**Chair and Professor**: R. Garimella (PhD), 450-3147

**Professor**: D. Arrigo (PhD), A. Barlow (PhD), W. Liu (PhD), C. Pinchback (PhD)

**Associate Professor**: J. Beyerl (PhD), J. Fetterly (PhD), F. Hickling (PhD), L. Le (PhD), J. Martin (PhD)

**Assistant Professor**: T. Abel (PhD), Y. Dong (PhD), Y. Kwon (PhD), S. Mahmood (PhD), J. Nakarmi (PhD), N. Sahin (PhD), L. Skultety (PhD),W. Worley (PhD)

**Lecturer II**: L. Booher (MA)

**Lecturer I**: H. Hurley (MA), G. Johnson (EdD)

## [1] Purposes

Through programs in mathematics, applied mathematics, and mathematics education, the undergraduate mathematics curriculum furnishes the necessary background for specialization in technical fields, graduate study in mathematics, teaching mathematics at elementary, middle, and secondary levels, and work in business, industry, and government.

## [2] Advanced Placement

The Department of Mathematics awards advanced placement credit to students who score at a certain level on the College Board Advanced Placement Examination. Credit for Calculus I is awarded to any student who scores three or higher on the Calculus AB exam. Credit for Calculus I and Calculus II is awarded to any student who scores three or higher on the Calculus BC exam. Credit for Elementary Statistics (MATH 2311) is awarded to any student who scores three or higher on the AP Statistics exam.

## [3] Honors in Mathematics

[Jump to Recognition of Academic Achievement for general information about Honors in the Majors.]

Junior and senior students who have demonstrated superior achievement in all areas, particularly in their mathematics major, may be invited to participate in the Honors in Mathematics program. These students engage in investigations in special topics while enrolled in a special problems or research course. The successful completion of these research studies and the recommendation of the department committee (based on written and oral presentation of thesis) make a student eligible to graduate with Honors in Mathematics.

## [4] Baccalaureate Degree

UD = Upper Division

D = Diversity

I = Critical Inquiry

Z = Capstone Experience

### [4.1] Bachelor of Science

[Back to program-of-study links]

The Bachelor of Science degree with a major in mathematics requires successful completion of at least 120 hours including (1) the UCA Core: complete 38 hours to meet lower-division UCA Core requirements and complete upper-division UCA Core requirements using major, minor, or elective courses (see the UCA Core requirements); (2) major requirements listed below; and (3) a minor approved by the student’s minor advisor.

The BS Program in Mathematics at the University of Central Arkansas is designed to meet the needs of students who pursue careers in teaching, business, government, and advanced studies. Several tracks in Pure, Applied, STEM Teach Mathematics Education, STEM Teach Pure Math, and STEM Teach Applied Math offer students a variety of pathways to achieve their educational and career goals.

#### [4.1.1] BS Mathematics Core Requirements (21 hours)

All tracks of the BS in Mathematics require completion of a 21-hour core consisting of the following courses.

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics [See Note 1.]

MATH 2441 Mathematical Computation

MATH 2471 Calculus III

MATH 3320 Linear Algebra [UD UCA Core: I]

MATH 4371 Introduction to Probability Theory [UD UCA Core: R]

Note 1:

MATH 2335 is not required for students in the Data Science track.

#### [4.1.2] Pure Mathematics Track (43 hours)

[Back to program-of-study links]

This is a standard pure math track, offering excellent preparation that integrates critical thinking and problem solving and culminates in a mastery of mathematical skills needed to succeed in careers in business, government, industry, or advanced studies. This track requires a minor.

In addition to the mathematics core, this track needs the following:

Required Courses (12 hours)

MATH 3360 Introduction to Rings and Fields

MATH 3362 Introduction to Group Theory

MATH 4362 Advanced Calculus I [UD UCA Core: Z]

Choose Two Electives (6 hours)

MATH 3392 Multivariate Analysis

MATH 4305 Ordinary Differential Equations II

MATH 4306 Modeling and Simulation [UD UCA Core: Z]

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Mathematics for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4363 Advanced Calculus II

MATH 4372 Introduction to Statistics Inference

MATH 4373 Regression Analysis

MATH 4374 Introductions to Stochastic Processes

MATH 4375 Introduction Topology I

MATH 4385 Complex Analysis

MATH 4391 Machine Learning

#### [4.1.3] Applied Mathematics Track (49-51 hours)

[Back to program-of-study links]

This is a standard applied math track, offering excellent preparation that integrates technology, critical thinking, and problem solving and culminates in a mastery of mathematical skills needed to succeed in careers in business, government, industry, or advanced studies. Students pursuing this track should choose PHYS 1440, PHYS 1441, or CHEM 1450 to satisfy the UCA Core physical science requirement. This could help reduce the ancillary requirements, given below, by four credit hours. A student in this track who chooses the economics minor will automatically satisfy the ancillary requirements by taking ECON 2320 and ECON 2321.

