# B.A./B.S. in Mathematics 2009

The information and requirements given here apply to the 2009–2010catalog. For other catalog years, please consult the archive.

Both the Bachelor of Arts (B.A.) and the Bachelor of Science (B.S.) in Mathematics require a core of basic courses followed by additional courses specific to one of seven possible options:

**Comprehensive Option:**This option prepares students for graduate study in mathematics, applied mathematics, or most other scientific fields.**Computer Science Option:**This option is for students interested in applications of computers to mathematical problems, including math majors who plan to attend graduate school in computer science.**Economics or Business Option:**This option is for students with a particular interest in business applications of mathematics, especially those preparing for graduate school in economics or finance.**General/Applied Mathematics Option:**This option is for students who intend to enter the job market upon graduation, but may also be appropriate for students who plan to go on to graduate school in a field of science or engineering.**Probability and Statistics Option:**This option is for students considering a career as an actuary or statistician, as well as for students wanting to attend graduate school in statistics.**Life Sciences Option:**This option is for students considering a career in medicine, as well as for students wanting to attend graduate school in the biological sciences.**Mathematics Education Option:**This option prepares students for teaching mathematics at the secondary school level. The option has two main components: a set of courses in mathematics, and a set of courses in teaching and learning mathematics in secondary schools.

Each option requires at least 15 units of 400-level mathematics courses, and each option, except Mathematics Education, requires the student to complete a minor. Courses in minors must be distinct from those in the major.

The complete official requirements for each option are given in the *University Catalog* in the form of an*Academic Advisement Report (ADVIP)*. Below we cover the portion of the requirements specific to the mathematics major, with links to the APRR for complete requirements. It is important for students to consult with their academic advisor about their choice and order of courses, as well as which optional courses would strengthen their degree program.

## Comparing the B.A. and the B.S.

As far as the mathematics coursework is concerned, the B.A. and B.S. are identical: they each require the core courses and one of the seven options. The two degrees differ only in the following ways:

- Second language requirement (details below).
- Science/application course requirements (details below).

## The B.A. in Mathematics

**Language Requirement:**Students must have*fourth semester proficiency*in a second language.- The degree is not science-intensive. Students need to complete only the two Tier One (NATS) and one Tier Two Natural Science courses, as specified in the University General Education requirements.

## The B.S. in Mathematics

**Language Requirement:**Students must have*second semester proficiency*in a second language.**Laboratory Science Courses Requirement:**The degree is science-intensive and requires one of the following sequences of laboratory science courses:**Application Courses Requirement:**(This requirement does not apply to the Mathematics Education Option.) Students must complete at least six units of non-math coursework with a prerequisite or corequisite of at least Calculus I (MATH 122B or higher). Choose from the following: ASTR 250; BIOC462A, 462B, 463A, 466; CHEM 105A, 105B, 480A, 480B, 481; CSC 345, 422, 433, 436, 437, 445, 453,460, 473; ECOL 302, 447, 496N; ECON 332, 361; GEN 448; GEOS 322, 356, 419, 432, 434A, 448; HWRS 431; PHYS 141, 142, 151, 152,161H, 162H, 204, 241, 242, 251; PTYS 407, 411, or courses approved by your academic advisor.

**Note:** B.S. students may satisfy both the Laboratory Science Courses Requirement and the Application Courses Requirement by completing one of the Physics sequences. The University's Tier Two General Education Requirement for Natural Science is satisfied for B.S. students by MATH 215, which is one of the Core Courses.

## Core Courses

The information and requirements given here apply to the 2009–2010catalog. For other catalog years, please consult the archive.

All seven options for the B.A./B.S. require the following core courses, which should be completed by the end of the sophomore year.

- C SC 127A— Introduction to Computer Science
- MATH 124or MATH 125— Calculus I
- MATH 129— Calculus II (*)
- MATH 215— Introduction to Linear Algebra
- MATH 223— Vector Calculus
- MATH 323— Formal Mathematical Reasoning and Writing (†)
- MATH 355— Analysis of Ordinary Differential Equations (*)

(*) The pair MATH 129 and MATH 355 may be replaced with MATH 250Aand MATH 250B(Calculus and Differential Equations I and II) for qualified incoming students. Please see the placement pages for registration requirements.

(†) MATH 323 is a writing-emphasis course that is the foundation for many of the advanced courses taken by math majors. It should be taken as soon as possible and before most of the 400-level courses in the major. Students who do not earn at least a C in MATH 323 should reconsider their choice of major.

## Comprehensive Option

The information and requirements given here apply to the 2009–2010catalog. For other catalog years, please consult the archive.

