University of Virginia's College at Wise · Courses
MTH
35 courses with the subject MTH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MTH 1010College Algebra3
Credit(s) 3 Linear, quadratic, absolute value, radical, and rational equations, linear inequalities, systems of linear equations and inequalities, functions, modeling and applications. (No credit is given for this course if a student has satisfactorily completed MTH 1110 or above).
Credit(s) 3 MTH 1050 is a project-based course designed to provide students the opportunity to apply the mathematics they already know to real world problems. Topics include the mathematics of: budgeting and personal finance; diet and exercise; cost of living; mortgages and loans; opening a small business; constructing scale diagrams and models; and place based learning. This course is intended for students whose majors do not require pre-calculus or statistics. Prerequisites MTH 1010 or MTH 1110
Credit(s) 3 Mathematical models; linear and quadratic functions, models, and applications; polynomial and rational functions and models; composite functions; inverse functions; exponential and logarithmic equations, functions and models; financial models; exponential growth and decay; and logistic growth and decay models. (This course is designed for students whose major requires precalculus or calculus.) Prerequisites MTH 1010 with a C or better
Credit(s) 1 Writing and solving systems of equations using matrices. Matrix algebra, finding matrix inverses and using matrix inverses to solve systems. Computing determinants of matrices using cofactors and properties of determinants. Finding eigenvalues and eigenvectors. Prerequisites MTH 1110 with a C or better
Credit(s) 3 Describing data with graphs and numerical measures; linear regression and correlation; rules of probability; random sampling; binomial and normal distributions; confidence intervals; and hypotheses testing. Prerequisites MTH 1010 or MTH 1110
Credit(s) 3 Degree and radian measures; arc length and sector area; trigonometric functions on triangles and on the unit circle; trigonometric graphs; trigonometric equations and identities; laws of sines and cosines. Applications are heavily emphasized. Prerequisites MTH 1110 with a C or better
Credit(s) 3 An application-oriented study of Euclidean geometry for students whose interests are in teaching PreK-6. Topics that will be emphasized include: measurement, foundations of geometry, triangles, parallel lines, polygons, circles, area and volume, and solid geometry. (MTH 2010 does not satisfy the Liberal Arts Core requirement or count toward a major or minor in mathematics.) Prerequisites Completion of 6 hours Liberal Arts Core mathematics credits with grade of C or better.
Credit(s) 3 A study of topics from the foundations of early-education mathematics, with emphasis on problem solving. Topics include: elementary arithmetic, steps in problem solving; elementary number theory; teaching techniques for topics in the elementary school math classroom. (MTH 2020 does not satisfy the Liberal Arts Core requirement or count toward a major or minor in mathematics.) Prerequisites Completion of 6 hours Liberal Arts Core mathematics credits with grade of C or better.
Credit(s) 1 A study of the mathematical topics for those seeking licensure for teaching PreK-6. Emphasis will be on content covered in grades 6-8. Methods of teaching mathematics to include middle school math content will be investigated. Topics to include: ratios, proportions, similar triangles, special triangles, trigonometric functions, patterns, arithmetic and geometric sequences and series, Venn diagrams. Prerequisites MTH 2010 or MTH 2020 and EDU 2510
Credit(s) 3 An introduction to the essentials of calculus needed to solve real-world problems in business, natural and social sciences; limits, elementary differential and integral calculus of algebraic, exponential, and logarithmic functions. Prerequisites MTH 1110 with grade of C or better.
