The student will be expected to have had some experience with the use of theorems and proofs in mathematical expositions as would be required by MA302. 5. The class size should be small. Students will need a great deal of feedback if they are to learn how to reliably 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 and will make oral presentations of some of these assignments to the other students in class.
Work involves reading, writing, and ascertaining the correctness of mathematical assertions.
The student should learn and understand the basic axioms and theory underlying standard examples of algebraic systems, including groups and rings. To refine skills in reading, writing, and ascertaining the validity of mathematical proofs. There will be two exams during the semester and a final. The exams will be based on the material treated in the assignments. The course grade will be based on grades on these exams and on homework assignments which will include both written and oral presentations.