# Courses

**MATH 51 – First-Year Seminar: 'Fish Gotta Swim, Birds Gotta Fly': The Mathematics and the Mechanics of Moving.
Credits: 3**

**Description:**This seminar allows students to have hands-on exposure to a class of physical and computer experiments designed to challenge intuition on how motion is achieved in nature. Honors version available

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 62 – First-Year Seminar: Combinatorics.
Credits: 3**

**Description:**Students will discuss combinatorics' deep roots in history, its connections with the theory of numbers, and its fundamental role for natural science, as well as various applications, including cryptography and the stock market. Honors version available

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 65 – First-Year Seminar: Colliding Balls and Springs: The Microstructure of How Materials Behave.
Credits: 3**

**Description:**Students will follow the intellectual journey of the atomic hypothesis from Leucippus and Democritus to the modern era, combining the history, the applications to science, and the mathematics developed to study particles and their interactions.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 68 – First-Year Seminar: The Mathematics of Voting.
Credits: 3**

**Description:**What properties should a fair election have and are these properties achievable in theory and in practice? How can mathematics and statistics be used to expose election fraud and gerrymandering? Students will address these questions as they compare different election systems, evaluate their strengths, weaknesses, and abuses, and design improvements to current structures. Topics will include gerrymandering, ranked voting, approval voting, and Arrow's Impossibility Theorem.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 69 – First-Year Seminar: Unfolding Infinity: Mathematical Origami and Fractal Symmetry.
Credits: 3**

**Description:**This seminar engages students in an exploration of the interplay between mathematics, origami, and fractal symmetry. Learning objectives will include mastering basic origami folding techniques, identifying and applying fundamental symmetry operations, recognizing and analyzing fractal symmetry, and creating geometric tessellations. Students will use image editing software (Illustrator and Photoshop), mathematical imaging software (Ultra Fractal), and the laser cutter in UNC's BeAM space, to design and create modular origami and fractal tessellation artwork.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 70 – First-Year Seminar: Topology and Symmetry.
Credits: 3**

**Description:**In this seminar, students will explore ideas from topology and geometry and their application to symmetry patterns. Students will learn to identify and classify two-dimensional symmetry patterns and create their own designs. Students will relate symmetry patterns to their folded-up counterparts, called orbifolds, and use tools from topology and geometry to determine which patterns are possible and which patterns can never be achieved.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; IDEAs in Action: FY-SEMINAR

**MATH 89 – First-Year Seminar: Special Topics.
Credits: 3**

**Description:**Special topics course. Content will vary each semester. Honors version available

**Grading Status:**Letter Grade

**Gen Ed:**IDEAs in Action: FY-SEMINAR

**Repeat Rules:**May be repeated for credit; may be repeated in the same term for different topics; 6 total credits. 2 total completions.

**MATH 110 – Algebra
Credits: 3**

**Description:**Provides a one-semester review of the basics of algebra. Basic algebraic expressions, functions, exponents, and logarithms are included, with an emphasis on problem solving. This course does not satisfy any general education requirements. It is intended for students who need it as a prerequisite for other classes. A student cannot receive credit for this course after receiving credit for MATH 231 or higher.

**Grading Status:**Letter Grade

**MATH 110L – Algebra Corequisite
Credits: 1**

**Description:**This course provides just-in-time instruction and practice on basic algebra to support students in Calculus 1. It also provides additional practice on some of the more difficult topics from MATH 110. This course is intended for students currently enrolled in MATH 110 who need additional review of algebra.

**Prerequisite:**Corequisite, MATH 110

**Grading Status:**Pass/Fail

**MATH 115 – Reasoning with Data: Navigating a Quantitative World
Credits: 3**

**Description:**Students will use mathematical and statistical methods to address societal problems, make personal decisions, and reason critically about the world. Authentic contexts may include voting, health and risk, digital humanities, finance, and human behavior. This course does not count as credit towards the psychology or neuroscience majors.

