Applied Mathematics Bachelor of science degree
Applied Mathematics
Bachelor of science degree
Breadcrumb
 RIT /
 College of Science /
 Academics /
 Applied Mathematics BS
585‑475‑5887, mecsma@rit.edu
Overview
A focus on the study of problems that can be mathematically analyzed and solved, including models for perfecting global positioning systems, analyzing costeffectiveness in manufacturing processes, or improving digital encryption software.
Applied mathematicians develop models for perfecting global positioning systems, analyzing costeffectiveness in manufacturing processes, or improving digital encryption software. The applied mathematics major focuses on the study and solution of problems that can be mathematically analyzed across industrial fields and research disciplines.
The applied mathematics major focuses on the study and solution of problems that can be mathematically analyzed. Industry, academia, and government all have a great need for individuals with this type of education. You will gain the knowledge and skills to collaborate on complex problems with scientists, engineers, computer specialists, or other analysts. Some application areas include applied statistics; biology; business; economics; chemistry; electrical, industrial, or mechanical engineering; operations research; and imaging science.
Graduates typically are employed in scientific, engineering, business, or government environments, applying their mathematics background to the analysis and solution of realworld problems.
Course of Study
You can choose courses from one more than twenty application areas that provide them with the knowledge and skills to collaborate on complex problems with scientists, engineers, computer specialists, or other analysts. Some of those areas include applied statistics; biology; business; economics; chemistry; electrical, industrial, or mechanical engineering; operations research; or imaging science.
Real World Experiences
You’ll collaborate with faculty researcher on a variety of projects in both applied and theoretical mathematics providing you with valuable exposure to realworld problems faced by America's top companies and research organization. As a result, RIT undergraduates in mathematics are highlysought as coop employees.
You’ll also have the opportunity to work with researchers in the School of Mathematical Sciences studying interesting problems in areas such as computational photonics, mathematical biology, microelectromechanical systems, and network analysis.
Nature of Work
Mathematicians use theory, computational techniques, algorithms, and the latest computer technology to solve economic, scientific, engineering, physics, and business problems. The work of mathematicians falls into two broad classes — theoretical (pure) mathematics and applied mathematics. These classes, however, often overlap. Applied mathematicians start with a practical problem, envision its separate elements, and then reduce the elements to mathematical variables. They often use computers to analyze relationships among the variables, and they solve complex problems by developing models with alternative solutions.
Training Qualifications
Industry, academia, and government all have a great need for individuals with this type of education. Typically, graduates are employed in scientific, engineering, business, or government environments, applying their mathematics background to the analysis and solution of realworld problems.
In the federal government, entrylevel job candidates usually must have a fouryear degree with a major in mathematics or a fouryear degree with the equivalent of a mathematics major. Outside the federal government, a graduatelevel education is usually a minimum requirement; many seek advanced degrees in mathematics or a related discipline. However, those with bachelor's degrees who meet state certification requirements may become primary or secondary school mathematics teachers.
The majority of those with a master's degree in mathematics who work in private industry do so not as mathematicians but in related fields. For jobs in applied mathematics, training in the field in which mathematics will be used is very important. Mathematics is used extensively in physics, actuarial science, statistics, engineering, and operations research. Computer science, business and industrial management, economics, finance, chemistry, geology, life sciences, and behavioral sciences are likewise dependent on applied mathematics. Mathematicians also should have substantial knowledge of computer programming, because most complex mathematical computation and much mathematical modeling are done on a computer.
Industries

Internet and Software 
Investment/Portfolio Management 
Insurance 
Government (Local, State, Federal) 
Defense 
Scientific and Technical Consulting 
Biotech and Life Sciences 
Telecommunications
Typical Job Titles
Engineer  Economist 
Analyst (e.g. Operations Research)  Physicist 
Cryptanalyst (codes)  Actuary 
Teacher  Market Researcher 
Financial Advisor 
Latest News

April 1, 2019
Top academic achievers honored as RIT Outstanding Undergraduate Scholars
More than 100 RIT students were honored Thursday as Outstanding Undergraduate Scholars. The students were also able to invite the high school or community college teacher that made the most impact on their education.

