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Program Learning Outcomes for the BS in Mathematics

The Program Learning Outcomes for the BS in Mathematics are given below. The Course-by-Outcomes Table then shows how the courses making up the Mathematics and Physics Track develop each of the Program Learning Outcomes.

Knowledge: We aim to produce individuals who

  • K1. Understand basic concepts and theory of mathematics and physics, are able to apply them in various fields, and relate them to principles of Maharishi Vedic Science.
  • K2. Appreciate the full range of mathematics and physics from the deepest foundational levels to real-world applications in areas such as physics, engineering, business, art, and sustainable living.
  • K3. Have a working knowledge of the elements of single and multivariable calculus, linear algebra, and ordinary differential equations.
  • K4. Have a working knowledge of introductory classical mechanics, fluids, waves, electricity and magnetism, modern physics, and quantum mechanics.

Skills: We aim to produce individuals who are able to

  • S1. Solve problems creatively in mathematics, physics, and their applications.
  • S2. Use good number sense to decide whether answers are in the right ballpark (orders of magnitude, rules of thumb), are meaningful (rounded appropriately, accuracy, extraneous roots, etc.), and are correct (checking answers when possible).
  • S3. Understand proofs of major results, construct proofs of elementary results, justify solutions of problems.
  • S4. Critique and find errors in proofs, mathematical and physical arguments, and solutions of problems of others.
  • S5. Model natural phenomena and use mathematics effectively in disciplines such as engineering, physics, sustainable living and other life sciences, management, and business.
  • S6. Use appropriate software such as Graphing Calculator, Maple, Mathematica, Fathom, Geometer’s Sketchpad, and Excel to investigate concepts, ideas, and data.
  • S7. Use software such as PowerPoint, MS Word, and TeX to make lively and powerful oral and written presentations.
  • S8. Communicate mathematics and physics clearly and logically to others, both orally and in writing.
  • S9. Find and evaluate sources of information about mathematics and physics and integrate new knowledge into their knowledge base.

Values: We aim to produce individuals who

  • V1. Are self-confident, both personally and mathematically.
  • V2. Behave in a harmonious, helpful, and uplifting way with others, including when working on group projects and when explaining mathematics and physics to others.
  • V3. Exhibit positive attitudes towards personal growth and the daily habits that cultivate personal growth and success in life.
  • V4. Are clear on their personal strengths and career goals.
  • V5. See mathematics and physics as a normal, natural part of their own intelligence, and as a natural foundation for understanding the orderliness at the core of any phenomenon in nature and society.
  • V6. Appreciate the source of all knowledge in the Self.