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Nov 15, 2019
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MAT 099 - Algebra Essentials
Mathematic Essentials
Prerequisite: Placement at this level

Review of algebraic concepts and skills from Elementary and Intermediate Algebra. Topics include (but are not limited to) operations on numbres and algebraic expressions, functions and their graphs, determining the zeros of a function. This course is designed to prepare students in both non-STEM and STEM disciplines for further study in mathematics. Use of a graphing calculator is required. (May not be used for credit toward graduation.)

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
FPR Pre Tier 1 Mathematics

MAT 120 - Algebra Concepts in Context
Algebra Concepts in Context
Note: Open to Bachelor of General Studies students only.

This course will help prepare students both for the algebra they will meet in subsequent mathematics courses and for the mathematics they will use outside of academic contexts. The concepts of algebra are presented in realistic contexts and explored through a number of representations, including verbal, symbolic, graphical, and tabular. The focus is on the concept of function, with a thorough study of both linear and exponential functions.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 130 - Precalculus Mathematics
Precalculus Mathematics
Prerequisite: MAT 101 or Placement Or SAT 600+

A review of topics in algebra. An introduction to functions, inverse functions, exponential and logarithmic functions, trigonometry. The use and mastery of graphing technology is an essential aspect of the course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
CSUS Common Course, GER IIIA-Mathematics, LAC T1M-Mathematics

MAT 135 - Math For Liberal Arts
Math For Liberal Arts
Prerequisite: MAT 101 or Placement or SAT 600+

Mathematics applied to solving practical problems in a variety of disciplines. Mathematical topics include voting theory and financial mathematics. Mathematical methods are used to examine how groups make voting decisions, achieve power, divide resources, resolve conflicts; to study topics related to personal finance. Additional topics may include but are not limited to statistics, biological population growth, and geometric patterns.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture, Online

Mathematical Sciences Department

Course Attributes:
CSUS Common Course, GER IIIA-Mathematics, LAC T1M-Mathematics

MAT 135P - Math For Liberal Arts Plus
Math For Liberal Arts Plus
Prerequisite: Placement at this level or completion of MAT 099.

This course offers integrated just-in-time Intermediate Algebra support. Mathematics will be applied to solving practical problems in a variety of disciplines, enhanced by algebraic content and technology skills. Mathematical topics include voting theory, financial mathematics, linear programming, identification numbers, and statistics. Additional topics may include fair division. This course is for non-STEM disciplines only and thus cannot be used to satisfy the Precalculus Mathematics Plus (MAT 155P) or Precalculus Mathematics (MAT 155) prerequisite for Calculus I (MAT 243). Approved to be offered online during Winter/Summer.

4.000 Credit hours
4.000 Other hours

Levels: Undergraduate
Schedule Types: Lecture, Lecture and Lab, Online

Mathematical Sciences Department

Course Attributes:
LAC T1M-Mathematics

MAT 139 - Number Systems
Number Systems
Prerequisite: MAT 101 Or Placement Or SAT 600+

A problem-solving approach is used in the study of sets and number systems. The natural numbers are extended to the integers, rations, and finally the reals. Topics include elementary number theory, non-decimal systems, numeration, and computational algorithms in the elementary school. The course is designed and intended for future elementary school teachers, emphasizing the content/method connection.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
GER IIIA-Mathematics, LAC T1M-Mathematics

MAT 139P - Number Systems Plus
Number Systems Plus
Prerequisites: Placement at this level or completion of MAT 099

A problem-solving approach is used in the study of sets and number systems. The natural numbers are extended to the rationals, integers, and finally the reals. Topics include elementary number theory, non-decimal systems, numeration, and computational algorithms in the elementary school. The course emphasizes the content/method connection. This course will integrate algebra topics covered on the Praxis II exam required for Elementary Education certification. The course is designed and intended for Elementary Education and Early Childhood Education students only and thus cannot be used to satisfy the Precalculus Mathematics Plus (MAT 155P) or Precalculus Mathematics (MAT 155) prerequisite for Calculus with Technology (MAT 243). Approved to be offered online during Winter/Summer.

