Department of Mathematics and Statistics

Dr. Dawn Nelson, Chairperson

The Department of Mathematics and Statistics offers three majors and two minors. Students must maintain an average GPA of at least 2.0 in all courses counted towards the B.S. degree or an average GPA of at least 2.5 in all courses counted towards the B.A. degree.

Requirements for Mathematics Major

Degree of Bachelor of Science

Three to four of the required credits for the major count towards the Core Curriculum Requirements.

Take one of the following sequences ¹		8
MA-123 & MA-124 & MA-125	Elementary Calculus I and Elementary Calculus II and Intermediate Calculus
Or
MA-143 & MA-144	Differential Calculus and Integral Calculus
MA-247	Introductory Linear Algebra	3
MA-248	Math Tech Lab	1
MA-250	Transition to Advanced Mathematics	3
MA-273	Multivariable Calculus I	4
MA-274	Multivariable Calculus II	4
MA-441	Modern Algebra	3
MA	Capstone Experience ²	0
Take one of the following courses		3-4
MA-377	Ordinary Differential Equation
MA-379	Differential Equations for Engineers
Take one of the following courses		3
MA-222	Intermediate Statistics
MA-335	Probability Theory
MA-336	Mathematical Statistics
MA-337	Statistical Computing With R
MA-338	Regression Analysis
MA-389	Topics in Statistics

MA	One Mathematics or Statistics Elective (MA-212 or higher) ³	3
MA	Four Mathematics or Statistics Electives (MA-316 or higher)	12
Total Credits		47-48

Special Notes on Course Requirements

Ordinarily a student may not receive credit for more than one of the 100 level calculus sequences. MA-133 may substitute for MA-123 or MA-143.

To be satisfied in an upper division MA course during the student’s senior year.

A cognate course may be substituted with permission.

Special Notes on Core Curriculum Requirements

The Core Curriculum Requirement 3.1 for the B.S. in Mathematics degree is as follows:

(A) Natural Science: One course in Biology, Chemistry, or Physics.

(B) STEM: One course in computer programming, namely CS-180 or higher.

Mathematics majors are encouraged to take EC-101 Macroeconomic Principles to satisfy their Core Curriculum Requirement 2.1

Special Note on Major Requirements

The Chairperson of the Mathematics Department may reduce the 12 credit requirement in the Mathematics electives to 6 credits for the B.S. degree if the student has, in consultation with a departmental advisor, combined this Mathematics major with a specified program of courses in a related field. Such programs include, but are not limited to, major or minor programs in another department and the certification program in secondary education.

Requirements for Mathematics Major

Degree of Bachelor of Arts, Concentration:

Elementary Education

Three of the required credits for the major count towards the Core Curriculum Requirements.
MA-250	Transition to Advanced Mathematics	3
MA-400	History of Mathematics	3
Capstone Experience ¹		0
Take three courses in Essential Mathematics and Statistics		9
Group 1: Essential Mathematics (choose one)
MA-101	Precalculus
MA-107	Topics in Contemporary Mathematics
MA-218	Quantitative Methods for Business
Group 2: Essential Statistics (choose two, one course must be numbered MA-132 or higher)
MA-103	Probability & Statistics for Liberal Art ²
MA-106	Introduction to Probability & Statistics ²
MA-132	Statistics for Life Sciences ³
MA-212	Elementary Statistics ³
MA-222	Intermediate Statistics
MA-304	Stats Prob & Discrete Math Middle Schoo
MA-336	Mathematical Statistics
MA-337	Statistical Computing With R
Take two courses in Calculus ⁴		6-8
MA-123 & MA-124	Elementary Calculus I and Elementary Calculus II
or
MA-143 & MA-144	Differential Calculus and Integral Calculus
MA-273 & MA-274	Multivariable Calculus I and Multivariable Calculus II
MA-375	Advanced Calculus
MA-377	Ordinary Differential Equation
or MA-379	Differential Equations for Engineers
Take one course in Algebra		3
MA-247	Introductory Linear Algebra
MA-302	Elem Math Functions for Mid Sc
MA-441	Modern Algebra
Take one course in Geometry		3
MA-306	Geometry for Middle School
MA-350	College Geometry
MA	Take one Mathematics or Statistics Elective (numbered 212 or higher)	3
MA	Take one Mathematics or Statistics Elective (numbered 300 or higher)	3
Total Credits		33-35

To be satisfied in an upper division MA course during the student’s senior year.

