DEPARTMENT OF MATHEMATICS
 
 
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COMPUTER SCIENCE (CPSC)

2511-2521 (MATH/STAT 2511-2521). Seminar -Foundations of theoretical mathematics and computer science. Introduction to proofs from: mathematical logic, set theory, relations and functions, Boolean algebra, and switching circuits. Students will be expected to present independent written work to the class orally for criticism and discussion. Meets twice per week. Prerequisites: Grade of 'C' or better in MATH 1070 and PHIL 1040 and grade of "C" or better in CPSC 2511 (for CPSC 2521). (2-2)
 

3040. (MATH 3040) Numerical Analysis -Methods of numerical computation emphasizing solutions via the digital computer. Prerequisites: Grade of "C" or better in MATH 2080 and a working knowledge of some programming language. Corequisite: MATH 2530. (3)

MATHEMATICS (MATH)

0960DV. Pre-Algebra Review -Offered each semester. Review of single operations on integers, fractions and decimals; exponentials; simple factorizations; linear equations; geometric problems involving area and perimeter of basic figures. This course may be required for those students whose math score on the SAT or ACT or the Xavier Mathematics Placement Test is below the acceptable level. Upon completion, the student must enroll in MATH 0981DV. (Non-Degree Credit) (3)

0981DV. Algebra Review -Offered each semester. Review of high school algebra. Operations with algebraic expressions and fractions; factoring; exponentials and radicals; solving equations and inequalities; graphing; basic analytic geometry. This courses may be required for those students whose math score on the SAT or ACT or the Xavier Mathematics Placement Test is below the acceptable level. Also, students placed in MATH 0960DV must complete that course before entering this course. (Non-Degree Credit) (4)

1010. Principles of Modern Mathematics -Offered each semester. Survey of mathematics: topics in college algebra for non-technical majors. Prerequisite: Completion of all developmental mathematics deficiencies. (3)

1015 - College Algebra for Elementary Education Majors - Offered every semester. Algebra of elementary functions and relations to their graphs. Applications and the use of technology are incorporated in this course. Prerequisite: Completion of all developmental mathematics deficiencies. (3)

1020.* (STAT 2010) - Statistical Methods I) Basic Statistics I -Offered each semester. Descriptive statistics, probability and statistical inference. Prerequisite: Completion of all developmental mathematics deficiencies. (3)

*Students may not receive credit for both MATH 1020 ( STAT 2010) and ECON 2070.

1030. Pre-Calculus -Offered each semester. Unified college algebra and trigonometry. Elementary functions and relations with their graphs. Prerequisite: Completion of all developmental mathematics deficiencies. (4)

1070. Introductory Calculus - Offered each semester. The derivative and integral with their principal interpretations and interrelationships; simple techniques of differentiation and integration; numerical integration; applications of differentiation and integration. The use of technology is integrated in this course. Prerequisite: Grade of "C" or better in MATH 1030 or advanced placement by test score or permission of chairperson. (4)

1070HN. Introductory Calculus -Offered fall semester. Open to selected students only. Students must complete all work in MATH 1070 concurrently and participate in 10 additional meetings in the semester. Prerequisite: Grade of "A" in MATH 1030 or advanced placement by test score or permission of chairperson. (4)

2015 - Geometry for Elementary Education Majors - Understanding and applying geometric relationships and problem solving in to and three dimensions. Prerequisite: MATH 1015. (3)

2025 - Finite Mathematics for Elementary Education Majors - Elementary sets and operations, introduction to combinatorics, elementary graph theory, solving systems of linear equations, introduction to matrices, linear programming, and applications. Prerequisite: MATH 1015. (3)

2030. Elementary Linear Algebra -Offered each semester. Systems of equations, matrices, determinants, vector spaces, eigenvalues, linear mappings, etc. Corequisite: MATH 1070. Prerequisite: Grade of "C" or higher in MATH 1030. MATH 2511 & 2521 ARE STRONGLY RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)

2040. (STAT 2020 - Statistical Methods II) Basic Statistics II -Offered spring semester. Hypothesis testing of population means, proportions, etc. Contingency tables, goodness-of-fit, analysis of variance, nonparametric statistics. Introduction of computer packages to analyze data. Prerequisite: Grade of "C" or higher in MATH 1020 (or STAT 2010 ) or ECON 2070. (3)

2050. Discrete Mathematics -Offered each semester. Elementary counting principles, algebraic counting techniques and generating functions, topics in graph theory, topics in coding theory. Corequisite: MATH 1070. Prerequisite: Grade of "C" or higher in MATH 1030. MATH 2511 & 2521 ARE STRONGLY RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)

2070. Calculus II. Offered each semester. Continuation of techniques of integration; applications; improper integrals; infinite series. Topics in analytic geometry; polar coordinates and parametric equations. The use of technology is integrated in this course. Prerequisite: Grade of "C" or better in MATH 1070. (4)

