Summer Session

AMS 102: Elements of Statistics

Undergraduate 3 credits

Prerequisite: Satisfaction of entry skill in mathematics requirement (Skill 1) or satisfactory compl etion of D.E.C. C or QPS; Non AMS majors only Anti-requisite: May not be taken by students with credit for AMS 110 or AMS 310.

DEC: C SBC: QPS

The use and misuse of statistics in real life situations; basic statistical measures of central tendency and of dispersion, frequency distributions, elements of probability, binomial and normal distributions, small and large sample hypothesis testing, confidence intervals, chi square test, and regression. May not be taken by students with credit for AMS 110, 310, 311, 312; ECO 320; POL 201; PSY 201; or SOC 202. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

AMS 104: Spreadsheet Technology

Undergraduate 3 credits

Prerequisite: Level 2+ or higher on the mathematics placement examination or MAT 123 or higher

SBC: QPS; TECH

Spreadsheets are a critically important tool in many careers, particularly in quantitative fields. This course explores how to use spreadsheets and how to use them to model real-world situations, such as project management, optimization, budgeting, finance, and more.

AMS 110: Probability & Stat Life Scienc

Undergraduate 3 credits

Prerequisite: AMS 151 or MAT 125 or 131. Anti-requisite: May not be taken by students with credit for AMS 102 or AMS 310

SBC: QPS

A survey of probability theory and statistical techniques with applications to biological and biomedical situations. Topics covered include Markov chain models; binomial, Poisson, normal, exponential, and chi square random variables; tests of hypotheses; confidence intervals; tests; and analysis of variance, regression, and contingency tables. May not be taken for credit in addition to AMS 310. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

AMS 151: Applied Calculus I

Undergraduate 3 credits

Prerequisite: B or higher in MAT 123 or level 5 on the mathematics placement examination

DEC: C SBC: QPS

A review of functions and their applications; analytic methods of differentiation; interpretations and applications of differentiation; introduction to integration. Intended for CEAS majors. Not for credit in addition to MAT 125 or 126 or 131 or 141 or 171. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

AMS 161: Applied Calculus II

Undergraduate 3 credits

Prerequisite: C or higher in AMS 151 or MAT 131, or level 7 on the mathematics placement examination

DEC: C SBC: QPS

Analytic and numerical methods of integration; interpretations and applications of integration; differential equations models and elementary solution techniques; phase planes; Taylor series and Fourier series. Intended for CEAS majors. Not for credit in addition to MAT 127, MAT 132, MAT 142, or MAT 171. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

AMS 210: Applied Linear Algebra

Undergraduate 3 credits

Prerequisite: AMS 151 or MAT 131 or corequisite MAT 126 or level 7 or higher on the mathematics plac ement exam

SBC: STEM+

An introduction to the theory and use of vectors and matrices. Matrix theory including systems of linear equations. Theory of Euclidean and abstract vector spaces. Eigenvectors and eigenvalues. Linear transformations. May not be taken for credit in addition to MAT 211.

AMS 261: Applied Calculus III

Undergraduate 4 credits

Prerequisite: AMS 161 or MAT 127 or 132 or MPE level 9

SBC: STEM+

Vector algebra and analytic geometry in two and three dimensions; multivariable differential calculus and tangent planes; multivariable integral calculus; optimization and Lagrange multipliers; vector calculus including Green's and Stokes's theorems. May not be taken for credit in addition to MAT 203 or 205.

AMS 300: Writing in Applied Mathematics

Undergraduate 1 credit

Prerequisites: WRT 102; AMS major; U3 or U4 standing

SBC: SPK; WRTD

See Requirements for the Major in Applied Mathematics and Statistics, Upper Division Writing Requirement.

AMS 301: Finite Mathematical Structures

Undergraduate 3 credits

Prerequisite: AMS 210 or MAT 211 or AMS 361 or MAT 303

SBC: STEM+

An introduction to graph theory and combinatorial analysis. The emphasis is on solving applied problems rather than on theorems and proofs. Techniques used in problem solving include generating functions, recurrence relations, and network flows. This course develops the type of mathematical thinking that is fundamental to computer science and operations research.

