Saint Xavier University Chicago Campus Residence Halls

Mathematics


Prerequisite/Corequisite Key

P = Course must be taken previously C = Course must be taken concurrently E = Course can be taken previously or concurrently
(RQ) = Required (RM) = Recommended  

MATH 095

Elementary Algebra

3 credit hours

This course is a support course designed to help students acquire the skills necessary for success in Intermediate Algebra and 100-level mathematics courses. Topics include a review of real numbers, problem solving, equations, inequalities, absolute value, graphing lines, functions and graphs, and systems of equations/inequalities. Uses of calculators and computers are integrated into the course content. The TI-83 plus or TI-84 plus graphing calculator is required. Hours do not count toward a degree.

MATH 099

Intermediate Algebra

3 credit hours

Pre-requisite: P (RQ) MATH-090 or MATH-095 departmental placement

This course is a support course designed to help students acquire the skills necessary for success in 100-level mathematics courses. Topics include exponents, polynomials, factoring, rational expressions, rational exponents/radicals, complex numbers, quadratic equations and functions, and exponential and logarithmic functions. Uses of calculators and computers are integrated into course content. The TI-83 plus or TI-84 plus graphing calculator is required. Hours do not count toward a degree.

MATH 105

Liberal Arts Mathematics

3 credit hours

Pre-requisite: P (RQ) MATH-095 or MATH-099 or placement

Course Types: GMATH

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. NOTE: Credit hours CANNOT be earned for this course if the student is concurrently enrolled or has previous credit for any mathematics course numbered above 105.

MATH 112

College Algebra

3 credit hours

Pre-requisite: P (RQ) MATH-099 or departmental placement

Course Types: GMATH

Topics for this course include a problem-solving approach to the study of polynomial, rational, exponential and logarithmic functions, graphs, models, complex numbers, and conic sections. The graphing calculator is an integral part of this course. The TI-83 plus or TI-84 plus graphing calculator is required.

MATH 113

Trigonometry

3 credit hours

Pre-requisite: E (RQ) MATH-112 with a grade of C or better

Course Types: GMATH

Topics for this course 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.

MATH 121

Mathematics Content for Elementary Teachers I

3 credit hours

Pre-requisite: P (RQ) MATH-095 or MATH-099 or departmental placement

Course Types: GMATH

This course explores the underlying structure and basis for the mathematics taught in elementary school. Topics include functions, patterns and problem solving, numeration, operations on natural numbers, whole numbers and integers, rational numbers, number theory, and fraction models and operations. The TI-83 plus or TI-84 plus graphing calculator is required. Offered fall.

MATH 122

Mathematics Content for Elementary Teachers II

3 credit hours

Pre-requisite: P (RQ) MATH-121 with a grade of C or better

Course Types: GMATH

This course explores the underlying structure and basis for the mathematics taught in elementary and middle school. Topics include rational and irrational numbers, real numbers, measurement, geometry and probability. The TI-83 plus or TI-84 plus graphing calculator is required. Offered spring.

MATH 131

Finite Mathematics

3 credit hours

Pre-requisite: P (RQ) MATH-099 or departmental placement

Course Types: GMATH

Topics for this course include review of linear equations and inequalities, mathematics of finance, introduction to linear programming, set theory, counting techniques, and permutations and combinations. The TI-83 plus or TI-84 plus graphing calculator is required. NOTE: Credit will not be granted for both MATH 131 and MATH 200.

MATH 135

Introduction to Statistics

4 credit hours

Pre-requisite: P (RQ) MATH-095 or MATH-099 or placement

Course Types: GMATH

Topics for this course include collecting, organizing, analyzing and interpreting data with emphasis on a wide range of applications, descriptive statistics, sampling, probability distributions, estimation, hypothesis testing, introduction to linear regression, and correlation analysis. Statistical software is used throughout the course. The TI-83 plus or TI-84 plus graphing calculator is required.

MATH 150

Special Topics: Geometry for Art and Design

3 credit hours

Pre-requisite: P (RQ) Math-095

Course Types: GMATH

This course will develop students' quantitative reasoning skills through exploration of geometric measurement, formulas and visualization in 2D and 3D. Topics include: representing mathematical information symbolically, visually, numerically, and verbally; interpreting mathematical models such as formulas and figures; drawing inferences; estimating problems for reasonableness, finding patterns, proving generalizations. Work of relevant artists will be used to make connections with geometric concepts. Technology tools used: dynamic geometry and vector graphic software, 3D printer, laser cutter. Offered fall.

