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Bachelor of Science in Liberal Arts and Sciences,
Mathematics + Application Area Option in the Mathematics Major
For Students Graduating Under the 201718 Catalog
This option is designed for students who want to major in mathematics with a clear specialization in some area of application. Certain courses in the area of application are counted towards the mathematics major. This also facilitates double majors or major/minor combinations.
The mathematics + application option is not recommended for students who plan to continue with graduate school in mathematics. It can be very appropriate for students who plan to pursue a graduate degree in the application area.
In consultation with a mathematics faculty advisor, the student prepares a program of study tailormade to his/her future plans or career needs. A number of programs have already been designed and approved (see below). Deviations from the approved programs may be proposed, and must be approved by the Mathematics Undergraduate Committee.
Approved Programs of Study
Math Plus programs of study have been approved in the following areas:
General Outline for Math + Application Area
Mathematics Core Courses (8 courses)
 MATH 101 – Orientation in Mathematics
 MATH 165, 166, 265 – Calculus I, II, III
 MATH 266 or 267 – Elementary Differential Equations
 MATH 201 – Intro to Proofs
 MATH 317 or Math 407 – Theory of Linear Algebra
 MATH 492 – Undergraduate Seminar
Mathematics and Application Electives (8 courses)
Appropriate upper level courses in mathematics and the application area, including MATH 301 or 414 – Abstract Algebra I or Analysis I, and including at least three courses from MATH and at least three courses from the application area. For the application areas with programs already approved, the courses are listed below.
Advanced Communication Proficiency Requirement
ENGL 302, ENGL 303, ENGL 305, ENGL 314, or MATH 491 (Undergraduate Thesis, with departmental approval). A grade of C or better is required.
Mathematics Grade Requirements
 At least 2.0 GPA in the ISU MATH courses applied to the major
 At least 8 credits of MATH courses taken at ISU at level 300+ with grade of C or better.
Further College and University Requirements
LAS students, see College of Liberal Arts and Sciences. Students earning degrees from other colleges with second majors in mathematics will meet the requirements of their own colleges.
Mathematics + Actuarial Science
Study of mathematics provides the strongest foundation for a student who wishes to enter and continue to progress in an actuarial career. A student should take one or two exams administered by the actuarial societies before graduation, and expect to continue specialized training after being hired. See http://www.beanactuary.org/ for extensive discussion of career opportunities and expectations. Note that, of the introductory statistics courses, STAT 201 provides the best preparation for more advanced statistics courses.
Mathematics and Application Electives (8 courses)
 MATH/STAT 341, 342
– Introduction to Theory of Probability and Statistics I, II
 MATH 414 – Analysis I
 Five of the following six courses
 MATH 240X – Mathematics of Investment and Credit
 MATH 373 – Introduction to Scientific Computation
 MATH 415 – Analysis II
 FIN 301 – Principles of Finance
 STAT 301 – Intermediate Statistical Concepts and Methods
 STAT 451 – Applied Time Series
Other Requirements
See General Outline for Mathematics + Application Area.
Other Recommended Courses
 COM S 207, 208 – Programming I, II
 ECON 301, 302 – Intermediate Micro/Macroeconomics
 ECON 353 – Money, Banking, and Financial Institutions
 ECON 431 – Managerial Economics
 FIN 310 – Corporate Finance
 FIN 320 – Investments
 FIN 361 or 462 – Personal (or Corporate) Risk Management and Insurance
 FIN 424 – Financial Features and Options
 FIN 462 – Corporate Risk Management and Insurance
 MKT 340 – Principles of Marketing
 STAT 480 – Statistical Computing Applications
Mathematics + Aerospace Engineering
Mathematics and Application Electives (8 courses)
 MATH 414 – Analysis I
 Two of the followiing courses:
 MATH 373 – Intro to Scientific Computation
 MATH 385 – Intro to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 415 – Analysis II
 MATH 481 – Numerical Methods for Differential Equations
 MATH 373 – Intro to Scientific Computation
 AER E 310 – Aerodynamics I: Incompressible Flow
 AER E 311 – Aerodynamics II: Compressible Flow
 AER E 331 – Flight Control Systems I
 AER E 344 – Aerodynamics and Propulsion Laboratory
 AER E 355 – Aircraft Flight Dynamics and Control
Other Requirements
See General Outline for Mathematics + Application Area.