2070HN. Calculus II -Offered spring semester. Open to selected students only. Students must complete all work in MATH 2070 concurrently and participate in 10 additional meetings in the semester. Prerequisite: Grade of "A" in MATH 1070 or advanced placement by test score or permission of chairperson. (4)

2080. Calculus III. Offered each semester. Geometry of three dimensions; real-valued functions of several variables; partial differentiation; multiple integration. Vector analysis; line integrals and surface integrals. The use of technology is integrated in this course. Prerequisite: Grade of "C" or better in MATH 2070. (4)

2150LB (STAT 2150LB) Statistics Technology Lab - Offered every spring semester. Problem-solving in statistics using appropriate statistical software. Prerequisite: Grade of "C" or higher in STAT 2010 (MATH 1020) or ECON 2070. (1)

2160LB Mathematics Technology Lab - Offered every spring semester. Solution of complex mathematical problems using appropriate computer software. Prerequisite: Grade of "C" or higher in MATH 1070 (1)

2511. (CPSC/STAT 2511) Seminar I - Offered every semester. Basic foundations of theoretical mathematics and computer science. Introduction to proofs from mathematical logic and set theory. Students will be expected to present independent written work to the class for criticism and discussion. Meets twice per week. Prerequisites: Grade of "C" or higher in MATH 1070 and PHIL 2040. (2)

2521. (CPSC/STAT 2521) Seminar II - Offered every semester. Foundations of mathematics and computer science. Introduction to proofs from relations and functions and Boolean algebra. Students will be expected to present independent written work to the class for criticism and discussion. Meets twice per week. Prerequisites: Grade of "C" or higher in 2511. (2)

2530. Differential Equations -Offered each semester. Usual methods of solving ordinary differential equations; introduction to the general theory. Prerequisite: Grade of "C" or higher in MATH 2070. (3)

3010 (STAT 3010) Biostatistics -Applications of descriptive and inferential statistics to health science disciplines. Introduction of specialized techniques used in biomedical sciences. Prerequisites: Grade "C" or better in STAT 2020 or MATH 2040 or ECON 2070 or permission of the instructor. (3)

3040. (CPSC 3040) Numerical Analysis - Methods of numerical computation. Error analysis, solutions of equations, interpolation and polynomial approximation, least squares approximation, numerical differentiation and integration, numerical solution to differential equations.. Corequisite: MATH 2530. Prerequisites: Grade of "C" or better in MATH 2080 and working knowledge of some programming language (3)

3051. (STAT 3051) Mathematical Probability and Statistics I - Offered fall semester. Introduction to concepts of probability and random variables. Discrete and continuous distributions with applications. Algebra of expectations. Covariance and correlation of two random variables. Corequisite: MATH 2080. MATH 2511 & 2521 ARE STRONGLY RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)

3061. (STAT 3061) Mathematical Probability and Statistics II - Offered spring semester. Purpose and nature of sampling, particularly from normal populations. Chi-square, t, and F distributions. Formulating and testing statistical hypotheses, point and interval estimation. Prerequisite: Grade of "C" or higher in MATH 3051 (or STAT 3051). (3)

3110. Applied Mathematics -Offered spring semester. Applications of different topics in mathematics with emphasis on modeling techniques. Prerequisites: Grade of "C" or higher in MATH 2030 and MATH 2530. MATH 2511 & 2521 ARE STRONGLY RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)

3750. Complex Variables and Applications --Offered every other spring semester. Theory and application of complex numbers, complex mappings, analytic and holomorphic functions. Prerequisite: MATH 2080 with a grade of "C" or better. (3)

4010. Modern Geometry -Elementary foundations of geometry from a rigorous point of view, concepts in advanced Euclidean, projective, and non-Euclidean geometry. Prerequisites: Grade of "C" or higher in MATH 2070 and MATH 2521 or permission of instructor. (3)

4030. History of Mathematics - A general survey of the main trends in the development of mathematics from ancient times to the present. The cultural and social contexts of mathematical activity will be studied along with the classic problems. Prerequisites: Grade of "C" or higher in MATH 2080 and MATH 4010. (3)

4050. Advanced Calculus I - Offered every fall semester. Real number system; Sequences -- their limit, Bolzano-Weistrass Theorem; Limits of functions; Continuous functions, uniform continuity. Prerequisites: Grade of "C" or higher in MATH 2080 and MATH 2521 or permission of instructor. (3)

4060. Advanced Calculus II - Offered every spring semester. Differentiation, Riemann-Stieltjes integration; Sequences of functions -- uniform convergence, Infinite series. Prerequisites: Grade of "C" or higher in MATH 4050 or permission of instructor. (3)

