Mathematics
Faculty
Sita Ramamurti, Associate Professor of Mathematics (Program Chair)
Lee Chiang, Associate Professor of Mathematics
Kerry Luse, Clare Boothe Luce Assistant Professor of Mathematics
Description
The study of mathematics is an integral part of a liberal arts education. All students need to develop critical skills in problem solving and analytical thinking. The Mathematics Program at Trinity serves the community at large and offers mathematics students many opportunities to explore both inside and outside the classroom.
The mathematics major enables students to build a solid theoretical and technical foundation and to develop an appreciation of the nature of mathematics in the liberal arts tradition. Students gain technological expertise through the use of mathematical/statistical software packages and computer languages. As seniors, majors work on individual projects and communicate their work both through speaking and writing.
Mathematics students are involved in many activities outside the classroom such as serving as mentors and tutors to students in introductory courses.
Women in Math, Science and Engineering (WMSE) is an organization for students pursuing majors in math, science or in applications of these areas. The goal of WMSE is to expose students to available career opportunities, and to inform about summer programs, internships, and graduate programs. The club sponsors talks with professional scientists employed in a variety of academic and nonacademic settings and arranges trips to technical companies and industrial/governmental firms.
The Mathematics Program supports a major in mathematics and minors in mathematics and applied statistics in the College of Arts and Sciences. The major prepares students for graduate school and professional positions in government, business, and industry. Majors may adopt a theoretical or applied focus through their selection of electives ranging from number theory and history of mathematics to mathematical modeling and differential equations.
Major Requirements
To earn the bachelor's degree in mathematics, students must complete 52 credits distributed among required courses and supplemental requirements. MATH 431 Real Analysis I
MATH 431 Real Analysis I
Presents the basic concepts of analysis, including sets and functions, the real numbers, the topology of Euclidean spaces, compact and connected sets, continuity and uniform continuity, convergence and uniform convergence, and the Riemann integral. Formerly MAT 421 Real Analysis I.
3 credits
Prerequisites: MATH 331
Real Analysis I is strongly recommended for students who plan to attend graduate school.
Required Courses (32 credits)
ALL of the following mathematics courses:
MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
MATH 225 Calculus and Analytic Geometry II
MATH 225 Calculus and Analytic Geometry II
Examines the following topics: applications of the definite integral, integration of algebraic and transcendental functions, infinite series, and topics in analytic geometry. Formerly MAT 126 Calculus and Analytic Geometry II.
4 credits
Prerequisite: MATH 125
MATH 301 Linear Algebra
MATH 301 Linear Algebra
Develops methods of solutions of systems of linear equations, the theory of matrices, determinants, vector spaces, linear transformations, and eigenvalues. Formerly MAT 247 Linear Algebra.
4 credits
Prerequisites: MATH 225 (may be taken concurrently)
MATH 325 Multi-Variable Calculus
MATH 325 Multi-Variable Calculus
Examines the calculus of functions of several variables. Topics include partial derivatives, multiple integrals, and the calculus of vector fields, including Green's Theorem.
Formerly MAT 227 Multi-Variable Calculus.
4 credits
Prerequisites: MATH 225 with a grade of ""C"" or better
MATH 331 Introduction to Abstract Mathematics
MATH 331 Introduction to Abstract Mathematics
Provides a transition from the skills courses in mathematics to the more abstract courses for the mathematics major. Students will be exposed to the research tools in mathematics. Proof as a concept and a process will be examined in light of previous content in calculus, geometry, and algebra. Formerly MAT 245 Introduction to Abstract Mathematics.
3 credits
Prerequisites: MATH 225
MATH 315 Mathematical Probability and Statistics
MATH 315 Mathematical Probability and Statistics
Provides a calculus-based analysis of probability and statistics. Topics include probability, random variables, probability distributions, sampling distributions, and the central limit theorem. Formerly MAT 335 Mathematical Probability and Statistics.
MATH 403 Abstract Algebra I
MATH 403 Abstract Algebra I
Introduces the basic concepts of abstract algebra, including groups, subgroups, factor groups, homomorphism and isomorphism, and rings and fields. Formerly MAT 301 Abstract Algebra I.