Credit(s) 4 Limits and continuity; differentiation of algebraic, exponential, logarithmic and trigonometric functions; derivative as a rate of change; maxima and minima; applications; antiderivatives. Prerequisites MTH 1210 with a C or better
Credit(s) 4 Integration of algebraic, exponential, logarithmic, and trigonometric functions; arc length; areas; volumes; improper integrals; parametric equations; polar coordinates. Prerequisites MTH 2040 with a C or better
Credit(s) 3 Numerical descriptive measures, basics of probability, sampling and sampling distributions, the normal distribution, confidence intervals and hypothesis tests for one and two samples, ANOVA, Chi-Square tests, multiple linear regression. Use of R statistical software. Cross-listed with STA 2180 . Prerequisites MTH 1110 with a C or better
MTH 3030Introduction to Linear Algebra with Applications3
Credit(s) 3 An application oriented study of linear algebra for non-math majors. Topics that will be emphasized include: systems of equations; subspaces; linear dependence and independence; linear transformations; matrices and matrix algebra; determinants; and eigenvalues and eigenvectors. (Students cannot receive credit for both MTH 3030 and MTH 3130 ). Prerequisites MTH 2030 or MTH 2040 with a C or better
Credit(s) 3 An application oriented study of the history of mathematics for students whose interests are in teaching K-8. Emphasis is given to mathematicians and their contributions with a focus on various applications of their work. (MTH 3050 does not count toward a major or minor in mathematics.) Prerequisites MTH 2030 or MTH 2040 with a C or better
Credit(s) 4 Infinite sequences and series; lines and planes in space; vector valued functions; functions of several variables; partial derivatives; directional derivatives; gradients; maxima and minima; curvature. Prerequisites MTH 2050 with a C or better
Credit(s) 3 Writing mathematical proofs. Exercises in set theory, number theory. Includes set operations, induction, the Fundamental Theorem of Arithmetic, relations, functions, and equivalence relations. Prerequisites MTH 2050 with a C or better
Credit(s) 3 A study of ordinary differential equations including classification and solution methods for first order linear equations, first order nonlinear separable equations, second order and higher linear equations with constant coefficients, and systems of first order linear equations. Some theory and applications are included. Prerequisites MTH 2050 with a C or better and either MTH 1130 or MTH 3030 with a C or better
Credit(s) 3 The history and development of Euclidean and non-Euclidean geometries. The axiomatic method and techniques of proof are emphasized. Prerequisites MTH 3100 with a C or better
Credit(s) 3 Vector spaces; subspaces; linearly dependent and independent subsets; linear transformations; matrices; diagonalization; orthogonalization and inner product spaces. (Students cannot receive credit for both MTH 3030 and MTH 3130). Prerequisites MTH 1130 and MTH 2040 , both with a C or better
Credit(s) 3 Unique factorization theorem; linear Diophantine equations; linear congruences; Fermats and Wilsons theorems; divisors of an integer; perfect numbers; Eulers theorem; numbers of other bases; quadratic congruences and reciprocity. (A course of interest and benefit to prospective teachers of mathematics.) Prerequisites MTH 3100 with a C or better
Credit(s) 3 Methods in enumeration; discrete and continuous random variables; conditional and independent probability; mathematical expectation; mean, variance and standard deviation; principal distributions; and moment generating functions. Prerequisites MTH 2050 with a C or better
Credit(s) 3 Groups; cyclic groups; normal subgroups; Lagranges theorem; permutation groups; group homomorphisms; Cayleys theorem; elementary theory of rings and fields. Prerequisites MTH 3100 with a C or better
Credit(s) 3 The theory and techniques of numerical computation including root finding, numerical integration, interpolation, solutions of systems of equations, and methods of solving ordinary differential equations. Practice in the use of modern computers and programming. (Cross-listed with CSC 3380 .) Prerequisites CSC 1010 or CSC 1180 and MTH 2050 , both with a C or better
Credit(s) 3 Geometry of Euclidean space, cylindrical and spherical coordinate systems, functions from Rn to Rm; double and triple integrals; vector fields, divergence and curl; parametric equations of curves and surfaces; line and path integrals; surface integrals; and Green’s and Stoke’s theorems. Prerequisites MTH 3060 and either MTH 3030 or MTH 3130 , both with a C or better
Credit(s) 3 The real number system; sequences, convergence, and Cauchy criteron; continuous and differentiable functions; Mean Value Theorem; Taylor’s series; and Riemann integral. Prerequisites MTH 3100 with a C or better
Credit(s) 3 Central Limit Theorem; joint, marginal and conditional distributions; covariance; transformations of random variables; parametric and nonparametric two-sample hypothesis tests; parameter estimation; and confidence intervals. Prerequisites MTH 3250 with a C or better
Credit(s) 3 Ideal and factor rings; integral domains; ring homomorphisms; polynomial factorization; field extensions; Galosis theory. Prerequisites MTH 3350 with a C or better
Credit(s) 1 This course should be taken concurrently with (or following) an approved advanced mathematics course. Study of a topic related to the material in advanced course will be required along with completion of project in consultation with the instructor. The student will be required to present a summary of the project, both orally and in writing, demonstrating critical thinking and problem-solving ability. Prerequisites MTH 3060 with a C or better, Junior or Senior Status, declared major and approval of Department Chair.