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# Mathematics

We are pleased you decided to visit us, and hope you might come in person sometime soon. Our department is friendly and attentive to students' needs, and it is easy to get acquainted with other students, staff, and faculty.

### College of Science Health and Engineering

### Mathematics

#### Overview

#### Degree & Program Options

##### Overview

##### BAE Mathematics/Elementary (K-8)

##### Middle Level Math Endorsement

##### BAE Mathematics/Secondary (5-12)

##### Secondary Mathematics Endorsement

##### MA in Teaching K-9 Mathematics (Not accepting students. On hold pending revision.)

##### BA Mathematics

##### BA Mathematics (Statistics)

##### BA Mathematics (Economics)

##### BA Mathematics (Computer Science)

##### Master of Science Programs in Mathematics (Not accepting students.)

##### Careers in Mathematics

#### Scholarship & Grant Opportunities

#### Scholarship Recipients

#### Math Resources for Students & Parents

#### Mathematics Tutoring Lab in Kingston Hall 337

#### Math Placement Assessment

#### Faculty Directory

##### Overview

##### Keith Adolphson

##### Ryan Allison

##### Barbara Alvin

##### Louis Blair

##### Daniel Canada

##### Carlos Castillo-Garsow

##### Jackie Coomes

##### Raymond Dempsey

##### Diane Dowd

##### Ryan Downie

##### Anthony Frenk

##### Dale Garraway

##### Ron Gentle

##### David Goering

##### Melissa Graham

##### Michael Graham

##### Christian Hansen

##### Hyung Sook Lee

##### Jim Leigh

##### Peter Lowe

##### Frank Lynch

##### Kelly Lynn

##### Gayle Millsaps

##### Christopher Mullins

##### Wade Neilson

##### Yves Nievergelt

##### Timmy Noon

##### Andrew Oster

##### Seshu Rao

##### Kyle Riggs

##### Olga Slyusareva

##### Diana Stuart

##### Hugh Sullivan

##### Elena Toneva

#### Staff Directory

#### Contact Us

**Mathematics Department**

216 Kingston Hall

Cheney, WA 99004

## Master of Science Programs in Mathematics (Not accepting students.)

The Masters of Science program in mathematics is designed to meet the needs of students seeking employment in business and industry, those seeking careers in education at the elementary, secondary and post-secondary level, as well as students preparing for doctoral study in mathematics. The programs are rigorous and prepare the student for an increasingly competitive workplace. Graduates of these programs are highly successful professionals, scientists and teachers; many have earned doctorates.

The Master of Science in Mathematics curriculum includes core courses in algebra, complex analysis, real analysis and topology, courses on advanced topics; a research-expository thesis is required for all programs with the exception of the teaching options, which require a research report. Overall, the program is designed to develop competence in the central areas of mathematics, algebra, analysis and geometry, to such a point that the student can begin to see the profound interconnections between them. The thesis demands an in-depth study of a subject at or near the forefront of mathematics. Theses have been written in theoretical computer science, theoretical physics, applied mathematics and statistics, as well as pure mathematics; research reports focus on specific aspects of teaching mathematics at the high school or community college level. Well prepared entering undergraduates at Eastern Washington University may opt to combine the master of science program with the Bachelor of Arts in Mathematics in the Five-Year Bachelor of Arts/Master of Science in Mathematics program. Please consult the information in the undergraduate programs for mathematics listed above for the complete description of this program.

The department offers three options with the MS in Mathematics program, as well as special interdisciplinary master of science programs. The Applied Mathematics option provides an opportunity to complete a year-long sequence of courses in an applied field and write a thesis on the use of mathematics in such a field. This applied option retains most of the theoretical courses from the Master of Science curriculum, which also form the foundations of applications, so that student retain the flexibility to pursue applied or teaching careers or further research in doctoral programs. To achieve such breadth and depth, however, this applied option may require up to one additional year to complete. The Community College Instruction option is specifically tailored for the needs of an individual seeking a profession in community college or junior college teaching. The Secondary School Instruction option is designed for high school teachers who wish to extend both their knowledge of mathematics and mathematics education. Both curricula include core graduate courses in mathematics and mathematics education, a research project and an internship. Interdisciplinary programs typically combine two fields (e.g., business and mathematics or computer science and mathematics); these programs are highly individualized and planned in conjunction with the two departments involved.