3 credits
Prerequisites: MATH 301 and MATH 331
MATH 499 Senior Seminar in Mathematics
MATH 499 Senior Seminar in Mathematics
Provides a capstone experience required of all senior mathematics majors. Each student completes a comprehensive project that involves researching an area of mathematics not studied in formal course work. Through the project the student must demonstrate the ability to read and write mathematics, and as a culmination of the experience, students present their work in a formal lecture. Formerly MAT 490 Mathematics Senior Seminar.
3 credits
Prerequisites: Senior Status
CMSC 111 Introduction to Programming
CMSC 111 Introduction to Programming
Serves as an entry-level programming course recommended for all students. Objects, arrays, program flow (if-then-else, while, do-while, for, switch), simple graphical user interfaces and applets, problem solving techniques, and elementary algorithms are covered. Effective design, implementation, debugging, and documentation of object-oriented programs are emphasized. Formerly MAT 141 Introduction to Programming.
Supplemental Requirements (20 credits)
BOTH of the following physics courses:
PHYS 111 General Physics I
PHYS 111 General Physics I
Covers mechanics in a calculus-based course in fundamental physics. Topics include Newton's laws, work and energy, rotational dynamics, conservation of energy, and momentum. Intended primarily for students in math and science but open to all qualified students. The course consists of three hours of lecture, three of laboratory, and a one-hour problem session per week. There is an additional laboratory fee for this course. Formerly PHY 115 General Physics I.
4 credits
Prerequisite: MATH 125
General Education Requirement: Kniowledge and Inquiry Area
FLC Area IV, Laboratory Science Cluster
PHYS 112 General Physics II
PHYS 112 General Physics II
Covers electricity, magnetism, and electro-magnetic propagation in a calculus-based course in fundamental physics. Topics include electric fields, Maxwell's equations, electrical circuits, magnetic fields, and light. Intended primarily for students in math and science but open to all qualified students. The course consists of three hours of lecture, three of laboratory, and a one-hour problem session per week. There is an additional laboratory fee for this course. Formerly PHY 116 General Physics II.
4 credits
Prerequisites: MATH 125 and PHYS 111
ONE course chosen from between the following:
MATH 431 Real Analysis I
MATH 431 Real Analysis I
Presents the basic concepts of analysis, including sets and functions, the real numbers, the topology of Euclidean spaces, compact and connected sets, continuity and uniform continuity, convergence and uniform convergence, and the Riemann integral. Formerly MAT 421 Real Analysis I.
3 credits
Prerequisites: MATH 331
MATH 437 Complex Variables
MATH 437 Complex Variables
Examines the theory of functions of a complex variable. The course includes the complex number system and the theory of differentiation and integration of complex functions through the residue theorem. Formerly MAT 424 Complex Variables.
ONE additional course at the 200-level or above
TWO additional courses at the 300-level or above
Minor Requirements
Minor in Mathematics:
Required Courses (23 credits)
ALL of the following courses:
MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
MATH 225 Calculus and Analytic Geometry II
MATH 225 Calculus and Analytic Geometry II
Examines the following topics: applications of the definite integral, integration of algebraic and transcendental functions, infinite series, and topics in analytic geometry. Formerly MAT 126 Calculus and Analytic Geometry II.
4 credits
Prerequisite: MATH 125
MATH 331 Introduction to Abstract Mathematics
MATH 331 Introduction to Abstract Mathematics
Provides a transition from the skills courses in mathematics to the more abstract courses for the mathematics major. Students will be exposed to the research tools in mathematics. Proof as a concept and a process will be examined in light of previous content in calculus, geometry, and algebra. Formerly MAT 245 Introduction to Abstract Mathematics.
3 credits
Prerequisites: MATH 225
TWO additional courses at the 200-level or above
TWO additional courses at the 300-level or above
Minor in Applied Statistics:
Required Courses (19 credits)
ALL of the following courses:
MATH 110 Introduction to Statistics
MATH 110 Introduction to Statistics
Presents the basic principles of statistics with applications to the social sciences. Topics include descriptive statistics, probability theory, normal and binomial distributions, and central limit theorem, with an introduction to the use of statistical software. Formerly MAT 110 Introduction to Statistics.
3 credits
General Education: Knowledge and Inquiry Area
Prerequisites: MATH 108, MATH 109 or higher level mathematics course
MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
MATH 210 Statistical Inference
MATH 210 Statistical Inference
Applies the principles of inference to the social sciences. Topics include confidence intervals, inference for distributions, one and two-sample t-test, z-test, F-test, chi-square test, linear regression analysis and comparing two proportions. Use of statistical software is an integral part of the course. Formerly MAT 210 Statistical Inference.