4.000 Credit hours
4.000 Other hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
FPR Mathematics, LAC T1M-Mathematics

MAT 140 - Geometry/Prob for ELE Teach
Geometry and Probability for Elementary school Teaching
Prerequisite: MAT 139

This course is designed and intended for future elementary school teachers, emphasizing the content/method connection. This is the second part of the MAT 139/MAT 140 sequence required for every elementary teacher candidate both at the undergraduate and graduate certification levels. This course is built around the elementary school mathematics content areas as outlined in the Common Core State Standards (CCSS), particularly Measurement and Data, Geometry (including coordinate and transformation), and Statistics and Probability.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture, Online

Mathematical Sciences Department

MAT 155 - Precalculus Mathematics
Precalculus Mathematics
Prerequisite: Placment at this level

Topics include the study of functions, domain and range, building new functions through algebraic operations, composition of functions, and inverse functions. The course will also include the study of families of functions such as polynomial, rational, radical, exponential, logarithmic, and trigonometric functions. Specifically, students are expected to gain an understanding of algebraic notation, expressions, equations, inequalities and their use in describing and interpreting relationships, functions and function notation, proportional and inversely proportional relationships, and applications of periodic phenomena and trigonometric identities. The use and mastery of graphing technology is an essential aspect of the course. The course is designed for students majoring in STEM disciplines. May also be useful to other quantitative disciplines.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
FPR Mathematics, LAC T1M-Mathematics

MAT 155P - Precalculus Mathematics Plus
PreCalculus Mathematics Plus
Prerequisite: Placement at this level or completion of MAT 099

This course offers integrated just-in-time Intermediate through college algebra support. Topics include the study of functions, domain and range, building new functions through algebraic operations, composition of functions, and inverse functions. The course will also include the study of families of functions such as polynomial, rational, radical, exponential, logarithmic, and trigonometric functions. Specifically, students are expected to gain an understanding of algebraic notation, expressions, equations, inequalities and their use in describing and interpreting relationships, functions and function notation, proportional and inversely proportional relationships, and applications of periodic phenomena and trigonometric identities. The use and mastery of graphing technology is an essential aspect of the course. The course is designed for students majoring in STEM disciplines. May also be useful to other quantitative disciplines.

5.000 Credit hours
5.000 Other hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
FPR Mathematics, LAC T1M-Mathematics

MAT 195 - Calculus I for BUS, BIS, & ECO
Calculus I for Business and Economics
Prerequisite: Placement at this level, MAT 099, or SAT 510+

This course blends topics form Precalculus and Calculus, focusing specifically on the skills and applications necessary to support students' majoring in Business or Economics. This course offers just-in-time algebra support. Precalculus topics include the study of functions, domain and range, polynomial, rational, radical, exponential, and logarithmic functions.Calculus topics include an introduction to limits and continuity, rates of change, the definition of the derivative, and techniques of differentiation of linear, polynomial, exponential, logarithmic, and rational functions. The course will include applications of the derivative to solve applied problems in the fields of business and economics. Characteristics of functions such as intervals of increase or decrease, concavity, extrema, and end behavior will be studied as a means to describe, reason, interpret and analyze relationships. The course concludes with an introduction to integration. Use of an approved graphing calculator is required thoughout the course. This course is intended for students majoring in Business or Economics and cannot be substituted for MAT 243 Calculus I with technology.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Laboratory, Lecture

Mathematical Sciences Department

Course Attributes:
LAC T1M-Mathematics

MAT 1XX - Mathematics Elective
Mathematics Elective
Prerequisite: Transfer Credit Evaluation Only



0.500 TO 6.000 Credit hours

Levels: Undergraduate
Schedule Types: Lecture

MAT 203 - Statistical Decisions Society
Statistical Decisions In Society
Prerequisite: MAT 101 Or SAT 600+

Note: Students needing statistics as a practical tool should select MAT 215. An examination of the nature and use of statistics in society. Emphasis is placed on careful analysis of data using graphs and numerical measures, and on the study of chance variation of sample averages and percentages. Students will draw inferences from real data sets.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
GER IA-Inquiry and Analysis

MAT 216 - Statistical Data Analysis
Statistical Data Analysis
Prerequisite: LAC student with T1M or GER student with IIIA or SAT 550+

Multidisciplinary, data-driven course in applied statistics. Topics selected from exploratory data analysis (tables, graphs, central tendency and variation), correlation and regression, probability and statistical inference (confidence intervals and hypothesis testing). Emphasis placed on interpretation and analysis of real-data sets. Use of statistical computing software is integral to the course.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture, Lecture With Increased Credits

