Math 75. Mathematical Analysis I.   Spring, 2004.

Hours: 4.

Prerequisites: Elementary geometry, intermediate algebra, trigonometry, or Math 6 (Precalculus). Must meet the ELM requirement.

Textbook: Calculus, James Stewart, 5th edition.

Content: After a brief review of important functions, we study differential calculus, which is the mathematical method for analyzing changing quantities. Change is measured by, for example, slopes, velocities, acceleration, and, in general, derivatives. The precise definition of an instantaneous rate of change requires an understanding of limits, a notion which also leads to the understanding of what is meant by a continuously changing quantity. Techniques like the product, quotient, and chain rules enable efficient computation of derivatives which can then be applied to, among other things, the analysis of motion, rates of change, optimization problems, understanding the shape of a graph, and finding roots of equations. We then proceed to integral calculus. Integrals are used e.g. to evaluate areas, volumes, average value of a function, and work. We will learn basic techniques for evaluating integrals and see some applications. More integration techniques and applications will be studied in Math 76.

See also the Catalog Description.

Grading policy: Your grade for the course will be based on your performance on exams, quizzes, and homework (more information on these below). The number of points awarded for these is as follows.

Exams: There will be three hour tests and one final comprehensive exam. No calculators, books, or notes will be allowed on the tests. See schedule for exam dates. If for any reason you can not take an exam at the scheduled time, let me know as early as possible, definitely before the exam. Practice exams and solutions to past exams will be posted on the schedule page.

Class attendance is strongly encouraged. In addition to new material, important course information will be given in class, sometimes review sheets and practice exams will be handed out, and sometimes quizzes will be given. You may use your notes, but not books or calculators. Quizzes count toward your course grade. Quiz problems will be chosen from the list of recommended problems (see schedule). Quizzes will not be announced in advance, and no make ups will be given after the class. If for any reason you must miss a class, let me know in advance.

Homework comes in two forms. One form consists of WeBWorK problems. WeBWorK problems are done over the web and provide instant feedback as to whether you have done a problem correctly or not. When you have done a WeBWorK problem correctly, that fact is immediately recorded. WeBWorK problems are individualized for each student. So students may work together on the general method for solving problems; however, you are expected to do your own assignment. WeBWorK problems count for 35% of the total grade.

The other form of homework consists of recommended problems that are listed on the schedule. These problems do not contribute directly to your total grade, but some of these problems will appear on quizzes, and similar problems may appear on exams. It is important to do both the WeBWorK and recommended problems.

Final exam is comprehensive. In addition to doing the last (review) WeBWorK set and the paper practice final (see schedule), a good way to study for the final is to redo the tests. You should be able to do all the problems (and all similar problems) on the tests. Don't memorize how to do the problems on the midterms. Rather learn how to solve those type of problems. Next, make sure you can do all the problems on all the WeBWorK assignments. After that, you should review your notes and recommended homework problems.

All WeBWorK assignments (even the ones which are now closed) are available for practice and review. You can still do the problems and WeBWorK will tell you whether or not your answers are correct.

Extra Help: It is essential not to fall behind, because each lecture is based on previous work.  If you have trouble with some material, seek help in the following ways:

• Ask me, either in class or privately. My contact info is given on the course web page.
• Work with your classmates.
• Get help in the Mathematics Lab in EE 167.
• Use the Learning Assistance Center.

Students with disabilities: upon identifying themselves to the University, students with disabilities will receive necessary accommodation for learning and evaluation. For more information, see http://studentaffairs.csufresno.edu/ssd

Academic honesty: cheating and plagiarism will not be tolerated in this class. For information on the University's policy, see the University Catalog (section Policies and Regulations).

Disruptive Classroom Behavior: student conduct which disrupts the learning process will not be tolerated and may lead to disciplinary action and/or removal from class.