Program Overview

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Applied Mathematics and Statistics, Bachelor of Science

The department of Applied Mathematics and Statistics (AMS) offers a broad undergraduate and graduate curriculum that emphasizes several branches of applied mathematics, including:

• Probability: the mathematical representation and modeling of uncertainty
• Statistics: the analysis and interpretation of data
• Data Science: principled computational analysis of data
• Operations Research: the design, analysis, and improvement of operations and processes
• Optimization: the determination of best or optimal decisions
• Discrete Mathematics: the study of finite structures, arrangements, and relations
• Scientific Computation: all aspects of numerical computing in support of the sciences
• Financial Mathematics: deriving, analyzing, and extending mathematical models of financial markets

Research

The Applied Mathematics and Statistics faculty welcome students interested in doing research. The course EN.553.101 Freshman Experience in Applied Mathematics & Statistics is an excellent way to meet faculty in very small groups, and topics discussed might lead to research. Also, there is an upper-level class EN.553.401 Introduction to Research in Applied Mathematics and Statistics which guides students through the research process and has often led to publications in good journals and presentations at national conferences.

After Graduation

Students who have graduated with a degree in AMS have gone to many different fields, such as:

• Actuarial profession
• Analyst for a financial institution
• Operations research and consulting
• Biostatistician working with a pharmaceutical company
• Information security
• Applied mathematician in industry
• Applied mathematician in a policy/regulatory agency
• Data analyst
• Graduate school
• Medical school
• Law school

University Requirements

These requirements are described in this section of the catalogue.

WSE School Requirements

First-Year Seminar or Design Cornerstone Requirement

All WSE primary majors are required to complete a First-Year Seminar (FYS) or a Design Cornerstone class with a grade of Satisfactory (S).

• One FYS or Design Cornerstone course: 2-3 credits
• Total Credits: 2-3

Foundational Abilities Requirements

All students with a primary major within the Whiting School of Engineering must complete the Foundational Abilities (FA) in six designated areas. Grades of C- or higher are required.

FA1 Writing and Communication

• Foundational Course in Writing: AS.004.101 Reintroduction to Writing or EN.661.110 Professional Writing and Ethics: 3 credits
• Writing ePortfolio Assignment: courses with the EN Foundational Ability tag FA1.1eP

FA2 Scientific and Quantitative Reasoning

• Calculus I: AS.110.108 Calculus I (Physical Sciences & Engineering): 4 credits
• Calculus II: AS.110.109 Calculus II (For Physical Sciences and Engineering): 4 credits
• Probability and Statistics: EN.553.420 Probability and EN.553.430 Mathematical Statistics: 4 credits each
• Computing and Data Science: EN.500.113 Gateway Computing: Python: 3 credits
• Natural Science and Laboratory: one natural science lecture and its associated laboratory: 4-5 credits

FA3 Creative Expression

• Course with EN Foundational Ability tag FA3: 3 credits
• Total Credits: 3

FA4 Engagement with Society

• Course with EN Foundational Ability tag FA4: 3 credits
• Total Credits: 3

FA5 Ethical Reflection

• Foundational Course in Ethical Reflection: courses with the EN Foundational Ability tag FA5
• Ethical Reflection ePortfolio Assignment: courses with the EN Foundational Ability tag FA5eP

FA6 Conceiving of and Realizing Projects

• Conceiving of and Realizing Projects ePortfolio Assignment: courses with the EN Foundational Ability tag FA6eP

Major Requirements

All 600-level courses will fulfill the requirements of their 400-level equivalents. Honors-level courses will fulfill the requirements of their standard-level equivalents.

Calculus

• AS.110.108 Calculus I (Physical Sciences & Engineering): 4 credits
• AS.110.109 Calculus II (For Physical Sciences and Engineering): 4 credits
• AS.110.202 Calculus III: 4 credits
• Total Credits: 12

Linear Algebra

• AS.110.201 Linear Algebra: 4 credits
• AS.110.212 Honors Linear Algebra: 4 credits
• EN.553.291 Linear Algebra and Differential Equations: 4 credits
• EN.553.295 Linear Algebra for Data Science: 4 credits
• Total Credits: 4

Differential Equations

• AS.110.302 Differential Equations and Applications: 4 credits
• AS.110.421 Dynamical Systems: 3 credits
• EN.553.481 Numerical Analysis: 4 credits
• EN.553.491 Dynamical Systems: 4 credits
• EN.553.492 Mathematical Biology: 3 credits
• Total Credits: 3-4

Computer Languages and Programming

• EN.500.113 Gateway Computing: Python: 3 credits
• EN.500.112 Gateway Computing: JAVA: 3 credits
• EN.601.220 Intermediate Programming: 4 credits
• Total Credits: 3-4

