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¸£Àû±ÆÕ¾ Catalog 2023-2024

Applied Mathematics (BS)

This is an archived copy of the 2023-2024 catalog. To access the most recent version of the catalog, please visit .

To see more about what you will learn in this program, visit the !

The B.S. program in Applied Mathematics shares many basic features with the B.S. program in Mathematics. The primary difference is that this program includes a strong interdisciplinary concentration in a related field. The applied concentration, which must be approved by a student’s adviser, should be structured to promote specific career or educational objectives.

Undergraduate research opportunities include:

  • ÌýSociety for Industrial and Applied MathematicsÌý
  • NC State Research Experiences for Undergraduates in MathematicsÌý
  • The Mathematical Biology Research Training GroupÌý
  • Industrial Mathematical & Statistical Modeling (​IMSM​) Program by SAMSI
  • Study abroad opportunities in applied mathematicsÌý
  • SUM Club

For more information about this program visit our .

Department of Mathematics
North Carolina State ¸£Àû±ÆÕ¾
Campus Box 8205
Raleigh, NC 27695

Dr. Alina Duca
Teaching Professor and Director of Undergraduate Programs in Mathematics
SAS Hall 2108B
919.515.1875
anduca@ncsu.edu

Plan Requirements

Orientation
°ä°¿³§Ìý100Science of Change1
´Ç°ùÌý·¡Ìý115 Introduction to Computing Environments
Advanced Writing
Select one of the following:3
Communication for Engineering and Technology
Communication for Business and Management
Communication for Science and Research
·¡±·³ÒÌý101Academic Writing and Research 14
Basic Mathematics
²Ñ´¡Ìý141Calculus I 14
²Ñ´¡Ìý241Calculus II 14
²Ñ´¡Ìý242Calculus III 14
²Ñ´¡Ìý225Foundations of Advanced Mathematics 13
²Ñ´¡Ìý341Applied Differential Equations I 13
Basic Science 4
°ä±áÌý101
&²¹³¾±è;Ìý°ä±áÌý102
Chemistry - A Molecular Science
and General Chemistry Laboratory 1
4
or
General Chemistry I for Students in Chemical Sciences
and General Chemistry Laboratory I for Students in Chemical Sciences 1
±Ê³ÛÌý205
&²¹³¾±è;Ìý±Ê³ÛÌý206
Physics for Engineers and Scientists I
and Physics for Engineers and Scientists I Laboratory 1
4
´Ç°ùÌý±Ê³ÛÌý201 ¸£Àû±ÆÕ¾ Physics I
Basic Science Elective 14
Statistics Electives 16
Select one of the following Introduction to Programming courses: 13
Introduction to Computing-FORTRAN
Introduction to Computing - MATLAB
Introduction to Computing - Java
Introduction to Scientific Programming (Math)
Introduction to Scientific Computing
Advanced Mathematics 4
²Ñ´¡Ìý402Mathematics of Scientific Computing 13
²Ñ´¡Ìý405Introduction to Linear Algebra 13
²Ñ´¡Ìý407Introduction to Modern Algebra for Mathematics Majors 13
²Ñ´¡Ìý425Mathematical Analysis I 13
Methods of Applied Math Elective 13
Math Electives 19
In-Dept Co-Requirement (verify requirement) 2
Major Electives
Applied Electives 215
Applied electives are courses at 200-level or above designed to allow students to concentrate in a specific area related to their academic goals (at least 9 hours are at the 300-level or above). Courses used to fulfill this requirement should use advanced mathematical tools and are selected by students after consultation and approval by their advisors or the Director of the Undergraduate Program.
GEP Courses
GEP Humanities6
GEP Social Sciences6
GEP Health and Exercise Studies2
GEP US Diversity, Equity, and Inclusion3
GEP Interdisciplinary Perspectives5
GEP Global Knowledge (verify requirement)
Foreign Language Proficiency (verify requirement)
Free Electives
Free Electives (12 Hr S/U Lmt) 2,312
Total Hours120
1

A grade of C- or higher is required.

2

Students should consult their academic advisors to determine which courses fill this requirement.

3

Free elective courses cannot be MA 100, MA 101, MA 103, MA 107, MA 108, MA 111, MA 121, MA 131, MA 231, PY 131, PY 211, PY 212, ENG 100, 100-level Foreign Language Course (FL*, LAT, GRK, PER).