Mathematical Sciences Department

Course Attributes:
CSUS Common Course, GER IA-Inquiry and Analysis, LAC T2IT-Applied Info Tech

MAT 217 - Statistics for Liberal Studies
Statistics for Liberal Studies

Prerequisites: Completion of T1M requirement

Introduction to concepts and techniques for collecting, analyzing, interpreting, and drawing conclusions from data. Emphasis placed on concepts used in educational measurement and educational research. Course topics selected from exploratory data analysis, correlation and regression, probability and statistical inference. Data-based projects related to each of the four concentrations within the Liberal Studies major are integral to the course and require use of statistical/spreadheet software or graphing calculators.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 230 - Discrete Structures
Discrete Structures
Prerequisite: MAT 130 or Placement at this level

A study of discrete structures including sets, relations, functions, graphs, trees, and networks, with some applications (such as modeling or designing data structures). Other topics include propositional and predicate logic, methods of proof (for example direct, indirect, induction), an introduction to permutations and combinations, iteration, recursion, and finite differences. Students will be introduced to writing formal proofs.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
GER IIIA-Mathematics

MAT 243 - Calculus I with Technology
Calculus I with Technology
Prerequisite:MAT 155/155P or Placement at this level

A first course in calculus with a focus on differential calculus. Topics include the study of limits, continuity, rates of change, the definition of the derivative, indeterminate forms, and techniques of differentiation of linear, polynomial, exponential, logarithmic, rational, and trigonometric functions. The course will include applications of the derivative to solve applied problems. Characteristics of functions such as intervals of increase or decrease, concavity, extrema, and end behavior will be studied as a means to describe, reason, interpret, and analyze relationships. The course concludes with an introduction of antiderivatives. Use of an approved graphing calculator is required throughout the course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture, Online

Mathematical Sciences Department

Course Attributes:
GER IIIA-Mathematics, LAC T1M-Mathematics

MAT 244 - Calculus II with Technology
Calculus II with Technology
Prerequisite: MAT 243

This is the second course in a three semester calculus sequence. MAT 244 focuses on two related topics: methods and applications of integration, and infinite series and representation of functions by power series. Topics in integration include Riemann sums, definite and indefinite integrals, the Fundamental Theorem of Calculus, applications to geometry (area, volume, arc length) and to real-life problems, and techniques or integration. The course concludes with the study of sequences and series, convergence tests, and power series representation of functions (Taylor series). Use of an approved graphing calculator is required throughout the course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture, Online

Mathematical Sciences Department

MAT 299 - Praxis II Preparation

2.000 Credit hours
2.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 2XX - Mathematics Elective
Mathematics Elective
Prerequisite: Transfer Credit Evaluation Only



0.500 TO 6.000 Credit hours

Levels: Undergraduate
Schedule Types: Lecture

MAT 303 - Mathematics For Poets
Mathematics For Poets
Prerequisites: Note: PHI 120 is recommended.

The role of mathematics in Western civilization, examined through its contributions to philosophy, religion, music, art, and aesthetics. The course is primarily noncomputational, emphasizing the underlying nature of mathematics.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
GER IC1-Cultural Traditions 1

MAT 310 - Applied Linear Algebra
Applied Linear Algebra
Prerequisites: MAT 230, MAT 243, MAT 244

This course covers systems of linear equations and matrix algebra with emphasis on applications. Topics include systems of linear equations and their solutions, matrices and matrix algebra, determinants and inverse matrices, vector spaces and subspaces, linear independence, bases for vector spaces, dimension, linear transformations, inner products, orthogonal bases and projections, eigenvalues and eigenvectors. Possible areas of applications include graph theory, coding and curve fitting. Use of technology is integral to the course.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 315 - Appl Probability & Statistics
Applied Probability And Statistics
Prerequisite: MAT 244