**Same As:**BIOL 115, PSYC 115, STOR 115.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 116 – Intuitive Calculus.
Credits: 3**

**Description:**Provides an introduction in as nontechnical a setting as possible to the basic concepts of calculus. The course is intended for the nonscience major. A student may not receive credit for this course after receiving credit for MATH 152 or 231.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 117 – Aspects of Finite Mathematics.
Credits: 3**

**Description:**Introduction to basic concepts of finite mathematics, including topics such as counting methods, finite probability problems, and networks. The course is intended for the nonscience major. A student cannot receive credit for this course after receiving credit for MATH 231 or higher.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 118 – Aspects of Modern Mathematics.
Credits: 3**

**Description:**Introduction to mathematical topics of current interest in society and science, such as the mathematics of choice, growth, finance, and shape. The course is intended for the nonscience major. A student cannot receive credit for this course after receiving credit for MATH 231 or higher.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 119 – Introduction to Mathematical Modeling.
Credits: 3**

**Description:**Provides an introduction to the use of mathematics for modeling real-world phenomena in a nontechnical setting. Models use algebraic, graphical, and numerical properties of elementary functions to interpret data. This course is intended for the nonscience major.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 129P – Precalculus Mathematics.
Credits: 0**

**Description:**Awarded as placement credit based on test scores. Does not fulfill a graduation requirement.

**Grading Status:**Letter Grade

**MATH 130 – Precalculus Mathematics.
Credits: 3**

**Description:**Covers the basic mathematical skills needed for learning calculus. Topics are calculating and working with functions and data, introduction to trigonometry, parametric equations, and the conic sections. A student may not receive credit for this course after receiving credit for MATH 231.

**Prerequisite:**MATH 110; a grade of C- or better is required.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FY-LAUNCH (only designated sections), FC-QUANT.

**MATH 152 – Calculus for Business and Social Sciences.
Credits: 3**

**Description:**An introductory survey of differential and integral calculus with emphasis on techniques and applications of interest for business and the social sciences. This is a terminal course and not adequate preparation for MATH 232. A student cannot receive credit for this course after receiving credit for MATH 231 or 241.

**Prerequisite:**MATH 110

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FY-LAUNCH (only designated sections), FC-QUANT.

**MATH 190 – Special Topics in Mathematics.
Credits: 3**

**Description:**An undergraduate seminar course that is designed to be a participatory intellectual adventure on an advanced, emergent, and stimulating topic within a selected discipline in mathematics. This course does not count as credit towards the mathematics major.

**Grading Status:**Letter Grade

**MATH 210 – Mathematical Tools for Data Science.
Credits: 3**

**Description:**This course introduces students to the tools of linear algebra and optimization, including solving linear systems, matrices as linear transformations, eigenvalues and eigenvectors, singular value decomposition, derivatives, and the method of gradient descent. Applications to data science are included such as image compression, principal component analysis, and neural networks. Computational tools (e.g. Python) will be used to implement algorithms. No programming experience needed. A student cannot receive credit after receiving credit for MATH 347.

**Prerequisite:**MATH 110 or MATH 110P

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FC-QUANT.

**MATH 231 – Calculus of Functions of One Variable I.
Credits: 4**

**Description:**Limits, derivatives, and integrals of functions of one variable. Students may not receive credit for both MATH 231 and MATH 241. Honors version available

**Prerequisite:**MATH 110 and MATH 130; Requires a grade of C- or better in MATH 130 or placement by the department.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QR; Ideas in Action: FY-LAUNCH (only designated sections), FC-QUANT.

**MATH 231L – Calculus I Corequisite.
Credits: 1**

**Description:**This course provides just-in-time instruction and review on algebra and trigonometry to support students in MATH 231. It also provides additional practice on some of the more difficult topics from Calculus 1. This course is intended to be taken by students currently enrolled in MATH 231 who need review of algebra and trigonometry.

**Prerequisite:**MATH 110 and MATH 130; requires a grade of C- or better in MATH 130 or placement by the department; Corequisite, MATH 231.

**Grading Status:**Pass/Fail

**MATH 232 – Calculus of Functions of One Variable II.
Credits: 4**

**Description:**Calculus of the elementary transcendental functions, techniques of integration, indeterminate forms, Taylor's formula, infinite series. Honors version available

**Prerequisite:**A grade of C- or better in MATH 231 or placement by the department.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; Ideas in Action: FY-LAUNCH (only designated sections), FC-QUANT.

**MATH 233 – Calculus of Functions of Several Variables.
Credits: 4**

**Description:**Vector algebra, solid analytic geometry, partial derivatives, multiple integrals. Honors version available

**Prerequisite:**MATH 232.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI; Ideas in Action: FY-LAUNCH (only designated sections), FC-QUANT.

**MATH 235 – Mathematics for Data Science.
Credits: 4**

**Description:**This course introduces students to some of the key mathematical tools underlying algorithmic data science. The primary focus of the course is matrix algebra and multivariable calculus. The mathematical topics covered in the course will be motivated and connected by concrete applications in data science, with an emphasis on machine learning and optimization.

