# Department of Mathematics Goals

## Mathematical Practice

### P1. (Affection)

Students should appreciate the beauty, fun, and power of mathematics, and be able to articulate what mathematics is about and what mathematicians do.

### P2. (Application)

Students should be able to link applications and theory, and be able to apply mathematics in a variety of settings.

### P3. (Inquiry)

Students should develop mathematical independence and experience open-ended inquiry, so they have the competence and confidence to build on their knowledge base.

### P4. (Communication)

Students should develop effective thinking and communication skills.

### P5. (Technology)

Students should be able to use technological tools appropriately and effectively.

### P6. (Society)

Students should strive to be good citizens who understand the impact of their work on society.

### P7. (Teamwork)

Students should be able to function well as part of a team and have honed their leadership skills.

### P8. (Diversity)

Students should be able to work and communicate with diverse groups of people of varying abilities who come from a variety of cultures.

## Mathematical Content

### C1. (Breadth)

Students should be competent in a broad range of mathematical skills and topics.

### C2. (Perspective)

Students should demonstrate that they can see key mathematical ideas and concepts from a variety of perspectives, including the view from other disciplines, historical perspectives, and the contributions of diverse cultures.

### C3. (Duality)

Math majors should demonstrate that they can see key ideas from complementary points of view: continuous and discrete; algebraic and geometric; deterministic and stochastic; exact and approximate.

### C4. (Proofs)

Math majors should learn to reason mathematically and read, understand, analyze, and produce proofs.

### C5. (Tools)

Math majors should learn concepts and methods from data analysis, computing, and mathematical modeling.

### C6. (Depth)

Math majors should see at least one mathematical area in depth in a sequence of upper-level courses.

### C7. (Projects)

Math majors should work, independently or in a small group, on a substantial mathematical project that involves techniques and concepts beyond the typical content of a single course.

### C8. (Careers)

Math majors should be aware of careers in mathematics.

Approved February, 2017.