** Paid Graduate Assistantships and Graduate Instructorships**, with a partial tuition waiver, are available competitively to qualified applicants with a bachelor's degree in mathematics, mathematics education or equivalent.

**• Graduate Assistants**earn a salary of

**$8,163**per academic year and typically teach one course per quarter.

**• 1st year Graduate Instructors**earn a salary of

**$14,346**per academic year and teach two courses per quarter.

**• 2nd year Graduate Instructors**earn a salary of

**$15,282**per academic year and teach two courses per quarter.

All graduate instructors are required to take a year-long, 3-credit method course during their first year of Instructorship. To apply for a Graduate Instructorship position click on the following link to complete an application in duplicate please:

**Graduate Service Appointment Application**

**.**

**Admission Requirements/Preparation**

Entrance requirements: In addition to applying for admission to the program, prospective MS students will need to apply for admission to the graduate school according to procedures described elsewhere in this catalog. The GRE general test is required for all graduate programs in mathematics. Expected preparation for MS students is a year of modern algebra along with introductory level courses in advanced calculus and topology. To apply for the Graduate Program submit an application found on the following link: GRADUATE STUDIES

**Candidacy:**

Students who have been admitted and have begun their course of study should apply for admission to candidacy early in their program, using procedures described elsewhere in this catalog. Before candidacy can be approved, the student must remove all deficiencies regarding entrance requirements. Ordinarily, coursework taken to help meet the entrance requirements will not count toward fulfllment of the student's graduate program requirements. Upon admission to candidacy, the members of the student's graduate committee are selected.

## What will I study?

**Degree Requirements***Note: all mathematics graduate students who have been awarded a graduate service appointment with a teaching assignment must take MTED 521, 522 and 523.***Graduate Core (44 credits)**

MATH 531 Algebra I (4)

MATH 532 Algebra II (4)

MATH 533 Algebra III (4)

MATH 551 General Topology I (4)

*MATH 561 Real Analysis I (4)

*MATH 562 Real Analysis II (4)

MATH 573 Topics in Applied Mathematics (4)

*MATH 581 Complex Analysis I (4)

*MATH 582 Complex Analysis II (4)

MATH 600 Thesis (8)**Other Supporting Credits (For teaching assistants only) (0-3 credits)**

*MTED 521 Methods of Teaching Mathematics I (1)

*MTED 522 Methods of Teaching Mathematics II (1)

*MTED 523 Methods of Teaching Mathematics III (1)**Electives-Additional mathematics courses (1-6 credits)****Required graduate core credits 44 credits****Supporting credits 0-3 credits****Elective credits 1-6 credits****Minimum total credits for above master's degree 48 credits****APPLIED MATHEMATICS OPTION (52 CREDITS) ****Required Courses (40 credits)**

MATH 531 Algebra I (4)

MATH 532 Algebra II (4)

MATH 533 Algebra III (4)

MATH 551 General Topology I (4)

*MATH 561 Real Analysis I (4)

*MATH 562 Real Analysis II (4)

*MATH 581 Complex Analysis I (4)

*MATH 582 Complex Analysis II (4)

MATH 600 Thesis (8)**Elective (12 credits)***Twelve credits of applied courses approved by the Department of Mathematics Curriculum Committee. A thesis and a final comprehensive examination.***Required option credits 40 credits****Elective credits 12 credits****Total credits for above master's degree 52 credits**

**Master's Thesis is required:**

*(Some options in the MS program in Mathematics require a research report instead of a thesis.)*

A master's thesis in mathematics should make an original and constructive contribution to its field, at least in exposition if not in new mathematics. To this end, a thesis should demonstrate:

*****a mastery of a substantial body of mathematics,

*****the ability to search the mathematics literature and

*****a talent for presenting mathematics clearly in correct English.

Ideally, a master's thesis may establish a new result, but new results are not required. Instead, a thesis may present mathematics from other research works, in an exposition accessible to mathematicians who do not specialize in the topic of the thesis. The final version of the thesis may follow either a local format or a format required for submission to a professional mathematics journal.