This track requires a minor.

In addition to the mathematics core, this track needs the following:

Required Courses (12 hours)

MATH 3331 Ordinary Differential Equations I [UD UCA Core: C]

MATH 4306 Modeling and Simulation [UD UCA Core: Z]

MATH 4315 Partial Differential Equations OR MATH 4340 Numerical Methods OR MATH 4373 Regression Analysis

Choose Two Electives (6 hours)

MATH 3362 Introduction to Group Theory

MATH 3391 Non-Parametric Statistics

MATH 3392 Multivariate Analysis

MATH 4305 Ordinary Differential Equations II

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Mathematics for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4362 Advanced Calculus I [UD UCA Core: Z]

MATH 4363 Advanced Calculus II

MATH 4373 Regression Analysis

MATH 4374 Introduction to Stochastic Processing

MATH 4385 Complex Analysis

MATH 4391 Machine Learning

Ancillary Requirements (6–8 hours)

PHYS 1441 and 1442 OR

CHEM 1450 and 1451 OR

ECON 2320 and 2321 OR

CSCI 1470 and 1480

#### [4.1.4] STEMteach Mathematics Education Track (49 hours)

[Back to program-of-study links]

This is a standard mathematics education track, offering excellent preparation for middle or high school teacher licensure in mathematics. This track requires the 26-hour STEMteach minor. This program integrates technology, critical thinking and problem solving, and internship experiences and culminates in a mastery of mathematical skills needed to succeed as a middle or secondary school teacher.

In addition to the mathematics core, this track requires the following:

Required Courses (24 hours)

MATH 3354 Concepts of Discrete Mathematics OR MATH 2330 Discrete Structures I

MATH 3370 Mathematics in Secondary Schools

MATH 4301 Secondary Mathematics Methods [UD UCA Core: C]

MATH 4313 Functions and Modeling

MATH 4345 College Geometry

MATH 4372 Introduction to Statistical Inference OR MATH 3311 Statistical Methods

MATH 4350 Introduction to the History of Mathematics [UD UCA Core: D]

#### [4.1.5] STEMteach Pure Mathematics Track (46 hours)

[Back to program-of-study links]

The degree plans for candidates in this track offer the same rigorous preparation for graduate or professional schools and will not take any longer to complete than the regular pure mathematics track and will provide mathematics majors an extra career opportunity in teaching. Two electives needed in the regular pure mathematics track will be replaced by MATH 4345 and MATH 4372. A 3-credit hour course, MATH 4313 Functions and Modeling, has been added to the track. However, the number of hours required to complete this new track will be within the 120 hours as mandated by Arkansas Act 747. The track requires the STEMteach minor.

In addition to the mathematics core, this track requires the following:

Required Courses (21 hours)

MATH 3360 Introduction to Rings and Fields

MATH 4313 Functions and Modeling

MATH 4345 College Geometry

MATH 4350 Introduction to the History of Mathematics [UD UCA Core: D]

MATH 4362 Advanced Calculus I [UD UCA Core: Z]

MATH 4372 Introduction to Statistical Inference

**OR**MATH 3311 Statistical Methods

#### [4.1.6] STEMteach Applied Mathematics Track (49–51 hours)

[Back to program-of-study links]

The degree plans for candidates in this track offer the same rigorous preparation for graduate or professional schools and will not take any longer to complete than the regular applied mathematics track and will provide mathematics majors an extra career opportunity in teaching. It will replace one of the two electives needed in the Applied Mathematics track with MATH 4345 and restricts the other elective to one of three courses – MATH 4315 or MATH 4340 or MATH 4373. A 3-credit hour course, MATH 4313 Functions and Modeling, has been added to the track. However, the number of hour required to complete this new track will be within the 120 hours as mandated by the Arkansas Act 747. The track requires the STEMteach minor.

In addition to the mathematics core, this track needs the following:

Required Courses (18 hours)

MATH 3331 Ordinary Differential Equations I [UD UCA Core: C]

MATH 4306 Modeling and Simulation [UD UCA Core: Z]

MATH 4313 Functions and Modeling

MATH 4345 College Geometry

MATH 4350 Introduction to the History of Mathematics [UD UCA Core: D]

Ancillary Requirements (6–8 hours)

PHYS 1441 and 1442 OR

CHEM 1450 and 1451 OR

ECON 2320 and 2321 OR

CSCI 1470 and 1480

Note: Students who prefer to take either physics or chemistry courses listed above to fulfill their ancillary requirements will need to enroll in either PHYS 1410, PHYS 1441, or CHEM 1450 to satisfy one of their Natural Sciences requirement in the UCA Core to be within the 120 hours to graduate as mandated by Arkansas Act 747.

