### Learning outcomes common to the Major in Mathematics and all Minors

Students will develop knowledge and skills in the following categories:

- Analytic
- Formulate general principles from examples.
- Understand the role and limitations of axioms and assumptions.
- Interpret and draw inferences from mathematical models and results.
- Assess the accuracy and implications of mathematical results.
- Have a breadth of general knowledge as well as depth in at least one area.

- Problem-solving
- Make vague ideas precise by representing them in mathematical notation.
- Apply a range of mathematical and computational tools and techniques.

- Communication
- Formulate a precise mathematical statement from ideas.
- Be able to present a mathematical argument to the targeted audience.
- Write logically correct proofs in an abstract mathematical setting.

### Learning outcomes for the Major in Mathematical Data Science

- Develop proficiency with mathematical, statistical, and computational models and algorithms, along with programming languages and computing environments, to formulate and execute advanced data analyses.
- Obtain, process, clean, and organize data effectively.
- Plan and execute data intensive investigations to find solutions to problems or help make decisions.
- Interpret and effectively communicate data analysis findings in various formats.

### For our minors (applied math, mathematical finance, mathematical
physics, mathematical biology, etc.) and our Math modified with
Philosophy major, we have two additional learning outcomes:

- Have a breadth of knowledge in the associated field.
- Understand the interactions between mathematics and
the associated field and demonstrate the ability to apply mathematical
concepts and techniques to problems in that field.