27 courses with the subject MATH, 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.
This course examines the ways mathematics occurs and is used in the world. Patterns, codes, symmetry and mathematical modeling are topics that will be explored. The course is relevant for those students who do not intend to be mathematics or science majors. Credit(s): 3
This course is an intermediate study of the functions and mathematical principles needed for precalculus. Topics include analyzing, solving and graphing linear, polynomial, rational, exponential and logarithmic functions. Credit(s): 3
This precalculus course is for students continuing their study of mathematics. Topics include trigonometry, conics, non-Euclidean coordinates, basic principles of sums and series and other topics.
The study of algebraic, trigonometric, and exponential functions including limits, continuity, derivatives, and an introduction to integration along with their applications. Credit(s): 4
The study of algebraic, trigonometric, and transcendental functions including methods of integration, improper integrals, rectangular, polar, and parametric graphing, and power series along with their applications. Credit(s): 4
A study of elementary statistical methods, probability, estimation, test of hypothesis, regression, correlation and time series. Credit(s): 3
This course provides a rigorous introduction to probability and statistics including Kolmogorov’s axioms, discrete and continuous random variables, expectation, limit theorems, point estimates of parameters, confidence intervals, hypothesis tests on means and variances, data visualization, analysis of real-world data sets and use of statistical software. Additional topics such as Bayesian methods, multiple linear regression, ANOVA, time series analysis and moment generating functions may be included. Credit(s): 3
This course is concerned with structures of objects that can assume only distinct values, often characterized by integers. Combinatorics, graph theory, algorithms and recurrence relations are a part of this course. Credit(s): 3
A study of the mathematics behind work done by clinical health professionals. Topics include drug dosage calculations, measurement conversions, percent strength in solutions, mathematical modeling of the circulatory system via differential equations and how concentration of a drug in the bloodstream changes over time. Credit(s): 2
This course will introduce students to the mathematics necessary for digital image processing and teach students how to apply these mathematical ideas in practice. Students will investigate matrix algebra, logic and trigonometric functions as these concepts apply to image processing and storage. Credit(s): 3
Study of specific topics, issues or themes within the field of mathematics. Credit(s): 1, 2 or 3
The study of vector-valued functions, partial derivatives, multiple integrals, vector fields, and their applications. Credit(s): 4
This course provides an introduction to the theory of vector spaces, linear transformations, and matrices. Credit(s): 3
In this course, students will learn the fundamentals of probability theory and how probability is applied in the real world. This course will begin with basic theory such as sample spaces and the basic principle of counting, and advance to univariate and joint discrete probability distributions and finally univariate and joint continuous probability distributions. Credit(s): 3
Selected topics in Number Theory including divisibility. Euclidian algorithm, congruencies, residue classes, Euler’s Function, primitive roots, Chinese remainder theorem, quadratic residues, and Gaussian integers. Credit(s): 3
The study of the methods, theory and applications of differential equations including first order and linear second order equations, series solutions, and the Laplace transform. Credit(s): 3
Study of the development of mathematics from classical antiquity through the end of the 19th century. Focuses on the critical periods in the development of areas of mathematics such as equation solving, geometry, calculus, number theory and probability. Credit(s): 3
An introduction to numerical solutions to problems. Topics include solution of equations, interpolation and approximation of polynomials, numerical differentiation and integration, summation of series, and use of orthogonal polynomials. Assignments using a computer and mathematical software packages are important components of this course. Credit(s): 3
Selected topics in mathematics. Credit(s): 1, 2 or 3
This course will introduce students to principals of cryptography. It will combine lecture and workshop to give students an opportunity to understand important topics in cryptography such as public key cryptography and elliptic curve cryptography. Students will also learn appropriate computer implementations. Credit(s): 3
A study of sets, mappings and algebraic concepts such as groups, rings, integral domains and fields. Credit(s): 3
Examination of fundamental topics in geometry from an advanced viewpoint. The historical development of geometry and topics from Non-Euclidean geometry are included. Credit(s): 3
Real Analysis is the study of the theory behind calculus. Based on the development of the basic theorems of calculus, this course includes limits, continuity, differentiability, integrability, sequences and infinite series. Credit(s): 3
This course studies the complex variable, including analytic functions, Cauchy- Riemann equations, Cauchy’s Theorem, power series, residue theorem and conformal mapping. Credit(s): 3
This is a capstone course for the mathematics major. The student is expected to find an interesting mathematics topic to explore and pursue it in-depth. The student is expected to write up the results of this exploration in a research paper and do a presentation on the research as a part of this course. Credit(s): 2
This is a capstone course for the mathematics major. The student is expected to explore a mathematics topic and pursue it in-depth. The student is expected to write up the results of this exploration in a research paper as part of this course and to present their results to peers and interested faculty. Credit(s): 2
Study of specific topics, issues or themes within the field of mathematics. Credit(s): 1, 2 or 3
Source: Shenandoah University's catalog, linked per course · table learning_unit · CourseShelf publish 59
