All undergraduate degrees in the department are based on a four-course sequence in calculus and differential equations and have a computational component. The mathematics and applied mathematics degrees all require further mathematics courses in analysis and algebra. The statistics degrees all require a further statistics core. The applied mathematics program has a four-course professional core requirement to promote the understanding of how mathematics is applied in other fields. There are additional requirements particular to each degree program, including technical electives in the major. Each degree program requires a minimum of 120 credit hours.
The bachelor of science in mathematics differs from the bachelor of arts by requiring more hours in the major (although the same total hours for the degree). The extra requirements consist of additional mathematics technical electives as well as coursework in the sciences.
Learning Outcomes
- Students will be able to know fundamental concepts of linear algebra: Vector spaces, linear operators and matrices, four fundamental subspaces, matrix factorizations, and the solution theory of linear systems.
- Students will be able to correctly analyze the solvability of linear problems in practice, and is able to solve linear systems.
- Students will be able to know the fundamental concepts of calculus and classical mathematical analysis: Metric spaces, limits and convergence, continuity, and differential and integral calculus.
- Students will be able to demonstrates the capability of rigorous abstract thinking, and is able to set up a rigorous mathematical proof.
- Students will be able to know the fundamentals of abstract algebra: groups, rings, fields.
- Students will be able to know and is able to work effectively with the elements of abstract algebra, and use them effectively in proofs and calculations.
- Students will be able to express a given problem in mathematical terms, and/or finds the appropriate set of mathematical tools to tackle the problem, and/or is able to select and implement an algorithm that leads to the solution of the problem.
- Students will be able to communicate effectively the results to a non-expert in mathematics, and is able to put the work in the proper context
https://mathstats.case.edu/bachelor-of-science-in-mathematics/