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Applied And Computational Mathematics johns Hopkins

The program in Applied and Computational Mathematics is dedicated to the study and development of mathematical disciplines that are specifically geared toward the complex problems that face modern society. Applied Analysis, Information Technology and Computation, Operations Research, Probability and Statistics, and Simulation and Modeling are just a few of the disciplines of applied mathematics covered in our program.

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A Focus area is not required for this program.  Students may choose to specialize in one of these areas, or tailor their courses to meet their individual needs.

applied and computational mathematics major, applied and computational mathematics PhD, applied and computational mathematics princeton, amongst many others. Be sure to visit our catalog for more information on similar topics.

applied and computational mathematics master’s

Program Requirements

Ten courses must be completed within five years. The curriculum consists of four core courses (including a two-term 700-level course sequence) and six electives. The six electives must include at least four from the program (625.xxx), with at least two of the four courses at the 700-level. Students are required to take at least one 700-level course outside of the core sequences.

CodeTitleCredits
Core Courses
EN.625.603Statistical Methods and Data Analysis3
EN.625.601Real Analysis3
or EN.625.609Matrix Theory
Select one of the following sequences
EN.625.717
& EN.625.718
Advanced Differential Equations: Partial Differential Equations
and Advanced Differential Equations: Nonlinear Differential Equations and Dynamical Systems 1
6
EN.625.721
& EN.625.722
Probability and Stochastic Process I
and Probability and Stochastic Process II
6
EN.625.725
& EN.625.726
Theory Of Statistics I
and Theory of Statistics II
6
1courses may be taken in either order

what is computational and applied mathematics

An independent study (EN.625.800 Independent Study ), research project (EN.625.801 Applied and Computational Mathematics Master’s Research–EN.625.802 Applied and Computational Mathematics Master’s Research), or thesis (EN.625.803 Applied and Computational Mathematics Master’s Thesis–EN.625.804 Applied and Computational Mathematics Master’s Thesis) may be substituted for one or two of the 700-level courses outside of the 700-level core sequence. Overall, given the requirements above, at least four 700- or 800-level ACM courses (625.xxx) must be completed. A student who has taken at least one semester of graduate statistics (outside of Applied and Computational Mathematics) may substitute another 625.xxx course for EN.625.603 Statistical Methods and Data Analysis with approval of the student’s advisor. The prior statistics course must be calculus-based and must cover the same general topics as EN.625.603 Statistical Methods and Data Analysis. Focus areas are not required for this program. Only one C-range grade (C+, C, or C–) can count toward the master’s degree. Course selections at the 800-level or outside of these core and focus area course lists are subject to advisor approval.

Courses

CodeTitleCredits
Undergraduate-Level Courses
EN.625.108Calculus I0
EN.625.109Calculus II0
EN.625.201General Applied Mathematics3
EN.625.240Introduction to Probability and Statistics3
EN.625.250Multivariable Calculus and Complex Analysis3
EN.625.251Introduction to Ordinary and Partial Differential Equations3
EN.625.252Linear Algebra and Its Applications3
EN.625.260Introduction to Signals and Systems3

Students may take selected courses above as desired (e.g., as a refresher) or as required via provisional admissions status. Applicants whose prior education does not include the prerequisites listed under Admission Requirements may still be admitted under provisional status, followed by full admission once they have completed the missing prerequisites. These 100- and 200-level courses are not for graduate credit, and do not count toward the degree or certificate requirements. Note that 625.250 fulfills a requirement for multivariable calculus (calculus III).

Courses by Focus Areas

The focus areas offered represent related groups of courses that are relevant for students with interests in the selected areas. The focus areas are presented as an aid to students in planning their course schedules and are generally applicable to students seeking a master’s degree; the more advanced courses within each focus area may also apply to the post-master’s certificate. A Focus Area can be selected, but is not required for this program. They do not appear as official designations on a student’s transcript or diploma.

CodeTitleCredits
Focus Areas
Applied Analysis
Information Technology and Computation
Operations Research
Probability and Statistics
Simulation and Modeling

