The anticipated class size is between ten and fifteen. Students will need a great deal of feedback if they are to refine their ability to analyze the validity of a proof and learn to use mathematical language precisely enough to communicate their ideas. Much or most of class time will be devoted to discussion of assigned problems and theorems. Students will regularly turn in written assignments. Oral presentations of some of these assignments to the other students will be done.
Work involves reading, writing, and ascertaining the correctness of mathematical assertions.
The student should learn and understand the basic axioms and theory underlying topics listed in the course content section. To refine skills in reading, writing, and ascertaining the validity of mathematical proofs. Attendance and participation are an integral part of this course. Sporadic unannounced quizzes will be given to ensure that students are current with homework assignments. Three exams and a comprehensive final exam will be given.