The Academic Program Requirements Report (APRR) gives complete requirements:

This option covers the minimum requirements for admission to most graduate programs in mathematics and applied mathematics. We have separate information on selecting the appropriate option and courses to prepare for various types of graduate programs.

Students selecting the comprehensive option should consult with a Mathematics Department faculty advisor in choosing additional course work to ensure that they are prepared for the graduate school of their choice. A minor in any subject is required with this option.

Major requirements:

- Core Courses
- MATH 413— Linear Algebra
- MATH 424— Theory of Complex Variables
- MATH 425A— Real Analysis of One Variable
- MATH 425B— Real Analysis of Several Variables
- One of the following two pairs:or

For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor.

## Computer Science Option

The Academic Program Requirements Report (APRR) gives complete requirements:

A minor in computer science is required with this option.

Major requirements:

- Core Courses
- One of the following three sequences:oror
- Two of the following six courses:
- A fifth 400-level course, chosen in consultation with your faculty advisor.

For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor.

## Economics or Business Option

The Academic Program Requirements Report (APRR) gives complete requirements:

This option requires either

- an Economics Minor, or
- a Business Administration Minor, or
- a Thematic Minor emphasizing courses from two or more disciplines/subject areas such as Economics, Business, and Finance.

The minor should be chosen in consultation with an advisor.

Major requirements:

- Core Courses
- MATH 425A— Real Analysis of One Variable
- MATH 464— Theory of Probability
- One of the following two courses:
- One of the following three courses:
- A fifth 400-level course, chosen in consultation with your faculty advisor.

For an example of how to order your coursework to heed prerequisites and meet all degree requirements, please consult the sample 4-year plans. You will develop an individualized plan in consultation with your faculty advisor.

## General/Applied Mathematics Option

The Academic Program Requirements Report (APRR) gives complete requirements:

A minor in any subject is required with this option.

Major requirements:

- Core Courses
- MATH 422— Advanced Applied Analysis
- MATH 485— Mathematical Modeling
- One of the following three sequences:oror
- A fifth 400-level course, chosen in consultation with your faculty advisor.

## Probability and Statistics Option

The Academic Program Requirements Report (APRR) gives complete requirements:

A minor in any subject is required with this option. By discussing with an advisor the choice of the minor, the student can greatly enhance his/her career opportunities. For additional information and suggestions, see the Probability and Statistics Webpage maintained by Professor Donald Myers.

Major requirements:

- Core Courses
- MATH 425A— Real Analysis of One Variable
- MATH 464— Theory of Probability
- MATH 466— Theory of Statistics
- One of the following two courses:
- A fifth 400-level course, chosen in consultation with your faculty advisor.

## Life Sciences Option

The Academic Program Requirements Report (APRR) gives complete requirements:

A minor in the biological sciences is required for this option. Possibilities include Biochemistry, General Biology, Ecology & Evolutionary Biology, Molecular & Cellular Biology, Microbiology, Plant Science, Physiology, Veterinary Science, and Pre-Health Professions, or a thematic minor with a life sciences emphasis. Courses which may be of interest for your minor include: ECOL 320, 340, 380, 416, 426, 453,496J; MCB 315, 410, 411, 422.

Major requirements:

- Core Courses
- MATH 422— Advanced Applied Analysis
- MATH 464— Theory of Probability
- One of the following three courses:
- One of the following two courses:
- One of the following two courses:
- One of the following two courses:

## Mathematics Education Option

The Academic Program Requirements Report (APRR) gives complete requirements:

This option is for students preparing to teach mathematics at the secondary school level. The Education Option has two main components, a set of courses in mathematics, and a set of courses in teaching and learning mathematics in secondary schools. This option does not require a minor. The Math Education Program website contains additional information about admission and requirements.

Major requirements:

- Core Courses
- Courses in Mathematics:
- Courses in Teaching and Learning Mathematics (Pedagogy):
- STCH 250— Teaching Mathematics
- STCH 310— Adolescent Learning in Science and Mathematics
- LRC 416— Intro to Structured English Immersion
- LRC 435— Content Area Literacy in a Multicultural School
- SERP 301B— Inclusive Education for Secondary Students With Diverse Abilities
- MATH 406A— Curriculum and Assessment in Secondary School Mathematics
- MATH 406B— Methods of Teaching Mathematics in Secondary Schools
- STCH 494C— Student Teaching

- Constitution Requirement for Arizona State certification.
- GPA requirements:
- GPA ? 2.5 in MATH 122A&B/125, 129, 215, 223
- Pedagogy GPA ? 2.5
- Major GPA ? 2.0
- Cumulative UA GPA ? 2.0