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Mathematics

Mathematics and the General College Curriculum | Mathematics
Pre-Engineering Program | Mathematics Course Listing

Professors: Dr. Norwood (Chair), Dr. Taylor

Associate Professors: Dr. Kiu, Mrs. Todd

Assistant Professors: Dr. Williams, Miss Walker

Adjunct Faculty: Mr. Bryant, Dr. Yang, Mr. Zhang

Mathematics and the General College Curriculum
Successfully complete MATH 122 or two mathematics courses numbered 111 and above as selected by the major department (CSC 101 or PHIL 221 may be selected).

Requirements for a Major in Mathematics (CIP 27.0101)
The candidate must complete, with a "C" average or better, a minimum of 36 semester hours, with 18 of the semester hours at the 300 level or above and including Math 224, 333, 335, 441 and at least one course from Math 271, 273, or 278. Students may receive advanced placement for Math 122 or 223.

Requirements for a Minor in Mathematics
A student must complete, with a "C" average or better, 18 semester hours including Math 122, 223, 224 and two additional approved courses above the 224 level.

Requirements for Teacher Licensure in Mathematics (CIP 13.1311)
A student who desires licensure for teaching mathematics in the secondary schools must include in his major, courses in linear algebra, geometry, probability and statistics, modern algebra, and computer science.

Pre-Engineering Program (CIP 27.0199)
Campbell University offers a two year program in pre-engineering. The program has been approved by the Subcommittee on Engineering Transfer for transfer to the engineering programs at North Carolina A & T State University, North Carolina State University, and the University of North Carolina at Charlotte. General Requirements for Pre-Engineering Program: MATH 122, 223, 224, 273, 337; CHEM 111, 113; PHYS 251, 252; ENGL 101, 102; PE 111, 185; Electives 21 hours.

Mathematics Course Listing (MATH 000)

110 Fundamentals of Mathematics (3)
(Credit in Math 110 does not satisfy the General Mathematics requirement. If a student has credit in any other mathematics course, he may not enroll in Mathematics 110.) Basic skills are emphasized-addition, subtraction, multiplication and division of fractions; rules of exponents; solving linear equations; graphs; "word" problems.

111 College Algebra (3)
(Credit in Math 111 is not allowed if students have credit in Math 122.) A basic study of logic, structure, and foundations of algebra. Major topics include functions, inequalities, equations, roots, radicals and exponents.

112 Trigonometry (3)
A study of trigonometric functions, derivation of formulas, the solution of right and oblique triangles with practical applications, solving trigonometric equations, and verifying trigonometric identities, other topics include vectors, complex numbers, and logarithms. Prerequisite: A student should be proficient in algebra and geometry.

118 Mathematics for Liberal Arts(3)
Topics included: symbolic Logic, truth tables, analyzing arguments, sets and counting, probability, expected value, sample data, measures of central tendency, interest, annuities, amortized loans, geometry, matrices, Markov chains, linear programming.

122 Analytic Geometry and Calculus I (4)
Topics included: directed distance, slope of straight line, equations of a line, angle between two lines, conic sections, functions of one variable, graphs of functions, limits, continuity, derivatives, differentials, related rates, maximum and minimum problems, Rolle's and mean value theorems, integration, area, properties of the definite integral, and application of the definite integral.

160 Elementary Statistics (3)
Emphasis on statistical inference beginning with a study of elementary probability and continuing to "decision making" through topics that include: mean, standard deviation, analysis of variance, regression analysis of variance, regression analysis, and hypothesis testing.

203 Mathematics Principles (3)
A study of strategies to solve a variety of problems, our numeration system, number theory, geometry, and measurements. Prerequisites: Math 111, high school geometry and an elementary/middle grades education major.

204 Geometry for Elementary Teachers (3)
A study of geometry that will be suitable for middle grades, including basic constructions, paper folding, symmetry, transformational geometry tessellations, fractals, networks, and four color graphs.

212 Logic (3)
A study of arguments to determine validity. Different types of common fallacies will be examined and other inconsistencies that cause an argument to be invalid. Arguments will be written in symbolic for and checked for validity by truth tables. More complex arguments will be checked for validity by methods common to logic. Students will be expected to construct a valid argument in symbolic form.

