# Mathematics

Linyuan Lu, *Chair*

Mathematics is a dynamic and collaborative field. Studying mathematics prepares students for future graduate studies not only in math, but in a wide variety of analytical disciplines such as computer science, physics and engineering. It can also help to prepare students for professional studies in fields like medicine and law. Fundamentally, a background in mathematics benefits those pursuing careers where problem-solving, high-level analysis, critical thinking and persistence are useful. Mathematical training teaches students how to read and communicate complex ideas as well as computational skills. Our department offers a major and minor in mathematics, with areas of emphasis in actuarial, education, applied or general mathematics.

The degree program offers two tracks: a program leading to the degree of Bachelor of Science in mathematics and a special five-year program leading to a Bachelor of Science degree and a Master of Science degree in mathematics. Students benefit from relatively small classes, including many upper-level sections for both Honors and advanced students. In addition, the department serves many of the disciplines within the university through course offerings which provide basic mathematical skills. A mathematics minor or double major complements many primary areas of study, particularly the sciences.

## General Mathematics Courses

MATH 111 is a course in basic mathematics intended for students who plan to take MATH 122 or MATH 170 and who need more thorough development in algebraic methods.

MATH 111I is an intensive version of MATH 111. This course is intended for students who plan to take MATH 122 or MATH 170 and desire additional support—in the form of smaller classes and more contact hours—to develop the necessary algebraic skills.

MATH 112 is the basic trigonometry course for students who plan to take MATH 141 and have adequate preparation in algebra but need more thorough development in trigonometry. This course may not be used for mathematics credit in the College of Engineering and Computing.

MATH 115 is the basic precalculus course for students who plan to take MATH 141 and need more thorough development in algebra and trigonometry before entering MATH 141. This course may not be used for mathematics credit in the College of Engineering and Computing.

MATH 122 is intended for students in business, the social sciences, pharmacy, and other disciplines which require an introduction to computational mathematics and calculus and is open to all interested students who satisfy the general requirements listed below.

MATH 141, MATH 142, MATH 241 constitute the normal calculus sequence for students in the College of Arts and Sciences and the College of Engineering and Computing. These courses are open to all students who satisfy the general requirements listed below.

MATH 170 is a basic course in finite mathematics. It may be used to satisfy the University’s core requirements and is open to all interested students who satisfy the general requirements listed below.

## Freshman Placement in Mathematics

MATH 111: Qualification through placement.

MATH 111I: Qualification through placement.

MATH 112: Qualification through placement or credit for MATH 111, either by successful completion of the course with a grade of C or better, transfer credit from another university, or successful completion of the test in MATH 111, available from the testing service.

MATH 115: Qualification through placement.

MATH 122: Qualification through placement or credit for MATH 111, either by successful completion of the course with a grade of C or better, transfer credit from another university, or successful completion of the test in MATH 111, available from the testing service.

MATH 141: Qualification through placement or credit for MATH 112 or MATH 115, either by successful completion of the course with a grade of C or better, transfer credit from another university, or successful completion of the test in MATH 115, available from the testing service.

Students who do not qualify for MATH 141 under paragraph 1 are strongly encouraged to try to obtain credit for MATH 115 either by taking the course or the examination during the summer preceding their first fall semester.

MATH 170: Qualification through placement or credit for MATH 111 or MATH 115, either by successful completion of the course with a grade of C or better, transfer credit from another university, or successful completion of the test in MATH 111 or MATH 115 which is available from the testing service.

Incoming students who wish to obtain bypass credit for certain mathematics courses may do so as follows:

MATH 111: CLEP Subject Examination titled “College Algebra” available from the testing service.

MATH 112: CLEP Subject Examination titled “Trigonometry” available from the testing service.

MATH 115: CLEP Subject Examination titled “College Algebra-Trigonometry” available from the testing service.

MATH 141: CLEP Subject Examination titled “Calculus with Analytic Geometry” available from the testing service.

Advanced Placement Test in Mathematics: The Advanced Placement Mathematics tests may be used to gain credit and advanced placement in calculus. Information is available from the testing service.

## Courses

**MATH 111**

**- Basic College Mathematics**

**(3 Credits)**

**Prerequisites:**placement through Algebra version of the Mathematics Placement Test.

**MATH 111I**

**- Intensive Basic College Mathematics**

**(4 Credits)**

**Prerequisites:**placement through Algebra version of the Mathematics Placement Test.

**MATH 112**

**- Trigonometry**

**(2 Credits)**

**MATH 115**

**- Precalculus Mathematics**

**(4 Credits)**

**Prerequisites:**C or better in MATH 111or MATH 111I, or placement through Precalculus version of the Mathematics Placement Test.

