090 - Introduction to Algebra (3)
Offered as needed
Hours do not count toward a degree. This course is a support course designed to help students acquire the skill necessary for success in Intermediate Algebra. Topics include problem solving with whole numbers, fractions and decimals, ratio, proportion, percent, and integers and an introduction to algebra. Uses of calculators and computers are integrated into course content. The TI-83 plus or TI-84 plus graphing calculator is required. Students must register for the lab component (MATHL 090) simultaneously.
099 - Intermediate Algebra (3)
Prerequisite: Departmental placement or MATH 090 or its equivalent as determined by the department
Offered every semester
Hours do not count toward a degree. Topics include a review of the algebra of real numbers, solving equations and inequalities, graphing equations and inequalities, solving systems of equations, polynomials, rational expressions and equations. For most sections, students must register for the lab component (MATHL 099) simultaneously. The TI-83 plus or TI-84 plus graphing calculator is required.
105 - Liberal Arts Mathematics (3)
Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department
Offered every semester
Credit for this course will not be given to a student who is enrolled concurrently in MATH 112, MATH 113, MATH 121, MATH 122, MATH 131, or MATH 132. Registration is prohibited for students with previous credit in a higher-level course. This course is designed to increase an awareness of and an appreciation for mathematics as a mode of non-literary communication. The student will be introduced to topics selected from, but not limited to: algebra, geometry, calculators and computers, probability and statistics, the mathematics of social choice, management science, growth and symmetry, and the mathematics of finance. The TI-83 plus or TI-84 plus graphing calculator is required.
112 - College Algebra (3)
Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department
Offered every semester
This course uses a modeling approach. Problems that can be solve using linear, polynomial, rational, exponential and logarithmic functions are explored. An introduction to probability theory is included. The graphing calculator is an integral part of this course. The TI-83 plus or TI-84 plus graphing calculator is required. Note: Students with prior credit for MATH 131 and MATH 132 should take MATH 231 rather than MATH 112.
113 - Trigonometry (3)
Prerequisite: MATH 112 or its equivalent as determined by the department
Offered every semester
Topics include trigonometric functions and their inverses, identities, trigonometric equations, formulas, and solving triangles. The TI-83 plus or TI-84 plus graphing calculator is required.
121 - Foundations of Mathematics I (3)
Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department
Offered every semester
This course is particularly suitable for elementary education majors. Credit for this course will not be given to a student enrolled concurrently in MATH 131 or MATH 132, and registration is prohibited for students with MATH 131 or MATH 132 credit. Topics include: patterns and problem solving, numeration, operations on natural numbers, whole numbers and integers, number theory and fraction models and operations. Use of a scientific calculator is required. Use of a computer is expected for word processing and access to the Internet.
122 - Foundations of Mathematics II (3)
Prerequisite: MATH 121 with a grade of C or better
Offered every semester
This course is particularly suitable for elementary education majors. Topics include: rational numbers, real numbers, functions, measurement and geometry, and probability and statistics. Use of a scientific calculator is required. Use of a computer is expected for word processing and access to the Internet.
131 - Finite Mathematics (3)
Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department
Offered every semester
Registration prohibited for students with Math 200 credit. Review of linear equations and inequalities, introduction to linear programming, set theory, counting techniques, permutations and combinations, probability, and applications. The TI-83 plus or TI-84 plus graphing calculator is required.
132 - Business Statistics (3)
Prerequisite: MATH 131 or MATH 200 or its equivalent as determined by the department
Offered every semester
Credit for this course will not be given to a student who has previously completed MATH 305.Topics include collecting, organizing, analyzing and interpreting data with an emphasis on business applications, descriptive statistics, sampling, probability distributions, estimation, hypothesis testing, introduction to linear regression and correlation analysis. The use of Minitab statistical software is included. The TI-83 plus or TI-84 plus graphing calculator is required.
150 - Selected Topics in Elementary Mathematics (Credit Varies)
Prerequisite: See the department chairperson
200 - Introduction to Discrete Mathematics (4)
Prerequisite: Three years of high school mathematics and recommendation by the department or MATH 112
Offered every semester
Registration prohibited for students with Math 131 credit. Topics include number systems, set theory, logic, methods of proof, combinatorics, discrete probability, relations and functions, matrices, Boolean algebra, and recursion. The TI-89 graphing calculator is required.
