Mathematics Dept.

Degree Programs in Mathematics

Mathematics majors may elect the Bachelor of Science or Bachelor of Arts degree. Senior majors must take the Major Field Achievement Test in mathematics, preferably during your last semester.

As a rule, students should have an ACT math score of at least 28 (SAT math score of at least 600) to enroll in MATH 201. Corresponding minimum math scores to enroll in MATH 171 and MATH 151 are as follows: MATH 171, and ACT score of at least 25 (SAT at least 560); MATH 151, an ACT score of at least 22 (SAT at least 510). Leveling work decreases the number of electives or increases the total hours in the degree.

BACHELOR OF ARTS DEGREE

MATHEMATICS MAJOR (MATH)
(Non-Teacher Licensure)

REQUIREMENTS

HOURS

Liberal Arts:
Do not take PH S 111, 112, 113, 115, 116. The General Education requirements for physical science and mathematics are counted below in the hours required for the major.

48

Major:
MATH 201, 251, 275, 301, 313, 318, 323, 440 and 6 additional hours of mathematics courses numbered 300 or above; COMP 150; PHYS 201 or 211.

38

Minor:
The choice of minor could affect the number of elective hours

18

Electives:
Math leveling work, if needed, decreases electives by 5 hours.

16

Remaining Bible:

8

TOTAL HOURS

128



BACHELOR OF ARTS DEGREE

MATHEMATICS MAJOR (MEDU)
(Teacher Licensure)

REQUIREMENTS

HOURS

Liberal Arts:
Students must take POLS 205. Do not take PHS 111, 112, 113, 115, 116. The Liberal Arts requirements for mathematics and physical science are counted below in the hours required for the major.

EDFD 203, required in place of PSY 201, is counted below in the requirements for certification.

45

Major:
MATH 201, 251, 275, 301, 306, 313, 318, 323, 440 and 3 additional hours of mathematics courses numbered 300 or above (419 is strongly recommended); COMP 150; PHYS 201 or 211.

Math leveling work, if needed, increases total hours by 5 hours.

38

Licensure:
EDFD 202, 203, 311; SEED 314, 417, 425, 451, 480; SPED 418; HED 203. Consult the School of Education catalog section for additional licensure information.

32

Minor:
The choice of minor could reduce the total hours.

up to 18

Remaining Bible:
Bible is not required during the supervised teaching semester.

6

TOTAL HOURS

128-139



Mathematics as a Second Teaching Field: Students certifying in another major who desire to add mathematics as a second teaching field must take 22 hours of mathematics, including MATH 201, 251, 275, 306, and 6 additional hours numbered 300 or above, including 3 hours of algebra.

BACHELOR OF SCIENCE DEGREE

MATHEMATICS MAJOR (MATH)
(Non-Teacher Licensure)

REQUIREMENTS

HOURS

Liberal Arts:
The Liberal Arts requirements for biology and physical science must be included as part of the 25 science hours of the major.

45

Major:
MATH 201, 251, 275, 301, 313, 318, 323, 351, 440 and 6 additional hours of mathematics courses numbered 300 or above; COMP 150; PHS 410; 25 additional science hours, at least 6 of which must be upper level.

64

Electives:
Math leveling work, if needed, decreases electives by 5 hours.

13

Remaining Bible:
PHS 410 substitutes for Bible in the semester it is taken.

6

TOTAL HOURS

128



Mathematics Courses

100. BEGINNING ALGEBRA. (3) Fall, Spring. Basic arithmetic and an introduction to elementary algebra. Does not count as the Liberal Arts requirement or toward a major or minor in mathematics.

105. INTERMEDIATE ALGEBRA. (3) Fall, Spring. For students who present fewer than one and one-half entrance units in algebra or have inadequate preparation. Does not count toward a major or minor in mathematics. Prerequisite: MATH 100 with a "C" or higher or a score of 19 or higher on the Math ACT; or 450 or higher on the Math SAT.

151. COLLEGE ALGEBRA. (3) Fall, Spring. Rapid review of elementary algebra, quadratic equations, functions and graphs, inequalities, logarithms, ratio and proportion, variation, progressions, mathematical induction, binomial theorem, theory of equations, determinants, and complex numbers. Prerequisite: MATH 105 with a "C" or higher or a score of 22 or higher on the Math ACT; or 510 or higher on the Math SAT.

152. PLANE TRIGONOMETRY. (2) Fall, Spring. Trigonometric functions, functional relations, solution of right and oblique triangles with application, identities, inverse functions, and equations. Prerequisites: MATH 105 with a "C" or higher or a score of 22 or higher on the Math ACT; or 510 or higher on the Math SAT.

171. COLLEGE ALGEBRA AND TRIGONOMETRY. (5) Fall. An integrated course recommended for chemistry majors, preengineers, mathematics majors, and physics majors with a good background in mathematics. Students may not receive credit for 171 and 151 and/or 152. Prerequisites: A score of 25 or higher on the Math ACT; or 560 or higher on the Math SAT.

200. ELEMENTARY STATISTICS. (3) Fall, Spring. Elementary statistical techniques; descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, regression, and correlation.

201. ANALYTICS AND CALCULUS I. (5) Fall, Spring. Essentials of analytic geometry with an introduction to differential and integral calculus: Prerequisite: 151 and 152, or 171 (with a "C" or higher) or a score of 28 or higher on the Math ACT; or 600 or higher on the Math SAT.

