Course Outcomes for the Math Track
The Learning Outcomes for the Mathematics Track of the Mathematics Major are given below. The Course-by-Outcomes Table (ABOVE) shows how the courses making up the Mathematics Track develop each of the Program Learning Outcomes. Finally, the main measures used to evaluate the success of the Program and locate any areas of concern can be found in the Program Assessment Measures.
Knowledge: We aim to produce individuals who
- K1. Understand mathematical concepts and theory, are able to apply them in various fields, and relate them to principles of Maharishi Vedic Science.
- K2. Appreciate the full range of mathematics from its deepest foundational levels, to its expressions in algebra, analysis, and geometry, to its applications in all areas of human endeavor.
- K3. Have a working knowledge of the elements of single and multivariable calculus, discrete mathematics, linear algebra, probability, abstract algebra, and real analysis.
Skills: We aim to produce individuals who are able to
- S1. Solve problems creatively in mathematics and its applications.
- S2. Use good number sense to decide whether answers are in the right ball park (orders of magnitude, rules of thumb), are meaningful (rounded appropriately, accuracy, extraneous roots, etc.), and are correct (checking answers when possible).
- S3. Construct rigorous proofs of mathematical theorems at the level of abstract algebra and elementary real analysis. Justify answers.
- S4. Critique and find errors in proofs, mathematical arguments, and solutions of problems of others.
- S5. Model natural phenomena and use mathematics effectively in the client disciplines such as engineering, physics, computer science, 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. Effectively use software such as Power Point, MS Word, and TeX to make lively and powerful oral and written presentations.
- S8. Communicate mathematics clearly and logically to others, both orally and in writing.
- S9. Find and evaluate sources of mathematical information, and integrate new knowledge into their knowledge base.
Values: We aim to produce individuals
- V1. Who are self-confident, both personally and mathematically.
- V2. Who behave in a harmonious, helpful, and uplifting way with others, including when working on group projects and when explaining mathematics to others.
- V3. Who exhibit positive attitudes towards personal growth and the daily habits that cultivate personal growth and success in life.
- V4. Who are clear on their personal strengths and career goals.
- V5. Who see mathematics 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.