MATH 200

Introduction to Discrete Mathematics

3 credit hours

Pre-requisite: P (RQ) MATH-112 with a grade of C or better or placement

Course Types: GMATH

Topics for this course include number systems, set theory, logic, methods of proof, combinatorics, relations and functions, algorithms, recursion, and the Fibonacci sequence. The TI-89 graphing calculator is required.

MATH 201

Calculus with Analytic Geometry I

4 credit hours

Pre-requisite: P (RQ) MATH-113 with a grade of C or better or department placement and C: MATHL-201 (RQ)

Course Types: GMATH

Topics for this course include 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.

MATHL 201

Calculus Lab

0 credit hours

Pre-requisite: E (RQ) MATH-201

MATH 202

Calculus with Analytic Geometry II

4 credit hours

Pre-requisite: P (RQ) MATH-201 with a grade of C or better and E: MATHL-202 (RQ)

Topics for this course 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. Offered spring.

MATHL 202

Calculus Lab

0 credit hours

Pre-requisite: E (RQ) MATH-202

MATH 203

Calculus with Analytic Geometry III

4 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better

Topics for this course 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. Offered fall.

MATH 211

Linear Algebra

4 credit hours

Pre-requisite: P (RQ) MATH-200 with a grade of C or better and C: MATH-202 (RQ)

This course includes 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. Offered spring.

MATH 221

Number Theory for Teachers

3 credit hours

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

Topics investigated include properties, algebraic structure, arithmetic operations, and identities and inverses of operations on various number sets in clock and modular systems; basic concepts and properties of primality, factorization, divisibility, least common multiples and greatest common integers; drawing mathematical inferences; and writing mathematical arguments. Use of a scientific calculator is required. Offered spring odd years.

MATH 222

Statistics for Teachers

3 credit hours

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

This course 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.

MATH 223

History of Mathematics for Teachers

3 credit hours

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

This course 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. Offered Fall of odd years NOTE: Credit for this course will not be given to a student who has previously completed MATH 308.

MATH 224

Geometry for Teachers

3 credit hours

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

Topics for this course 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. Offered fall even years.

MATH 225

Mathematical Modeling for Teachers

1 credit hour

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

Topics for this course include domain, range, horizontal and vertical asymptotes, use of mathematical linear, polynomial, rational, exponential and logarithmic models, including regression models, to solve problems and the interrelationships between such functions (intersection points, inverse functions, etc.). Offered spring as needed.

MATH 226

Mathematical Modeling and Calculus for Teachers

4 credit hours

Pre-requisite: P (RQ) MATH-122 with a grade of C or better

Topics for this course include domain, range, horizontal and vertical asymptotes, use of mathematical linear, polynomial, rational, exponential and logarithmic models, including regression models, to solve problems and the interrelationships between such functions (intersection points, inverse functions, etc.). Topics also include the concept of continuity as well as concepts, properties, computational processes and applications associated with limits, rates of change, secant and tangent lines, and derivatives and integrals from a polynomial perspective. Offered spring even years.

MATH 231

Calculus for Business and the Social Sciences

3 credit hours

This course is 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. Offered as needed.

MATH 301

Advanced Calculus

4 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better

Topics for this course 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. Offered spring.

MATH 303

Differential Equations

3 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better and C: MATH-301 (RQ)

Topics for this course include: 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. Offered spring.

MATH 305

Probability and Statistics I

3 credit hours

Pre-requisite: P (RQ) MATH-301 with a grade of C or better

Topics for this course include: exploratory data analysis, geographical techniques, measures of central tendency and variability, concepts of probability, Bayes' Rule, Expected Value, discrete distributions, continuous distributions, moment generating functions, and joint probability densities. The use of Minitab statistical software is included. The TI-89 graphing calculator is required. Offered fall.

MATH 306

Probability and Statistics II

3 credit hours

Pre-requisite: P (RQ) MATH-305 with a grade of C or better

This course is a continuation of MATH 305 concerned with sampling distributions, confidence intervals and hypothesis testing (one sample, two sample, means, proportions, variances, chi-square), linear regression and correlation, with an emphasis on both theory and applications. The use of Minitab statistical software is included. The TI-89 graphing calculator is required. Offered spring.

