This course builds on students' work in upper division mathematics to deepen their understanding of the mathematics taught in secondary school. Students will actively explore topics in the course and present their findings orally and in writing. In addition to deepening students' understandings of key concepts, emphasis will be placed on developing strong communication skills and skills in solving problems.
Evaluation of Students
Students are graded on the their ability to write clear explanations and proofs and to solve problems in the content area of the course. Their grade will be based on regular problem sets, a group project, oral reports on classwork, an in-class or take-home examination and a final examination.
|Topics||Number of Weeks|
|Topics from abstract algebra||4|
|Topics from linear algebra||2|
|Work with functions||2|
|Topics from real and complex analysis||4|
|Topics from probability and statistics||2|