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