201 - Calculus with Analytic Geometry I (4)
Prerequisite: Including trigonometry, three years of high school mathematics and recommendation by the department Offered every fall
MATH 112 and 113. Review of algebraic and trigonometric functions and their graphs, absolute value and inequalities; the concepts of limit and continuity; theory and techniques of differentiating and integrating algebraic and trigonometric functions, and applications of differentiation. Maple software is used throughout the course. The TI-89 graphing calculator is required.
202 - Calculus with Analytic Geometry II (4)
Prerequisite: MATH 201 or its equivalent.
Offered every spring
Topics include derivatives and integrals of transcendental functions; indeterminate forms, improper integrals, techniques and applications of integration; numerical integration, conic sections, parametric equations, and polar coordinates. Maple software is used throughout the course. The TI-89 graphing calculator is required.
203 - Calculus with Analytic Geometry III (4)
Prerequisite: MATH 202
Offered every fall
Topics include vectors and vector calculus, analytic geometry in three-space; differentiation of functions of several variables, multiple integration and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required.
211 - Linear Algebra (4)
Prerequisite: MATH 200 and MATH 202 or concurrent enrollment in MATH 202
Offered every spring
Elementary concepts of linear algebra; systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required.
221 - Number Theory for Teachers (3)
Prerequisite: MATH 121 and MATH 122 or consent of the instructor
Offered fall 2008
Provides historical overview of number theory. Topics investigated will include: modular systems, basic concepts of factorization and divisibility, algebraic structure of modular systems and remainder tests. Fibonacci numbers and proof by induction is also explored. The place of number theory in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Use of a scientific calculator is required.
222 - Statistics for Teachers (3)
Prerequisite: MATH 121 and MATH 122 or consent of instructor
Offered every semester
Provides a conceptual approach to statistics and its everyday use. Topics include probabilities, randomness, making and interpreting various types of graphs and tables, organization of data, displaying data, and analyzing and drawing implications from the data. The place in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Computers and calculators are integrated into the coursework. The TI-83 plus or TI-84 plus graphing calculator is required.
223 - History of Mathematics for Teachers (3)
Prerequisite: MATH 121 and MATH 122 or consent of instructor
Offered spring 2009
Credit for this course will not be given to a student who has previously completed M 308. Provides historical perspective of the development of mathematics with emphasis on the multicultural dimension in the Egyptian, Babylonian and Greek periods. Students will do some of the elementary mathematics developed in ancient times, and learn to appreciate mathematics as a product of human effort.
224 - Geometry for Teachers (3)
Prerequisite: MATH 121 and MATH 122 or consent of instructor
Offered spring 2008
Topics include: exploration of geometric ideas through activities involving concrete materials and computers, an awareness of geometry in the environment, and appreciation of geometry in history and culture, types of geometry, and experience in performing conjectures and testing hypotheses. Provides students with the ability to develop, teach, and implement a program in geometry in the middle school/junior high school curriculum in accordance with the NCTM Principles and Standards for School Mathematics.
231 - Calculus for Business and the Social Sciences (3)
Prerequisite: Departmental placement or MATH 132 or its equivalent
Offered spring 2008
Recommended for business and social science majors seeking the B.S. degree. Topics include functions; derivatives of algebraic, exponential and logarithmic functions; optimization; techniques of integration; various applications from business and the social sciences. The TI-83 plus or TI-84 plus graphing calculator is required.
250 - Selected Topics in Mathematics Education (Credit Varies)
Prerequisite: See the Department Chairperson
301 - Advanced Calculus (4)
Prerequisite: MATH 202
Offered every spring
Topics include convergence, sequences, indeterminate forms, improper integrals, infinite series, Taylor and Fourier Series, applications; functions defined by integrals, the gamma and beta functions. Maple software is used throughout the course. The TI-89 graphing calculator is required.
303 - Differential Equations (3)
Prerequisite: MATH 301 or concurrent enrollment in MATH 301 or consent of the instructor
Offered every spring
Differential equations of first order, second order, and higher order linear differential equations, non-homogeneous equations; power series solutions to linear differential equations, numerical methods for solving linear and nonlinear differential equations. Maple software is used throughout the course. The TI-89 graphing calculator is required.
305 - Probability and Statistics I (3)
Prerequisite: MATH 301
Offered every fall
Topics include concepts of probability, Bayes' Rule, expectation, discrete distributions, binomial, hypergeometric, Poisson, geometric, multinomial, normal, uniform, and exponential density functions and joint probability densities. The use of Minitab statistical software is included. The TI-89 graphing calculator is required.
