Math 224, Calculus IV
Instructor Information
Eric Schulz, 509-527-4281, Office #16A located on the first floor on the Main Building on WWCC's Walla Walla campus - located in lower left area of the 1st Floor building map. My office hours are 1:00 to 2:00 daily. Please contact me via email or phone to arrange an appointment if you are unable to come by during my normal office hours. I normally respond to email promptly during the day but rarely in the evenings and on weekends. If you send an email in the evenings or weekends I will reply as soon as I can on the following work day.Course Description
An introduction to multi-variable calculus. Topics for the course include: vector-valued functions, partial derivatives, directional derivatives, multiple integration, vector analysis, line and surface integrals, Green's theorem and Stoke's theorem.1. Work with two and three-dimensional vectors algebraically and geometrically: magnitudes, directions, dot products, vector products.
2. Graph, analyze, and perform calculus operations on two and three-dimensional parametric functions of a single variable.
3. Graph, analyze, and perform calculus operations on two and three-dimensional vector-valued functions of a single variable. Understand the connections between vectors representing position, velocity, and acceleration.
4. Analyze completely, and be able read, generate, and interpret graphs for functions of two or more variables: surface plots, contour plots, evaluate partial derivatives, find extremums, evaluate directional derivatives, and gradients.
5. Setup and evaluate multiple integrals over generalized domains of integration described in rectangular, polar coordinates, cylindrical, and spherical coordinates.
6. Setup, evaluate, and interpret line integrals and surface integrals.
7. Green's Theorem, the Divergence Theorem, and Stoke's Theorem.
Required Materials
Textbook: The textbook for the course is Calculus (Early Transcendentals), 1st edition, by Jon Rogawski, W.H. Freeman. The textbook is available in the WWCC Bookstore for approximately $120 and is used for all four calculus courses Math 124, Math 125, Math 126, and Math 224. We also have the opportunity to experience an online site called CalcPortal designed specifically for our text where the text is accessible in electronic form and additional supplements such as a student solution manual are accessible. Additional information about CalcPortal will be provided within a few days.Engineering Computation Paper: All handwritten work that is turned in for credit must be written on Engineering Computation Paper. The WWCC Bookstore, Whitman Bookstore, and Walla Walla University (College) Bookstore stock this paper.
Graphing Calculator: A graphing calculator will be required. It is assumed that all calculus students know how to use their graphing calculator. If this is not the case, then be sure to contact the instructor to arrange for a quick tutorial. Calculator usage will not be discussed in class.
Mathematica 6: We will be working with Mathematica 6 throughout the four course calculus series (Math 124/125/126/224), linear algebra (Math 220), and differential equations (Math 238). Mathematica 6 is accessible currently on computers in Room 207 and in the Math Lab. WWCC's Mathematica site license provides all WWCC students with their own copy of Mathematica 6 that can be installed on their own home computer - it will not be necessary to purchase a copy of Mathematica 6. All course related materials such as lecture notes, interactive mathematical explorations, handouts, assignments, exam reviews, exams, exam solutions, and the like are Mathematica 6 notebooks. We will begin working through an introductory tutorial for Mathematica 6 in the first and second weeks to become familiar with Mathematica with assigned activities coming thereafter.
Email Address: A valid email address that is read regularly is important. I prefer we all use WWCC's email addresses and avoid personal address (such as hotmail.com, gmail.com, yahoo.com, charter.net, etc.) in order to avoid issues related to spam filters used by email providers. Information about how to activate and use your WWCC Student Email Account can be found by going to WWCC's homepage and selecting Webmail in the Quick Links drop down list. As long as students and the instructor use their college email addresses course communication we can be reasonably assured that each others emails will not by blocked by a spam filter or moved into a junk mail folder.
Attendance
Attendance at every class session is expected. I understand absences are sometimes unavoidable and will work with students when such occasions arise. In the event of an absence occurring on the date of a scheduled exam, prior arrangements must be made in order to schedule another time to write the exam.Cell Phones, PDA's, and Computer use during class
Our classroom is equipped with computers that will be used during class sessions for material related to calculus. Unless directed to use a computer during class, the machines should not be used. This means that web surfing, checking your email, using social networking sites (MySpace, Facebook, etc.), etc. is off limits during class time.
Textbook Reading
Each assigned section of our textbook should be read completely. Rather than using the textbook as a simple collection of exercise sets you should try reading, highlighting, and studying the material between exercise sets! This use of a mathematics text is perhaps a novel idea for many students, but with the new terminology and ideas being presented in calculus I would highly recommend heavy usage of the text.Homeworks, projects, and exams
There will be four chapter exams and a comprehensive final exam. Each of the exams will be comprised of an in-class portion done on paper using your brain, pencil, and graphing calculator and a take-home portion that will require the use of Mathematica. As should be expected there will be additional homework problems assigned along with other projects that will often require the use of Mathematica.Grades
Course grades are simply a function of the percentage of possible points earned on all homeworks, projects, and exams.CoursePercentage = (SumOfPointsEarned)/(TotalOfPointsPossible)
You can easily monitor your current grade status using a piece of paper on which you keep a running tally of your point total and point possible, an Excel spreadsheet, or even a Mathematica notebook. Let p be the percent of the possible course points earned by a student, the course grade is then given in the following table:
93% <= p<=100% ->A
90% <= p <93% -> A-
87% <= p <90% -> B+
83% <= p < 87% -> B
80% <= p < 83% -> B-
77% <= p < 80% -> C+
70% <= p < 77% -> C
67% <= p < 70% -> D+
60% <= p < 67% -> D
0% <= p < 60% -> F