# Learning Goals

## Content Goals

Students will demonstrate proficiency in the following areas of mathematics:

1. Calculus

2. Linear Algebra

3. Abstract Algebra

4. Real Analysis

Students will demonstrate proficiency in a variety of mathematical disciplines among the elective courses.

## Writing Goals

Students will demonstrate their ability to write mathematics by producing proofs that are logically correct and written in clear, concise English

## Mastery Goals

Students will demonstrate the following skills:

1. Understand and use the basics of mathematical logic.

2. Understand and apply a formal definition of a mathematical object, such as a group or a continuous function.

3. Be able to prove results using a variety of proof techniques, including direct proofs and proofs by contradiction, contraposition, and induction.

4. Solve problems by applying known results and techniques in a new context.