Option 2 packages: Difference between revisions
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The '''Option 2 math major''' requires six math courses and four courses in an area of application. These four courses are required to have a certain mathematical content. They should also form a coherent collection of courses that reflect a plan to study some discipline outside of mathematics that uses a fair amount of mathematics. The selection of the four courses, together with the six required math courses must be approved by the student's advisor. This page lists some sample packages in several popular areas. | The '''Option 2 math major''' requires six math courses and four courses in an area of application. These four courses are required to have a certain mathematical content. They should also form a coherent collection of courses that reflect a plan to study some discipline outside of mathematics that uses a fair amount of mathematics. The selection of the four courses, together with the six required math courses must be approved by the student's advisor. This page lists some sample packages in several popular areas. | ||
== Economics and Business == | |||
== Actuarial Mathematics == | === Actuarial Mathematics === | ||
Actuaries use techniques in mathematics and statistics to evaluate risk in a variety of areas including insurance, finance, healthcare, and even criminal justice. In recent history the field has been revolutionized by advances in the theory of probability and the ability to access, store, and process very large data sets. | Actuaries use techniques in mathematics and statistics to evaluate risk in a variety of areas including insurance, finance, healthcare, and even criminal justice. In recent history the field has been revolutionized by advances in the theory of probability and the ability to access, store, and process very large data sets. | ||
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* Consider combining the major with a [http://bus.wisc.edu/knowledge-expertise/academic-departments/actuarial-science-risk-management-insurance program] offered by the UW-Madison School of Business. | * Consider combining the major with a [http://bus.wisc.edu/knowledge-expertise/academic-departments/actuarial-science-risk-management-insurance program] offered by the UW-Madison School of Business. | ||
== Atmospheric & Oceanic Sciences == | === Operations Research === | ||
=== Economics === | |||
=== Finance === | |||
== Physical Sciences == | |||
=== Atmospheric & Oceanic Sciences === | |||
Weather and climate is determined by the interaction between two thin layers which cover the planet: The oceans and the atmosphere. Understanding how these two fluids act and interact allow humans to describe historical climate trends, forecast near future weather with incredible accuracy, and hopefully describe long term climate change which will affect the future of human society. | Weather and climate is determined by the interaction between two thin layers which cover the planet: The oceans and the atmosphere. Understanding how these two fluids act and interact allow humans to describe historical climate trends, forecast near future weather with incredible accuracy, and hopefully describe long term climate change which will affect the future of human society. | ||
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** 310 and 330 have Physics 208/248 as a prerequisite. | ** 310 and 330 have Physics 208/248 as a prerequisite. | ||
'''Core Math Courses''' | '''Core Math Courses''' | ||
* Linear Algebra: | * Linear Algebra: [http://www.math.wisc.edu/340-elementary-matrix-and-linear-algebra Math 340] or [http://www.math.wisc.edu/341-linear-algebra Math 341] or [http://www.math.wisc.edu/375-topics-multi-variable-calculus-and-linear-algebra Math 375] | ||
* Differential Equations: [http://www.math.wisc.edu/319-techniques-ordinary-differential-equations Math 319] | |||
* Applied Analysis: [https://www.math.wisc.edu/321-applied-mathematical-analysis Math 321] and [https://www.math.wisc.edu/322-applied-mathematical-analysis 322]. | |||
* Computational Mathematics: At least one of [http://www.math.wisc.edu/513-numerical-linear-algebra 513] or [http://www.math.wisc.edu/514-numerical-analysis 514] | |||
* Theory of Differential Equations: [http://www.math.wisc.edu/519-ordinary-differential-equations Math 519] | |||
'''Additional Courses to Consider''' | '''Additional Courses to Consider''' | ||
* Analysis: [http://www.math.wisc.edu/521-advanced-calculus Math 521] | |||
* Differential Geometry: [http://www.math.wisc.edu/561-differential-geometry Math 561] | |||
* Partial Differential Equations: [http://www.math.wisc.edu/619-analysis-of-partial-differential-equations Math 619] | |||
'''Also:''' Students who are interested in this area might consider | |||
* Combining the math major with the program offered by the [http://www.aos.wisc.edu/education/undergrad_program.htm Department of Atmospheric and Oceanic Sciences]. | |||
* The [http://www.math.wisc.edu/amep AMEP] program. | |||
=== Chemistry === | |||
=== Physics === | |||
== Biological Sciences == | |||
The | |||
=== Bio-Informatics === | |||
Bioinformatics is the application of computational methods to understand biological information. Of course the most interesting items of biological information is genetic and genomic information. Mathematicians have helped in the decoding of the human genome and now work in | |||
=== Bio-Statistics === | |||
=== Ecology === | |||
=== Forestry === | |||
=== Genetics === | |||
=== Structural Biology === | |||
=== Systems Biology === | |||
== Engineering == | |||
=== Astronautics === | |||
=== Chemical Engineering === | |||
=== Civil Engineering === | |||
=== Computer Engineering === | |||
=== Industrial Engineering === | |||
=== Material Science === | |||
=== Mechanical Engineering === | |||
=== Nuclear Engineering === | |||
== Computer Science == | |||
=== Cryptography === | |||
=== Theoretical Computer Science === | |||
== | == Education == | ||
== | == Statistics == | ||
Revision as of 19:23, 10 October 2014
The Option 2 math major requires six math courses and four courses in an area of application. These four courses are required to have a certain mathematical content. They should also form a coherent collection of courses that reflect a plan to study some discipline outside of mathematics that uses a fair amount of mathematics. The selection of the four courses, together with the six required math courses must be approved by the student's advisor. This page lists some sample packages in several popular areas.
