduct which disrupts the learning process shall not be tolerated and may lead to disciplinary action and/or removal from class.”

Make-up Policy: Arrangements must be made PRIOR to the evaluation if for any reason you are unable to be present at the scheduled time. If you miss an exam due to an unexpected medical illness or emergency, you must email the professor before the scheduled exam time,and then provide (medical) documentation at or before the next class. If you do not email theprofessor before the exam time you will receive 0 points for the missed exam. All papers are to be handed in the day they are due. Papers will be accepted one day past the due date. However, these papers will be subject to an automatic deduction of 30%. Late papers beyond one day are not accepted. Makeup quizzes are not given.

Students with Disabilities: Upon identifying themselves to the instructor and the university, students with disabilities will receive reasonable accommodation for learning and evaluation. For more information, contact Services to Students with Disabilities in University Center Room 5 (278-2811).

Honor Code: “Members of the CSU Fresno academic community adhere to principles of academic integrity and mutual respect while engaged in university work and related activities.” You should:

a) understand or seek clarification about expectations for academic integrity in this course (including no cheating, plagiarism and inappropriate collaboration)

b) neither give nor receive unauthorized aid on examinations or other course work that is used by the instructor as the basis of grading.

c) take responsibility to monitor academic dishonesty in any form and to report it to the instructor or other appropriate official for action.

n.b. This syllabus subject to change.