223 Analytic Geometry and Calculus II (4)
Topics included: differentiation and the integration of logarithmic, exponential, trigonometric, inverse trigonometric, and rational functions, and other special forms, approximating definite integral, polar and Cartesian equations of conic sections, and hyperbolic functions. Prerequisite: Math 122.

224 Analytic Geometry and Calculus III (4)
Topics included: vectors in a plane, dot product, derivative of vector value functions, arc length, velocity vector, acceleration vector, unit tangent and normal vectors, curvature, indeterminate forms, improper integrals, vectors in three dimensions, cross product, lines in space, surfaces and revolution, limits of functions of two or more variables, continuity, partial differentiation, double and triple integrals and series. Prerequisite: Math 223.

271 Introduction to programming using C/C++ (3)
An introduction to the basic concepts of programming using the C/C++.

273 Introduction to PASCAL (3)
An introduction to the basic concepts of programming in PASCAL.

278 Introduction to Java (3)
This course will cover programming in the Java Language, the language of the Internet. The course will cover a history of the rapid development of Java as a computer language for "write once, run anywhere".

331 History of Mathematics(3)
A study of the historical development of the various branches of mathematics and, of the contributions of noted mathematicians to the science of mathematics.

333 Linear Algebra (3)
A study of the basic properties of matrices, properties of determinants, rank of a matrix, equivalent matrices, inverse of a matrix, vectors and vector spaces, linear transformations, linear operators, unit and orthogonal transformations, characteristic equations and roots, minimum polynomial, bilinear, quadratic and Hermitian forms.

335 Introduction to Probability and Statistics (3)
A study is made of mathematical models of random phenomena, mean and variance of probability law, law of large numbers, algebra of expectations, frequency distribution, generating functions, correlation, regression, analysis of variance, and hypothesis testing. Prerequisite: Math 223.

337 Differential Equations (3)
Topics included: Methods of solution of first order linear differential equations, higher order linear differential equations, higher degree differential equations, and special differential equations; operators; Laplace transforms, and applications. Prerequisite: Math 223.

340 Discrete Mathematics (3)
This course covers the following topics: sets, symbolic logic, relations, functions, mathematical induction, recurrence equations, trees, spanning trees and graph theory.

376 Introduction to Numerical Methods (3)
Concerned with the practical solution of problems on computers. Prerequisite: Math 271 or 273, Co-requisite: Math 224.

441 Introduction to Modern Abstract Algebra (3)
A study of the number system, groups, rings, integral domains, and fields. Prerequisite: Math 122 (shall have junior standing).

443 Topics in Geometry (3)
An integrated course which includes set theory, logic, a critical study of Euclidean geometry from modern postulation systems and a comparison of Euclidean geometry to elliptic, hyperbolic, and projective geometries.

445 Analysis (3)
An introduction to analysis covering the real and complex number system, basic topology, numerical sequences and series, continuity, differentiation, and the Riemann Stieltjes integral.

453 Methods of Teaching Mathematics (2)
A study of methods of teaching mathematics in the secondary school. A course in general methods is also required.

501 Topics in Math for Elementary Teachers (3)
Selected topics in mathematics including algebra, geometry, probability, trigonometry. For Elementary (K-4; 4-6; 6-9) Education majors only.

510 Topics in Geometry (3)
Axiomatic systems, finite and incidence geometry, neutral geometry, parallel postulate with implications, Euclidean geometry, analytic and transformational geometry, non-Euclidean geometries.

522 Number Theory (3)
The course will include divisors and prime numbers, congruencies, Euler's o-function, Diophantine equations, Pythagorean triplets, quadratic reciprocity, and continued fractions.

535 Probability and Statistics (3)
Topics from probability, random variables, expectation, random sampling, test of hypotheses and regression.

540 Introduction to Topology (3)
A study of the basic concepts of general topological space including such topics as compactness, product spaces, connectedness, metric spaces and continuous functions.

545 Real Variables(3)
A study of the real numbers and real valued functions covering the topics: direct products, relations, orderings, sequences, open and closed sets, measurable sets and functions, Riemann integral, Legesgue integral, monotone functions, absolute continuity, matrix spaces, and topological spaces.

 

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