4

At most one grade below a C- is permitted

Basic Science ElectivesÌý

µþ±õ°¿Ìý181Introductory Biology: Ecology, Evolution, and Biodiversity4
µþ±õ°¿Ìý183Introductory Biology: Cellular and Molecular Biology4
°ä±áÌý201
&²¹³¾±è;Ìý°ä±áÌý202
Chemistry - A Quantitative Science
and Quantitative Chemistry Laboratory
4
±Ê³ÛÌý202¸£Àû±ÆÕ¾ Physics II4
±Ê³ÛÌý208
&²¹³¾±è;Ìý±Ê³ÛÌý209
Physics for Engineers and Scientists II
and Physics for Engineers and Scientists II Laboratory
4

Statistics Electives

Statistics Sequence 1
³§°ÕÌý371
&²¹³¾±è;Ìý³§°ÕÌý372
Introduction to Probability and Distribution Theory
and Introduction to Statistical Inference and Regression
6
Statistics Sequence 2
³§°ÕÌý421
&²¹³¾±è;Ìý³§°ÕÌý422
Introduction to Mathematical Statistics I
and Introduction to Mathematical Statistics II
6
Statistics Sequence 3
²Ñ´¡Ìý421
&²¹³¾±è;ÌýSTÌý380
Introduction to Probability
and
6
Statistics Sequence 4
²Ñ´¡Ìý421
&²¹³¾±è;Ìý³§°ÕÌý370
Introduction to Probability
and Probability and Statistics for Engineers
6
Statistics Sequence 5
²Ñ´¡Ìý421
&²¹³¾±è;Ìý³§°ÕÌý422
Introduction to Probability
and Introduction to Mathematical Statistics II
6

Methods of Applied Math Electives

µþ²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
µþ²Ñ´¡Ìý574Mathematical Modeling of Physical and Biological Processes II3
·¡Ìý531Dynamic Systems and Multivariable Control I3
²Ñ´¡Ìý450Methods of Applied Mathematics I3
²Ñ´¡Ìý451Methods of Applied Mathematics II3
²Ñ´¡Ìý531Dynamic Systems and Multivariable Control I3
²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
²Ñ´¡Ìý574Mathematical Modeling of Physical and Biological Processes II3
°¿¸éÌý531Dynamic Systems and Multivariable Control I3

Math Electives

³¢°¿³ÒÌý335Symbolic Logic3
²Ñ´¡Ìý325Introduction to Applied Mathematics3
²Ñ´¡Ìý335Symbolic Logic3
²Ñ´¡Ìý351Introduction to Discrete Mathematical Models3
µþ²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
µþ²Ñ´¡Ìý574Mathematical Modeling of Physical and Biological Processes II3
°ä³§°äÌý416Introduction to Combinatorics3
°ä³§°äÌý427Introduction to Numerical Analysis I3
°ä³§°äÌý428Introduction to Numerical Analysis II3
°ä³§°äÌý565Graph Theory3
°ä³§°äÌý580Numerical Analysis I3
°ä³§°äÌý583Introduction to Parallel Computing3
·¡Ìý531Dynamic Systems and Multivariable Control I3
·¡°ä³ÒÌý528Options and Derivatives Pricing3
¹ó±õ²ÑÌý528Options and Derivatives Pricing3
¹ó±õ²ÑÌý548Monte Carlo Methods for Financial Math3
¹ó±õ²ÑÌý549Financial Risk Analysis3
±õ³§·¡Ìý505Linear Programming3
²Ñ´¡Ìý401Applied Differential Equations II3
²Ñ´¡Ìý408Foundations of Euclidean Geometry3
²Ñ´¡Ìý410Theory of Numbers3
²Ñ´¡Ìý412Long-Term Actuarial Models3
²Ñ´¡Ìý413Short-Term Actuarial Models3
²Ñ´¡Ìý416Introduction to Combinatorics3
²Ñ´¡Ìý421Introduction to Probability3
²Ñ´¡Ìý426Mathematical Analysis II3
²Ñ´¡Ìý427Introduction to Numerical Analysis I3
²Ñ´¡Ìý428Introduction to Numerical Analysis II3
²Ñ´¡Ìý430Mathematical Models in the Physical Sciences3
²Ñ´¡Ìý432Mathematical Models in Life Sciences3
²Ñ´¡Ìý437Applications of Algebra3
²Ñ´¡Ìý4403
²Ñ´¡Ìý444Problem Solving Strategies for Competitions1
²Ñ´¡Ìý450Methods of Applied Mathematics I3
²Ñ´¡Ìý451Methods of Applied Mathematics II3
²Ñ´¡Ìý491Reading in Honors Mathematics1-6
²Ñ´¡Ìý493Special Topics in Mathematics1-6
²Ñ´¡Ìý499Independent Research in Mathematics1-6
²Ñ´¡Ìý501Advanced Mathematics for Engineers and Scientists I3
²Ñ´¡Ìý502Advanced Mathematics for Engineers and Scientists II3
²Ñ´¡Ìý504Introduction to Mathematical Programming3
²Ñ´¡Ìý505Linear Programming3
²Ñ´¡Ìý5123
²Ñ´¡Ìý513Introduction To Complex Variables3
²Ñ´¡Ìý515Analysis I3
²Ñ´¡Ìý518Geometry of Curves and Surfaces3
²Ñ´¡Ìý520Linear Algebra3
²Ñ´¡Ìý521Abstract Algebra I3
²Ñ´¡Ìý522Computer Algebra3
²Ñ´¡Ìý523Linear Transformations and Matrix Theory3
²Ñ´¡Ìý524Combinatorics I3
²Ñ´¡Ìý526Mathematical Analysis II3
²Ñ´¡Ìý528Options and Derivatives Pricing3
²Ñ´¡Ìý531Dynamic Systems and Multivariable Control I3
²Ñ´¡Ìý532Ordinary Differential Equations I3
²Ñ´¡Ìý534Introduction To Partial Differential Equations3
²Ñ´¡Ìý537Nonlinear Dynamics and Chaos3
²Ñ´¡Ìý540Uncertainty Quantification for Physical and Biological Models3
²Ñ´¡Ìý544Computer Experiments In Mathematical Probability3
²Ñ´¡Ìý546Probability and Stochastic Processes I3
²Ñ´¡Ìý547Stochastic Calculus for Finance3
²Ñ´¡Ìý548Monte Carlo Methods for Financial Math3
²Ñ´¡Ìý549Financial Risk Analysis3
²Ñ´¡Ìý551Introduction to Topology3
²Ñ´¡Ìý555Introduction to Manifold Theory3
²Ñ´¡Ìý561Set Theory and Foundations Of Mathematics3
²Ñ´¡Ìý565Graph Theory3
²Ñ´¡Ìý573Mathematical Modeling of Physical and Biological Processes I3
²Ñ´¡Ìý574Mathematical Modeling of Physical and Biological Processes II3
²Ñ´¡Ìý580Numerical Analysis I3
²Ñ´¡Ìý583Introduction to Parallel Computing3
²Ñ´¡Ìý584Numerical Solution of Partial Differential Equations--Finite Difference Methods3
²Ñ´¡Ìý587Numerical Solution of Partial Differential Equations--Finite Element Method3
²Ñ´¡Ìý591Special Topics1-6
²Ñµþ´¡Ìý528Options and Derivatives Pricing3
°¿¸éÌý504Introduction to Mathematical Programming3
°¿¸éÌý505Linear Programming3
°¿¸éÌý531Dynamic Systems and Multivariable Control I3
°¿¸éÌý565Graph Theory3
³§°ÕÌý412Long-Term Actuarial Models3
³§°ÕÌý413Short-Term Actuarial Models3
³§°ÕÌý546Probability and Stochastic Processes I3

