Courses in Mathematics
MAS 099.
Presentation Attendance.
The aim of this course is exposure to mathematics beyond the classroom curriculum. The course requirement is attendance at a minimum of six formal presentations on mathematical topics given at conferences, colloquia or symposia at a minimum of two separate events (that is, a conference or event). Presentations should have a title and abstract and may be given by faculty or students; poster sessions do not count. 0 credits.
MAS 100.
Concepts of Mathematics.
A study of a variety of topics in mathematics. Many introduce 20th century mathematics and most do not appear in the secondary school curriculum. 3 credits.
MAS 102.
Pre-Calculus.
A review of precalculus mathematics including algebra and trigonometry. 3 credits. A student may not receive credit for this course after completing MAS 111, 161 or the equivalent.
MAS 111.
Analysis I.
A calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: placement testing or MAS 102. Corequisite; MAS 113. 4 credits.
MAS 112.
Analysis II.
Second semester of a calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: MAS 111. Corequisite: MAS 114. 4 credits.
MAS 113.
Introduction to Mathematical Thinking I.
An introduction to college mathematics for potential mathematical science majors. Prerequisite: placement testing or MAS 102. Corequisite: MAS 111, 112. 1 credit.
MAS 114.
Introduction to Mathematical Thinking II.
Second semester. Introduction to college mathematics for potential mathematical science majors. Prerequisite: placement testing or MAS 102. Corequisite: MAS 111, 112. 1 credit.
MAS 150.
Finite Mathematics.
Introduction to mathematical techniques used in quantitative analysis in business and economics. Topics include sets, linear relations, matrices, linear programming, probability and interest. 3 credits.
MAS 161.
Calculus I.
A calculus sequence covering functions, limits, differentiation, integration and applications. Prerequisite: placement testing or MAS 102. MAS 161 is a prerequisite for MAS 162. 3 credits per semester.
MAS 162.
Calculus II.
Second semester of a calculus sequence covering functions, limits, differentiation, integration and infinite sets. Prerequisite: MAS 161. 3 credits.
MAS 170.
Elementary Statistics.
An introduction to elementary descriptive and inferential statistics with emphasis on conceptual understanding. 3 credits. A student may not receive credit for MAS 170 after completing MAS 372. A student may not receive credit for both MAS 170 and MAS 270.
MAS 202.
Foundations of Mathematics.
Introduction to logic, set theory and proof techniques. Prerequisites: MAS 112 or MAS 162 and MAS 251. 3 credits.
MAS 222.
Linear Algebra.
An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. Prerequisite: MAS 112 or MAS 261. 3 credits.
MAS 251.
Discrete Mathematics.
Introduction to mathematical ideas used in computing and information sciences, logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. Prerequisite: MAS 112 or MAS 162. 3 credits.
MAS 261.
Calculus III.
Multivariate calculus including partial differentiation, multiple integration, vector fields and vector functions. Prerequisite: MAS 112 or MAS 162. 3 credits.
MAS 266.
Differential Equations.
An introduction to ordinary differential equations. Prerequisite: MAS 162 or 112. 3 credits.
MAS 270.
Intermediate Statistics.
A more advanced version of MAS 170 intended for students with some calculus background. Similar to MAS 170 with more extensive content. 3 credits. A student may not receive credit for both MAS 170 and MAS 270.
MAS 311.
Real Analysis.
Convergent and divergent series, limits, continuity, differentiability and integrability; Fourier series. Prerequisites: MAS 202, 222, 251. 3 credits.
MAS 322.
Abstract Algebra.
Introduction to algebraic structures including groups, rings and fields. Prerequisite: MAS 202, 222, 251. 3 credits.
MAS 325.
Geometry.
Axiomatic development of absolute, Euclidean and non-Euclidean geometries. Prerequisites: MAS 202, 222, 251. 3 credits.
MAS 335.
Operations Research.
Introduction to some operations research techniques including linear programming, queuing theory, project scheduling, simulation and decision analysis. Prerequisites: MAS 222, 251 or MAS 202. 3 credits.
MAS 360.
Teaching of Mathematics in Secondary Schools.
A course to ensure that prospective mathematics teachers at LVC are knowledgeable and competent in the aspects of teaching that pertain specifically to the teaching of mathematics in Pennsylvania schools, as defined in the PDE Standards. Study of educational theories, research, and practices in the context of actual use of the same. Taught as a lab course. Prerequisites: MAS 202, 222; junior standing; EDU 110. 3 credits.
MAS 371.
Mathematical Probability.
A mathematical introduction to probability, discrete and continuous random variables, and sampling. Prerequisites: at least two of MAS 222, 251, and ASC 281 or junior standing. 3 credits.
MAS 372.
Mathematical Statistics.
An introduction to the mathematical foundations of statistics including sampling distributions, estimation, hypothesis testing, linear models and multivariate distributions. Prerequisites: MAS 371. 3 credits.
MAS PDE.
Math for Education Cert..
This course is used to note that a student has taken a class at another institution that meets one of the college-level mathematics courses required for teacher certification by the Pennsylvania Department of Education. This course does not count toward any LVC degree requirement and does not carry any credit.