**MATH 116**

**- Brief Precalculus Mathematics**

**(2 Credits)**

**MATH 122**

**- Calculus for Business Administration and Social Sciences**

**(3 Credits)**

**Carolina Core:**ARP

**MATH 141**

**- Calculus I**

**(4 Credits)**

**Carolina Core:**ARP

**MATH 142**

**- Calculus II**

**(4 Credits)**

**Prerequisites:**C or better in MATH 141.

**Carolina Core:**ARP

**MATH 151**

**- Calculus Workshop I**

**(1 Credit)**

**Corequisite:**MATH 141.

**MATH 152**

**- Calculus Workshop II**

**(1 Credit)**

**MATH 170**

**- Finite Mathematics**

**(3 Credits)**

**Carolina Core:**ARP

**MATH 172**

**- Mathematical Modeling for the Life Sciences**

**(3 Credits)**

**Carolina Core:**ARP

**MATH 174**

**- Discrete Mathematics for Computer Science**

**(3 Credits)**

**Carolina Core:**ARP

**MATH 198**

**- Introduction to Careers and Research in the Mathematical Sciences**

**(1 Credit)**

**Prerequisites:**C or better in MATH 141.

**Graduation with Leadership Distinction:**GLD: Research

**MATH 221**

**- Basic Concepts of Elementary Mathematics I**

**(3 Credits)**

**MATH 222**

**- Basic Concepts of Elementary Mathematics II**

**(3 Credits)**

**Prerequisites:**C or better in MATH 221.

**MATH 241**

**- Vector Calculus**

**(3 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 242**

**- Elementary Differential Equations**

**(3 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 300**

**- Transition to Advanced Mathematics**

**(3 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 344**

**- Applied Linear Algebra**

**(3 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 344L**

**- Applied Linear Algebra Lab**

**(1 Credit)**

**Prerequisite or Corequisite:**C or better or concurrent enrollment in MATH 344.

**MATH 374**

**- Discrete Structures**

**(3 Credits)**

**MATH 399**

**- Independent Study**

**(3-9 Credits)**

**Graduation with Leadership Distinction:**GLD: Research

**MATH 401**

**- Conceptual History of Mathematics**

**(3 Credits)**

**MATH 490**

**- Mathematics Internship**

**(1-3 Credits)**

**MATH 499**

**- Undergraduate Research**

**(1-3 Credits)**

**Graduation with Leadership Distinction:**GLD: Research

**MATH 511**

**- Probability**

**(3 Credits)**

**Prerequisite or Corequisite:**C or better in MATH 241.

**Cross-listed course:**STAT 511

**MATH 514**

**- Financial Mathematics I**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**Cross-listed course:**STAT 522

**MATH 515**

**- Financial Mathematics II**

**(3 Credits)**

**Cross-listed course:**STAT 523

**MATH 520**

**- Ordinary Differential Equations**

**(3 Credits)**

**MATH 521**

**- Boundary Value Problems and Partial Differential Equations**

**(3 Credits)**

**MATH 522**

**- Wavelets**

**(3 Credits)**

**MATH 523**

**- Mathematical Modeling of Population Biology**

**(3 Credits)**

**MATH 524**

**- Nonlinear Optimization**

**(3 Credits)**

**MATH 525**

**- Mathematical Game Theory**

**(3 Credits)**

**MATH 526**

**- Numerical Linear Algebra**

**(4 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 527**

**- Numerical Analysis**

**(3 Credits)**

**Cross-listed course:**CSCE 561

**MATH 528**

**- Mathematical Foundation of Data Science and Machine Learning**

**(3 Credits)**

**MATH 529**

**- Introduction to Deep Neural Networks**

**(3 Credits)**

**MATH 531**

**- Foundations of Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 532**

**- Modern Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 533**

**- Elementary Geometric Topology**

**(3 Credits)**

**MATH 534**

**- Elements of General Topology**

**(3 Credits)**

**MATH 540**

**- Modern Applied Algebra**

**(3 Credits)**

**Prerequisites:**MATH 300.

**MATH 541**

**- Algebraic Coding Theory**

**(3 Credits)**

**MATH 544**

**- Linear Algebra**

**(3 Credits)**

**MATH 544L**

**- Linear Algebra Lab**

**(1 Credit)**

**Prerequisite or Corequisite:**C or better or concurrent enrollment in MATH 544.

**MATH 546**

**- Algebraic Structures I**

**(3 Credits)**

**MATH 547**

**- Algebraic Structures II**

**(3 Credits)**

**Prerequisites:**C or better in MATH 546.

**MATH 548**

**- Geometry, Algebra, and Algorithms**

**(3 Credits)**

**MATH 550**

**- Vector Analysis**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**MATH 551**

**- Introduction to Differential Geometry**

**(3 Credits)**

**MATH 552**

**- Applied Complex Variables**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**MATH 554**

**- Analysis I**

**(3 Credits)**

**MATH 555**

**- Analysis II**

**(3 Credits)**

**Prerequisites:**C or better in MATH 554.

**MATH 561**

**- Introduction to Mathematical Logic**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 562**

**- Theory of Computation**

**(3 Credits)**

**MATH 570**

**- Discrete Optimization**

**(3 Credits)**

**MATH 572**

**- Mathematical Foundation of Network Science**

**(3 Credits)**

**MATH 574**

**- Discrete Mathematics I**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 575**

**- Discrete Mathematics II**

**(3 Credits)**

**MATH 576**

**- Combinatorial Game Theory**

**(3 Credits)**

**MATH 580**

**- Elementary Number Theory**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 587**

**- Introduction to Cryptography**

**(3 Credits)**

**Cross-listed course:**CSCE 557

**MATH 590**

**- Undergraduate Seminar**

**(1-3 Credits)**

**MATH 599**

**- Topics in Mathematics**

**(1-3 Credits)**

**MATH 602**

**- An Inductive Approach to Geometry**

**(3 Credits)**

**MATH 603**

**- Inquiry Approach to Algebra**

**(3 Credits)**

**MATH 650**

**- AP Calculus for Teachers**

**(3 Credits)**

**Prerequisites:**current secondary high school teacher certification in mathematics and a C or better in at least 6 hours of calculus.