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.

A student majoring in applied mathematics must design a program of study in consultation with his or her academic advisor. This should include identifying an area of application that the student plans to pursue, four mathematics electives relevant to this area, and a separate professional core of 12 credit hours of coursework to develop scientific background in this area. The program of study must explicitly list the mathematics electives and the professional core in the area of application.

Areas of research in applied mathematics well represented in the department include:

• Applied dynamical systems
• Applied probability and stochastic processes
• Imaging
• Life science
• Scientific computing

Learning Outcomes

• Students will be able to know the 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 demonstrate the capability of rigorous abstract thinking, and is able to set up a rigorous mathematical proof.
• Students will be able to know the key concepts of scientific computing: Accuracy, stability, computational complexity.
• Students will be able to know and able to use the key elements of scientific computing, including solving linear and non-linear equations, approximation, interpolation, numerical differentiation and quadrature rules.
• Students will be able to express a given problem in quantitative 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-applied-mathematics/