**Prerequisite:**MATH 231 and MATH 232

**Same As:**STOR 235

**Grading Status:**Letter Grade

**Gen Ed:**Ideas in Action: FC-QUANT

**MATH 290 – Special Topics in Mathematics.
Credits: 1-3**

**Description:**Permission of the instructor. Elective topics in mathematics. This course has variable content and may be taken multiple times for credit.

**Grading Status:**Letter Grade

**Repeat Rules:**May be repeated for credit; may be repeated in the same term for different topics; 6 total credits. 6 total completions.

**MATH 294 – Undergraduate Seminor in Mathematics.
Credits: 1-3**

**Description:**Permission of the instructor. A seminar on a chosen topic in mathematics in which the students participate more actively than in usual courses.

**Grading Status:**Letter Grade

**Repeat Rules:**May be repeated for credit. 6 total credits. 2 total completions.

**MATH 296 – Directed Exploration in Mathematics.
Credits: 1-3**

**Description:**By permission of the director of undergraduate studies. Experimentation or deeper investigation under the supervision of a faculty member of topics in mathematics that may be, but need not be, connected with an existing course. No one may receive more than seven semester hours of credit for this course. Formerly offered as MATH 290.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: EE- Mentored Research; IDEAs in Action: RESEARCH.

**Repeat Rules:**May be repeated for credit; may be repeated in the same term for different topics; 7 total credits. 7 total completions.

**MATH 307 – Revisiting Real Numbers and Algebra.
Credits: 3**

**Description:**Central to teaching precollege mathematics is the need for an in-depth understanding of real numbers and algebra. This course explores this content, emphasizing problem solving and mathematical reasoning.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 347 – Linear Algebra for Applications.
Credits: 3**

**Description:**Algebra of matrices with applications: determinants, solution of linear systems by Gaussian elimination, Gram-Schmidt procedure, and eigenvalues. Previously offered as MATH 547.

**Prerequisite:**MATH 232.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 381 – Discrete Mathematics.
Credits: 3**

**Description:**This course serves as a transition from computational to more theoretical mathematics. Topics are from the foundations of mathematics: logic, set theory, relations and functions, induction, permutations and combinations, recurrence. Honors version available

**Prerequisite:**MATH 232.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 383 – First Course in Differential Equations.
Credits: 3**

**Description:**Introductory ordinary differential equations, first- and second-order differential equations with applications, higher-order linear equations, systems of first-order linear equations (introducing linear algebra as needed). Honors version available

**Prerequisite:**MATH 233.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 383L – First Course in Differential Equations Laboratory.
Credits: 1**

**Description:**Course is computational laboratory component designed to help students visualize ODE solutions in Matlab. Emphasis is on differential equations motivated by applied sciences. Some applied linear algebra will appear as needed for computation and modeling purposes.

**Prerequisite:**MATH 233; pre- or corequisite, MATH 383.

**Grading Status:**Letter Grade

**MATH 396 – Undergraduate Reading and Research in Mathematics.
Credits: 1-3**

**Description:**Permission of the director of undergraduate studies. This course is intended mainly for students working on honors projects. No one may receive more than three semester hours credit for this course.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: EE- Mentored Research; IDEAs in Action: RESEARCH.

**Repeat Rules:**May be repeated for credit; may be repeated in the same term for different topics; 6 total credits. 6 total completions.

**MATH 406 – Mathematical Methods in Biostatistics.
Credits: 1**

**Description:**Special mathematical techniques in the theory and methods of biostatistics as related to the life sciences and public health. Includes brief review of calculus, selected topics from intermediate calculus, and introductory matrix theory for applications in biostatistics.

**Prerequisite:**MATH 232.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 410 – Teaching and Learning Mathematics.
Credits: 4**

**Description:**Study of how people learn and understand mathematics, based on research in mathematics, mathematics education, psychology, and cognitive science. This course is designed to prepare undergraduate mathematics majors to become excellent high school mathematics teachers. It involves field work in both the high school and college environments.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: EE- Field Work; IDEAs in Action: COMMBEYOND.

**MATH 411 – Developing Mathematical Concepts.
Credits: 3**

**Description:**Permission of the instructor. An investigation of various ways elementary concepts in mathematics can be developed. Applications of the mathematics developed will be considered.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.

**MATH 418 – Basic Concepts of Analysis for High School Teachers.
Credits: 3**

**Description:**An examination of high school mathematics from an advanced perspective, including number systems and the behavior of functions and equations. Designed primarily for prospective or practicing high school teachers.

**Prerequisite:**MATH 233, MATH 381.

**Grading Status:**Letter Grade

**Gen Ed:**Making Connections: QI.