MS in Applied and Computational Mathematics Mission, Objectives and Learning Outcomes
The MS in Applied and Computational Mathematics aims at providing a high quality teaching, research, and service to the university community, to Lebanon and the region in the application of mathematics to other disciplines. It seeks to educate students about interdisciplinary problems, to connect them with a broad range of sciences, and to engage them in problems motivated by other sciences.
Program Educational Objectives
The objectives of the MS in Applied and Computational Mathematics are:
- Students shall be exposed to the interactions between Applied Mathematics and other disciplines;
- Students shall acquire specialized knowledge in the areas of Numerical Analysis, Scientific Computing, Optimization, and Variational Analysis;
- Students shall gain the necessary skills and tools to mathematically model and solve real life related problems, both analytically and computationally;
- Students will be provided with the appropriate mathematical background for students who wish to pursue PhD studies in applied mathematics or other related fields.
Student Learning Outcomes
Upon completing the program, students shall be able to:
- Develop and demonstrate the ability to reason mathematically by constructing mathematical proofs, modeling and simulating real life problems
- Make conjectures and form hypotheses, test the accuracy of their work, and effectively solve problems analytically or numerically.
- Identify fundamental concepts of mathematics as applied to the sciences.
- Communicate mathematical ideas effectively in written and oral form.
- Acquire important techniques in Optimization and Control Theory
- Learn how the newly developed Nonsmooth Analysis theory surfaces in Optimization and control Theory.
- Apply the learned techniques, such as optimality conditions and algorithms, construction of smooth and nonsmooth feedback controls and solutions to Hamilton-Jacobi equations, to problems stemming from Engineering, Economics, etc.
- Select, develop, and apply appropriate numerical methods to estimate the solution of mathematical problems and to simulate applied problems arising in the sciences and engineering.
- Employ efficient and accurate programming and computing tools to solve applied problems.