MATH 307

Modern Geometry

3 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better, ENGL-120

Topics for this course include: the 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. Offered every third semester starting spring 2017.

MATH 308

History of Mathematics

3 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better ENGL-120

This course 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. Offered every third semester starting fall 2017. NOTE: Credit for this course will not be given to a student who has previously completed MATH 223.

MATH 309

Abstract Algebra I

3 credit hours

Pre-requisite: P (RQ) MATH-211 with a grade of C or better

Topics for this course include: integers, groups, subgroups, cosets, homomorphisms, permutation groups, rings, subrings, integral domains and fields. Offered every third semester starting spring 2018.

MATH 313

Partial Differential Equations

3 credit hours

Pre-requisite: P (RQ) MATH-203 with a grade of C or better MATH-303 with a grade of C or better

Topics for this course include: Partial differential equations of first order and second order, heat equations, wave equations, Laplace equations in one and in higher dimensions, homogeneous and inhomogeneous cases, and applications. Offered as needed.

MATH 314

Integral Equations

3 credit hours

Pre-requisite: P (RQ) MATH-202 with a grade of C or better

Topics for this course include: Fredholm integral equations, Volterra integral equations, Integro-differential equations, Singular integral equations, First and second kind integrals. Offered as needed.

MATH 315

Numerical Analysis

3 credit hours

Pre-requisite: P (RQ) MATH 202 with a grade of C or better

Topics for this course 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. Offered as needed.

MATH 321

Discrete Methods

3 credit hours

Pre-requisite: P (RQ) Math 200 with a grade of C or better

Topics for this course 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 and 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. Offered as needed.

MATH 331

Theory of Interest

3 credit hours

Topics for this course include: compound interest, annuities, bonds, measurement of mortality, life annuities, life insurance, premiums and reserves. A financial calculator is required for this course. Offered as needed.

MATH 336

Real Analysis

3 credit hours

Pre-requisite: P (RQ) MATH-301 with a grade of C or better

This course is intended to deepen and broaden students' knowledge of the theory of calculus. Topics for this course include: properties of real numbers, sequences and series, continuity, differentiation , integration, metric spaces and topology.

MATH 350

Selected Advanced Topics in Mathematics Education

1 to 3 credit hours

Courses offered on an occasional basis devoted to select advanced mathematical education topics. Offered as needed.

MATH 351

Methods of Teaching Middle Level (Grades 5-8) Mathematics

3 credit hours

Focal points include principles, standards, current issues, implications of research, and resources and instructional methods related to the teaching and learning of middle level (grades 5-8) mathematics. Offered fall.

MATH 360

Selected Topics in Advanced Mathematics

1 to 3 credit hours

Possibilities include: real analysis; complex analysis; number theory; topology; transform methods; partial differential equations; integral equations, Abstract Algebra II; Differential Geometry. Prerequisite: See the department chairperson. Offered at least once each academic year.

MATH 375

Methods of Teaching Mathematics, Grades 9-12

3 credit hours

Pre-requisite: P (RQ) At least 30 hours in the mathematics major

Focal points include: principles, standards, current issues, implications of research, and resources and instructional methods related to the teaching and learning of secondary (grades 9-12) mathematics. 30 clinical hours. Offered fall.

MATHL 375

Secondary Mathematics edTPA Workshop

0 credit hours

Pre-requisite: C (RQ) MATH-375

Students will complete activities for Task 1 Planning for Mathematics Instruction and Assessment, Task 2 Instructing and Engaging Students in Learning, and Task 3 Assessing Student Learning. Topics include: lesson planning for a learning segment, development of assessments, analysis of mathematical language and facilitation of conceptual understanding, procedural fluency, mathematical reasoning and problem-solving skills in the mathematics classroom. Offered fall.

MATH 390

Internship

1 to 12 credit hours

For students who perform internships and/or present an off-campus experience judged by the faculty advisor and department chair to be of significant value in mathematical studies. Offered as needed.

MATH 399

Senior Seminar

1 credit hour

Pre-requisite: P (RQ) Senior standing and departmental consent

The purpose of the Senior Seminar is to provide a culminating experience in mathematics for Mathematics majors, Actuarial Science majors, and Mathematics with Secondary Education majors. The student will conduct research on an advanced topic with guidance from a faculty mentor, prepare a paper, prepare a poster 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.