A student may not receive credit for both MA-103 and MA-106.

A student may not receive credit for both MA-132 and MA-212.

⁴

Ordinarily a student may not receive credit for more than one of the 100 level calculus sequences. MA-133 may substitute for MA-123 or MA-143.

Special Notes on Core Curriculum Requirements

The Core Curriculum Requirement 3.1 for the B.A. degree, Concentration in Elementary Education, is as follows:

(A) Natural Science: Students are encouraged to take BI-122, BI-124 or a comparable course in Biology

(B) STEM: Students are encouraged to take one course in computer programming, namely CS-180 or higher.

Mathematics majors are encouraged to take EC-101 to satisfy their Core Curriculum Requirement 2.1.

Special Note on Major Requirements

At least four courses must be at the 300-Level or above.

Requirements for Mathematics Major

Degree of Bachelor of Arts, Concentration:

Secondary Education

Three to four of the required credits for the major count towards the Core Curriculum Requirements.
MA-247	Introductory Linear Algebra	3
MA-248	Math Tech Lab	1
MA-250	Transition to Advanced Mathematics	3
MA-350	College Geometry	3
MA-400	History of Mathematics	3
MA-441	Modern Algebra	3
	Capstone Experience ¹
Take at least fourteen credits in Calculus ²		14-16
MA-123 & MA-124 & MA-125	Elementary Calculus I and Elementary Calculus II and Intermediate Calculus
or
MA-143 & MA-144	Differential Calculus and Integral Calculus
MA-273 & MA-274	Multivariable Calculus I and Multivariable Calculus II
MA-375	Advanced Calculus
MA-377	Ordinary Differential Equation
or MA-379	Differential Equations for Engineers
Take one course in Statistics, Probability or Discrete Mathematics		3
MA-132	Statistics for Life Sciences ³
MA-212	Elementary Statistics ³
MA-222	Intermediate Statistics
MA-316	Intermediate Discrete Mathematics
MA-335	Probability Theory
MA-336	Mathematical Statistics
MA-337	Statistical Computing With R
MA-338	Regression Analysis
MA-389	Topics in Statistics
MA	Take one Mathematics or Statistics Elective (numbered 316 or higher)
Total Credits		33-35

To be satisfied in an upper division MA course during the student’s senior year.

Ordinarily a student may not receive credit for more than one of the 100 level calculus sequences. MA-133 may substitute for MA-123 or MA-143. Students with placement above MA-144 should expect to complete MA-375, MA-377 or MA-379 as the third course and a mathematics elective numbered 212 or higher as the fourth course.

A student may not receive credit for both MA-132 and MA-212.

Special Notes on Core Curriculum Requirements

The Core Curriculum Requirement 3.1 for the B.A. degree, Concentration in Secondary Education, is as follows:

(A) Natural Science: Students are encouraged to take BI-122, BI-124 or a comparable course in Biology

(B) STEM: One course in computer programming, namely CS-180 or higher.

Mathematics majors are encouraged to take EC-101 to satisfy their Core Curriculum Requirement 2.1

Special Note on Multiple BA Concentrations

If a student wishes to earn concentrations in both Elementary Education and Secondary Education, the student must complete an additional 12 credits of courses numbered 212 or above.

Requirements for a Minor in Mathematics

Select one of the following calculus sequences:		6-8
MA-123 & MA-124	Elementary Calculus I and Elementary Calculus II
MA-132 & MA-133	Statistics for Life Sciences and Calculus for the Life Sciences
MA-143 & MA-144	Differential Calculus and Integral Calculus
MA-273 & MA-274	Multivariable Calculus I and Multivariable Calculus II
Select 4 MA-courses, numbered 212 or above		12+
Total Credits		18-20+

Special Notes on Minor Requirements

Students wishing to minor in mathematics should meet with the department Chairperson to choose appropriate electives to match or complement their major.

A student must maintain an average of at least 2.0 in the courses presented for the mathematics minor.

Ordinarily a student may not receive credit for more than one of the 100 level calculus sequences. MA-133 may substitute for MA-123 or MA-143.