#### [4.1.7] Data Science Track (52-54 hours)

[Back to program-of-study links]

Over the last two decades, computing speed, memory, and storage has risen dramatically. Even small businesses have started collecting and analyzing metrics to streamline their processes, identify emerging markets, and make financial forecasts. As a result, there is a huge demand for data analysts both in private and public sectors.

The Data Science track prepares students to meet this demand by equipping them with the computing, statistical, analytical, and business skills needed in the field of data science. This mixed toolset enables students to analyze a wide variety of data sets using appropriate statistical methods, and to convey their findings in plain English so that the business analysts can make well-informed decisions. This track requires a minor (a minor in computer science is recommended).

In addition to 18 hours of mathematics core courses, this track requires the following:

Required Data Science Track Courses (19 hours)

MATH 3311 Statistical Methods

MATH 4373 Regression Analysis

MATH 3392 Multivariate Analysis

MATH 4391 Machine Learning

MATH 4395 Practicum in Data Science [UD UCA Core: Z]

Electives (9 hours required, chosen from this list)

**At least two elective courses must be selected from this list:**

MATH 3381 / MATH 3391 / MATH 4372 / MATH 4374 / MATH 4392

OR

MATH 4381 when the topic is statistics.

MATH 3360 Introduction to Rings and Fields

MATH 3362 Introduction to Group Theory

MATH 3381 Data Cleaning & Visualization

MATH 3391 Non-Parametric Statistics

MATH 4306 Modeling and Simulation

MATH 4315 Introduction to Partial Differential Equations

MATH 4316 Fundamentals of Applied Mathematics for Fluid Mechanics and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4362 Advanced Calculus I

MATH 4363 Advanced Calculus II

MATH 4372 Introduction to Statistical Inference

MATH 4374 Introduction to Stochastic Processes

MATH 4375 Introduction to Topology I

MATH 4381 Special Topics (may be taken more than once if topics differ)

MATH 4385 Complex Analysis

MATH 4392 Time Series and Forecasting

Electives for Ancillary Requirement (6-8 hours)

Students are required to select one of the following pairs of courses:

CSCI 1470 & CSCI 1480 OR

ECON 2320 & ECON 2321 OR

ECON 3301 & ECON 3302 OR

BIOL 1440 & BIOL 1441 OR

INSU 3324 & ECON 2320 (or ECON 2321)

Minor: Computer Science is strongly encouraged.

### [4.2] Minors

#### [4.2.1] Minor in Mathematics (17 hours)

[Back to program-of-study links]

EITHER

Required courses (14 hours)

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 3360 Introduction to Rings and Fields

Choose one Elective (3 hours)

MATH 3320 Linear Algebra [UD UCA Core: I]

MATH 3331 Ordinary Differential Equations I [UD UCA Core: C]

MATH 3362 Introduction to Group Theory

MATH 4340 Numerical Methods

MATH 4371 Introduction to Probability Theory [UD UCA Core: R]

MATH 4375 Introduction Topology I

MATH 4385 Complex Analysis

OR

Required Courses (11 hours)

MATH 1497 Calculus II

MATH 3320 Linear Algebra [UD UCA Core: I]

Choose two Electives (6 hours)

MATH 3331 Ordinary Differential Equations I [UD UCA Core: C]

MATH 3360 Introduction to Rings and Fields (Prerequisite: MATH 2335)

MATH 3362 Introduction to Group Theory

MATH 4305 Ordinary Differential Equations II

MATH 4340 Numerical Methods

MATH 4371 Introduction to Probability Theory [UD UCA Core: R]

MATH 4375 Introduction Topology I

MATH 4385 Complex Analysis

#### [4.2.2] Minor in Statistics (18 hours)

[Back to program-of-study links]

Required Courses (18 hours)

MATH 3311 Statistical Methods

MATH 3320 Linear Algebra (Prerequisite: MATH 1497) [UD UCA Core: I]

MATH 4371 Introduction to Probability Theory (Prerequisite: MATH 1497) [UD UCA Core: R]

MATH 4372 Introduction to Statistical Inference

MATH 4373 Regression Analysis

## [5] Graduate Degrees in Mathematics

See *Graduate Bulletin*.

## [6] Course Links

### [6.1] Courses in Mathematics (MATH)

Follow this link for MATH course descriptions: course link.

### [6.2] Transitional Courses in Mathematics (UNIV)

See Transitional Courses (UNIV) for transitional courses in mathematics.