# Program Learning Outcomes

## Mathematics

**Bachelor of Science **

A Mathematics B.S. will develop a mastery of mathematics at the level that will allow them to be successful in

- a career that uses mathematics in business, industry or government, or
- teaching mathematics at the secondary level, or
- graduate study in mathematics or fields related to mathematics.

**Goal 1.** Graduates will have experience working with the ideas representing the breadth of the mathematical sciences. Students should see a number of contrasting but complementary points of view in the topics (continuous and discrete), techniques (algebraic and geometric), and approaches (theoretical and applied) to mathematics.

- Students will solve problems in multi-variable Calculus.
- Students will solve problems in Linear Algebra.
- Students will solve problems using both geometric and algebraic techniques.
- Students will apply mathematical techniques to solve real world problems in courses such as differential equations, mathematical statistics, probability, or mathematical modeling.

**Goal 2.** Graduates will develop mathematical thinking, progressing from a procedural/computational understanding of mathematics to a broad understanding encompassing logical reasoning, generalization, abstraction, and formal proof.

- Students will use the language of mathematics to prove theorems in theoretical junior/senior level courses.
- Students will engage in the practice of creating and verifying their own conjectures, rather than simply using provided formulas, in multiple courses throughout the mathematics curriculum.
- Students will read and comprehend articles or books from the mathematical literature. Students will demonstrate this outcome by incorporating ideas and results from the literature into their senior research projects.

**Goal 3.** Graduates will communicate mathematics to others in both oral and written form with precision, clarity and organization.

- Students will write a clear and well-organized paper on a mathematical topic.
- Students will give a clear and well-organized presentation on a mathematical topic.

**Goal 4.** Graduates will acquire sufficient knowledge and proficiency in the use of appropriate technology to assist in the learning and investigation of mathematics.

- Students will write multiple programs in at least one computer language.
- Students will use appropriate software packages, such as computer algebra systems, visualization software, or statistical packages, to assist them with solving problems, testing conjectures, or visualizing concepts.

**Goal 5.** Graduates will study at least one area of mathematics in depth, drawing on ideas and tools from previous coursework to extend their understanding.

- Graduates will complete two related courses (e.g. real analysis and probability/complex analysis/topology, number theory and abstract algebra, probability and statistics, or differential equations and advanced modeling) at the upper level. Students will solve problems in the second course that require integration of material from the first and second course.
- In addition, graduates will complete a senior level, capstone project that requires creating and analyzing mathematical arguments not previously seen in their coursework. Understanding of the chosen topic is shown through both an oral presentation and a written report.

Learning outcomes for all graduates of the College of Arts and Sciences