Goals for Math Majors
What should a Mathematics major know, be able to do, and/or have achieved by graduation?
Critical Thinking / Logical Thinking Skills
- Assess correctness of solutions, create and explore examples, carry out mathematical experiments, and devise and test conjectures
- Organize logical arguments coherently, demonstrating clear reasoning
- Provide and evaluate the validity and relevance of evidence to support mathematical claims and conclusions
- Analyze and critique mathematical arguments, identifying strengths and weaknesses
- Identify, analyze, and apply patterns and connections within mathematics and across academic disciplines
- Move from concrete to abstract thinking and back with facility
Communication Skills
- Create clear, concise proofs that effectively communicate mathematical ideas
- Communicate mathematical topics to diverse audiences, adapting style and tone accordingly
- Develop a voice
Interdisciplinary Skills
- Develop collaboration skills
- Take intellectual risks by exploring unfamiliar mathematical territories and approaches
- Develop independence in thinking, problem-solving, and applying mathematical concepts creatively
- Cultivate a love of learning and enjoyment in mathematical exploration
- Build confidence in tackling interdisciplinary problems using mathematical tools and techniques
Math Conceptual Understanding and Skills
- Develop a strong foundational understanding of core mathematical concepts in calculus and linear algebra
- Explore advanced mathematical topics such asl analysis, algebra, geometry, computational mathematics, and mathematical modeling, gaining depth of understanding
- Practice technical skills through the use of mathematical and/or statistical software and typesetting tools like LaTeX
- Prepare for future pursuits by engaging in rigorous mathematical study and research, exploring career opportunities and recognizing the role of mathematical skills across various fields