241. MATHEMATICS FOR EARLY CHILDHOOD AND MIDDLE SCHOOL TEACHERS. (3) Fall, Spring. The real number system, number theory, geometry, and statistics from early childhood and middle school perspectives. Prerequisite: MATH 151 or a score of 27 or higher on the Math ACT, or 590 or higher on the Math SAT.

242. Math Applications for P-8 Teachers. (3) Fall, Spring. Topics are explored in mathematics content in the areas of statistics, probability, measurement, geometrical foundations, and rational numbers. Instruction provided in the use of appropriate mathematics, manipulatives, hands-on activities and technology. Emphasis is given to the Common Core State Standards and Arkansas state standards for mathematics. Prerequisite: MATH 151 and MATH 241 and admission to the Teacher Education Program. Corequisite: BIOL 408.

251. ANALYTICS AND CALCULUS II. (5) Fall, Spring. This course builds on concepts presented in Math 201. Topics include: techniques of integration, infinite series and sequences, tests for convergence, Power Series, Taylor series, polar ccordinates and graphic, and conic sections. Prerequisite: MATH 201 with a C or better.

260. DISCRETE MATHEMATICAL STRUCTURES. (3) Spring. An introduction to the basic techniques and concepts of combinatorial problem solving related to computer science applications.  Topics include formal logic, counting methods, recurrence relations, graph theory, finite state machines and grammars. Prerequisite: MATH 201 with a C or better.

270. GEOMETRY FOR MIDDLE LEVEL EDUCATORS. (3) Spring. Topics explored at an introductory level include measurement, 2- and 3-figures, transformations, and middle school concepts in fractals and chaos. Prerequisite: MATH 240.

275. Mathematical Thought. (2) Spring. Bridges the gap between the usual topics in elementary algebra, geometry and calculus and the more advanced topics in abstract algebra, geometry and analysis. Logic, methods of proof, and the elementary topics from advanced point of views are emphasized in order to develop critical thinking skills necessary for further mathematical study.

290. MATHEMATICS FOR MIDDLE LEVEL EDUCATORS. (3) Fall. Topics explored at an introductory level include logic, proof, probability and fundamental calculus concepts. Prerequisite: MATH 240.

301. ANALYTICS AND CALCULUS III. (3) Spring. This course builds on topics presented in MATH 201 and MATH 251. Topics include vectors, vector analysis, dot products, vector products and analytical geometry in three dimensions; tangent planes; partial derivatives; functions of several variables; and multiple integrals and their applications. Prerequisite: MATH 251 with a C or better.

306/506. FOUNDATIONS OF GEOMETRY. (3) Fall. An examination of Euclidean geometry with an introduction to non-Euclidean geometry. Prerequisite: MATH 201.

313/513. LINEAR ALGEBRA. (3) Fall. Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvectors and diagonalization. Prerequisite: MATH 201.

318/518. PROBABILITY. (3) Spring. Probability as a mathematical system, random variables and their distributions, limit theorems, and topics in statistical inference. Prerequisite: MATH 251.

323/523. MODERN ALGEBRA I. (3) Fall. Brief development of the complex number system beginning with the natural numbers. Abstract algebraic systems including groups, rings, fields, and integral domains. Prerequisite: MATH 313.

331/531. INTERMEDIATE ANALYSIS I. (3) Spring of even years. Real number systems, functions, sequences, additional topics in limits, continuity, differentiation, integration, infinite and power series, and uniform convergences. Prerequisite: MATH 301.

351/551. DIFFERENTIAL EQUATIONS. (3) Spring. Ordinary differential equations with applications. Prerequisite: MATH 251. Physics 211-212 is highly recommended.

367/567. COOPERATIVE EDUCATION. (1-6) Offered on demand. See Cooperative Education catalog section.

400. ADVANCED TOPICS IN MATHEMATICS. (3) Spring. Offered on sufficient demand. Topics from such areas as number theory, algebra, graph theory, topology, statistics, and real or complex analysis. Prerequisite: MATH 251 and consent of the instructor.

419/519. PROBABILITY AND STATISTICS. (3) Intersession. Estimation, decision theory and testing hypotheses, relationships in a set of random variables, linear models, and design. Prerequisite: MATH 318.

432/532. ADVANCED CALCULUS. (3) Offered on sufficient demand. Partial differentiation, applications to geometry of space, maxima and minima, Lagrange’s multipliers, indeterminate forms, elliptic integrals, line integrals, Green’s theorem, and transformation of multiple integrals. Prerequisites: MATH 301 and consent of instructor.

440. MATHEMATICS SEMINAR. (2) Fall, Spring. Career opportunities, graduate school opportunities and presentation of mathematics. Required of all junior and senior majors, but credit is earned only once. Enrolled students will be required to research and present a paper on an approved mathematics topic. Fee: See course fee schedule.

450/650. DIRECTED READINGS. (1-3) Offered on demand. Directed reading or project for senior mathematics majors or qualified graduate students. Prerequisite: Consent of department chairman.

525. MATHEMATICS FOR THE ELEMENTARY TEACHER. (3) Offered on demand. Mathematics from the elementary school perspective, including geometry, probability and statistics.

Mathematics
501-279-4361
math@harding.edu