Lectures: Section 5, BK 202, MW 1-2:15pm, Section 6, BK 202, MW 2:30-3:45pm

Instructor: Dr. Mihaela Vajiac Office: BK 403D

Office hours:TBA, will be posted on personal webpage http://www.chapman.edu/~mbvajiac. Email: mbvajiac@chapman.edu.

Text: (Single Variable) Calculus, Early Transcedentals by James Stewart, Volume I, Fifth edition, Brooks Cole, 2003. Topics covered: Limits and Continuity, Differentiation, Applications of these, Antiderivatives, Definite integrals, Applications.

Prerequisites: Math 104 or equivalent. Credits: 3

Objectives: The main objective for this course is to acquaint you with fundamental calculus concepts involving functions of one variable, and to help you understand and apply such functions in a variety of settings. We begin with a treatment of real valued functions of a single real variable. We shall meet lots of examples of functions, and learn how to visualize them. We then introduce the concept of a limit of a function as the input variable approaches a particular value. This leads to the important concept of continuity. Then we define the derivative of a function from an analytic point of view involving rates of change and from a geometric point of view involving slopes of tangent lines to graphs. These two interpretations of the notion of derivative lead to important applications of differential calculus. The applications include rates of change problems, optimization (max/min) problems, numerical applications (Newton's method), and more. Then we introduce the notion of an integral of a function and explain its meaning in various contexts. We estimate values of integrals from graphs and tables, and we present some applications of integration such as area, volume, work and average value. We conclude with the Fundamental Theorem of Calculus that explains concretely the connection between derivatives and integrals.
Much thought and persistent work on your part will be necessary in order to achieve this goal. Making a regular and concerted effort to read the textbook will be a key to success. To prepare for exams, it is also recommended that you try working as many problems from the book as possible. Condensed answers to the odd numbered problems can be found in the back of the book to assist you in determining whether your approach is correct. Questions are ALWAYS welcome during class periods and during office hours. Attendance at each class lecture and lab is required and expected.

Laboratory: Another objective of the course is to develop your ability to use a computer as a tool for doing mathematics. Some assignments will be given which will require you to use modern computer software available in the lab, where you will be taught how to use it. The purpose of the laboratory is to give you additional support and to help you master the material presented in lecture through a variety of methods. Grading for the laboratory will be based on assignments that you will be asked to carry out in the Lab(90%), as well as in-class participation (10%). The maximum number of points is 100.

Homework: Homework comes in two forms. One form consists of WeBWorK problems. WeBWorK problems are done over the web and they will be assigned weekly on the Moodle Course site. WeBWork will provide instant feedback as to whether you have done a problem correctly or not. When you have done a WeBWorK problem correctly, your credit for the problem is immediately recorded in the database. You are encouraged to discuss problems with other students, however WeBWorK problems are individualized for each student, so you must do your own assignment. WeBWorK problems count for 100 of the total 600 points. There will be approximately 12 WeBWork assignments, each consisting of 10-15 problems. I will drop the two lowest scores.
The second form of homework consists of supplementary practice problems that are listed on the schedule on the web on my web page as well as on Moodle. These problems contribute as extra credit points that are added to your total grade, up to a maximum of 4 percentage points, and each problem set will be due on the day of the midterm exam, the last due the day of the final. It is especially important to work on both the WeBWorK and supplementary practice problems in the same week.

Moodle: We will use a different web-based course management system called Moodle (at http://math.chapman.edu/moodle). This system has particular features for writing mathematical formulas, graphing functions, communicating in online discussions, as well as accessing your exam and HW grades, WeBWork and practice problems. You will be instructed how to access and use Moodle during the first lab. Every few weeks, you may be assigned problems to which you will write solutions within Moodle, much like the written homework.

Tests: Three in-class tests (100 points each) will be given. The dates for these tests will be anounced in class a week in advance. Implicit in your registration for this class is the affirmation that you will be present to take all examinations. No make-up exams will be given. Final exam: The final exam (200 points) is comprehensive and is scheduled for Section 5 on Friday, May 18th 2007, 1:30pm-4:00pm and for Section 6 on Monday, May 14th 2007, 10:45am-1:15pm. Important Note: As a general rule, there will be no make-up labs, no make-up tests.

Grading: Total 600 points, distributed as follows:

1. Midterm Tests: 200 points ((best 2 of 3) x 100)
2. Final Exam: 200 points
3. Labs: 100 points
4. Homework: 100 points

Disabilities: Any student in this course who has a disability that may prevent him or her from fully demonstrating his or her abilities, should contact me personally in the first week of classes so we can discuss accommodations necessary to ensure full participation and facilitate your educational opportunity.

Academic Integrity: Students are assumed to be familiar with the Academic Integrity Code. Any violations of this code will be strictly dealt with in accordance with this code. You are responsible for all the information discussed in class and in the appropriate sections of the text, unless told otherwise.