**MASTER OF SCIENCE/COMMUNITY COLLEGE INSTRUCTION OPTION (52 CREDITS)**

**Required Courses**

EDUC 520 Methods of Educational Research (4)

MTED 521 Methods of Teaching Mathematics I (1)

MTED 522 Methods of Teaching Mathematics II (1)

MTED 523 Methods of Teaching Mathematics III (1)

MATH 531 Algebra I (4)

MATH 532 Algebra II (4)

MATH 551 General Topology I (4)

MATH 561 Real Analysis I (4)

MATH 562 Real Analysis II (4)

MATH 581 Complex Analysis I (4)

MATH 582 Complex Analysis II (4)

MTED 592 Theory and Research in Mathematics Education (3)

MTED 695 Mathematics Education Internship (6)

MATH 601 Research Report (8)

**Total credits for above master's degree 52 credits**

**MASTER OF SCIENCE/SECONDARY SCHOOL INSTRUCTION OPTION (50-53 CREDITS)**

**Required Courses:**

MATH 470 Foundations of Geometry (4)

MATH 461 Advanced Calculus (4)

EDUC 520 Methods of Educational Research (4)

MTED 521 Methods of Teaching Mathematics I (1)

MTED 522 Methods of Teaching Mathematics II (1)

MTED 523 Methods of Teaching Mathematics III (1)

MATH 531 Algebra I (4)

MATH 551 General Topology I (4)

MATH 561 Real Analysis I (4) or MATH 581 Complex Analysis I (4)

MTED 592 Theory and Research in Mathematics Education (3)

MTED 695 Mathematics Education Internship (6)

MATH 601 Research Report (8)

**Math Electives (two of the following):**

MATH 430 Advanced Linear Algebra (4)

MATH 433 Introduction to Modern Algebra III (4)

MATH 485 Theoretical Probability and Mathematical Statistics (4)

MATH 486 Advanced Topics in Statistics (3)

or Approved upper division statistics course

MATH 492 Problem Solving Seminar (5)

MTED 493 Methods of Teaching Secondary Mathematics II (3)

MATH 532 Algebra II (4)

**Research Report is required:**

A Research Report in mathematics should make an original and constructive contribution to the field of mathematics teaching and learning, at least in exposition if not in new understanding. To this end, a research report should demonstrate:

• a mastery of a substantial body of mathematics content knowledge for teaching,

• the ability to research and synthesize the literature on mathematics teaching and learning,

• application of understanding in these areas by the design and conducting of an applied research project in mathematics teaching and learning, and

• the ability to present the research report clearly.

**Final Comprehensive Examination is** r**equired for all MS programs in mathematics***.*

A two-hour final examination conducted by the chair of the candidate's graduate committee is required. The candidate will present his or her thesis or research report for the frst hour. The remaining time is to be left for questions from the committee on the thesis as well as material selected from the candidate's coursework.**Note: certain mathematics courses will be offered every other year, alternating according to the schedule.*

Students need to take this into account when planning a program of study in the Mathematics Department.

## Emphases / Concentrations:

- Demonstrate the ability to solve challenging in-depth mathematical problems
- Demonstrate the ability to learn advanced mathematics independently
- Demonstrate the ability to work effectively as a member of independent self-directed teams
- Demonstrate adaptability and flexibility to different contexts and situations
- Demonstrate the ability to effectively communicate mathematics research and exposition orally and in writing