Elementary concepts of algebra including quadratic equations, the function concept and systems of linear equations. This basic skills course does not count for university credit nor in the GPA.
An introduction to academic life at UNC, the mathematical sciences majors, and careers in the mathematical sciences for incoming freshmen. S/U graded.
Prerequisite: Minimum of one full year of high school algebra with a grade of C or better. Learn about several topics in mathematics through intuitive presentation to help those who want to know more about mathematics. Not open to mathematics majors and minors.
Provides supplemental academic support for students enrolled in College Algebra (
MATH 124) including content review and study skills. Required course based on the math placement index. S/U graded.
MATH 124
Topics covered in this course include linear, quadratic, exponential and logarithmic functions, matrices, theory of equations.
(ALKS-ALEKS Test Score: with minimum score of 041 or ALKS-ALEKS Test Score: with minimum score of 025 or May concurrently take
MATH 123: with minimum grade of S)
Study circular functions and their applications, inverse trigonometric functions and identities and cover complex numbers through DeMoivre's Theorem.
Prerequisite: Full year of modern, second year high school algebra with the grade of B or better. Develop those skills required in calculus, including polynomial functions, exponential and logarithmic functions, trigonometric functions, vectors, analytic geometry and polar coordinates.
Provides support for students taking Calculus I by reviewing and exploring important prerequisite concepts required for calculus in a timely manner. Topics include relevant areas of algebra, trigonometry and pre-calculus.
(May concurrently take
MATH 131: with minimum grade of D- or May concurrently take
MATH 171: with minimum grade of D-)
Credit allowed for only one of
MATH 131 and
MATH 171. First course in a three course sequence in calculus. Differentiation and related concepts, applications of derivatives, including exponential, logarithmic and trigonometric functions.
(ALKS-ALEKS Test Score: with minimum score of 060 or ALKS-ALEKS Test Score: with minimum score of 045 or May concurrently take
MATH 130: with minimum grade of S)
Second course in three course sequence in calculus. Integration and applications of integration, sequences and series.
Credit allowed for only one of Math 131 and Math 171. Differentiation and related concepts, applications of derivatives, including exponential. logarithmic and trigonometric functions. Introduction to integration. Emphasis on applications to the life sciences.
(ALKS-ALEKS Test Score: with minimum score of 060 or ALKS-ALEKS Test Score: with minimum score of 045 or MATH 130)
Techniques and applications of differential and integral calculus with an emphasis on applications to economics and business.
(A02-ACT Math: with minimum score of 26 or S02-SAT Mathematics: with minimum score of 560 or S12-MATH SECTION SCORE: with minimum score of 580 or
MATH 124: with minimum grade of C)
First of three courses designed for prospective elementary teachers. Emphasizes the real number system and arithmetic operations. Explorations focus on mathematical structures and subsets of real numbers, via patterns, relationships, and properties. Content presented using problem solving and exploration.
Second of three courses designed for prospective elementary teachers. Emphasizes algebra, probability, and data analysis. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and probabilities.
Emphasizes development of algebraic reasoning in conjunction with arithmetic operations. Explorations focus on mathematical structures and operations via implementation of various concrete and abstract models, pattern analysis, relationships, and properties. This course is designed for prospective elementary teachers in the mathematics concentration.
This course emphasizes the development of functional reasoning in conjunction with elementary calculus concepts. Explorations focus on functions, limits, structure of the real numbers, continuity, slope and integration concepts. This course is designed for prospective elementary teachers in the mathematics track.
A score of 50 on the mathematics placement index, and either
MATH 124 with a grade of C or better (C- is not acceptable) or two years of high school algebra with grade of C or better. Study circular functions and their applications, inverse trigonometric functions and identities.
MATH 124: with minimum grade of C
Vector spaces, linear transformations, matrices, determinants, eigenvalues and eigenvectors, applications.
A survey course of non-calculus based mathematics used extensively in computer science and other disciplines. Study sets, types of proofs, logic, recursion and related topics.
Third course in a three course sequence in calculus. Differentiation and integration of functions of several variables, vector functions, parametric equations, Green's Theorem.
Third of three courses designed for prospective elementary teachers. Emphasizes development of spatial reasoning in geometry and measurement. Explorations focus on two- and three dimensional shapes, their properties, measurements, constructions, and transformations.
This course focuses on the topics in Discrete Mathematics that are most fundamental for Elementary and Middle School teachers. Topics include sequences, graph theory, set theory, counting methods and probability. This course is designed for prospective elementary teachers in the mathematics track.
Focus is on depth of understanding and ability to explain models and concepts involving number operations, fractions, bases, ratio and proportion, functions, structure of the real and rational numbers.
An introduction to abstract algebra. Topics will include: basic number theory, group theory, geometrical connections and mappings.
A continuation of
MATH 321. Topics will include: rings, integral domains, fields and Galois theory.
Study the theory and solutions of ordinary differential equations including applications.
Continuation of
MATH 335. The existence and uniqueness theory, systems of equations, boundary value problems and an introduction to partial differential equations.
Explores Euclidean and non-Euclidean geometries from multiple perspectives, with an emphasis on developing problem solving, communication, and logical reasoning skills.
Continuation of Math 341. This course will continue the study of the foundations of geometry, exploring Euclidean and non-Euclidean geometries.
An introduction to probability. Axioms of probability, conditional probability, combinatorial techniques, discrete and continuous random variables, central limit theorem. Elements of statistical inference: estimators, confidence intervals and hypothesis testing.
May concurrently take
MATH 132: with minimum grade of C
A continuation of
MATH 350. Learn about jointly distributed random variables, central limit theorem, sampling distributions, properties of estimation, confidence intervals and tests of hypothesis.
MATH 350: with minimum grade of C and May concurrently take
MATH 233: with minimum grade of C
Numerical solutions of equations and systems of equations; interpolation and approximation; numerical differentiation and integration; numerical solutions of differential equations.
This course focuses on Mathematical Problem Solving for future elementary and middle school teachers. Emphasis is on problems that require fundamental concepts from a variety of mathematical topics and levels. This course is designed for prospective elementary teachers in the mathematics track.
Topics will include basic properties of the Natural Numbers, prime numbers, divisibility, factorization, congruences, Euler's phi function, introduction to Diophantine Equations and some group theory.
Emphasis will be on problem solving skills, reasonableness of answers, using calculators and computers and on problem posing.
Individualized investigation under the direct supervision of a faculty member. (Minimum of 37.5 clock hours required per credit hour.)
Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis. Includes: real numbers, sequences, topology, limits, continuity, differentiation, series and integration.
Use mathematical tools to develop models of practical problems. Emphasize development, verification and interpretation of models and communication of results.
First course in complex variables, especially for potential calculus teachers. After preliminaries, proceed directly to power series, Laurent's series, contour integration, residue theory, polynomials and rational function.
Survey of mathematical conceptual development and the people involved from antiquity to the present, including pedagogical applications, content connections, and use of reference resources.
Surveys topics in areas such as geometry, analysis, algebra, statistics, numerical analysis, topology and number theory not in existing courses, which reflect specific interests of instructors and students.