- Master theoretical foundations based on mathematical rigor through proofs
- Apply mathematical theory to model and solve problems dealing with physical, natural and societal problems
- Use technology to solve computational problems, including simulation and visualization of mathematical models
- Majors should be able to adapt to different technology platforms that are useful for mathematical computing
- Majors should be able to make mathematical conjectures and use technology to support or refute these conjectures

- Provide clear and effective written and oral communication to diverse audiences
- Necessitates being able to read mathematics and communicate mathematics to other mathematicians.
- Also requires communicating mathematical results to a non-mathematical audience

- Develop content knowledge in a related discipline
- Majors should be able to apply their mathematics knowledge to other sciences and engineering
- Majors should be able to recognize mathematical ideas embedded in other contexts