This course covers applied probability and statistics (both descriptive and inferential), including random variables and their distributions, and applications of standard statistical techniques. Descriptive statistics include appropriate graphic displays, measures of center and variability, correlation and regression as well as proportions and analysis of two-way tables. Significance tests include t-tests and chi-square tests. The role of historical figures in the development of probability and statistics (e.g. Bayes, Bernoulli, Gauss, Pearson, Tukey) is discussed. Focus will be on a concept development (including simulation and derivation), and analysis and interpretation of real data. Analysis/ computation is facilitated by statistics and mathematics software. A data-based research project culminating in a technical report is an integral component to the course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
Middle Level Writing Intensive

MAT 320 - Number Theory
Number Theory
Prequisite: MAT 230

This course covers a range of ideas from number theory, starting with the division algorithm, modular arithmetic, and divisibility tests. Further topics include the extended Euclidean algorithm, the Fundamental Theorem of Arithmetic, the Chinese Remainder Theorem, Wilson's Theorem, Fermat's Little Theorem, the Euler phi-function, the existence of primitive roots, the theory of indices, and the study of the group integers mod n. Students will be required to write formal proofs.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 340 - Calculus III with Technology
Calculus III with Technology
Prerequisite: MAT 244

This course is the final course in a three-semester calculus sequence. This course covers differential, integral, and vector calculus for functions of more than one variable and their applications. Topics include vectors in two and three dimensions, parametric curves, partial derivatives, and multiple integration including change of variables. The use of technology (Maple or Mathematica) is required throughout the course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 341 - Differential Equations
Differential Equations
Prerequisite: MAT 244

Methods of solution of ordinary differential equations; applications in mathematics and science.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 342 - Explorations in Data Science
Explorations in Data Science
Prerequisites: MAT 216 OR 315

This course provides and introduction to the interdisciplinary field of data science. The emergence of massive datasets from diverse areas such as telecommunications, large-scale retailing, astronomy,sports, medicine and social media provide the primary impetus for the field. This course will emphasize practical techniques that inlcude cleaning and transforming data, exploring/ analyzing data, statistical inference, creation of statistical models, and communicating results. R programming language will be used for data manipulation, visualization, and analysis.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 345 - Optimization
Optimization
Prerequisites: MAT 243

This course is intended for undergraduate students who have taken a one year course in calculus. The course is an introduction of optimization techniiques in Management Science. The core topics in this course are: Linear programming (graphic solutions), Linear programming (computer solutions), Integer programming, and Nonlinear programming. Emphasis will be placed on modeling and computer solutions.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 350 - Numerical Analysis
Numerical Analysis
Prerequisites: CSC 210 Or CSC 231 and MAT 244

Computer solution of problems of interpolation, approximation, numerical integration, polynomial and differential equations and systems of linear equations.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 353 - Introduction To Wavelets
Introduction To Wavelet Theory And Applications
Prerequisite: Mat 244; CSC 110 or CSC 131

MAT/CSC 353 is an introductioncourse to the most recently developed wavelet theory and applications by using real world examples and computer assisted visualization. The primary audience is student with interests in engineering, applied mathematics and statistics.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 355 - Probability
Probability
Prerequisite: MAT 315

This course is a comprehensive introduction to the major ideas of probability, such as independence, conditional probability, mean and variance, and counting techniques. We will consider a range of probability distributions and their properties, including boht discrete and continuous univariate probability distributions such as the uniform, binomial, geometric, Poisson, normal, and exponential distributions. We will also consider multivariate probability distributions. Applicaitons to the insurance industry are emphasized throughout the course.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 356 - Financial Mathematics
Financial Mathematics
Prerequisite: MAT 244

This course is a comprehensive introduction to the major ideas of financial mathematics, such as the time value of money, annuities and cash flows, loans, bonds, cash flows, portolios, immunization, interest rate swaps, and determination of interest rates. Applications ot the insurance industry are emphasized throughout the course.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 360 - Topics In Mathematics
Topics In Mathematics
Prerequisite: Consent of Instructor

Note: Can be taken more than once for credit.
The treatment of special topics in mathematics and their adaptation in various types of mathematics problems. Emphasis is on the development of the basic concepts in each topic.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 362 - Adv Math Elem School Teaching
Advanced Mathematics for Elementary School Teaching
Prerequisite: MAT 244
Corequisite: MAT 310 and MAT 315