Discrete Mathematics

• EN.553.171 Discrete Mathematics: 4 credits
• EN.553.172 Honors Discrete Mathematics: 4 credits
• EN.553.371 Cryptology and Coding: 4 credits
• EN.553.471 Combinatorial Analysis: 4 credits
• EN.553.472 Graph Theory: 4 credits
• Total Credits: 4

Computational and Numerical Mathematics

• EN.553.385 Introduction to Computational Mathematics: 4 credits
• EN.553.480 Numerical Linear Algebra: 4 credits
• EN.553.481 Numerical Analysis: 4 credits
• Total Credits: 4

Optimization

• EN.553.361 Introduction to Optimization: 4 credits
• Total Credits: 4

Probability

• EN.553.420 Probability: 4 credits
• EN.553.421 Honors Probability: 4 credits
• Total Credits: 4

Statistics

• EN.553.430 Mathematical Statistics: 4 credits
• EN.553.431 Honors Mathematical Statistics: 4 credits
• Total Credits: 4

Foundations

• EN.553.404 Foundational Methods in Applied Mathematics: 4 credits
• EN.553.405 Engineering Mathematics: 4 credits
• Total Credits: 4

Area of Focus

Complete two courses from one Area of Focus that are not used to meet the above requirements.

• Area of Focus Course 1: 3-4 credits
• Area of Focus Course 2: 3-4 credits
• Total Credits: 6-8

Computational Mathematics

• AS.110.445 Mathematical and Computational Foundations of Data Science: 3 credits
• EN.553.433 Monte Carlo Methods: 4 credits
• EN.553.480 Numerical Linear Algebra: 4 credits
• EN.553.481 Numerical Analysis: 4 credits
• EN.553.493 Mathematical Image Analysis: 4 credits

Discrete Mathematics

• AS.110.401 Introduction to Abstract Algebra: 4 credits
• AS.110.411 Honors Algebra I: 4 credits
• EN.553.371 Cryptology and Coding: 4 credits
• EN.553.463 Network Models in Operations Research: 4 credits
• EN.553.471 Combinatorial Analysis: 4 credits
• EN.553.472 Graph Theory: 4 credits

Financial Mathematics

• EN.553.427 Stochastic Processes and Applications to Finance: 4 credits
• EN.553.441 Equity Markets and Quantitative Trading: 3 credits
• EN.553.442 Investment Science: 4 credits
• EN.553.444 Introduction to Financial Derivatives: 4 credits
• EN.553.445 Interest Rate and Credit Derivatives: 4 credits
• EN.553.447 Quantitative Portfolio Theory and Performance Analysis: 4 credits

Optimization and Operations Research

• EN.553.362 Introduction to Optimization II: 4 credits
• EN.553.400 Mathematical Modeling and Consulting: 4 credits
• EN.553.453 Mathematical Game Theory: 4 credits
• EN.553.463 Network Models in Operations Research: 4 credits

Probability and Stochastic Process

• AS.110.405 Real Analysis I: 4 credits
• AS.110.415 Honors Analysis I: 4 credits
• AS.110.445 Mathematical and Computational Foundations of Data Science: 3 credits
• EN.553.426 Introduction to Stochastic Processes: 4 credits
• EN.553.427 Stochastic Processes and Applications to Finance: 4 credits
• EN.553.433 Monte Carlo Methods: 4 credits
• EN.553.492 Mathematical Biology: 3 credits

Statistics and Statistical Learning

• AS.110.445 Mathematical and Computational Foundations of Data Science: 3 credits
• EN.553.400 Mathematical Modeling and Consulting: 4 credits
• EN.553.402 Research and Design in Applied Mathematics: Data Mining: 4 credits
• EN.553.413 Applied Statistics & Data Analysis I: 4 credits
• EN.553.414 Applied Statistics and Data Analysis II: 3 credits
• EN.553.432 Bayesian Statistics: 3 credits
• EN.553.433 Monte Carlo Methods: 4 credits
• EN.553.436 Introduction to Data Science: 4 credits
• EN.553.439 Time Series Analysis: 3 credits
• EN.553.450 Computational Molecular Medicine: 4 credits

