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North Carolina Central University

(p) 919-530-6100

1801 Fayetteville St.

Durham, NC 27707

ClassID |
Name |
Description |
Credits |

MATH 1000 | Introductory College Algebra | Prerequisite: Credit is not allowed if a student has prior credit in any other mathematics course. Required of all freshmen who did not make a satisfactory grade on the placement test. Math 1000 provides preparation for Math 1070 and Math 1100 and does not count as credit toward graduation. The course will review basic algebra, including evaluation of algebraic expressions, factoring, radicals, exponents, fractional expressions, solutions of linear equations, polynomials and word problems. Students will use technology-based learning resources as well as problem sessions/tutoring led by competent student assistants, as a supplement to regular class instruction, in order to gain skills and improve their knowledge of course concepts. | 3 |

MATH 1070 | College Algebra Concepts: Modeling with Technology | Not open to students with credit in MATH 1100. Prerequisite: C or better in MATH 1000 or placement by University Testing. A college algebra technology-based course using computer spreadsheets and TI-83 graphics calculator. Spreadsheets, charts, tables, and graphs are used extensively to develop and visually enhance problem- solving skills. Topics include linear, quadratic, cubic, logarithmic and exponential models and applications; various types of regression models and statistical data analyses; inequalities and system of equations; scientific, social, and business models and applications; combinations, permutations, and binomial expansions; some probability and statistics; and TI programming. | 3 |

MATH 1100 | College Algebra and Trigonometry I | Not open to student with credit in MATH 1070. Prerequisite: C or better in MATH 1000 or placement by University Testing. The first of a two-course sequence in college algebra and trigonometry designed for students planning to take calculus. Topics include fractional expressions, exponents and radicals, equations and inequalities of linear and quadratic types, functions and graphs, exponential and logarithmic functions and the binomial theorem. | 3 |

MATH 1110 | College Algebra and Trig I | 3 | |

MATH 1200 | College Algebra and Trigonometry II | Prerequisite: C or better in MATH 1100. A continuation of MATH 1100 with trigonometry, including simultaneous equations, graphical solution of systems of inequalities, polynomial equations and functions, sequences and series, trigonometric functions, analytical trigonometry, right angle trigonometry, and the laws of sines and cosines. | 3 |

MATH 1210 | finite Mathematics | Prerequisite C or better in MATH 1070 or1100. An introduction to sets, counting principles, the theory of probability, systems of linear equations and inequalities, vectors and matrices, and linear programming with applications involving optimization utilizing the simplex procedure. | 3 |

MATH 1410 | Pre-Calculus Mathematics | Prerequisite: Permission of department. An intensive course in pre-calculus mathematics including structure of the real number system, fundamental concepts of algebra, the elementary functions and their graphs, inequalities, theory of equations, complex numbers, the binomial theorem, and trigonometric functions, analytical trigonometry, applications of trigonometry and mathematical induction. | 5 |

MATH 2000 | Calculus for Non-Science Majors | Prerequisite: C or better in MATH 1100. An intuitive treatment of the calculus, including functions, limits, continuity, the techniques of differentiation and an introduction to integration. Applications to business and economics, the life sciences and the behavioral sciences. | 3 |

MATH 2002 | Concepts of the Real Number System I | Prerequisite: C or better in MATH 1100 and 1200. A two- semester sequence in fundamental concepts and the structure of the real number system and its subsystems presented from an arithmetic, algebraic, and geometric point of view. These courses are for students who are majoring in elementary or middle school education. | 3 |

MATH 2003 | Concepts of the Real Number System II | Prerequisite: C or better in MATH 2002. A two-semester sequence in fundamental concepts and the structure of the real number system and its subsystems presented from an arithmetic, algebraic, and geometric point of view. These courses are for students who are majoring in elementary or middle school education. | 3 |

MATH 2005 | Foundations of Geometry | Prerequisite: C or better in MATH 1100. Fundamental concepts of geometry, including those concepts which form the core of geometric knowledge, the axioms which develop geometric intuition and insight, and the formulation of deductive subsystems. Geometric ideas will be illustrated in practical settings. This course is for students who are majoring in elementary or middle school education. | 3 |

MATH 2010 | Calculus and Analytic Geometry I | Prerequisite: C or better in MATH 1200 or 1410, or permission of the department. An introduction to the differential and integral calculus with analytic geometry including functions, limits, continuity, methods and applications of differentiation | 5 |

MATH 2020 | Calculus and Analytic Geometry II | Prerequisite: C or better in MATH 2010. Theory and technique of integration with applications, differentiation and integration of transcendental functions, numerical integration methods, improper integrals, bounded growth models, separable, first order differential equations, polar coordinates, parametric representations, and analytic geometry in the plane. | 5 |