3 credits
Prerequisites: MATH 110 with a grade of ""C"" or better
FLC Area IV: Exploration Cluster
MATH 310 Applied Statistical Methods
MATH 310 Applied Statistical Methods
Applies statistical techniques to the natural and social sciences. Topics include: Regression Analysis, Analysis of Variance (ANOVA), Time Series Analysis, Analysis of Contingency Tables, and Goodness of Fit Tests. Use of statistical software is an integral part of the course. Formerly MAT 300 Applied Statistical Methods.
3 credits
Prerequisites: MATH 210
TWO more courses (at least 6 credits) chosen from:
CMSC 111 Introduction to Programming
CMSC 111 Introduction to Programming
Serves as an entry-level programming course recommended for all students. Objects, arrays, program flow (if-then-else, while, do-while, for, switch), simple graphical user interfaces and applets, problem solving techniques, and elementary algorithms are covered. Effective design, implementation, debugging, and documentation of object-oriented programs are emphasized. Formerly MAT 141 Introduction to Programming.
MATH 315 Mathematical Probability and Statistics
MATH 315 Mathematical Probability and Statistics
Provides a calculus-based analysis of probability and statistics. Topics include probability, random variables, probability distributions, sampling distributions, and the central limit theorem. Formerly MAT 335 Mathematical Probability and Statistics.
MATH 410 Special Topics in Applied Statistics
MATH 410 Special Topics in Applied Statistics
Introduces selected topics in applied statistics such as actuarial mathematics, biostatistics, survival analysis, experimental design, or operations research. Students will be required to read and present information found in journal articles. Formerly MAT 401 Special Topics in Applied Statistics.
3 credits
MATH 345 Operations Research
MATH 345 Operations Research
Examines selected topics in operations research. Such topics include linear programming, simplex method, transportation problem, and network optimization. Formerly MAT 308 Operations Research.
Program Policies
Advanced Placement:
Students who score 4 or 5 on the calculus AB or BC exam will receive credit for MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
. Students who score 4 or 5 on the BC calculus exam may receive credit for MATH 225 Calculus and Analytic Geometry II
MATH 225 Calculus and Analytic Geometry II
Examines the following topics: applications of the definite integral, integration of algebraic and transcendental functions, infinite series, and topics in analytic geometry. Formerly MAT 126 Calculus and Analytic Geometry II.
4 credits
Prerequisite: MATH 125
at the discretion of the program chair.
CLEP Policy:
A satisfactory score on the CLEP exam in college algebra will be accepted in lieu of MATH 103. A satisfactory score on the CLEP exam in calculus will be accepted in lieu of MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
.
Cross-tallied Courses:
Courses that are cross-tallied represent identical courses offered with a different program prefix. Students may not enroll in or receive credit for more than one iteration of a cross-tallied course even in different semesters.
Grades in Major and Minor Courses:
Students are required to earn a grade of "C" (2.0) or better in all courses counted to fulfill requirements for the major or the minor. To declare the mathematics major, a student must receive a "B" or better in MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
and MATH 225 Calculus and Analytic Geometry II
MATH 225 Calculus and Analytic Geometry II
Examines the following topics: applications of the definite integral, integration of algebraic and transcendental functions, infinite series, and topics in analytic geometry. Formerly MAT 126 Calculus and Analytic Geometry II.
4 credits
Prerequisite: MATH 125
or the approval of the program chair.
Pass/No Pass:
No major or minor courses may be taken pass/no pass.
Senior Assessment:
Every mathematics major must successfully complete MATH 499 Senior Seminar in Mathematics
MATH 499 Senior Seminar in Mathematics
Provides a capstone experience required of all senior mathematics majors. Each student completes a comprehensive project that involves researching an area of mathematics not studied in formal course work. Through the project the student must demonstrate the ability to read and write mathematics, and as a culmination of the experience, students present their work in a formal lecture. Formerly MAT 490 Mathematics Senior Seminar.
3 credits
Prerequisites: Senior Status
.
TELL Policy:
TELL credits are accepted toward the Trinity degree based on the approval of program faculty. TELL credits do not count toward the major in mathematics.