Notes
For engineering majors, a second major must include 15 credit hours not used for the major in engineering.
Mathematics + Chemical Engineering
Mathematics and Application Electives (8 courses)
 MATH 301 or 414 – Abstract Algebra I or Analysis I
 Two of the following courses:
 MATH 302 – Abstract Algebra II
 MATH 373 – Intro to Scientific Computation
 MATH 407 – Applied Linear Algebra
 MATH 385 – Intro to Partial Differential Equations
 MATH 481 – Numerical Methods for Differential Equations
 MATH 302 – Abstract Algebra II
 Five of the following courses:
Other Requirements
See General Outline for Mathematics + Application Area.
Notes
For engineering majors, a second major must include 15 credit hours not used for the major in engineering.
Mathematics and Application Electives (8 courses)
 MATH 301 or 414 – Abstract Algebra I or Analysis I
 Three of the following courses:
 MATH 302 – Abstract Algebra II
 MATH 304 – Combinatorics
 MATH 314 – Graph Theory
 MATH/STAT 341 – Intro to Theory of Probability and Statistics I
 MATH 365 – Complex Variables with Applications
 MATH 385 – Intro to Partial Differential Equations
 MATH 415 – Analysis II
 MATH 302 – Abstract Algebra II
 Four of the following courses. The two courses marked with a * are especially recommended:
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics + Computational Science and Engineering
Mathematics and Application Electives (8 courses)
 MATH 373 – Intro to Scientific Computation
 MATH 414 – Analysis I
 MATH 424 – Intro to HighPerformance Computing
 MATH 481 – Numerical Methods for Differential Equations
 COM S 228 – Intro to Data Structures
 Three of the following courses:
 STAT 330 – Probability and Statistics for Computer Science
 STAT 430 – Empirical Methods for the Computational Sciences
 COM S 311 – Design and Analysis of Algorithms
 COM S 418 – Intro to Computational Geometry
 AER E 361 – Computational Techniques for Aerospace Design
 BCBIO 322 – Intro to Bioinformatics and Computational Biology
 STAT 330 – Probability and Statistics for Computer Science
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics + Computer Science
Mathematics and Application Electives (8 courses)
 MATH 301 or 414 – Abstract Algebra I or Analysis I
 Two of the following courses:
 MATH 304 – Combinatorics
 MATH 314 – Graph
Theory
 MATH 350 – Number Theory
 MATH 373 – Intro to Scientific Computation
 MATH 407 – Applied Linear Algebra
 MATH 421 – Logic for Mathematics and Computer Science
 MATH 424 – Introduction to HighPerformance Computing
 MATH 439 – (through Spring of 2018) Mathematics of Fractals and Chaos
 MATH 481 – Numerical Methods for Differential Equations
 MATH 304 – Combinatorics
 Five of the following courses:
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics and Application Electives (8 courses)
 MATH 414 – Analysis I
 Two of the following courses:
 MATH 304 – Combinatorics
 MATH/STAT 341 – Intro to Theory of Probability and Statistics I
 MATH/STAT 342 – Intro to Theory of Probability and Statistics II
 MATH 373 – Intro to Scientific Computation
 MATH 385 – Intro to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 415 – Analysis II
 MATH 481 – Numerical Methods for Differential Equations
 MATH 304 – Combinatorics
 Five of the following courses
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics + Electrical Engineering
Mathematics and Applications Electives (8 courses)
 MATH 301 or 414 – Abstract Algebra I or Analysis I
 Two of the following courses:
 MATH 302 – Abstract Algebra II
 MATH 304 – Combinatorics
 MATH 314 – Graph Theory
 MATH 350 – Number Theory
 MATH 365 – Complex Variables
 MATH 373 – Intro to Scientific Computation
 MATH 385 – Intro to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 415 – Analysis II
 MATH 481 – Numerical Methods for Differential Equations
 MATH 302 – Abstract Algebra II
 Five of the following courses:
 E E 224 – Signals and Systems I
 E E 311 – Electromagnetic Fields and Waves
 E E 321 – Communication Systems I
 E E/STAT 322 – Probabilistic Methods for Electrical Engineers
 E E 323 (through summer 2016) – Intro to Digital Signal Processing
 E E 324 – Signals and Systems II
 E E 422 – Communication Systems II
 E E 424 – Introduction to Digital Signal Processing
 E E 224 – Signals and Systems I
Other Requirements
See General Outline for Mathematics + Application Area.