Students will investigate mathematical topics in the elementary school curriculum from an advanced viewpoint. The course will integrate advanced mathematical thinking from Calculus, Geometry, Algebra, Discrete Mathematics, and Probability and Statistics with the mathematical content typically taught at the elementary level. This course is intended for Liberal Studies majors. Unless students are double Mathematics and Elementary Education majors, this course will not count as a Mathematics elective.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 365 - Praxis Topics
Praxis Topics


3.000 Credit hours
3.000 Other hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 370 - Operations Research
Operations Research
Prerequisites: MAT 315, CSC 210 or 231

Mathematical models, linear programming, queuing theory, computer simulation, game theory, and other topics as time permits.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 371 - Explorations in Graph Theory
Explorations in Graph Theory
Prerequisite: MAT 230

Graph Theory is in a branch of discrete mathematics. The graphs we will consider in this course consist of a set of vertices and a set of edges which are unordered pairs of vertices. These graphs can be model social networks, maps scheduling problems, efficient delivery routes games, puzzles,and much more. We will answer questions such as: What is a graph? What are some properties of trees? When can a graph be drawn so that no edges cross? How can we color the vertices of graphs so that vertices connected by an edge receive different colors? How many colors do we need to color a graph? Is there a way to "walk" around the graph visiting every vertex exactly once without repeating edges?

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Seminar

Mathematical Sciences Department

MAT 372 - Adv Math High School Teaching
Advanced Mathematics For High School Teaching
Prerequisite: MAT 230, 244, 315 and 380; and one course from: MAT 310, 340 400, 420

Students will investigate secondary mathematical topics from an advanced viewpoint. The course will integrate advanced mathematical thinking from Calculus, Geometry, Algebra, Discrete Mathematics, and Probability and Statistics with the mathematical content typically taught at the secondary level.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
LAC T3-LiberalArts Experience

MAT 373 - Explorations-Math Bio
Explorations in Mathematical Biology
Prerequisite: MAT 243

This course is designed to introduce students to college- level knowledge in Mathematical Biology. It includes the formulation, analysis, solution and interpretation of mathematical models in biology, ecology, pharmacology, microbiology, epidemiology, medicine and physiology. Model analysis will require the use of software such as Maple. The course will divide into three parts: mathematical techniques, applications and multidisciplinary research. Techniques: Introduction to Differntial Equations, Difference Equations and Statistics. Mathematical and Statistics. Mathematical and Statistical Analysis of Model Equations
Applications: Population Dynamics, Stem Cells, Concentration of DNA, RNA Reaction Kinetics, Gene Networks and Regulation, Viral and Immune System Dynamics, Network Analysis.
Multidisciplinary Research: Apply techniques learned to an applied problem that will require at least some mathematics, computer science and biology.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 374 - Explorations in Topic
Explorations in Topic
Prerequisites: MAT 230 and MAT 244

Each exploration course will focus on an advanced topic in mathematics. The course will provide students with experiences and background that will be helpful if they choose to pursue undergraduate research projects. Possible activities will include but are not limited to group work, projects,portfolios, research, or other activities in line with undergraduate research. Note: Can be taken with different topics up to 5 times for credit.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Seminar

Mathematical Sciences Department

MAT 375 - Math Astronomy/Astrophysics
Mathematical Astronomy And Astrophysics
Prerequisite: None

Mathematical problems in cosmology, astrophysics, and celestial mechanics.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 380 - Geometry
Geometry
Prerequisite: Math 230

This course offers a rigorous development of the core concepts and principles of geometry with an emphasis on proof and extensive problem solving. Topics include: axioms of Euclidean geometry, basic figures in two- and three- dimensions and their classification, congruence criteria for triangles, relationships between sides and angles in a triangle, parallel lines, the parallel postulate and its implications, basic properties of non-Euclidean geometry in two dimentsions (hyperbolic and spherical), basic constructions in the plane, similarity, right triangles and trigonometry, the Pythagorean theorem and other algebraic relationships in triangles, plane transformations and symmetry, area and volume of two and three dimensional figures. Geometry software is used as a technology tool for visualization and exploration in the plane.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 390 - Explorations in Knot Theory

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 395 - History of Mathematics
History of Mathematics
Prerequisite: MAT 380
Pre or Corequisite: MAT 320