Semester Sequence

This is a sample.

Plan of Study Grid
First Year
Fall SemesterHours
²Ñ´¡Ìý141 Calculus I 1,2 4
°ä±áÌý101 Chemistry - A Molecular Science 2 3
°ä±áÌý102 General Chemistry Laboratory 2 1
·¡±·³ÒÌý101 Academic Writing and Research 4
°ä°¿³§Ìý100 Science of Change 2
GEP Requirement 3
ÌýHours17
Spring Semester
²Ñ´¡Ìý241 Calculus II 1,2 4
±Ê³ÛÌý205 Physics for Engineers and Scientists I 2 3
±Ê³ÛÌý206 Physics for Engineers and Scientists I Laboratory 2 1
Introduction to Programming Elective 2 3
GEP Health and Exercise Studies 1
GEP Requirement 3
ÌýHours15
Second Year
Fall Semester
²Ñ´¡Ìý242 Calculus III 1,2 4
²Ñ´¡Ìý225 Foundations of Advanced Mathematics 1,2 3
±Ê³ÛÌý208 Physics for Engineers and Scientists II 2 3
±Ê³ÛÌý209 Physics for Engineers and Scientists II Laboratory 2 1
GEP Health and Exercise Studies 1
³§°ÕÌý371 Introduction to Probability and Distribution Theory 2 3
ÌýHours15
Spring Semester
²Ñ´¡Ìý341 Applied Differential Equations I 1,2 3
²Ñ´¡Ìý405 Introduction to Linear Algebra 2 3
³§°ÕÌý372 Introduction to Statistical Inference and Regression 2 3
Free Elective 3
GEP Requirement 3
ÌýHours15
Third Year
Fall Semester
²Ñ´¡Ìý407 Introduction to Modern Algebra for Mathematics Majors 2 3
Methods of Applied Math Elective 2 3
Applied Elective 3
Advanced Writing/Speaking Elective 3
GEP Requirement 3
ÌýHours15
Spring Semester
²Ñ´¡Ìý425 Mathematical Analysis I 2 3
²Ñ´¡Ìý402 Mathematics of Scientific Computing 2 3
Applied Elective 3
Free Elective 3
GEP Requirement 3
ÌýHours15
Fourth Year
Fall Semester
Select one of the following: 2 3
Mathematical Analysis II
Advanced Mathematics Elective 2 3
Applied Electives 6
GEP Interdisciplinary Perspectives 3
ÌýHours15
Spring Semester
Advanced Mathematics Elective 2 3
Applied Elective 3
Free Electives (2 courses) 5
GEP Interdisciplinary Perspectives 2
ÌýHours13
ÌýTotal Hours120
1

A grade of C- or higher is required.

2

At most one grade below a C- is permitted in Advanced Mathematics courses and at most one grade below a C- is permitted in courses satisfying the Basic Science requirements. No grades below a C- are permitted in Basic Mathematics courses.