April 12, 2018
Playful teaching style earns assistant professor two awards
Nathaniel Barlow is the winner of RIT’s Richard and Virginia Eisenhart Provost’s Award for Excellence in Teaching and the Innovative Teaching with Technology Award. 
November 16, 2016
Researchers fix Landsat 8 imagery, measurements
Software developed by Aaron Gerace and Matt Montanaro, senior scientists at RIT’s Chester F. Carlson Center for Imaging Science, improves the accuracy of NASA’s Landsat 8 Earthsensing satellite, which was giving inaccurate readings due to defective optics in the thermal infrared sensor.
Curriculum
Applied mathematics, BS degree, typical course sequence
Course  Sem. Cr. Hrs.  

First Year  
MATH181 
LAS Perspective 7A (mathematical): Projectbased Calculus I
This is the first in a twocourse sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.

4 
MATH182 
LAS Perspective 7B (mathematical): Projectbased Calculus II
This is the second in a twocourse sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers techniques of integration including integration by parts, partial fractions, improper integrals, applications of integration, representing functions by infinite series, convergence and divergence of series, parametric curves, and polar coordinates.

4 
MATH199 
Mathematics and Statistics Seminar
This course introduces the programs within the School of Mathematical Sciences, and provides an introduction to math and statistics software. The course provides practice in technical writing.

1 
CSCI101 
Principles of Computing
This course is designed to introduce students to the central ideas of computing. Students will engage in activities that show how computing changes the world and impacts daily lives. Students will develop stepbystep written solutions to basic problems and implement their solutions using a programming language. Assignments will be completed both individually and in small teams. Students will be required to demonstrate oral and written communication skills through such assignments as short papers, homeworks, group discussions and debates, and development of a term paper.

3 
CSCI141 
Computer Science I
This course serves as an introduction to computational thinking using a problemcentered approach. Specific topics covered include: expression of algorithms in pseudo code and a programming language; functional and imperative programming techniques; control structures; problem solving using recursion; basic searching and sorting; elementary data structures such as lists, trees, and graphs; and correctness, testing and debugging. Assignments (both in class and for homework) requiring a pseudo code solution and an implementation are an integral part of the course. An endofterm project is also required.

4 
ACSC010 
Year One
The Year One class serves as an interdisciplinary catalyst for firstyear students to access campus resources, services and opportunities that promote selfknowledge, personal success, leadership development, social responsibility and life academic skills awareness and application. Year One is also designed to challenge and encourage firstyear students to get to know one another, build relationships and help them become an integral part of the campus community.

0 
First Year LAS Elective

3  
First Year Writing (WI)

3  
LAS Perspective 1 (ethical)

3  
LAS Perspective 5‡ (natural science inquiry)

4  
Wellness Education*

0  
Second Year  
MATH200 
Discrete Mathematics with Introduction to Proofs
This course prepares students for professions that use mathematics in daily practice, and for mathematics courses beyond the introductory level where it is essential to communicate effectively in the language of mathematics. It covers various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and set theory, and then moving to applications in advanced mathematics.

3 
MATH221 
Multivariable and Vector Calculus
This course is principally a study of the calculus of functions of two or more variables, but also includes a study of vectors, vectorvalued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, Stokes' Theorem, Green's Theorem, the Divergence Theorem, and applications in physics. Credit cannot be granted for both this course and MATH219.

4 
MATH251 
Probability and Statistics I
This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to realworld problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.

3 
MATH252 
Probability and Statistics II
This course covers basic statistical concepts, sampling theory, hypothesis testing, confidence intervals, point estimation, and simple linear regression. The statistical software package MINITAB will be used for data analysis and statistical applications.

3 
MATH231 
Differential Equations
This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, method of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, and Laplace transforms.

3 
MATH241 
Linear Algebra
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.

3 
MATH399 
Mathematical Science Job Search Seminar
This course helps students prepare to search for coop or fulltime employment. Students will learn strategies for conducting a successful job search and transitioning into the work world. The course meets one hour each week for five weeks.

