Mathematics Program
Faculty/Staff
Gerald Springer, Chair; Jonathan Duarte, Ryan Loga
Aims of the Program
First, we aim to give each student an understanding of basic mathematics and its application to solving problems expressible by algebraic equations and inequalities. Second, we aim to train students to understand the fundamental concepts of mathematics so that they can teach the subject on the elementary or secondary level. Third, we aim to give a solid foundation in the area of mathematics which will prepare students to pursue further studies in mathematics, the physical sciences, economics, and the engineering sciences.
Mathematics Degrees and Certificates
- B.A. Mathematics
- B.S. Mathematics
- B.S. Mathematics Secondary Teaching Area
- Minor in Mathematics
- Minor in Mathematics - Secondary Certification
Mathematics Classes
MATH 013 : Algebra
Credits: 3
This course provides the student with a basic understanding of addition, subtraction, multiplication, and division of fractions and rational expressions in addition to an understanding of quadratic equations, inequalities and graphing.
This course meets five days a week. This course does not apply toward general education or graduation requirements.
MATH 103 : The Essentials of Mathematics
Credits: 3
This course covers the following topics: fraction, decimal, percent, conversion of units, dimensional analysis, measurements, linear relationships, exponential relationships, logarithmic relationships, simple interest, compounded and continuous interest, annuity, graphical representation of data, descriptive and inferential statistics, logic and sets, and proof writing.
MATH 110 : College Algebra
Credits: 3
A study of algebraic expressions, equations, inequalities, and functions. Includes function composition, inverse functions, and graphs of functions. Solutions of linear and quadratic functions are presented (including complex numbers) with extension to other polynomial functions. Topics also include properties and graphs of rational functions, and systems of linear equations and their solutions including matrix methods and determinants.
Prerequisites
Aleks Placement Test Score of 46-60 or an SAT mathematics score of at least 530 or an ACT mathematics score of at least 21 or MATH 013 with a grade of C- or higher or permission of the department.
MATH 121 : Precalculus
Credits: 3
A review of basic properties of functions including their domain, range, graphs, and relationship to their inverse functions with an emphasis on exponential and logarithmic functions and their applications. An introduction to trigonometry including basic definitions of the trigonometric functions and their properties, identities, and specific trigonometric formulae such as addition and subtraction, double-angle, and half-angle. Applications to triangles are covered utilizing the laws of sines and cosines. Other topics such as polar coordinates and conic sections are presented. This course includes an introduction to sequences, series, limits, and aspects of calculus.
Prerequisites
Aleks Placement Test Score of 61-75, or a high school Algebra II course with a grade of at least a B along with an SAT mathematics score of at least 530 or an ACT mathematics score of at least 21, or MATH 110 with a grade of C- or higher, or permission of the department.
MATH 131 : Applied Mathematics
Credits: 3
This course covers topics from number concepts and operations, patterns and algebra, geometry and measurement, and probability and statistics with an emphasis on problem solving in the real world. The course covers fundamental aspects of mathematics as required by the Texas Department of Education.
Prerequisites
Aleks Placement Test Score of 46-60 or an SAT mathematics score of at least 530 or an ACT mathematics score of at least 21 or MATH 013 with a grade of C- or higher or permission of the department.
MATH 141 : Introduction to Probability and Statistics
Credits: 3
An introduction to the statistical processes of sampling, descriptive statistics, presentation of data, and inferential statistics. Included are elements of probability, discrete and continuous random variables, and the probability basis for hypothesis testing. Specific statistical techniques and concepts include use of the normal distribution, the t-distribution, X2 distribution, analysis of variance, correlation, and linear regression.
Prerequisites
Aleks Placement Test Score of 46-60 or an SAT mathematics score of at least 530 or an ACT mathematics score of at least 21 or MATH 013 with a grade of C- or higher or permission of the department.
MATH 181 : Calculus I
Credits: 4
A study of algebraic and transcendental functions of one variable, limits, continuity, differentiation, integration, and applications of derivatives and integrals.
Prerequisites
Aleks Placement Test Score of 76-100 or MATH 121 with a grade of C- or higher or a high school precalculus with a grade of at least a B and permission of the instructor.
MATH 182 : Calculus II
Credits: 4
A study of the calculus of transcendental functions, introduction to differential equations, applications of integration, techniques of integration, and infinite series.