Requirements for a Minor in Statistics

Select one of the following courses		3
MA-132	Statistics for Life Sciences
MA-212	Elementary Statistics
Select five of the following options		15
MA-222	Intermediate Statistics
MA-335	Probability Theory
MA-336	Mathematical Statistics
MA-337	Statistical Computing With R
MA-338	Regression Analysis
MA-389	Topics in Statistics ¹
At most one from the following group
BA-388 or BA-414 or BI-311 or CJ-350 or EC-300 or MA-304 or PO-200 or PS-200 or SO-448
At most one from the following group (with permission of the department chairperson)
BA-351 or BI-385 or BI-497 or BI-498 or CU-400 or HS-499 or HP-492 or MA-295 or MA-399 or PC-390 or PS-398 or SO-450
At most one from the following group
MA-123 or MA-124 or MA-133 or MA-143 or MA-144 or MA-218 or MA-273 or MA-274 or MA-316 or MA-385 or MA-400
Total Credits		18

Special Notes on Minor Requirements

May be repeated with a different topic.

Special Notes on Core Curriculum Requirements For All Students

Ordinarily a student may not receive credit for more than one of the 100 level calculus sequences. A student may not receive credit for both MA-103 and MA-106. A student may not receive credit for both MA-132 Statistics for the Life Sciences and MA-212 Elementary Statistics.

Satisfactory completion of a mathematics course with integrated mathematics reviews, such as MA-103 Probability and Statistics for the Liberal Arts, may be required based on placement test results.

Students intending or expected to take calculus courses may first be required to take MA-100 Fundamentals of College Algebra and/or MA-101 Precalculus, unless exempted by placement test results.

Courses

MA-100. Fundamentals of College Algebra. 3.00 Credits.

Brief review of real numbers and variable expressions; solving equations and inequalities; linear functions; polynomials; factoring; rational expressions; rational exponents and radicals.

MA-101. Precalculus. 3.00 Credits.

Brief review of basic algebraic concepts; functions (general concepts, linear, quadratic); polynomial and rational functions; exponential and logarithmic functions; summary of trigonometric functions; application problems. Course Type(s): Core curriculum course.

MA-102. Mathematics for the Liberal Arts. 3.00 Credits.

Topics to be chosen from the following: problem solving; logic; consumer mathematics; personal finance; voting and apportionment; mathematics and the arts; mathematics of growth; graph theory; number theory. Additional topics may be covered at the discretion of the instructor. This course will contain an integrated review component. Course Type(s): Core curriculum course.

MA-103. Probability & Statistics for Liberal Art. 3.00 Credits.

Set theory, finite probability, collection of data, graphical displays of data, summary statistics, the normal distribution, linear regression and correlation. Additional topics may be covered at the discretion of the instructor. This course will contain an integrated review component. Course Type(s): Math.

MA-105. Elementary Applied Mathematics. 3.00 Credits.

Introduction to ways in which everyday situations can be modeled and studied mathematically: networks, voting, coding, and finance. Course Type(s): Core curriculum course.

MA-106. Introduction to Probability & Statistics. 3.00 Credits.

Describing data collections using measures (e.g., center and spread) and graphical representations (e.g., histograms and plots), estimating probabilities for discrete and continuous distributions, and making statistical inferences using selected approaches (e.g., confidence intervals, hypothesis testing, linear regression analysis). Course Type(s): Math.

MA-107. Topics in Contemporary Mathematics. 3.00 Credits.

Topics vary by term. Examples may include but are not limited to the following: logic; consumer mathematics; personal finance; voting and apportionment; mathematics and the arts; mathematics of growth; graph theory; number theory; coding theory. Course Type(s): Math.

MA-108. Mathematics for Educators I. 3.00 Credits.

In-depth study of the concepts that underlie the mathematics of the elementary school curriculum in the United States. Topics include set theory, numeration, mathematical thinking, number theory, and the four basic operations of mathematics. This course is intended for individuals who expect to teach in primary school. Course Type(s): Core curriculum course.

MA-109. Mathematics for Educators II. 3.00 Credits.

Topics include the real number system, proportional reasoning, statistics, probability, and measurement systems. This course is intended for individuals who expect to teach in primary school. Course Type(s): Core curriculum course.

MA-123. Elementary Calculus I. 3.00 Credits.

Differential calculus of polynomial and rational functions; applications of calculus to problems in business and economics. Course Type(s): Math, STEM.

MA-124. Elementary Calculus II. 3.00 Credits.

Exponential and logarithmic functions, integral calculus, differential equations; applications to problems in business and economics. Prerequisites: MA-123 OR MA-133; Course Type(s): Math, STEM.

