Math 75A. Mathematical Analysis with Review IA.   Fall 2005.

Hours: 4.

Prerequisites: Elementary geometry, intermediate algebra, trigonometry. Must meet the ELM requirement.

Textbooks:

• Stewart, Calculus (Early Transcendentals), 5th Edition.
• Ebersole et al., A Companion to Calculus, 2nd Edition.

Content: Inequalities, functions, graphs, limits, continuity, derivatives, and applications, with extensive review of algebra and elementary functions. Use of computer software as an exploratory tool.

Course objectives
Upon completion of this course, students should understand:

• The benefits and limitations of mathematical models.
• The concept of a limit.
• Continuous functions.
• The definition of a derivative as a limit of difference quotients.
• How to interpret the derivative in the context of real-world examples.

Learning outcomes
Upon completion of this course, students will be able to do:

• Use functions to represent changing quantities.
• Compute limits of algebraic expressions.
• Compute the derivative of any polynomial, rational function, trigonometric function, root function, exponential function, or any combination of such functions.
• Identify the ways in which a function can fail to have a derivative.

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 hand-written notes, but not calculators, books, or any printed or photocopied materials. 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 unless you were sick or had a family emergency. If for any reason you must miss a class, let me know in advance or bring a note from your doctor. Each quiz is worth 5 points. You will receive 1 point just for coming to class, and up to 4 points for your work.

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 approximately 35% of the total grade. (Click here to get to the WeBWorK login page. Your login name is the part of your CSUF email before "@" (e.g. my email is mnogin@csufresno.edu, so my login name is mnogin), and your initial password is your CSUF student ID number. If you experience any problems with the system, please let me know. You can use e.g. the computer lab in S2 321 to do your homework.

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 tests. 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.

Computers: At California State University, Fresno, computers and communication 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.

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 Tutor Lab in S2 323.
• 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.

Subject to Change: This syllabus and schedule are subject to change in the event of extenuating circumstances. If you are absent from class, it is your responsibility to check on announcements made while you were absent.