MATH 2030 | Calculus and Analytic Geometry III | Prerequisite: C or better in MATH 2020. An introduction to Multivariable calculus, partial derivatives with applications to special partial differential equations, double and triple integrals with applications, and analytic geometry in space. Vectors and parametric equations in space, infinite sequences and series, including power series, Taylor series with remainder, and applications. | 3 |

MATH 2400 | Introduction to Statistics for Science Majors | Prerequisites: C or better in MATH 1100, 1410, or 2010. A study of key concepts in statistics and probability: combinatorics, probability laws, random variables, and distributions. Includes the fundamental tools of statistics: data collection, graphical and numerical methods for describing data, experimental design, simple regression and correlation, categorical data analysis, and statistical inference. | 3 |

MATH 2500 | Statistical Methods | Prerequisites: C or better in MATH 1100, 1410, or 2010. An applications oriented study of statistical methods, including analysis of variance, linear and multiple regressions, hypothesis testing and sampling techniques. Assignments involve extensive use of SAS, SPSS, or other computer statistical packages. | 3 |

MATH 3020 | Differential Equations | Prerequisite: C or better in MATH 2020. A study of elementary ordinary differential equations. Topics include solutions of linear and non-linear differential equations, power series solutions, systems of differential equations and computer based numerical techniques with applications. | 3 |

MATH 3100 | Supervised Laboratory Experiences | Prerequisite: Admission to the teacher education program. A program of experiences designed to provide the student with competence in mathematics teaching skills as well as an overview of the mathematics teaching profession. Experiences will include classroom discussions, simulated teaching experiences, observations, and weekly participation in teacher-aide and tutorial activities in local secondary schools. May not be used to satisfy a mathematics elective requirement. | 3 |

MATH 3410 | Numerical Analysis | Prerequisites: C or better in MATH 2020 and knowledge of a programming language. A computer-based introduction to numerical analysis illustrated by examples from a number of different scientific fields. Topics include solutions of linear and non-linear equations, Eigen value computation, curve fitting, interpolation theory, numerical integration, differentiation and solution of differential equations. | 3 |

MATH 3500 | Elementary Number Theory | Prerequisite: C or better in MATH 2030. A study of the properties of the integers including: Well ordering, the axiom of mathematical induction, divisibility, unique factorization, Diophantine equations, congruences, the Chinese remainder theory, number theoretic functions, Euler’s and Wilson’s theorem, perfect numbers, and quadratic residues. | 3 |

MATH 3910 | Undergraduate Honors Seminar | Prerequisite: Junior standing and permission of the department. A guided research seminar intended for mathematics majors. Students learn techniques for solving challenging problems, write mathematical proofs, investigate selected topics in mathematics, and participate in ongoing research. Includes individual or team projects and oral presentations. Students must devote three research hours of work per week for each semester credit hour and must produce a written report on their project | 1 to 3 |

MATH 4100 | Introduction to Geometries | Prerequisite: C or better in MATH 2030. An introduction to non-Euclidean geometries, axiom systems of Euclidean geometry, plane projective geometry, geometry as the study of the invariant theory of a transformation group and sub geometries of projective geometry. | 3 |

MATH 4200 | History of Mathematics | Prerequisite: C or better in MATH 2010. A survey of the history of mathematics with emphasis on selected topics of interest to secondary teachers; topics include algebra, geometry, trigonometry, and calculus. May not be used to satisfy a mathematics elective requirement. | 3 |

MATH 4210 | Introduction to Probability and Statistics I | Prerequisite: C or better in MATH 2020. Discrete and continuous probability distributions, sampling, estimation, hypothesis testing, confidence methods, regression analysis, techniques of experimental design and non parametric methods. | 3 |

MATH 4220 | Introduction to Probability and Statistics II | Prerequisite: C or better in MATH 2020. Discrete and continuous probability distributions, sampling, estimation, hypothesis testing, confidence methods, regression analysis, techniques of experimental design and non parametric methods. | 3 |

MATH 4310 | Advanced Multivariable Calculus I | Prerequisite: C or better in MATH 2030. The algebraic and topological properties of the real number system; Euclidean n-space as a linear vector space and as a metric space; norms; limits; continuity and differentiability properties of functions of several variables; integration; convergence; vector calculus; line and surface integrals; the theorems of Green, Stokes, and Gauss; curvilinear coordinates; implicit and inverse function theorems; transformation mappings; and Jacobians. | 3 |