Transfer Credits:
Students wishing to transfer credits must consult the Program Chair.
Course Descriptions
MATH 030 Pre-Algebra
MATH 030 Pre-Algebra
Designed for students with little or no high school algebra, or those who have not taken high school algebra in a number of years. Provides a comprehensive overview of basic computational skills and their applications, such as fractions, decimals, ratios and proportions, percentages, measurement, and an introduction to algebra. This course may not be taken pass/fail.
3 credits
Prerequisite: Score of up to and including 109 on the Arithmetic portion of the Accuplacer test.
MATH 060 Elementary Algebra
MATH 060 Elementary Algebra
The course will cover ratios, percentages, integers, introduction to algebraic expression and solving basic equations. The course is open only to students in the Associate's Degree program. This course may not be taken pass/fail.
3 credits
MATH 100 Introduction to Pre-Algebra
MATH 100 Introduction to Pre-Algebra
Designed for students with little or no high school algebra, or those who have not taken high school algebra in a number of years. Provides a comprehensive overview of basic computational skills and their applications, such as fractions, decimals, ratios and proportions, percentages, measurement, and an introduction to algebra.This course may not be taken pass/fail in the School of Professional Studies.
3 credits
Prerequisite: School of Professional Studies: Score of up to and including 109 on the Arithmetic portion of the Accuplacer test.
MATH 101 Introductory Algebra
MATH 101 Introductory Algebra
Provides students with an intensive review of high school algebra. Topics include a review of basic arithmetic operations, the real number system, algebraic expression and exponents with basic rules of algebra, linear equations and inequalities with applications, and graphs of equations and inequalities. Recommended for students who need a review of high school algebra before fulfilling the general education or Core math requirement. Formerly MAT 103A Intermediate Algebra. This course may not be taken as pass/fail by students in the School of Professional Studies, and CAS students must earn a C or higher in order to pass the course. A weekly laboratory meeting supplements instruction for this course.
3 credits
Prerequisite: School of Professional Studies: Grade of C or higher in MATH 100 OR placement test proficiency.
MATH 101S Introductory Algebra with Suppl Instruction
MATH 101S Introductory Algebra with Suppl Instruction
Provides students with an intensive review of high school algebra. Topics include a review of basic arithmetic operations, the real number system, algebraic expression and exponents with basic rules of algebra, linear equations and inequalities with applications, and graphs of equations and inequalities. Recommended for students who need a review of high school algebra before fulfilling the general education or Core math requirement. Formerly MAT 103A Intermediate Algebra. This course may not be taken as pass/fail by students in the School of Professional Studies. A weekly laboratory supplements instruction for this course. CAS students must earn a C or higher in order to pass this course.
4 credits
MATH 102 Intermediate Algebra
MATH 102 Intermediate Algebra
This course is intended for those mathematics and science majors who have some background in algebra but lack the preparation needed to study precalculus and calculus. Topics covered include exponents; factoring; quadratic and polynomial expressions, equations and inequalities; rational expressions, equations and inequalities; radical expressions and equations; systems of equations and inequalities.
3 credits
Prerequisite: MATH 101 or Mathematics Placement Test Proficiency
MATH 105 Mathematical Problem Solving
MATH 105 Mathematical Problem Solving
This course is designed for students who wish to become teachers, although it satisfies the critical reasoning requirement for all students. Topics include number theory, probability, basic descriptive statistics, geometry, measurement, and other topics that include both content and process knowledge. The emphasis is on building mathematical reasoning skills and on applying mathematical concepts to diverse situations. The use of calculators is not permitted in this course.
3 credits
Prerequisite: MATH 101
Gen Ed Critical Reasoning
MATH 109 Foundations of Mathematics
MATH 109 Foundations of Mathematics
Introduces the fundamental principles of various areas of mathematics as they relate to the other liberal arts. Topics may include symbolic logic, sets and combinatorics, probability, introductory descriptive statistics, geometric structures, and finance. Recommended for students who do not plan to take another math course. Formerly MAT 109 Foundations of Mathematics. This course may not be taken pass/fail by School of Professional Studies students.
3 credits
Prerequisite: Grade of C or higher in MATH 101 OR placement test proficiency.