Sample Programs

Sample Program Starting with Calculus I

First Year

• First Semester:
  • AS.110.108 Calculus I: 4 credits
  • EN.553.101 Freshman Experience: 1 credit
  • EN.553.172 Discrete Mathematics: 4 credits
  • Natural Science Lecture: 3-4 credits
  • Natural Science Laboratory: 1 credit
  • FYS or Design Cornerstone: 2-3 credits
• Second Semester:
  • AS.004.101 Reintroduction to Writing: 3 credits
  • AS.110.109 Calculus II: 4 credits
  • EN.500.113 Gateway Computing: Python: 3 credits
  • Course with EN Foundational Ability tag FA3: 3 credits
  • Free Elective: 4 credits Second Year
• First Semester:
  • AS.110.202 Calculus III: 4 credits
  • EN.553.295 Linear Algebra: 4 credits
  • EN.661.250 Oral Presentations: 3 credits
  • Course with EN Foundational Ability tag FA5: 3 credits
• Second Semester:
  • EN.553.361 Introduction to Optimization: 4 credits
  • EN.553.420 Probability: 4 credits
  • Course with EN Foundational Ability tag FA4: 3 credits
  • Free Elective: 4 credits Third Year
• First Semester:
  • EN.553.399 ePortfolio Assignment: 3 credits
  • EN.553.430 Mathematical Statistics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Free Elective: 3 credits
• Second Semester:
  • EN.553.385 Introduction to Computational Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 4 credits Fourth Year
• First Semester:
  • Area of Focus Course 1: 3-4 credits
  • Course with EN Foundational Ability tag FA6eP: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits
• Second Semester:
  • Area of Focus Course 2: 3-4 credits
  • EN.553.404 Foundational Methods in Applied Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA6eP: 3 credits
  • Free Elective: 4 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits Total Credits: 120-124

Sample Program Starting with Calculus II

First Year

• First Semester:
  • AS.110.109 Calculus II: 4 credits
  • EN.553.101 Freshman Experience: 1 credit
  • EN.553.172 Discrete Mathematics: 4 credits
  • Natural Science Lecture: 3-4 credits
  • Natural Science Laboratory: 1 credit
  • FYS or Design Cornerstone: 2-3 credits
• Second Semester:
  • AS.004.101 Reintroduction to Writing: 3 credits
  • AS.110.202 Calculus III: 4 credits
  • EN.500.113 Gateway Computing: Python: 3 credits
  • Course with EN Foundational Ability tag FA3: 3 credits
  • Free Elective: 4 credits Second Year
• First Semester:
  • AS.110.302 Differential Equations: 4 credits
  • EN.553.295 Linear Algebra: 4 credits
  • EN.661.250 Oral Presentations: 3 credits
  • Course with EN Foundational Ability tag FA5: 3 credits
• Second Semester:
  • EN.553.361 Introduction to Optimization: 4 credits
  • EN.553.420 Probability: 4 credits
  • Course with EN Foundational Ability tag FA4: 3 credits
  • Free Elective: 4 credits Third Year
• First Semester:
  • EN.553.399 ePortfolio Assignment: 3 credits
  • EN.553.430 Mathematical Statistics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Free Elective: 3 credits
• Second Semester:
  • EN.553.385 Introduction to Computational Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 4 credits Fourth Year
• First Semester:
  • Area of Focus Course 1: 3-4 credits
  • Course with EN Foundational Ability tag FA6eP: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits
• Second Semester:
  • Area of Focus Course 2: 3-4 credits
  • EN.553.404 Foundational Methods in Applied Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA6eP: 3 credits
  • Free Elective: 4 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits Total Credits: 120-124

Sample Program with Hopkins Semester

This is one example of how a student could structure their degree program to include a Hopkins Semester. Students may explore additional options with their professional academic advisor if their desired Hopkins Semester experience varies from what is presented here. First Year

• First Semester:
  • AS.110.109 Calculus II: 4 credits
  • EN.553.101 Freshman Experience: 1 credit
  • EN.553.172 Discrete Mathematics: 4 credits
  • Natural Science Lecture: 3-4 credits
  • Natural Science Laboratory: 1 credit
  • FYS or Design Cornerstone: 2-3 credits
• Second Semester:
  • AS.004.101 Reintroduction to Writing: 3 credits
  • AS.110.202 Calculus III: 4 credits
  • EN.500.113 Gateway Computing: Python: 3 credits
  • Course with EN Foundational Ability tag FA3: 3 credits
  • Free Elective: 4 credits Second Year
• First Semester:
  • AS.110.302 Differential Equations: 4 credits
  • EN.553.295 Linear Algebra: 4 credits
  • EN.661.250 Oral Presentations: 3 credits
  • Course with EN Foundational Ability tag FA5: 3 credits
• Second Semester:
  • EN.553.361 Introduction to Optimization: 4 credits
  • EN.553.420 Probability: 4 credits
  • Course with EN Foundational Ability tag FA4: 3 credits
  • Free Elective: 4 credits Third Year
• First Semester:
  • EN.553.399 ePortfolio Assignment: 3 credits
  • EN.553.430 Mathematical Statistics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Free Elective: 3 credits
• Second Semester:
  • EN.553.385 Introduction to Computational Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA3 or FA4: 3 credits
  • Area of Focus Course 1: 3-4 credits
  • Free Elective: 4 credits Fourth Year
• First Semester:
  • Hopkins Semester: 15 credits
• Second Semester:
  • Area of Focus Course 2: 3-4 credits
  • EN.553.404 Foundational Methods in Applied Mathematics: 4 credits
  • Course with EN Foundational Ability tag FA6eP: 3 credits
  • Free Elective: 4 credits
  • Free Elective: 3 credits
  • Free Elective: 3 credits Total Credits: 120-124