Prerequisite: Math 76 (Calculus II).
Hours: 3.
Text: Mathematical Proofs - A Transition to Advanced Mathematics by G. Chartrand & others, Addison-Wesley, ISBN 0-201-71090-0
Content: Mathematical notations, proofs (what they are, types of proofs, techniques), introduction to logic, equivalence relations, basic facts from set theory, number theory, and calculus, and their proofs.
See also the Catalog Description.
Course objectives
Upon completion of this course, students should know/understand:
Learning outcomes
Upon completion of this course, students will be able to do:
Grading policy: Your grade for the course will be based on your performance on exams and homework (more information on these below). The number of points awarded for these is as follows.
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Exams: There will be three tests (50 min. long each) and one final comprehensive exam (2 hours long). If for any reason you can not take a test at the scheduled time, please let me know as soon as possible, and certainly before the test. See schedule for exam dates. Solutions to past exams will be posted there in the future.
Class attendance is strongly encouraged. In addition to new material, important course information such as homework assignments will be given, homework will be collected, and sometimes handouts will be distributed in class.
There will be weekly homework due Wednesday at 12:00 pm for the MWF class, and due Thursday at 12:30 pm for the TTh class.
Occasionally you may submit your homework one day late (but not later than the next day after the homework is due because I will try to return graded papers and
often hand out solutions at our next class meeting). However, if you are sick or have an emergency, and unable to come to campus, please notify me and ask for a
longer extension.
You should write a complete solution, with all necessary proofs, and specific examples and counterexamples when
appropriate, for each problem. Unsupported answers may receive zero credit. All proofs must be rigorous (use the style
of proofs given in class and in the book).
Extra Help: It is essential not to fall behind, because most classes will use the material studied previously. If you have trouble with some material, seek help in the following ways:
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).
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.