This course studies the development of mathematics through various periods, civilizations and cultures around the world. Students will follow the historical arguments and will use tools available to specfic time periods. Among the areas of mathematics discussed in this course are number theory, geometry and trigonometry, calculus, statistics and probability, discrete mathematics, anlysis and algebra. Students will gain a deeper understanding of these topics by studying the evolution of ideas and the context in which these ideas were developed, leading to their current forms.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 3XX - Mathematics Elective
Mathematics Elective
Prerequisite: Transfer Credit Evaluation Only



0.500 TO 6.000 Credit hours

Levels: Undergraduate
Schedule Types: Lecture

MAT 400 - Abstract Algebra
Abstract Algebra
Prerequisites: MAT 310, MAT 320, and MAT 380

This course covers modern algebraic structures with a focus on group theory and ring theory. Topics include introduction to groups, permutations and the symmetric group, types of groups including cyclic and symmetry groups, subgroups, quotient, homomorphisms and isomorphisms, cosets and Lagrange's Theorem. Following a careful study of groups, students will explore the basic concepts in ring theory.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 420 - Real Analysis I
Real Analysis I
Prerequisites: MAT 230, 244, 315 and(MAT 320 or 380)

A rigorous study of the real number system including the well-ordering property, the completeness axiom, the Archimedian property, the topology of the real numbers (open, closed, compact sets), Heine-Borel and Bolzano- Weierstrass theorems, number sequences, limits, convergence tests, including the nonotone convergence theorem, Caunchy sequences, subsequences, lipsup and liminf for sequences, limits and continuity of real functions, and properties of continuous functions. This course fulfills the University's requirement for an upper-division, writing- intensive course.

4.000 Credit hours
4.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
Writing Intensive

MAT 421 - Real Analysis II
Real Analysis II
Prerequisite: MAT 420; and LAC student with a least two Tier II courses or GER Student

A study of the theory of differentiation, infinite series, integration, uniform convergence, and metric spaces.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

Course Attributes:
LAC T3-LiberalArts Experience

MAT 422 - Advanced Topics In Analysis
Advanced Topics In Analysis
Prerequisite: MAT 420

Selections from the following: measure and integration, a rigorous introduction to the theory of probability, abstract spaces, and various kinds of differentiation.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 440 - Topology
Topology
Prerequisite: None Co-requisite: MAT 420

A study of the basic notions of point-set topology, bases and sub-bases, continuity, topological equivalence, countability, separation axioms, compactness, product spaces, connectedness, completeness, and function spaces.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 450 - Complex Variables
Complex Variables
Prerequisite: MAT 420

Complex numbers, analytic functions, integration and differentiation of functions of a complex variable, Cauchy's integral theorem, power series.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematical Sciences Department

MAT 480 - Independent Studies
Independent Studies
Prerequisite: Approval of Department Chairperson and Dean



1.000 TO 6.000 Credit hours
1.000 TO 6.000 Other hours

Levels: Undergraduate
Schedule Types: Independent Study

Mathematical Sciences Department

MAT 490 - Internship In College Teaching
Internship In College Teaching
Prerequisite: Consent of Instructor

By invitation only. Can be taken more than once for credit. Graded on a credit/no credit basis.

1.000 TO 6.000 Credit hours
2.000 TO 12.000 Other hours

Levels: Undergraduate
Schedule Types: Internship

Mathematical Sciences Department

MAT 491 - Practicum:Mathematics Tutoring
Practical Experi.In Devel & Deliver.Of Math Intervention
Pre-req: Department Permission Required

This course offers practical experience in the development and deliverance of math intervention through tutoring 7th and 8th grade students at Windham Middle School.

1.000 Credit hours
2.000 Other hours

Levels: Undergraduate
Schedule Types: Field Instruction

Mathematical Sciences Department

MAT 492 - Internship

1.000 TO 6.000 Credit hours
1.000 TO 6.000 Other hours

Levels: Undergraduate
Schedule Types: Internship

Mathematical Sciences Department

MAT 495 - Field Experiences

1.000 TO 3.000 Credit hours
2.000 TO 6.000 Other hours

Levels: Undergraduate
Schedule Types: Field Instruction

Mathematical Sciences Department

MAT 4XX - Mathematics Elective
Mathematics Elective
Prerequisite: Transfer Credit Evaluation Only



0.500 TO 6.000 Credit hours

Levels: Undergraduate
Schedule Types: Lecture


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