Applied Mathematics

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Local:$ 42.6 k / Year(s) Foreign:$ 42.6 k / Year(s) Deadline: Mar 1, 2025
121 place StudyQA ranking:5281 Duration:2 years

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The department offers programs leading to the Master of Science and the Doctor of Philosophy degrees. At the master’s level, students may pursue degrees in mathematics, applied mathematics, or statistics. At the doctoral level, students may pursue degrees in mathematics or applied mathematics.

A student must satisfy all of the general requirements of the graduate school as well as the more specific requirements of the department to earn either a master’s or doctoral degree. Each graduate student is assigned a faculty advisory committee during the first year of study. The committee’s primary responsibility is to help the student plan an appropriate and sufficiently broad program of course work and study that will satisfy both the degree requirements and the special interests of the student. With the aid of the advisory committee, each student must present a study plan indicating how he or she intends to satisfy the requirements for a graduate degree.

Applied Mathematics Breadth Areas

Analysis and Linear Analysis:  

MATH 471

Advanced Engineering Mathematics *  

MATH 423

Introduction to Real Analysis I  

MATH 405

Advanced Matrix Analysis  
Probability and its Applications:  

MATH 439

Integrated Numerical and Statistical Computations  

MATH 491

Probability I  
Numerical Analysis and Scientific Computing:  

MATH 431

Introduction to Numerical Analysis I  

MATH 432

Numerical Differential Equations  

MATH 433

Numerical Solutions of Nonlinear Systems and Optimization  
Differential Equations:  

MATH 435

Ordinary Differential Equations  

MATH 445

Introduction to Partial Differential Equations  

MATH 449

Dynamical Models for Biology and Medicine  
Inverse Problems and Imaging:  

MATH 439

Integrated Numerical and Statistical Computations  

MATH 440

Computational Inverse Problems  

MATH 475

Mathematics of Imaging in Industry and Medicine  
Logic and Discrete Mathematics:  

MATH 406

Mathematical Logic and Model Theory  

MATH 408

Introduction to Cryptology  
Life Science:  

MATH 441

Mathematical Modeling  

MATH 449

Dynamical Models for Biology and Medicine  

MATH 478

Computational Neuroscience  
*

Not suitable for credit towards the PhD requirements.

Other suitable courses for students in applied mathematics include:

MATH 424 Introduction to Real Analysis II 3
MATH 425 Complex Analysis I 3
MATH 427 Convexity and Optimization 3
MATH 428 Fourier Analysis 3
MATH 444 Mathematics of Data Mining and Pattern Recognition 3
MATH 475 Mathematics of Imaging in Industry and Medicine 3
MATH 492 Probability II 3

The student must pass a comprehensive oral examination on three areas, two of which must be on the list of breadth areas  (although no particular courses are specified). The third area for the examination may be any approved subject.

A student in the MS program in applied mathematics may substitute the comprehensive examination requirement with an expository or original thesis, which will count as 6 credit hours of course work. The thesis will be defended in the course of an oral examination, during which the student will be questioned about the thesis and related topics. These two variants correspond to the graduate school's Plan A and Plan B.

Requirements

  • Applicants must have a good academic record, e.g., a B-average or rank in the upper third of his or her graduating class at an institution whose status and programs are readily assessed.
  • Applicants must meet all of the undergraduate prerequisites for the proposed field of graduate study.
  • Statement of Objectives — Some programs have this built into the application. If not, create your own using "Statement of Objectives" as the heading. The statement should be one to two pages and include your purpose in undertaking graduate work as well as an explanation of your study and research interests as they relate to your undergraduate/graduate study and professional goals.
  • Academic Transcripts – You are required to identify all post-secondary educational institutions you have attended on your application form, and to submit an official transcript from each. Admission to the School of Graduate Studies is conditional on final certification of degrees awarded. Note to International Students: Documents in languages other than English must be accompanied by certified translations in English.
  • Letters of Recommendation - Three letters of recommendation must be submitted from those individuals sufficiently familiar with you, and who can assess your academic preparation, abilities and accomplishments. Letters should be from your most recent instructors in your proposed field of study. If you have been out of school for several years, one letter may be from your employer, supervisor or other person familiar with your most recent activities.
  • Test Scores – Your department will identify required standardized tests. When you fill out forms for these use 1105 as the institutional code for Case Western Reserve University. The School of Graduate Studies will forward all official score reports of standardized tests (GRE, TOEFL, etc.) to the program of interest. The department will inform you which standardized tests are required for your program. International students whose first language is not English must demonstrate English proficiency by taking the Test of English as a Foreign Language (TOEFL) and earn a minimum score of 577 if paper-based, or 90 if Internet-based. The International English Language Testing System (IELTS) is also accepted. The minimum acceptable score is 7.0. Some departments may require higher scores. International applicants cannot be admitted without receipt of an acceptable official TOEFL score. The TOEFL is valid for two years after the test date. The GRE is valid for five years after the test date.
  • Application Fee - A nonrefundable application fee of $50 is required for each application submitted.

Scholarships

  • Global Education
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