General Education: Foundational Skills Area
FLC Area IV, Quantitative Analysis Cluster
Core Area I: Skills for Work and Life
MATH 110 Introduction to Statistics
MATH 110 Introduction to Statistics
Presents the basic principles of statistics with applications to the social sciences. Topics include descriptive statistics, probability theory, normal and binomial distributions, and central limit theorem, with an introduction to the use of statistical software. Formerly MAT 110 Introduction to Statistics.
3 credits
General Education: Knowledge and Inquiry Area
Prerequisites: MATH 108, MATH 109 or higher level mathematics course
MATH 111 Applied Mathematical Skills
MATH 111 Applied Mathematical Skills
Covers basic algebra with an emphasis on problem solving skills; elementary mathematical modeling, focusing on applications to real world phenomena; probability theory and applications; and introduction to the use of statistics to describe and analyze data.
3 credits
MATH 123 Pre-Calculus
MATH 123 Pre-Calculus
Prepares students for calculus. Subjects include the concept of a function, exponential and logarithmic functions, trigonometric functions and coordinate geometry. A student who already has a good grasp of these topics should elect MAT 125 instead of this course. Formerly MAT 123 Pre-calculus.
4 credits
Prerequisites: MATH 103 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Quantitative Analysis Cluster
MATH 125 Calculus and Analytic Geometry I
MATH 125 Calculus and Analytic Geometry I
Examines the following topics: functions, limits, continuity, differentiation and applications, and basic integration. Formerly MAT 125 Calculus and Analytic Geometry I.
4 credits
Prerequisites: MATH 123 or placement test proficiency
General Education: Knowledge and Inquiry Area
FLC Area IV: Exploration Cluster
MATH 210 Statistical Inference
MATH 210 Statistical Inference
Applies the principles of inference to the social sciences. Topics include confidence intervals, inference for distributions, one and two-sample t-test, z-test, F-test, chi-square test, linear regression analysis and comparing two proportions. Use of statistical software is an integral part of the course. Formerly MAT 210 Statistical Inference.
3 credits
Prerequisites: MATH 110 with a grade of ""C"" or better
FLC Area IV: Exploration Cluster
MATH 225 Calculus and Analytic Geometry II
MATH 225 Calculus and Analytic Geometry II
Examines the following topics: applications of the definite integral, integration of algebraic and transcendental functions, infinite series, and topics in analytic geometry. Formerly MAT 126 Calculus and Analytic Geometry II.
4 credits
Prerequisite: MATH 125
MATH 299H Math Across Cultures: Ethnomathematics - HONORS
MATH 299H Math Across Cultures: Ethnomathematics - HONORS
Course Description: Ethnomathematics is the study of mathematical ideas expressed and embedded in various traditional cultures of indigenous people from around the world. The different cultures introduced will include the Maya, Marshall Islanders, Tongans, Trobriand Islanders, Borano, Malagasy, Basque, Tamil, Balinese, and Kodi. This capstone Honors course will explore the mathematical concepts of numeration systems, graph theory, probability, geometry and logic. The seminar will focus on how culture gives rise to and influences each of these mathematical ideas. This course is limited to Honors Program students or with permission of instructor only.
Credits: 3
Prerequisites: status as an Honors Program student or with permission of instructor only
MATH 301 Linear Algebra
MATH 301 Linear Algebra
Develops methods of solutions of systems of linear equations, the theory of matrices, determinants, vector spaces, linear transformations, and eigenvalues. Formerly MAT 247 Linear Algebra.
4 credits
Prerequisites: MATH 225 (may be taken concurrently)
MATH 310 Applied Statistical Methods
MATH 310 Applied Statistical Methods
Applies statistical techniques to the natural and social sciences. Topics include: Regression Analysis, Analysis of Variance (ANOVA), Time Series Analysis, Analysis of Contingency Tables, and Goodness of Fit Tests. Use of statistical software is an integral part of the course. Formerly MAT 300 Applied Statistical Methods.
3 credits
Prerequisites: MATH 210
MATH 315 Mathematical Probability and Statistics
MATH 315 Mathematical Probability and Statistics
Provides a calculus-based analysis of probability and statistics. Topics include probability, random variables, probability distributions, sampling distributions, and the central limit theorem. Formerly MAT 335 Mathematical Probability and Statistics.
MATH 325 Multi-Variable Calculus
MATH 325 Multi-Variable Calculus
Examines the calculus of functions of several variables. Topics include partial derivatives, multiple integrals, and the calculus of vector fields, including Green's Theorem.