4070. Introduction to Topology -Offered every other spring semester. Topology of the line and plane; abstract topological spaces; continuous functions on topological spaces; metric and normed spaces; separation axioms; compactness; product spaces. Prerequisite: MATH 4050 with a grade of "C" or better or permission of the instructor. (3)

4090. Modern Algebra I - Offered every fall semester. Algebraic structures and introduction to groups and rings. Meets thrice per week. Prerequisites: Grade of "C" or higher in MATH 2080 and MATH 2521 or permission of instructor. (3)

4100. Modern Algebra II - Offered every spring semester. Continuation of ring theory, fields, vector spaces and modules. Prerequisites: Grade of "C" or higher in MATH 4090 or permission of instructor. (3)

4201, 4202, 4203. Special Topics -Topics may vary from semester to semester. May be repeated for credit when the topic changes. Prerequisites: Permission of the instructor. (1, 2, 3)

4511-4521. (STAT 4511-4521) Colloquium -Offered each semester. Topic determined each semester by faculty. Independent work by students under the guidance of a faculty member to be presented orally and in writing to student majors and faculty. Meets once per week. Prerequisites: A grade of "C" or higher in all MATH or STAT required courses at the 2000-level and junior or senior status. 4511 is prerequisite to 4521. (1-1)

4997 Mathematics Drill I - Offered every semester. Advanced topics from the GRE Mathematics Subject Test. Focus will be synthesis type problems from basic mathematics courses. Prerequisite: Grade of "C" or higher in each of MATH 2080 and MATH 2530. (0)

MATH 4998 Mathematics Drill II - Offered every semester. Advanced topics from the GRE Mathematics Subject Test. Focus will be synthesis type problems from basic mathematics courses. Prerequisite: Grade of "C" or higher in MATH 2030, MATH 2050 and MATH 2521. (0)

4999. Senior Comprehensives -(0)

STATISTICS (STAT)

2010.* (MATH 1020 - Basic Statistics I) Statistical Methods I -Offered each semester. Descriptive statistics, probability and statistical inference. Prerequisite: Completion of all developmental mathematics deficiencies. (3)

*Students may not receive credit for both STAT 2010 (MATH 1020) and ECON 2070.

2020 (MATH 2040 - Basic Statistics II) Statistical Methods II -Offered spring semester. Hypothesis testing of population means, proportions, etc. Contingency tables, goodness-of-fit, analysis of variance, nonparametric statistics. Introduction of computer packages to analyze data. Prerequisite: Grade of "C" or higher in STAT 2010 (or MATH 1020) or ECON 2070. (3)

2150LB (MATH 2150LB) Statistics Technology Lab - Offered every spring semester. Problem-solving in statistics using appropriate statistical software. Prerequisite: Grade of "C" or higher in STAT 2010 (MATH 1020) or ECON 2070. (1)

2511-2521 (CPSC/MATH 2511-2521) Seminar -2511 offered fall semester; 2521 offered spring semester. Foundations of theoretical mathematics and computer science. Introduction to proofs from: mathematical logic, set theory, relations and functions, Boolean algebra, and switching circuits. Students will be expected to present independent written work to the class orally for criticism and discussion. Meets twice per week. Prerequisites: Grade of "C" or higher in MATH 1070 and PHIL 2040. Also 2511 is prerequisite to 2521. (2-2)

3010 (MATH 3010) Biostatistics -Applications of descriptive and inferential statistics to health science disciplines. Introduction of specialized techniques used in biomedical sciences. Prerequisites: Grade "C" or better in STAT 2020 or MATH 2040 or ECON 2070 or permission of the instructor. (3)

3051. (MATH 3051) Mathematical Probability and Statistics I -Offered fall semester. Introduction to concepts of probability and random variables. Discrete and continuous distribution with applications. Algebra of expectations. Covariance and correlation in two random variables. Corequisite: MATH 2080. (3)

3061. (MATH 3061) Mathematical Probability and Statistics II - Offered spring semester. Purpose and nature of sampling, particularly from normal populations. Chi-square, t, and F distributions. Formulating and testing statistical hypotheses, point and interval estimation. Prerequisite: Grade of "C" or higher in STAT 3051 (or MATH 3051) or permission of instructor. (3)

4201, 4202, 4203. Special Topics -- Topics may vary from semester to semester. May be repeated for credit when the topic changes. Prerequisites: Permission of the instructor. (1, 2, 3)

4511-4521. (MATH 4511-4521) Colloquium -Offered each semester. Topic determined each semester by faculty. Independent work by students under the guidance of a faculty member to be presented orally and in writing to student majors and faculty. Meets once per week. Prerequisites: A grade of "C" or higher in all MATH or STAT required courses at the 2000-level and junior or senior status. 4511 is prerequisite to 4521. (1-1)

4999 Senior Comprehensives (0)

 
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