306 - Probability and Statistics II (3)
Prerequisite: MATH 305
Offered every spring
A continuation of MATH 305 concerned with data description, sampling distributions, curve fitting, inferences dealing with means, variances, and proportions. The emphasis will be on applications. Time permitting, applications will be extended to areas such as reliability, life testing and quality assurance. The use of Minitab statistical software is included. The TI-89 graphing calculator is required.
307 - Modern Geometry (3)
Prerequisite: One year of high school geometry and completion of MATH 202 and ENGL 102
Offered every spring
Foundations of geometry as a mathematical system, elementary logic, advanced constructions, historical background and basic concepts of finite and infinite Euclidean and non-Euclidean geometries; cross ratio, affine and projective planes; the theorems of Ceva, Menelaus, Desargues, Pascal, and Pappus.
308 - History of Mathematics (3)
Prerequisite: MATH 202
Offered every fall
Credit for this course will not be given to a student who has previously completed MATH 223. Provides historical perspective of the development of mathematics with emphasis on the multicultural dimension from ancient to modern times. Students will do problems in the methods of the ancients and compare to modern solutions, and learn to appreciate mathematics as a product of human effort. Historical development of calculus and other modern mathematical areas will be studied.
309 - Abstract Algebra I (3)
Prerequisite: MATH 211
Offered every fall
Topics include: integers, groups, subgroups, cosets, homomorphisms, permutation groups, rings, subrings, integral domains, and fields.
315 - Numerical Analysis (3)
Prerequisite: MATH 301
Offered spring 2008
Topics include iterative solutions to non-linear equations, Newton-Raphson and secant methods, numerical solutions of ODEs, numerical integration methods, interpolation, and curve fitting. Maple software is used throughout the course. The TI-89 graphing calculator is required.
321 - Discrete Methods (3)
Prerequisite: MATH 200
Offered spring 2009
Topics may include some of the following: Euler and Hamilton circuits, graph coloring, matching theory, applied combinatorics, mathematical induction, equivalence relations and congruence classes, recurrence relations, generating functions, applications. Student presentations and lab projects (both group and individual) are an integral part of this course. The TI-89 or TI-83 plus graphing calculator is required.
331 - Theory of Interest (3)
Prerequisite: MATH 202
Offered as needed
Topics include compound interest, annuities, bonds, measurement of mortality, life annuities, life insurance, premiums, and reserves. A financial calculator is required for this course.
350 - Selected Advanced Topics in Mathematics Education (credit varies)
Prerequisite: See the Department Chairperson
351 - Methods in Middle School/Junior High School Mathematics (3)
Prerequisite: MATH 122 or consent of the instructor
Offered every spring
Integrated content and methods appropriate for the middle school mathematics program. Topics are selected from the real number system and its operations, probability, statistics, measurement, geometry and algebra. Research implications in these areas are considered for the middle grades. Calculators and computers are integrated throughout the course. Ten (10) clinical hours.
360 - Selected Topics in Advanced Mathematics (credit varies)
Prerequisite: See the Department Chairperson
Offered at least once each academic year
Possibilities include: real analysis; complex analysis; number theory; topology; transform methods; partial differential equations; integral equations, Abstract Algebra II; Differential Geometry.
375 - Methods of Teaching Mathematics, Grades 6-12 (3)
Prerequisite: At least 30 hours in the mathematics major
Offered every fall
Exposes both pre-service and in-service teachers to principles, current issues, materials and methods of teaching mathematics at the middle and secondary school level. Strong mathematical background expected. Classroom and field experiences are required. The NCTM Principles and Standards for School Mathematics are also addressed. Thirty (30) clinical hours.
390 - Internship (credit varies, 1-12 semester-hours)
Prerequisite: See the department chairperson
399 - Senior Seminar (1)
Prerequisite: Senior standing and consent of department faculty
Offered every semester
The purpose of the senior seminar is to provide a culminating experience in mathematics for mathematics and mathematics education majors. The student will conduct research on an advanced topic with guidance from a faculty mentor, prepare a paper, and give a presentation based on the research to faculty and students of the department. The student is expected to attend all presentations given during the semester.
( ) = credit hours / / = classroom hours
Saint Xavier University 2007-2008 Catalog
Please visit the SXU Web site for the most recent information.