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

Professors: D. Arrigo (PhD), L. Griffith (PhD), C. Pinchback (PhD)

Associate Professors: G. Bratton (EdD), C. Burg (PhD), S. Butcher (PhD), P. Carmack (PhD), F. Hickling (PhD), L. Le (PhD), W. Liu (PhD), J. McGehee (PhD), C. Watson (EdD)

Assistant Professors: J. Beyerl (PhD), J. Lepak (PhD), J. Martin (PhD), B. Rathinasamy (PhD), M. Thomas (PhD)

Lecturer I: L. Booher (MA)

# [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 Statistical Methods I (MATH 2311) is awarded to any student who scores three or higher on the AP Statistics exam.

# [3] The Honors Program in Mathematics

Junior and senior students who have demonstrated superior achievement in all areas, particularly in their mathematics major, may be invited to participate in an advanced honors 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 as a departmental scholar.

# [4] Baccalaureate Degrees

## [4.1] Bachelor of Arts

The Bachelor of Arts 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) degree requirements; (3) major requirements listed below; and (4) a minor approved by the student's minor advisor.

UD = Upper Division

D = Diversity

I = Critical Inquiry

Z = Capstone Experience

#### [4.1.1] Major in Mathematics (39 hours)

##### Required Courses (33 hours)

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3331 Ordinary Differential Equations [ UCA Core: C ]

MATH 3360 Abstract Algebra I

MATH 3362 Abstract Algebra II

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

##### Choose Two (6 hours):

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4363 Advanced Calculus II

MATH 4372 Introduction to Statistical Inference

MATH 4373 Regression Analysis

MATH 4374 Introduction to Stochastic Processes

MATH 4375 Introduction to Topology

MATH 4385 Complex Analysis Applied Math I

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

##### Required Courses (14 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 3360 Abstract Algebra I

##### Choose One (3 hours):

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3331 Ordinary Differential Equations

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4375 Introduction to Topology

MATH 4385 Complex Analysis Applied Math I

**OR**

##### Required Courses (11 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 3320 Linear Algebra I [ UCA Core: I ]

##### Choose Two (6 hours):

MATH 2471 Calculus III

MATH 3331 Ordinary Differential Equations

MATH 3360 Abstract Algebra I

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4375 Introduction to Topology

MATH 4385 Complex Analysis Applied Math I

## [4.2] Bachelor of Science

The Bachelor of Science degree with a major in mathematics or applied 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.

A minor is not required for the Bachelor of Science in mathematics for students who are admitted to the UCA teacher education program and complete the requirements for teacher licensure in mathematics.

#### [4.2.1] Major in Mathematics (39 hours)

##### Required Courses (33 hours)

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3331 Ordinary Differential Equations [ UCA Core: C ]

MATH 3360 Abstract Algebra I

MATH 3362 Abstract Algebra II

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

##### Choose Two (6 hours):

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4363 Advanced Calculus II

MATH 4372 Introduction to Statistical Inference

MATH 4373 Regression Analysis

MATH 4374 Intro to Stochastic Processes

MATH 4375 Intro to Topology

MATH 4385 Complex Analysis Applied Math I

#### [4.2.2] Major in Applied Mathematics (43 hours)

##### Required Courses (37 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 2441 Mathematical Computation

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3331 Ordinary Differential Equations [ UCA Core: C ]

MATH 4305 Applied Mathematics I

MATH 4306 Applied Mathematics II [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH 4372 Introduction to Statistical Inference

##### Choose Two ( 6 hours):

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

METH 4363 Advanced Calculus II

MATH 4372 Introduction to Statistical Inference

MATH 4373 Regression Analysis

MATH 4374 Intro to Stochastic Processes

MATH 4375 Intro to Topology

MATH 4385 Complex Analysis Applied Math I

##### Ancillary Requirement - Choose one sequence (6 to 8 hours):

PHYS 1410 College Physics I **and** PHYS 1420 College Physics II

PHYS 1441 University Physics I **and** PHYS 1442 University Physics II

CHEM 1450 College Chemistry I **and** CHEM 1451 College Chemistry I

ECON 2320 Micro Economics **and** ECON 2321 Micro Economics

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

##### Required Courses (14 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 3360 Abstract Algebra I

##### Choose One (3 hours):

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3331 Ordinary Differential Equations [ UCA Core: C ]

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4375 Introduction to Topology

MATH 4385 Complex Analysis Applied Math I

**OR**

##### Required Courses (11 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 3320 Linear Algebra I [ UCA Core: I ]

##### Choose Two (6 hours):

MATH 2471 Calculus III

MATH 3331 Ordinary Differential Equations

MATH 3360 Abstract Algebra I

MATH 4362 Advanced Calculus I [ UCA Core: Z ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH 4305 Applied Math I

MATH 4315 Partial Differential Equations

MATH 4316 Fundamentals of Applied Math for Fluid and Granular Materials

MATH 4330 Mathematical Modeling in Biology

MATH 4340 Numerical Methods

MATH 4375 Introduction to Topology

MATH 4385 Complex Analysis Applied Math I

## [4.3] Bachelor of Science in Education

The Bachelor of Science in Education degree with a major in mathematics requires the successful completion of 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) secondary teacher education requirements; and (3) the major requirements listed below. This degree is designed for candidates seeking a recommendation for teacher licensure.

#### [4.3.1] Major in Mathematics Education

##### Required Courses (43 hours):

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 2441 Mathematical Computation

MATH 2471 Calculus III

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 3360 Abstract Algebra I

MATH 3370 Math in Secondary Schools

MATH 4301 Secondary Math Methods [ UCA Core: C ]

MATH 4345 College Geometry

MATH 4350 History of Mathematics [ UCA Core: D ]

MATH 4371 Intro to Probability Theory [ UCA Core: R ]

MATH X3XX Upper Division Math Elective

##### Choose One (3 hours):

MATH 3311 Statistical Methods

MATH 4372 Intro to Statistical Inference

##### Pre-Admission Teacher Education Courses (6-8 hours):

EDUC 1240 Basic Education Technology Skills ( only required if the Competency Exam is not passed)

EDUC 1300 Education as a Profession

MSIT 3310 Development and Learning

##### Teacher Education Courses (28 hours):

EDUC 3322 Diverse Learners in Inclusive Settings

EDUC 4210 Integration of Technology into Teaching and Learning

MSIT 4305 Classroom Management

MATH 4200 Intro to Educational Testing and Assessment in Mathematics

MSIT 4325 Literacy Development in Content Areas

MATH 4360 Teaching Internship I [ UCA Core: C ]

MATH 4680 Teaching Internship II [ UCA Core: Z ]

MATH 4681 Teaching Internship II [ UCA Core: Z ]

MATH 4372 Intro to Statistical Inference

#### [4.3.2] Minor in Mathematics Education (25 hours):

##### Required Courses:

MATH 1496 Calculus I

MATH 1497 Calculus II

MATH 2335 Transition to Advanced Mathematics

MATH 3360 Abstract Algebra I

MATH 3370 Math in Secondary Schools

MATH 4301 Secondary Math Methods [ UCA Core: C ]

MATH 4345 College Geometry

This minor does not lead to a recommendation for teacher licensure.

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

##### Required Courses:

MATH 2311 Statistical Methods I

MATH 3311 Statistical Methods II

MATH 3320 Linear Algebra [ UCA Core: I ]

MATH 4371 Intro to Probability Theory [ 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 University College Courses for transitional courses in mathematics.