Applied Analysis

CodeTitleCredits
EN.625.601Real Analysis3
EN.625.602Modern Algebra3
EN.625.604Ordinary Differential Equations3
EN.625.609Matrix Theory3
EN.625.611Computational Methods3
EN.625.680Cryptography3
EN.625.685Number Theory3
EN.625.687Applied Topology3
EN.625.690Computational Complexity and Approximation3
EN.625.703Complex Analysis3
EN.625.710Fourier Analysis with Applications to Signal Processing and Differential Equations3
EN.625.717Advanced Differential Equations: Partial Differential Equations3
EN.625.718Advanced Differential Equations: Nonlinear Differential Equations and Dynamical Systems3
EN.625.728Theory of Probability3
EN.625.800Independent Study3
EN.625.801
& EN.625.802
Applied and Computational Mathematics Master’s Research
and Applied and Computational Mathematics Master’s Research
6
EN.625.803
& EN.625.804
Applied and Computational Mathematics Master’s Thesis
and Applied and Computational Mathematics Master’s Thesis
6
EN.625.805
& EN.625.806
Applied and Computational Mathematics Post-Master’s Research
and Applied and Computational Mathematics Post-Master’s Research
6
EN.625.807
& EN.625.808
Applied and Computational Mathematics Post-Master’s Thesis
and Applied and Computational Mathematics Post-Master’s Thesis
6

Information Technology And Computation

CodeTitleCredits
EN.625.603Statistical Methods and Data Analysis3
EN.625.609Matrix Theory3
EN.625.611Computational Methods3
EN.625.615Introduction to Optimization3
EN.625.616Optimization in Finance3
EN.625.617Intro to Enumerative Combinatorics3
EN.625.618Discrete Hybrid Optimization3
EN.625.623Introduction to Operations Research: Probabilistic Models3
EN.625.633Monte Carlo Methods3
EN.625.638Neural Networks3
EN.625.661Statistical Models and Regression3
EN.625.665Bayesian Statistics3
EN.625.680Cryptography3
EN.625.685Number Theory3
EN.625.687Applied Topology3
EN.625.690Computational Complexity and Approximation3
EN.625.695Time Series Analysis3
EN.625.725Theory Of Statistics I3
EN.625.726Theory of Statistics II3
EN.625.734Queuing Theory with Applications to Computer Science3
EN.625.740Data Mining3
EN.625.742Theory of Machine Learning3
EN.625.743Stochastic Optimization & Control3
EN.625.744Modeling, Simulation, and Monte Carlo3
EN.625.800Independent Study3
EN.625.801
& EN.625.802
Applied and Computational Mathematics Master’s Research
and Applied and Computational Mathematics Master’s Research
6
EN.625.803
& EN.625.804
Applied and Computational Mathematics Master’s Thesis
and Applied and Computational Mathematics Master’s Thesis
6
EN.625.805
& EN.625.806
Applied and Computational Mathematics Post-Master’s Research
and Applied and Computational Mathematics Post-Master’s Research
6
EN.625.807
& EN.625.808
Applied and Computational Mathematics Post-Master’s Thesis
and Applied and Computational Mathematics Post-Master’s Thesis
6

Operations Reasearch

CodeTitleCredits
EN.625.603Statistical Methods and Data Analysis3
EN.625.609Matrix Theory3
EN.625.615Introduction to Optimization3
EN.625.616Optimization in Finance3
EN.625.617Intro to Enumerative Combinatorics3
EN.625.618Discrete Hybrid Optimization3
EN.625.623Introduction to Operations Research: Probabilistic Models3
EN.625.633Monte Carlo Methods3
EN.625.636Graph Theory3
EN.625.641Mathematics of Finance3
EN.625.642Mathematics of Risk, Options, and Financial Derivatives3
EN.625.661Statistical Models and Regression3
EN.625.662Design and Analysis of Experiments3
EN.625.663Multivariate Statistics and Stochastic Analysis3
EN.625.664Computational Statistics3
EN.625.665Bayesian Statistics3
EN.625.690Computational Complexity and Approximation3
EN.625.695Time Series Analysis3
EN.625.714Introductory Stochastic Differential Equations with Applications3
EN.625.721Probability and Stochastic Process I3
EN.625.722Probability and Stochastic Process II3
EN.625.725Theory Of Statistics I3
EN.625.726Theory of Statistics II3
EN.625.734Queuing Theory with Applications to Computer Science3
EN.625.740Data Mining3
EN.625.741Game Theory3
EN.625.743Stochastic Optimization & Control3
EN.625.744Modeling, Simulation, and Monte Carlo3
EN.625.800Independent Study3
EN.625.801
& EN.625.802
Applied and Computational Mathematics Master’s Research
and Applied and Computational Mathematics Master’s Research
6
EN.625.803
& EN.625.804
Applied and Computational Mathematics Master’s Thesis
and Applied and Computational Mathematics Master’s Thesis
6
EN.625.805
& EN.625.806
Applied and Computational Mathematics Post-Master’s Research
and Applied and Computational Mathematics Post-Master’s Research
6
EN.625.807
& EN.625.808
Applied and Computational Mathematics Post-Master’s Thesis
and Applied and Computational Mathematics Post-Master’s Thesis
6

