Students who successfully complete the course will demonstrate undergraduate-level skills in the major fields of mathematics. Students will construct clearly written proofs using correct terminology, citing foundational theorems, and employing induction and contradiction, and demonstrate ability to determine the validity of proofs. Students will demonstrate ability to collect useful information concerning mathematical problems and organize it systematically, make reasonable conjectures, develop fruitful approaches toward problem solutions, and reach logical conclusions. Students will demonstrate, by oral and written presentation of mathematical topics, the skills of introducing principal concepts, using an organized structure and appropriate style and employing correct symbols and terminology.

- In the written final exam the student must demonstrate his/her knowledge of the course material and organise an effective and correctly written reply. - During the oral exam the student must be able to demonstrate his/her knowledge of the course material and discuss the reading matter thoughtfully and with propriety of expression.

Methods:

• Final oral exam
• Final written exam