MATH 4320 | Advanced Multivariable Calculus II | Prerequisite: C or better in MATH 2030. The algebraic and topological properties of the real number system; Euclidean n-space as a linear vector space and as a metric space; norms; limits; continuity and differentiability properties of functions of several variables; integration; convergence; vector calculus; line and surface integrals; the theorems of Green, Stokes, and Gauss; curvilinear coordinates; implicit and inverse function theorems; transformation mappings; and Jacobians. | 3 |

MATH 4410 | Linear Algebra I | Prerequisite: C or better in MATH 2020. Computation infinite dimensional vector spaces, including linear transformations, matrix algebra, solution of linear systems, inner products, bilinear and quadratic forms, diagonalization of symmetric matrices, and applications. | 3 |

MATH 4420 | Linear Algebra II | Prerequisite: C or better in MATH 4410. A continuation of MATH 4410 with emphasis on the theory of linear transformations and finite dimensional vector spaces. | 3 |

MATH 4430 | Abstract Algebra I | Prerequisite: C or better in MATH 4410. A two-semester sequence of study of algebraic structures. Includes theory and applications involving groups, rings, fields, modules over principal ideal domains and Galois theory. | 3 |

MATH 4440 | Abstract Algebra II | Prerequisite: C or better in MATH 4410. A two-semester sequence of study of algebraic structures. Includes theory and applications involving groups, rings, fields, modules over principal ideal domains and Galois theory. | 3 |

MATH 4520 | Topics in Applied Mathematics | Prerequisites: C or better in MATH 3020 and 4410. An introduction to analytic methods of applied mathematics, model building with computer utilization; illustrative examples and case studies chosen from a wide range of areas of application. | 3 |

MATH 4530 | Operations Research | Prerequisite: C or better in MATH 4410. Mathematical models and methods for decision-making. Topics chosen from: linear programming, dynamic programming, game theory, and queuing theory. | 3 |

MATH 4610 | Introductory Real Variable Theory I | Prerequisite: C or better in MATH 4320. The real number system, metric spaces, topology, limits, and continuity in Euclidean space, functions of bounded variation. Riemann- Stieltjes integrals, series of functions and series expansion, derivatives, Lebesque integration. | 3 |

MATH 4620 | Introductory Real Variable Theory II | Prerequisite: C or better in MATH 4320. The real number system, metric spaces, topology, limits, and continuity in Euclidean space, functions of bounded variation. Riemann- Stieltjes integrals, series of functions and series expansion, derivatives, Lebesque integration. | 3 |

MATH 4630 | Introductory Complex Analysis | Prerequisite: C or better in MATH 4310. Algebra and geometry of the complex numbers, analytic functions, integrals, power series, residues, poles, conformal mapping, contour integration, analytic continuation and multivalued functions, boundary value problems and integral theorems. | 3 |

MATH 4800 | Introductory Topology | Prerequisites: C or better in MATH 4320 and 4410. Metric spaces, topologies, derived spaces and continuity, the separation axioms, convergence, nets and filters, covering principles, compactness, connectedness, metrication and compactification. | 3 |

MATH 4900 | Independent Study I | Prerequisite: Permission of department. Independent research under the guidance of a professor. The faculty mentor directs the study and assesses the student’s knowledge through oral and written reports. Repeatable for credit. Departmental approval is required for registration. | 1 to 3 |

MATH 4910 | Independent Study II | Prerequisite: Permission of department. Independent research under the guidance of a professor. The faculty mentor directs the study and assesses the student’s knowledge through oral and written reports. Repeatable for credit. Departmental approval is required for registration. | 1 to 3 |

MATH 4920 | The Senior Seminar in Mathematics | Prerequisite: senior classification and MATH 3020 and 4410 with grades of C or better. An introduction to mathematical research and mathematical modeling through problem solving activities. Through individual and group projects, students will participate actively in the entire modeling process and undertake investigations of challenging problems chosen from a variety of areas of the mathematical sciences. May be repeated for a maximum of 3 credit hours. | 1 to 3 |

MATH 4930 | Topics in Mathematics | Prerequisite: permission of department. Content varies from semester to semester. Interested students must consult the instructor or department chair prior to enrolling. Possible topics include actuarial mathematics, partial differential equations, mathematical logic, analysis of variance, and other advanced topics. | 1 to 3 |

MATH 4940 | Cooperative Education | Prerequisite: permission of department. Through cooperative arrangements between the University and an employer, the student may receive credit for on-the-job instruction which contributes to the student’s education and employability as a mathematician. Repeatable for a maximum of 6 credit hours. Department approval is required for registration. May not be used to satisfy a mathematics elective requirement. | 1 to 3 |

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1801 Fayetteville St., Durham, NC 27707