Download Transitions to advanced algebra and more Study Guides, Projects, Research Mathematics in PDF only on Docsity!
MATH 111 (3 units)
TRANSITION TO ADVANCED MATHEMATICS
Mo We 3:30 pm - 4:45 pm in PB 131 California State University, Fresno Fall 2013
Instructor : Dr. Stefaan Delcroix
Office: Peters Business 354
Phone: (559) 278-
E-mail : sdelcroix@csufresno.edu
Web Page: http://zimmer.csufresno.edu/∼sdelcroix
Office Hours: M 8:30am-10:30am, W 9am-noon
Prerequisites: MATH 76
Textbook : The Art of Proof, Matthias Beck & Ross Geoghegan, Springer, ISBN 978-1-4419- 7022-0.
Course Description: Introduction to the language and problems of mathematics. Topics include set theory, symbolic logic, types of proofs, and mathematical induction. Special emphasis is given to improving the student’s ability to construct, explain, and justify math- ematical arguments.
Course Goals: The goals of this class are for students to:
- form mathematical arguments with clarity, precision and accuracy.
- identify flaws in logical arguments.
- create correct logical arguments.
- use the basic techniques of proofs including induction, direct proof, proof by contra- diction, proof by contrapositive, and proof by cases.
- learn discrete counting techniques often used in proofs.
- solve problems which are continuous in nature.
- learn how to read and understand advanced mathematics.
Primary Learning Outcomes: In addition to the obvious goal of mastering the concepts listed in the course description, the student should be able to:
- identify methods of proof applicable to a given problem.
- successfully carry out simple proofs.
- understand the limitations of various proof methods.
- use multiple methods together to attack problems.
- move on to advanced mathematics courses with a solid foundation in proofs.
Grading Policy : I will use the following grading scheme :
A : 85% - 100% Homework : 20% B : 70% - 84% Exam I and II : 25% each C : 60% - 69% Final Exam : 30% D : 50%-59% F : 0% - 49%
Web Page: My web page is
http://zimmer.csufresno.edu/∼sdelcroix
It will contain important information about this course: homework assignments, solutions to homeworks and exams, etc.
Homework : I will assign homework almost every Wednesday. You will have one week to hand in the homework in class. No late homework will be accepted. You must turn in your own work for the homework. You are not allowed to look for solutions or proofs on the internet or in other books. The only way to learn how to write proofs is to write them your self!
Exams and Final : There will be two in-class exams and one in-class final. Each exam will cover a specific unit of material while the final is comprehensive. No notes or textbooks are allowed on the exams or final.
No make-up exams are given unless you have an extremely good reason for not taking the exam at the scheduled time. If possible, notify me ahead of time if you will not be able to take the exam at the scheduled time.
Attendance : Attendance is required! If you are absent from class, it is your responsibility to check on announcements made while you were absent.