Prerequisites
MATH 181 with a grade of C- or higher
MATH 283 : Calculus III
Credits: 4
A study of vectors in two and three dimensions, motion in space, polar, cylindrical and spherical coordinate systems, functions of several variables, partial derivatives, multiple integrals, and differentiation and integration in scalar and vector fields.
Prerequisites
MATH 282 with a grade of C- or higher
MATH 298 : Individual Study Topics
Credits: 1 - 2
Designed for the student who wishes to do independent study or research. Content and method of study must be arranged prior to registration. May be repeated for a total of 2 credits.
Prerequisites
Approval by the department chair
MATH 299 : Directed Group Study Topics
Credits: 1 - 3
Provides academic departments an opportunity to offer courses in specialized or experimental areas, either lower or upper division, not listed in the undergraduate Bulletin. May be repeated for a total of 3 credits.
Prerequisites
Approval by department chair
MATH 311 : Logic and Set Theory
Credits: 3
An introduction to mathematical proofs, elementary logic, sets, equivalence relations, and functions. The emphasis is on understanding and writing of proofs. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
Math 182 with a grade of C- or higher
MATH 321 : Differential Equations
Credits: 3
This is a study of ordinary differential equations with emphasis on the analytic methods for solving them. This course covers first-order differential equations, higher-order differential equations, modeling with differential equations, system of linear differential equations, series solutions, and Laplace transforms. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 322 : Partial Differential Equations
Credits: 3
Partial differential equations, Fourier series, boundary value problems, Bessel functions, Legendre polynomials. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 341 : Geometry
Credits: 3
This course is a study of Euclidean and non-Euclidean geometry. The course is taught within a historical context with a chronological introduction to the history of geometry. The mathematics from ancient times to calculus, together with selected topics from the history of modern mathematics. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 361 : Introduction to Linear Algebra
Credits: 3
An introduction to vector spaces and matrix theory over the field of real numbers.
Prerequisites
MATH 371 : History of Mathematics
Credits: 3
A survey of the development of classical mathematics from ancient times to calculus, together with selected topics from the history of modern mathematics. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 381 : Complex Variables
Credits: 3
This course is a study of analytic functions, power series, calculus of residues, and conformal mappings. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 411 : Numerical Analysis with Application
Credits: 3
This is a course in numerical methods for solving mathematical problems. It covers solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations, and error analysis. The writing of computer programs for solving problems is a part of the course. Offered via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 431 : Abstract Algebra
Credits: 3
A study of the abstract systems: groups, rings, fields, and integral domains. Offered fall odd years via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 441 : Calculus-Based Probability Theory
Credits: 4
A study of the basic ideas of probability theory, discrete and continuous random variables, and their distributions. Offered fall, even years via Southwestern's virtual classroom from Southern Adventist University and fall, odd years via Southwestern's virtual classroom from Union College, NE.
Prerequisites
MATH 442 : Actuarial Exam P Preparation
Credits: 3
This course prepares students to take Exam P from the Society of Actuaries. Offered via Southwestern's virtual classroom from Union College, NE.
Prerequisites
MATH 461 : Number Theory
Credits: 3
A study of topics including Diophantine equations, congruences, prime numbers, and applications. Emphasis is placed on proving theorems.
Prerequisites
MATH 471 : Real Analysis
Credits: 3
This is a study of functions of one real variable, and the conditions for differentiability and for integrability of these functions. Emphasis is placed on proving theorems. Offered fall even years via Southwestern's virtual classroom from Southern Adventist University.
Prerequisites
MATH 484 : Mathematics Seminar
Credits: 1
Oral presentation of research papers or articles from the variety of topics in mathematics.
Prerequisites
Senior level standing
MATH 485 : Portfolio
Credits: 1
This course fulfills the requirement for a capstone/portfolio completion course.
Prerequisites
MATH 498 : Individual Study Topics
Credits: 1 - 3
Designed for the student who wishes to do independent study or research as well as a mathematics lecture based course covering a topic not routinely offered. Content and method of study must be arranged prior to registration. May be repeated for a total of 3 credits.
Prerequisites
Approval by the department chair
MATH 499 : Directed Group Study Topics
Credits: 1 - 3
Provides academic departments an opportunity to offer courses in specialized or experimental areas, either lower or upper division, not listed in the undergraduate Bulletin. . May be repeated for a total of 3 credits.
Prerequisites
Approval by department chair