Mathematics Major Learning Outcomes

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Problem Solving Goal: Upon graduation, students will be conversant with a variety of mathematical subjects as well as techniques such as logical reasoning, electronic computation and modeling, as evidenced by independent and collective work.

For example, students will:

• perform complex tasks and solve complex problems from calculus, analysis, linear algebra, logic and a selection of other branches of mathematics;
• apply appropriate techniques, skills, tools and strategies to solve problems;
• use technology to deepen mathematical understanding and to enhance problem solving;
• construct and critique mathematical arguments;
• carry out rigorous mathematical reasoning.

Communication Goal: Upon graduation, students will be able to read, write and speak about mathematics with understanding and clarity, as evidenced by independent and collective work.

For example, students will:

• use mathematical terminology and notation precisely and appropriately;
• make oral and written presentations appropriate for an intended audience;
• locate, analyze, synthesize and evaluate information about a mathematical topic of interest.

Connections Goal: Upon graduation students will be able to solve problems in pure and applied mathematics contexts and problems originating outside of the field, as evidenced by independent and collective work.

For example, students will:

• see connections between mathematical patterns and techniques in order to make generalizations;
• demonstrate understanding of connections between different courses in mathematics, different areas of mathematics, and connections to other disciplines;
• use mathematics to formulate, model and solve problems originating outside of the classroom or the field of mathematics;
• recognize and express mathematical ideas embedded in other contexts.

Dispositions Goal: Upon graduation, students will exhibit positive dispositions towards mathematics and learning including persistence and ability to explore, generalize, and make conjectures, as evidenced by independent and collective work.

For example, students will:

1. pose and answer valuable questions in order to expand the boundaries of their knowledge of mathematics;
2. perceive mathematics as understandable, useful, beautiful and powerful;
3. demonstrate determination and perseverance in order to improve understanding and learn new mathematics;
4. demonstrate positive self-perception as effective learners and practitioners of mathematics.