MA-125. Intermediate Calculus. 2.00 Credits.

This course is intended for students (e.g., computer science majors) who have completed 6 credits of calculus and who now wish to take Multivariable Calculus. Prerequisites: MA-124.

MA-132. Statistics for Life Sciences. 3.00 Credits.

Basic methods of data analysis. Topics include displaying data graphically; measures of central tendency and variability; probability concepts; normal, t, chi-square, and F distributions; confidence intervals and estimation; hypothesis testing; regression and correlation analysis; analysis of variance; contingency tables; use of statistical software. Biological applications are emphasized. Course Type(s): Math, STEM.

MA-133. Calculus for the Life Sciences. 4.00 Credits.

Polynomial, rational, and trigonometric functions; limits, continuity, derivatives; graphs, maximum-minimum problems; exponential and logarithmic functions, growth and decay problems integrals, basic integration techniques, applications of the integral. Biological applications are emphasized. Course Type(s): Math, STEM.

MA-143. Differential Calculus. 4.00 Credits.

Limits and continuity; the derivative; chain rule and differentiation of algebraic functions; extrema; applications; the Mean Value Theorem. Course Type(s): Math, STEM.

MA-144. Integral Calculus. 4.00 Credits.

The definite integral and the Fundamental Theorem of the Calculus; applications; transcendental functions; methods of integration. Prerequisites: MA-133 OR MA-143; Course Type(s): Math, STEM.

MA-210. Mathematics for the Health Sciences. 3.00 Credits.

As students in this course master foundational mathematics, they will identify the application of mathematics to various professions in the health sciences and allied fields. The concepts they study include but are not limited to the fundamentals of mathematical computation; metric, household, apothecary and other measurement systems; scientific notation, exponents, and logarithms; ratios, proportions, direct and inverse variations, and percentages; formulas and literal equations; medical dosage calculations; and problem-solving strategies pertinent to applications in the health sciences embedded within real-life scenarios. Course Type(s): Math, STEM.

MA-212. Elementary Statistics. 3.00 Credits.

Descriptive statistics, laws of probability, some standard probability functions, central limit theorem, confidence intervals, hypothesis testing. Course Type(s): Math, STEM.

MA-214. Mathematics of Finance. 3.00 Credits.

Interest, partial payment, ordinary annuities, depreciation, amortization, sinking funds bonds, deferred annuities, perpetuities probability, mortality tables, life annuities, life insurance. Prerequisites: COMPLETE MA-106 OR MA-132 OR MA-212 OR MA-123 OR MA-133 OR MA-143 OR MA-273 OR INSTRUCTOR PERMISSION.

MA-216. Computer Mathematics. 3.00 Credits.

Number systems, internal representation, errors logic, Boolean algebra, circuits algorithms, efficiency counting, probability. Prerequisites: MA-106 OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 AND CS-180.

MA-218. Quantitative Methods for Business. 3.00 Credits.

Students will explore methods to perform quantitative analysis and make decisions within a business context and elsewhere. Selected topics may include mathematical modeling and sensitivity analysis, techniques for decision making with uncertainty or risk, regression and forecasting models, linear and integer programming with applications such as transportation and assignment models, network models, project management, waiting line or queuing theory, and probability theory with Markov analysis. Course Type(s): Math, STEM.

MA-222. Intermediate Statistics. 3.00 Credits.

This course extends the statistical data analysis introduced in MA-212 or MA-132. Students will explore additional topics in parametric and non-parametric methods, including analysis of variance (ANOVA) and multiple regression. Learner will also actively design statistical experiments and interpret data sets. Students will use statistical software and computer programming as tools to assist with data analysis. Prerequisites: MA-212 OR MA-132 OR PERMISSION OF INSTRUCTOR; Course Type(s): Math, STEM.

MA-247. Introductory Linear Algebra. 3.00 Credits.

Matrix calculus, vector spaces, linear independence and bases, linear transformations on vector spaces, eigenvalues and eigenvectors. Prerequisites: MA-123, OR MA-133, OR MA-143, OR MA-212, OR PERMISSION OF INSTRUCTOR.

MA-248. Math Tech Lab. 1.00 Credit.

Software for numerical and symbolic computations (such as MatLab and Mathematica), and mathematical typesetting (such as TeX) Prerequisites: MA-144 OR MA-125 ; OR INSTRUCTOR PERMISSION Course Type(s): Lab Courses.