Notes
For engineering majors, a second major must include 15 credit hours not used for the major in engineering.
Mathematics and Application Electives (8 courses)
 MATH 301 or 414 – Abstract Algebra I or Analysis I
 Two of the following courses:
 MATH/STAT 341 – Intro to Theory of Probability and Statistics I
 MATH/STAT 342 – Intro to Theory of Probability and Statistics II
 MATH 373 – Intro to Scientific Computation
 MATH 385 – Intro to Partial Differential Equations
 MATH 415 – Analysis II
 MATH/STAT 341 – Intro to Theory of Probability and Statistics I
 ACCT 285 – Managerial Accounting
 FIN 361 or 462 – Personal or Corporate Risk Management and Insurance
 FIN 424 – Financial Futures and Options
 MIS 301 – Management Information Systems
 SCM 460 – Decision Tools for Logistics and Operations Management
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics + Materials Engineering
Mathematics and Application Electives (8 courses)
 MATH 414 – Analysis I
 Two of the following:
 MATH 365 – Complex Variables
 MATH 373 – Introduction to Scientific Computing
 MATH 385 – Introduction to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 415 – Analysis II
 MATH 481 – Numerical Methods of Differential Equations
 MATH 365 – Complex Variables
 Five of the following:
 E M 324 – Mechanics of Materials
 MAT E 311 – Thermodynamics in Materials Engineering
 MAT E 314 – Kinetics and Phase Equilibria in Materials
 MAT E 316 – Computational Methods in Materials
 MAT E 321 – Introduciton to Ceramic Science
 MAT E 334 – Electronic and Magnetic Properties of Metallic Materials
 MAT E 351 – Introduction to Polymeric Materials
 E M 324 – Mechanics of Materials
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics + Mechanical Engineering
Mathematics and Application Electives (8 courses)
 MATH 414 – Analysis I
 Two of the following:
 MATH 365 – Complex Variables
 MATH 373 – Introduction to Scientific Computing
 MATH 385 – Introduction to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 415 – Analysis II
 MATH 481 – Numerical Methods of Differential Equations
 MATH 365 – Complex Variables
 Five of the following:
 E M 345 – Dynamics
 M E 335 – Fluid Flow
 M E 411 – Automatic Controls
 M E 421 – Systems Dynamics and Control
 M E 436 – Heat Transfer
 M E 425 – Optimization Methods for Complex Designs
 E M 425 – Introduction to the Finite Element Method
 E M / M E 451 – Engineering Acoustics
 M E 475 – Modeling Simulation
 E M 345 – Dynamics
Other Requirements
See General Outline for Mathematics + Application Area.
Mathematics and Application Electives (8 courses)
 MATH 414, 415 – Analysis I, II
 Two of the following courses:
 MATH 301 – Abstract Algebra I
 MATH 302 – Abstract Algebra II
 MATH 304 – Combinatorics
 MATH 350 – Number Theory
 MATH 365 – Complex Variables
 MATH 385 – Intro to Partial Differential Equations
 MATH 407 – Applied Linear Algebra
 MATH 301 – Abstract Algebra I
 Four of the following, at least three from Physics:
 MATH 373 – Introduction to Scientific Computing
 MATH 481 – Numerical Methods for Differential Equations
 PHYS 304 – Thermal Physics
 PHYS 306 – Physics of Wave Motion
 PHYS 321 – Intro to Modern Physics I
 PHYS 361 – Classical Mechanics
 PHYS 362 – Intermediate Mechanics
 PHYS 364 – Electricity and Magnetism I
 PHYS 365 – Electricity and Magnetism II
 PHYS 480– Quantum Mechanics I
 PHYS 481– Quantum Mechanics II
Other Requirements
See General Outline for Mathematics + Application Area.