Probability And Statistics

CodeTitleCredits
EN.625.603Statistical Methods and Data Analysis3
EN.625.617Intro to Enumerative Combinatorics3
EN.625.620Mathematical Methods for Signal Processing3
EN.625.623Introduction to Operations Research: Probabilistic Models3
EN.625.633Monte Carlo Methods3
EN.625.638Neural Networks3
EN.625.641Mathematics of Finance3
EN.625.642Mathematics of Risk, Options, and Financial Derivatives3
EN.625.661Statistical Models and Regression3
EN.625.662Design and Analysis of Experiments3
EN.625.663Multivariate Statistics and Stochastic Analysis3
EN.625.664Computational Statistics3
EN.625.665Bayesian Statistics3
EN.625.680Cryptography3
EN.625.690Computational Complexity and Approximation3
EN.625.692Probabilistic Graphical Models3
EN.625.695Time Series Analysis3
EN.625.710Fourier Analysis with Applications to Signal Processing and Differential Equations3
EN.625.714Introductory Stochastic Differential Equations with Applications3
EN.625.721Probability and Stochastic Process I3
EN.625.722Probability and Stochastic Process II3
EN.625.725Theory Of Statistics I3
EN.625.726Theory of Statistics II3
EN.625.728Theory of Probability3
EN.625.734Queuing Theory with Applications to Computer Science3
EN.625.740Data Mining3
EN.625.741Game Theory3
EN.625.742Theory of Machine Learning3
EN.625.743Stochastic Optimization & Control3
EN.625.744Modeling, Simulation, and Monte Carlo3
EN.625.800Independent Study3
EN.625.801
& EN.625.802
Applied and Computational Mathematics Master’s Research
and Applied and Computational Mathematics Master’s Research
6
EN.625.803
& EN.625.804
Applied and Computational Mathematics Master’s Thesis
and Applied and Computational Mathematics Master’s Thesis
6
EN.625.805
& EN.625.806
Applied and Computational Mathematics Post-Master’s Research
and Applied and Computational Mathematics Post-Master’s Research
6
EN.625.807
& EN.625.808
Applied and Computational Mathematics Post-Master’s Thesis
and Applied and Computational Mathematics Post-Master’s Thesis
6

Simulation And Modelling

CodeTitleCredits
EN.625.603Statistical Methods and Data Analysis3
EN.625.604Ordinary Differential Equations3
EN.625.615Introduction to Optimization3
EN.625.616Optimization in Finance3
EN.625.618Discrete Hybrid Optimization3
EN.625.620Mathematical Methods for Signal Processing3
EN.625.623Introduction to Operations Research: Probabilistic Models3
EN.625.633Monte Carlo Methods3
EN.625.638Neural Networks3
EN.625.641Mathematics of Finance3
EN.625.642Mathematics of Risk, Options, and Financial Derivatives3
EN.625.661Statistical Models and Regression3
EN.625.662Design and Analysis of Experiments3
EN.625.663Multivariate Statistics and Stochastic Analysis3
EN.625.664Computational Statistics3
EN.625.665Bayesian Statistics3
EN.625.690Computational Complexity and Approximation3
EN.625.695Time Series Analysis3
EN.625.714Introductory Stochastic Differential Equations with Applications3
EN.625.717Advanced Differential Equations: Partial Differential Equations3
EN.625.718Advanced Differential Equations: Nonlinear Differential Equations and Dynamical Systems3
EN.625.721Probability and Stochastic Process I3
EN.625.722Probability and Stochastic Process II3
EN.625.725Theory Of Statistics I3
EN.625.726Theory of Statistics II3
EN.625.728Theory of Probability3
EN.625.740Data Mining3
EN.625.741Game Theory3
EN.625.743Stochastic Optimization & Control3
EN.625.744Modeling, Simulation, and Monte Carlo3
EN.625.800Independent Study3
EN.625.801
& EN.625.802
Applied and Computational Mathematics Master’s Research
and Applied and Computational Mathematics Master’s Research
6
EN.625.803
& EN.625.804
Applied and Computational Mathematics Master’s Thesis
and Applied and Computational Mathematics Master’s Thesis
6
EN.625.805
& EN.625.806
Applied and Computational Mathematics Post-Master’s Research
and Applied and Computational Mathematics Post-Master’s Research
6
EN.625.807
& EN.625.808
Applied and Computational Mathematics Post-Master’s Thesis
and Applied and Computational Mathematics Post-Master’s Thesis
6

Electives

Two electives may be from the Applied and Computational Mathematics program or from another graduate program provided the courses have significant mathematical content. Electives from outside of the program must be approved by an advisor.

Please refer to the course schedule (ep.jhu.edu/schedule)  published each term for exact dates, times, locations, fees, and instructors.

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