MA-250. Transition to Advanced Mathematics. 3.00 Credits.

Students will learn the language and tools necessary for advanced mathematics, including sets, logic, various types of mathematical proof (direct, contradiction, contrapositive, induction, disproof), functions, and relations, with an emphasis on producing concise and rigorous arguments. Prerequisites: MA-101 OR MA-105 OR MA-106 OR MA-108 OR MA-109 OR MA-123 OR MA-124 OR MA-125 OR MA-132 OR MA-133 OR MA-143 OR MA-144 OR MA-212 OR MA-218 OR MA-222 OR MA-273 OR MA-274.

MA-273. Multivariable Calculus I. 4.00 Credits.

Integration techniques, 2-and-3 dimensional vector geometry; functions of several variables, limits, directional derivatives, partial differentiation, extrema; double and Triple integrals. Prerequisites: MA-144 OR MA-125(12089); Course Type(s): Math, STEM.

MA-274. Multivariable Calculus II. 4.00 Credits.

Limits and L'Hospital's Rule, improper integrals, infinite sequences and series power series, Taylor series, selected topics in multivariable calculus. Prerequisites: MA-273; Course Type(s): Math, STEM.

MA-295. Credited Internships. 3.00 Credits.

Co-operative work experience. Course Type(s): Independent Study.

MA-302. Elem Math Functions for Mid Sc. 3.00 Credits.

Functions and equations, arithmetic and geometric sequences, mathematical methods, linear functions, difference equations, quadratic and cubic functions, exponential and logarithmic functions, domain and range, fitting a line to data and modeling, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-304. Stats Prob & Discrete Math Middle Schoo. 3.00 Credits.

Topics include collecting, summarizing, and interpreting data, sampling techniques, fundamental concepts of probability, counting techniques, Euler and Hamiltonian circuits, shortest distance algorithms, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-306. Geometry for Middle School. 3.00 Credits.

Metric and US standard measurement, inductive and deductive reasoning, Euclidean geometry of two and three-dimensional figures including, but not limited to: area, perimeter, volume, surface area, congruency, similarity, rotation and transformation. Coordinate geometry, iteration and fractals, geometry in the world around us, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-316. Intermediate Discrete Mathematics. 3.00 Credits.

Students will engage with noncontinuous mathematics, the mathematical language of computer science, information theory, etc. Topics may include but are not limited to graph theory, recurrence relations, generating functions, algorithms, partially ordered sets, lattices, and finite geometries. Prerequisites: MA-250.

MA-335. Probability Theory. 3.00 Credits.

Probability spaces, random variables, expectation, variance, standard deviation, binomial, multinomial, and Poisson distributions approximations by the normal distribution, Chebyshev's Inequality. Prerequisites: MA-273.

MA-336. Mathematical Statistics. 3.00 Credits.

Law of large numbers, Central Limit Theorem, estimation of parameters, confidence intervals, test of hypotheses, sampling, regression, analysis of variance. Prerequisites: MA-124 OR MA-144 OR MA-273 TAKING MA-335 AS A PRE-REQUISITE IS RECOMMENDED, THOUGH NOT REQUIRED.

MA-337. Statistical Computing With R. 3.00 Credits.

In this course students explore the fundamental principles of statistical computing in R. Learners will engage in topics such as the fundamentals of R, data types, matrices, data frames, control structures, input/output, libraries (e.g. ggplot2), visualizations, statistical inference, and simulations. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-335 OR MA-336 OR PERMISSION OF INSTRUCTOR.

MA-338. Regression Analysis. 3.00 Credits.

In this course, students explore the applications of regression analysis and techniques of model building. Learners will engage in topics such as simple and multiple linear regression models, correlation, estimation and prediction, confidence intervals, residuals, common pitfalls of regression analysis and possible corrections, transformations, interactions, and model building. Statistical software, such as R, will be used. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-336 OR EC-300 OR PERMISSION OF INSTRUCTOR.

MA-347. Topics in Linear Algebra. 3.00 Credits.

Students will expand conceptual knowledge developed in MA-247 as they explore intermediate topics in linear algebra spanning from the theoretical to the applied. Possible topics include abstract vector spaces, orthogonal sets, matrix decomposition/factorization, least squares, iterative methods, Vandermonde matrices, and polynomial interpolation and approximation. Prerequisites: MA-247.

MA-350. College Geometry. 3.00 Credits.