0 
LAS Perspective 2 (artistic)

3  
LAS Perspective 3 (global)

3  
LAS Perspective 4 (social)

3  
LAS Perspective 6‡ (scientific principles)

4  
Third Year  
MATH431 
Real Variables I
This course is an investigation and extension of the theoretical aspects of elementary calculus. Topics include mathematical induction, real numbers, sequences, functions, limits, and continuity. The workshop will focus on helping students develop skill in writing proofs.

3 
Program Electives

18  
LAS Immersion 1, 2

6  
Open Elective

3  
Fourth Year  
MATH421 
Mathematical Modeling (WI)
This course explores problem solving, formulation of the mathematical model from physical considerations, solution of the mathematical problem, testing the model and interpretation of results. Problems are selected from the physical sciences, engineering, and economics.

3 
MATH441 
Abstract Algebra
This course covers basic set theory, number theory, groups, subgroups, cyclic and permutation groups, Lagrange and Sylow theorems, quotient groups, and isomorphism theorems. Group Theory finds applications in other scientific disciplines like physics and chemistry.

3 
MATH411 
Numerical Analysis
This course covers numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and the solution of initial value problems.

3 
LAS Immersion 3

3  
LAS Electives

6  
Program Electives

6  
Open Electives

6  
Total Semester Credit Hours 
121

(WI) Refers to a writing intensive course within the major.
* Please see Wellness Education Requirement for more information. Students completing bachelor's degrees are required to complete two different Wellness courses.
‡ Students will satisfy this requirement by taking either a 3 or 4 credit hour lab science course. If a science course consists of separate lecture and laboratory sections, students must take both the lecture and lab portions to satisfy the requirement.
Accelerated dual degree option
Accelerated dual degree options are for undergraduate students with outstanding academic records. Upon acceptance, wellqualified undergraduate students can begin graduate study before completing their BS degree, shortening the time it takes to earn both degrees. Students should consult an academic adviser for more information.
Applied mathematics, BS degree/Applied and computational mathematics, MS degree, typical course sequence
Course  Sem. Cr. Hrs.  

First Year  
MATH181 
LAS Perspective 7A (mathematical): Projectbased Calculus I
This is the first in a twocourse sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.

4 
MATH182 
LAS Perspective 7B (mathematical): Projectbased Calculus II
This is the second in a twocourse sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers techniques of integration including integration by parts, partial fractions, improper integrals, applications of integration, representing functions by infinite series, convergence and divergence of series, parametric curves, and polar coordinates.

4 
MATH199 
Mathematics and Statistics Seminar
This course introduces the programs within the School of Mathematical Sciences, and provides an introduction to math and statistics software. The course provides practice in technical writing.

1 
CSCI101 
Principles of Computing
This course is designed to introduce students to the central ideas of computing. Students will engage in activities that show how computing changes the world and impacts daily lives. Students will develop stepbystep written solutions to basic problems and implement their solutions using a programming language. Assignments will be completed both individually and in small teams. Students will be required to demonstrate oral and written communication skills through such assignments as short papers, homeworks, group discussions and debates, and development of a term paper.

3 
CSCI141 
Computer Science I
This course serves as an introduction to computational thinking using a problemcentered approach. Specific topics covered include: expression of algorithms in pseudo code and a programming language; functional and imperative programming techniques; control structures; problem solving using recursion; basic searching and sorting; elementary data structures such as lists, trees, and graphs; and correctness, testing and debugging. Assignments (both in class and for homework) requiring a pseudo code solution and an implementation are an integral part of the course. An endofterm project is also required.

4 
ACSC010 
Year One
The Year One class serves as an interdisciplinary catalyst for firstyear students to access campus resources, services and opportunities that promote selfknowledge, personal success, leadership development, social responsibility and life academic skills awareness and application. Year One is also designed to challenge and encourage firstyear students to get to know one another, build relationships and help them become an integral part of the campus community.

0 
First Year LAS Elective

3  
First Year Writing

3  
LAS Perspective 1 (ethical)

3  
LAS Perspective 5‡ (natural science inquiry)

4  
Wellness Education*

0  
Second Year  
MATH200 
Discrete Mathematics with Introduction to Proofs
This course prepares students for professions that use mathematics in daily practice, and for mathematics courses beyond the introductory level where it is essential to communicate effectively in the language of mathematics. It covers various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and set theory, and then moving to applications in advanced mathematics.

