To develop skills in mathematical argument and proof. Students with a strong background and interest in mathematics. Students learn to work with abstract algebraic systems and are required to modify their thinking accordingly. Students focus on the role of definitions in mathematics and learn to appreciate the precision of language and thought in mathematics.
Students have the opportunity to investigate conjectures in an algebraic system.
Students are expected to attend class. If a student misses a class, it is the student's responsibility to complete any missed work and to obtain all information for the class missed. Students are expected to turn in all assignments on time. Students are expected to perform at the level of rigor and sophistication required in abstract algebra. Students are expected to prepare their written assignments with the clarity and precision appropriate for an upper-level mathematics course.