Formerly MAT 227 Multi-Variable Calculus.
4 credits
Prerequisites: MATH 225 with a grade of ""C"" or better
MATH 327 Differential Equations
MATH 327 Differential Equations
Examines the basic techniques for solving ordinary differential equations, which arise in such areas as physics, chemistry, and biology. Formerly MAT 237 Differential Equations.
3 credits
Prerequisites: MATH 225
MATH 331 Introduction to Abstract Mathematics
MATH 331 Introduction to Abstract Mathematics
Provides a transition from the skills courses in mathematics to the more abstract courses for the mathematics major. Students will be exposed to the research tools in mathematics. Proof as a concept and a process will be examined in light of previous content in calculus, geometry, and algebra. Formerly MAT 245 Introduction to Abstract Mathematics.
3 credits
Prerequisites: MATH 225
MATH 341 Discrete Mathematics and Mathematical Modeling
MATH 341 Discrete Mathematics and Mathematical Modeling
Introduces discrete mathematics with applications to mathematical modeling. Possible topics include Markov chains, game theory, group decision-making, measurement, and utility. Formerly MAT 290 Discrete Mathematics and Mathematical Modeling.
3 credits
Prerequisites: MATH 225
MATH 345 Operations Research
MATH 345 Operations Research
Examines selected topics in operations research. Such topics include linear programming, simplex method, transportation problem, and network optimization. Formerly MAT 308 Operations Research.
MATH 371 History of Mathematics
MATH 371 History of Mathematics
Surveys the development of mathematics from ancient civilizations to modern times. The student sees that mathematics is a human endeavor developed through experimentation and the need to solve real world problems. Formerly MAT 340 History of Mathematics.
3 credits
Prerequisites: MATH 125
MATH 403 Abstract Algebra I
MATH 403 Abstract Algebra I
Introduces the basic concepts of abstract algebra, including groups, subgroups, factor groups, homomorphism and isomorphism, and rings and fields. Formerly MAT 301 Abstract Algebra I.
3 credits
Prerequisites: MATH 301 and MATH 331
MATH 410 Special Topics in Applied Statistics
MATH 410 Special Topics in Applied Statistics
Introduces selected topics in applied statistics such as actuarial mathematics, biostatistics, survival analysis, experimental design, or operations research. Students will be required to read and present information found in journal articles. Formerly MAT 401 Special Topics in Applied Statistics.
3 credits
MATH 431 Real Analysis I
MATH 431 Real Analysis I
Presents the basic concepts of analysis, including sets and functions, the real numbers, the topology of Euclidean spaces, compact and connected sets, continuity and uniform continuity, convergence and uniform convergence, and the Riemann integral. Formerly MAT 421 Real Analysis I.
3 credits
Prerequisites: MATH 331
MATH 433 Number Theory
MATH 433 Number Theory
Examines topics in introductory number theory, including basic concepts of integers and congruencies, Fermat's and Wilson's theorems, Diophantine equations, and quadratic reciprocity. Formerly MAT 303 Number Theory.
3 credits
Prerequisites: MATH 301 (may be taken concurrently)
MATH 435 Geometry
MATH 435 Geometry
Examines topics to be selected from Euclidean geometry, non-Euclidean geometry, and projective geometry. Formerly MAT 450 Geometry.
3 credits
Prerequisites: MATH 301
MATH 437 Complex Variables
MATH 437 Complex Variables
Examines the theory of functions of a complex variable. The course includes the complex number system and the theory of differentiation and integration of complex functions through the residue theorem. Formerly MAT 424 Complex Variables.
MATH 491 Internship in Mathematics
MATH 491 Internship in Mathematics
Provides practical experience in an area of applied mathematics. Students must make special arrangements with the Program Chair.
Credits arranged
Prerequisites: Permission of Program Chair
MATH 498 Independent Study
MATH 499 Senior Seminar in Mathematics
MATH 499 Senior Seminar in Mathematics
Provides a capstone experience required of all senior mathematics majors. Each student completes a comprehensive project that involves researching an area of mathematics not studied in formal course work. Through the project the student must demonstrate the ability to read and write mathematics, and as a culmination of the experience, students present their work in a formal lecture. Formerly MAT 490 Mathematics Senior Seminar.
3 credits
Prerequisites: Senior Status