Southwestern Adventist University

Undergraduate Bulletin 2017-2018 PDF

Courses

MATH 013 - Algebra

3 hours

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 must be taken with a lab concurrently.  This course does not apply toward general education or graduation requirements.  (Fall, Spring)

MATH 110 - College Algebra

3 hours

Prerequisite:  SAT mathematics score of at least 500 or an ACT mathematics score of at least 21 or MATH 013 with a C– or higher or permission of the department

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, exponential and logarithmic functions and applications, and systems of linear equations and their solutions including matrix methods and determinants. (Fall, Spring)

MATH 121 - Precalculus

3 hours

Prerequisite: SAT mathematics score of at least 500 or an ACT mathematics score of at least 21 and a high school Algebra II with a grade of at least a B or MATH 110 with a C– or higher or permission of the department

A review of basic properties of functions including their domain, range, graphs, and relationship to their inverse functions. 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. (Fall, Spring)

MATH 131 - Applied Mathematics

3 hours

Prerequisite: SAT mathematics score of at least 500 or an ACT mathematics score of at least 21 or MATH 013 with a C- or higher or permission of the department.

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. (Spring)

MATH 181 - Calculus I

4 hours

Prerequisite: MATH 121 with a grade of C– or higher, or a high school precalculus course and permission of the instructor

A study of algebraic and transcendental functions of one variable, limits, continuity, differentiation, integration, and applications of derivatives and integrals. (Spring)

MATH 201 - Research Methods in Mathematics

1 hour

Prerequisite: ENGL 121, MATH 181

An introduction to the library research skills used in mathematics. The use of primary and secondary sources will be discussed as well as publication styles. Students will be exposed to the mathematical software used in mathematics research, and will engage in activities to sharpen critical thinking. In this course, majors in mathematics begin the process of senior portfolio development.  (Spring)

MATH 241 - Introduction to Probability and Statistics

3 hours

Prerequisite: SAT mathematics score of at least 500 or an ACT mathematics score of at least 21 and a high school Algebra II with a grade of at least a B or MATH 110 with a C– or higher or permission of the department

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, Χ2 distribution, analysis of variance, correlation, and linear regression. (Fall, Spring)

MATH 282 - Calculus II

4 hours

Prerequisite: MATH 181 with a grade of C– or higher

A study of the calculus of transcendental functions, introduction to differential equations, applications of integration, techniques of integration, and infinite series. (Fall)

MATH 283 - Calculus III

4 hours

Prerequisite: MATH 282 with a grade of C– or higher

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. (Spring)

MATH 291 - Selected Topics

1 hour

Prerequisite: Approval by the department chair

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.

MATH 311 - Set Theory and Logic

3 hours

Prerequisites: Math 181 with a grade of C- or higher.

An introduction to mathematical proofs, elementary logic, sets, equivalence relations, and functions.  The emphasis is on understanding and writing of proofs.  (Fall)

MATH 321 - Differential Equations

3 hours

Prerequisite: MATH 283

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. (Fall, even years)

MATH 341 - Geometry

3 hours

Prerequisite: MATH 282

This course is a study of Euclidean and non-Euclidean geometry. (Spring, even years)

MATH 361 - Introduction to Linear Algebra

3 hours

Prerequisite or corequisite: MATH 283

An introduction to vector spaces and matrix theory over the field of real numbers. (Spring, odd years)

MATH 371 - History of Mathematics

3 hours

Prerequisite: MATH 283 and MATH 311.

A survey of the development of classical mathematics from ancient times to calculus, together with selected topics from the history of modern mathematics.  (Fall, odd years) (Spring odd years)

MATH 381 - Complex Variables

3 hours

Prerequisite: MATH 283

This course is a study of analytic functions, power series, calculus of residues, and conformal mappings. (Spring, odd years)

MATH 411 - Numerical Analysis with Application

3 hours

Prerequisite: MATH 283 and knowledge of a computer programming language

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. (Spring, even years)

MATH 431 - Modern Algebra

3 hours

Prerequisite: MATH 361

A study of the abstract systems: groups, rings, fields, and integral domains. (Fall, odd years)

MATH 455 - Probability Theory

3 hours

Prerequisite: MATH 282

A study of the basic ideas of probability theory, discrete and continuous random variables, and their distributions. (Fall, odd years)

MATH 461 - Number Theory

3 hours

Prerequisite: MATH 282

A study of topics including Diophantine equations, congruences, prime numbers, and applications. Emphasis is placed on proving theorems. (Fall, even years)

MATH 471 - Advanced Calculus

3 hours

Prerequisite: MATH 283

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. (Spring, odd years)

MATH 485 - Portfolio

1 hour

This course fulfills the requirement for a capstone/portfolio completion course.  (Spring)

MATH 491 - Selected Topics

1-3 hours

Prerequisite: Approval by the department chair

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.

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