Study of Euclidean and other geometries from an axiomatic point of view. Prerequisites: MA-250 OR PERMISSION OF INSTRUCTOR.

MA-375. Advanced Calculus. 3.00 Credits.

Real numbers, sequences, limits of sequences and functions, continuity, differentiation, theory of integration, pointwise and uniform convergence. Prerequisites: MA-274.

MA-377. Ordinary Differential Equation. 3.00 Credits.

Existence and uniqueness of solutions, first and second order equations, systems of linear differential equations, solutions in power series applications. Prerequisites: MA-144 OR PERMISSION OF THE INSTRUCTOR.

MA-379. Differential Equations for Engineers. 4.00 Credits.

This Course is an Expanded Version of MA-377 and includes the following additional topics: The Laplace Transform, Partial Differential Equations and Fourier Series. Prerequisites: MA-144 OR PERMISSION OF THE INSTRUCTOR.

MA-382. Mathematical Modeling. 3.00 Credits.

The nature and philosophy of model building algebraic and analytic models in the social, physical, and life sciences. Prerequisites: MA-273 MA-247 OR MA-250.

MA-385. Topics in Applied Mathematics. 3.00 Credits.

Topics vary by term. Prerequisites: MA-273 MA-247 MA-250 OR WITH INSTRUCTOR'S PERMISSION.

MA-387. Topics in Mathematics. 3.00 Credits.

Topics vary by term. Prerequisites: MA-273 MA-247 OR MA-250.

MA-389. Topics in Statistics. 3.00 Credits.

Topics vary by term. Examples may include but are not limited to the following: Analysis of Variance and Multivariate Statistical Analysis, Non-Parametric or Distribution-Free Inferential Statistics, Regression Analysis, Design of Experiments and Data Interpretation, Bayesian Statistics, and Statistical Programming. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-336 OR EC-300 OR PS-200 OR SO-448 OR PERMISSION OF INSTRUCTOR.

MA-399. Independent Study. 3.00 Credits.

MA-400. History of Mathematics. 3.00 Credits.

Learners will examine various mathematical concepts and constructs, exploring the diverse cultural contexts and historical perspectives that framed them students will solve representative problems that illuminate and illustrate these mathematical discoveries and developments from across the centuries, from antiquity through the modern era. Prerequisites: MA-124 OR MA-144 OR MA-273, AND MA-250 OR MA-247, OR PERMISSION OF INSTRUCTOR.

MA-417. Introduction to Topology. 3.00 Credits.

In this survey course of introductory pure mathematical topics in topology, students will explore the nature of abstract geometric spaces. Learners will generalize the concepts of continuity and connectedness to general spaces, construct new spaces from old ones using the product and quotient topologies, and apply algebraic invariants such as the Euler number and fundamental group to show that two spaces cannot be deformed into one another. Prerequisites: MA-250, MA-124 OR MA-133 OR MA-144 OR MA-273.

MA-441. Modern Algebra. 3.00 Credits.

Introduction to modern algebraic concepts the theory of groups, rings, and fields. Prerequisites: MA-250 AND MA-247 OR PERMISSION OF INSTRUCTOR.

MA-442. Topics in Modern Algebra. 3.00 Credits.

Topics may include but are not limited to the following: group theory, symmetry groups, Sylow theorems, algebraic coding theory, finite field theory, field extensions, Galois theory, and constructible numbers. Prerequisites: MA-441 OR PERMISSION OF INSTRUCTOR.

MA-467. Functions of a Complex Variable. 3.00 Credits.

Complex numbers, analytic functions, elementary functions, mapping of elementary functions, integrals. Prerequisites: MA-274.

MA-481. Numerical Analysis. 3.00 Credits.

Use of the computer to solve numerical problems. Error analysis solutions of equations linear systems interpolation approximation integration. Prerequisites: MA-273 MA-247 CS-180.

MA-490. Senior Seminar in Mathematics. 3.00 Credits.

In this capstone course, graduating senior Mathematics majors will explore areas of mathematics that draw on many of the previous courses, emphasizing the connection between different areas of mathematics. This culminating academic experience for the major will include writing, presentations, and contemporary mathematics research. Prerequisites: MA-441 OR MA-400 OR PERMISSION OF INSTRUCTOR; SENIOR MATHEMATICS MAJORS ONLY. Course Type(s): Capstone, Writing Intensive.