AMS 310: Survey of Probability and Stat

Undergraduate 3 credits

Prerequisite: AMS 161 or MAT 132 or MAT 127

SBC: STEM+

A survey of data analysis, probability theory, and statistics. Stem and leaf displays, box plots, schematic plots, fitting straight line relationships, discrete and continuous probability distributions, conditional distributions, binomial distribution, normal and t distributions, confidence intervals, and significance tests. May not be taken for credit in addition to ECO 320. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

AMS 311: Probability Theory

Undergraduate 3 credits

Prerequisites: AMS 301 and 310 or permission of instructor Corequisites: MAT 203 or AMS 261

Probability spaces, random variables, moment generating functions, algebra of expectations, conditional and marginal distributions, multivariate distributions, order statistics, law of large numbers.

AMS 315: Data Analysis

Undergraduate 3 credits

Prerequisite: AMS 310

SBC: CER; ESI

A continuation of AMS 310 that covers two sample t-tests, contingency table methods, the one-way analysis of variance, and regression analysis with one and multiple independent variables. Student projects analyze data provided by the instructor and require the use of a statistical computing package such as SAS or SPSS. An introduction to ethical and professional standards of conduct for statisticians will be provided.

AMS 318: Financial Mathematics

Undergraduate 3 credits

Prerequisite: AMS 310

SBC: WRTD

This course will focus on accumulation functions, yield rates, annuities, loan repayment, term structure of interest rates/spot rates/forward rates, options, duration/convexity. This course follows the syllabus for the Financial Mathematics (FM) Exam of the Society of Actuaries and prepares students to pass the FM Exam.

AMS 325: Comp & Prog Fundamental in AMS

Undergraduate 3 credits

Prerequisite: AMS 210 or MAT 211; AMS major NOTE: not for AMS2MAJ. Those students should contact the AMS dept.

Introduction to programming in MATLAB and Python, including scripting, basic data structures, algorithms, scientific computing, and software engineering. Homework projects will focus on using computation to solve linear algebra, data analysis, and other mathematical problems.

AMS 326: Numerical Analysis

Undergraduate 3 credits

Prerequisites: CSE 101; AMS 161; basic skills in using a high-level programming language (C, C++, or Java). Advisory prerequisite: AMS 210

Direct and indirect methods for the solution of linear and nonlinear equations. Computation of eigenvalues and eigenvectors of matrices. Quadrature, differentiation, and curve fitting. Numerical solution of ordinary and partial differential equations. May not be taken for credit in addition to CIV 350 or MEC 320.

AMS 335: Game Theory

Undergraduate 3 credits

Prerequisites: MAT 126 or 131 or AMS 151; C or higher in ECO 303

SBC: SBS+

Introduction to game theory fundamentals with special emphasis on problems from economics and political science. Topics include strategic games and Nash equilibrium, games in coalitional form and the core, bargaining theory, measuring power in voting systems, problems of fair division, and optimal and stable matching. This course is offered as both AMS 335 and ECO 355.

AMS 341: Op Rsrch I: Determinist Models

Undergraduate 3 credits

Prerequisites: AMS 210 or MAT 211 or MAT 307 and MAT 308

SBC: SBS+

Linear programming with a view toward its uses in economics and systems analysis. Linear algebra and geometric foundations of linear programming; simplex method and its variations; primal dual programs; formulation and interpretation of linear programming models, including practical problems in transportation and production control. Optional computer projects. AMS 341 and 342 may be taken in either order, though it is recommended that AMS 341 be taken first. Not for credit in addition to EST 342.

AMS 351: Applied Algebra

Undergraduate 3 credits

Prerequisite: C or higher in AMS 210 or MAT 211 or MAT 220 or MAT 308 Advisory Prerequiste: MAT 200 or CSE 250 or equivalent

Topics in algebra: groups, informal set theory, relations, homomorphisms. Applications: error correcting codes, Burnside's theorem, computational complexity, Chinese remainder theorem. This course is offered as both AMS 351 and MAT 312.

AMS 361: Applied Calculus IV: Diff Equ

Undergraduate 4 credits

Prerequisite: AMS 161 or MAT 127 or 132 or MPE level 9

SBC: STEM+

Homogeneous and inhomogeneous linear differential equations; systems of linear differential equations; solution with power series and Laplace transforms; partial differential equations and Fourier series. May not be taken for credit in addition to the equivalent MAT 303.

AMS 394: Statistical Laboratory

Undergraduate 3 credits

Prerequisite: AMS 310 or AMS 315

SBC: CER; ESI; EXP+

Designed for students interested in statistics and their applications. Basic statistical techniques including sampling, design, regression, and analysis of variance are introduced. Includes the use of statistical packages such as SAS and R. Students translate realistic research problems into a statistical context and perform the analysis.