Economics and Business
Actuarial Mathematics
Actuaries use techniques in mathematics and statistics to evaluate risk in a variety of areas including insurance, finance, healthcare, and even criminal justice. In recent history the field has been revolutionized by advances in the theory of probability and the ability to access, store, and process very large data sets.
Professional actuaries are currently in great demand, have lucrative pay, and is a growth field [1]. Similar to some other fields (law, accounting, etc.) there are professional organizations which administer a series of examinations [2]. Oftentimes students complete some of these examinations before graduating which allows them to move right into a career (Note: these exams are not required for graduation).
Students who are interested in actuarial mathematics should consider coursework in probability, statistics, analysis, as well as computational mathematics.
Application Courses
- Act. Sci 650 and 652
- Act. Sci. 651 or 653
Core Math Courses
- Linear Algebra: Math 320 or Math 340 or Math 341 or Math 375
- Students who use either Math 320 or Math 340 to fulfill their Linear Algebra requirement must take Math 421 before any mathematics course numbered above 500.
- Probability: Math 309 or Math 431 or 531
- Math 431 is preferred over 309.
- Math 531 is advanced probability and may be taken only after Math 421 or Math 521.
- Statistics: Math 310
- Has a prerequisite one of the probability courses mentioned above AND an elementary stats class (Stat 302 is recommended).
- Analysis: Math 521
- Stochastic Processes: Math 632
- Linear Programming: Math 525
Additional Courses to Consider
- Combinatorics: Math 475
Also: Students interested in the areas of mathematics with applications to actuarial science might consider the following as well:
- Advanced courses offered by the Department of Statistics or even a dual major.
- Consider combining the major with a program offered by the UW-Madison School of Business.
Operations Research
Economics
Finance
Physical Sciences
Atmospheric & Oceanic Sciences
Weather and climate is determined by the interaction between two thin layers which cover the planet: The oceans and the atmosphere. Understanding how these two fluids act and interact allow humans to describe historical climate trends, forecast near future weather with incredible accuracy, and hopefully describe long term climate change which will affect the future of human society.
A student interested in atmospheric and oceanic studies who has a strong mathematics background can find a career working in local, national, and international meteorological laboratories. These include private scientific consulting businesses as well as public enterprises. Students interested in graduate study could find their future studies supported by the National Science Foundation, the Department of Energy, NASA, or others.[3] There is a large amount of funding available in the area due to the relevance research findings have on energy and economic policy.
Mathematicians who work in Atmospheric and oceanic studies are drawn to the complexities of the problems and the variety of methods in both pure and applied mathematics which can be brought to bear on them. Students should take coursework in methods of applied mathematics, differential equations, computational mathematics, and differential geometry and topology.
Application Courses
- Physics 208 or Physics 248 [4].
- Both of these classes have prerequisites (207 and 247).
- ATM OCN 310, 311, and 330.[5]
- 310 and 330 have Physics 208/248 as a prerequisite.
Core Math Courses
- Linear Algebra: Math 340 or Math 341 or Math 375
- Differential Equations: Math 319
- Applied Analysis: Math 321 and 322.
- Computational Mathematics: At least one of 513 or 514
- Theory of Differential Equations: Math 519
Additional Courses to Consider
Also: Students who are interested in this area might consider
- Combining the math major with the program offered by the Department of Atmospheric and Oceanic Sciences.
- The AMEP program.
Chemistry
Physics
Biological Sciences
The
Bio-Informatics
Bioinformatics is the application of computational methods to understand biological information. Of course the most interesting items of biological information is genetic and genomic information. Mathematicians have helped in the decoding of the human genome and now work in