3 
MATH221 
Multivariable and Vector Calculus
This course is principally a study of the calculus of functions of two or more variables, but also includes a study of vectors, vectorvalued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, Stokes' Theorem, Green's Theorem, the Divergence Theorem, and applications in physics. Credit cannot be granted for both this course and MATH219.

4 
MATH251 
Probability and Statistics I
This course introduces sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distributions of discrete and continuous random variables, joint distributions (discrete and continuous), the central limit theorem, descriptive statistics, interval estimation, and applications of probability and statistics to realworld problems. A statistical package such as Minitab or R is used for data analysis and statistical applications.

3 
MATH252 
Probability and Statistics II
This course covers basic statistical concepts, sampling theory, hypothesis testing, confidence intervals, point estimation, and simple linear regression. The statistical software package MINITAB will be used for data analysis and statistical applications.

3 
MATH231 
Differential Equations
This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, method of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, and Laplace transforms.

3 
MATH241 
Linear Algebra
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.

3 
MATH399 
Mathematical Science Job Search Seminar
This course helps students prepare to search for coop or fulltime employment. Students will learn strategies for conducting a successful job search and transitioning into the work world. The course meets one hour each week for five weeks.

0 
LAS Perspective 2 (artistic)

3  
LAS Perspective 3 (global)

3  
LAS Perspective 4 (natural science inquiry)

3  
LAS Perspective 6‡ (scientific principles)

4  
Third Year  
MATH431 
Real Variables I
This course is an investigation and extension of the theoretical aspects of elementary calculus. Topics include mathematical induction, real numbers, sequences, functions, limits, and continuity. The workshop will focus on helping students develop skill in writing proofs.

3 
Program Electives

18  
LAS Immersion 1, 2

6  
Open Elective

3  
LAS Elective

3  
Fourth Year  
MATH421 
Mathematical Modeling (WI)
This course explores problem solving, formulation of the mathematical model from physical considerations, solution of the mathematical problem, testing the model and interpretation of results. Problems are selected from the physical sciences, engineering, and economics.

3 
MATH441 
Abstract Algebra
This course covers basic set theory, number theory, groups, subgroups, cyclic and permutation groups, Lagrange and Sylow theorems, quotient groups, and isomorphism theorems. Group Theory finds applications in other scientific disciplines like physics and chemistry.

3 
MATH611 
Numerical Analysis

3 
MATH606 
Graduate Seminar I
The course prepares students to engage in activities necessary for independent mathematical research and introduces students to a broad range of active interdisciplinary programs related to applied mathematics.

1 
MATH607 
Graduate Seminar II
This course is a continuation of Graduate Seminar I. It prepares students to engage in activities necessary for independent mathematical research and introduces them to a broad range of active interdisciplinary programs related to applied mathematics.

1 
Math Graduate Core Electives

9  
LAS Immersion 3

3  
LAS Electives

6  
Open Elective

3  
Fifth Year  
MATH790 
Thesis
Masterslevel research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.

7 
Graduate Core Elective

3  
Graduate Concentration Courses

6  
Graduate Electives

9  
Total Semester Credit Hours 
151

Please see General Education Curriculum–Liberal Arts and Sciences (LAS) for more information.
(WI) Refers to a writing intensive course within the major.
* Please see Wellness Education Requirement for more information. Students completing bachelor's degrees are required to complete two different Wellness courses.
‡ Students will satisfy this requirement by taking either a 3 or 4 credit hour lab science course. If a science course consists of separate lecture and laboratory sections, students must take both the lecture and lab portions to satisfy the requirement.
Admission Requirements
Freshman Admission
For all bachelor’s degree programs, a strong performance in a college preparatory program is expected. Generally, this includes 4 years of English, 34 years of mathematics, 23 years of science, and 3 years of social studies and/or history.
Specific math and science requirements and other recommendations
 3 years of math required; precalculus recommended
Transfer Admission
Transfer course recommendations without associate degree
Courses in liberal arts, physics, math, and chemistry
Appropriate associate degree programs for transfer
AS degree in liberal arts with math/science option
Learn about admissions and financial aid