40 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.
Topics include functions and graphs; equations and inequalities; systems of equations; polynomial, rational, exponential, and logarithmic functions. Students who have other college credits in mathematics must obtain permission of the department chair to enroll in this course.
This course provides a review of algebra; simultaneous equations; trigonometry; functions and graphs; properties of logarithmic, exponential, and trigonometric functions; problem-solving and modeling. A TI graphing calculator is required.
or MTH 120 Calculus I or ECN 213 Statistics for Economics and Political Science ILO 6.1: Technological Competency (p. 440) Choose course within ILO (p. 440) 3 ILO 8.1a/12.1: Oral Communication/Collaborative Engagement (p. 440) Choose course within ILO (p. 440) 3 Distinct Discipline Core Courses Students must complete 1 course in each of the following 4 ILOs. Each course must be from a different discipline. (A "discipline" is represented by the 3- or 4-letter prefix attached to each course.) ILO 4.1: Critical Analysis and Reasoning (p. 440)
This course provides a review of algebra and trigonometry as a preparation for courses in the calculus sequence. Topics include: exponents and radicals; polynomials and rational expressions; factoring; division with polynomials; solving equations and inequalities in one variable; graphing in the coordinate plane; linear, quadratic, and higher- degree polynomial functions; horizontal and vertical transformations of functions; rational zeros of functions; exponential and logarithmic functions and their graphs; laws of logarithms; solving exponential and logarithmic equations; radian and degree measure; reference angles; trigonometric functions and graphs; right triangle trigonometry; trigonometric identities and formulas; solving trigonometric equations. A TI graphing calculator is required. Prerequisite(s): MTH 101 or a Mathematics Placement of 102M
4 Credits 12 4 Third Year
Select three of the following: 11-12
ILO 6.1: Technological Competency (p. 440)
3-4 Credits 8
4 MTH 240 Linear Algebra 4 4 MTH 302 Foundations of Mathematics 3 4 MTH 330 Modern Geometries 3 4 MTH 341 Abstract Algebra 3 3 MTH 405 History of Mathematics 3 4 MTH 410 Probability 3 3 CSC 230 Programming Concepts and User Interfaces 4 3 or CSC 280 Object Programming 3 PHY 105 General Physics I 4 12-16 One MTH elective at 300-level or higher 3
This course includes vectors and matrices, systems of linear equations, determinants, real vector spaces, spanning and linear independence, basis and dimension, linear transformations, eigenvalues and eigenvectors, and orthogonality. Applications in mathematics, computer science, the natural sciences, and economics are included.
3 MTH 261 Discrete Structures II 3
MTH 260 Discrete Structures I and MTH 261 Discrete Structures II should be taken during the sophomore year since they are prerequisites for some of the higher-level computer science courses. It is important for students to complete these courses as soon as they are able since most of the rest of the curriculum relies on the knowledge from these classes.
Select one ILO from 10.2, 11.2, or 12.2: Active Responsibility (p. 440)
This is a course that emphasizes the theory behind calculus topics such as continuity, differentiation, integration, and sequences and series (both of numbers and of functions); basic topology, Fourier Series.
Select one ILO from 3.2a, 3.2b, 4.2, 5.2, 6.2, 7.2a, or 7.2b: Expanded Literacies (p. 440)
Topics from Euclidean geometry including: planar and spatial motions and similarities, collinearity and concurrence theorems for triangles, the nine-point circle and Euler line of a triangle, cyclic quadrilaterals, compass and straightedge constructions. In addition, finite geometries and the classical non-Euclidean geometries are introduced. (offered in alternate years) Prerequisite(s): MTH 240 or MTH 302
This course introduces students to the field of graph theory and leads them through an exploration of the major branches of this subject, incorporating both theoretical results and current applications for each area studied. From a theoretical perspective, students re-derive well- known existing results and construct proofs related to new topics which have been introduced. From an applied standpoint, members of the class learn to formulate graph models to solve problems in computer science, the natural sciences, engineering, psychology, sociology, and other fields. We also consider some open problems and pose new questions of our own. In addition to fundamental definitions and concepts in graph theory, some specific topics that will be introduced are the following: Eulerian, Hamiltonian, planar, and directed graphs; trees, connectivity, matching, decomposition, coloring, covering, and independent sets and cliques; techniques and algorithms on graphs; and optimization problems and network flows. Prerequisite(s): Junior/senior mathematics standing or permission of the department chair
Sets and mappings; groups, rings, fields, and integral domains; substructures and quotient structures; homomorphisms and isomorphisms; abelian and cyclic groups; symmetric and alternating groups; polynomial rings are topics of discussion in this course. (offered in alternate years) Prerequisite(s): MTH 302
This course addresses permutations and combinations, generating functions, recurrence relations and difference equations, inclusion/ exclusion principle, derangements, and other counting techniques, including cycle indexing and Polya's method of enumeration. Prerequisite(s): MTH 121
This is an introductory course to specialized areas of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing
This is an introductory course to specialized areas of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing La Salle University Catalog 2023-2024 - Undergraduate 209
This is an introductory course to specialized areas of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing
This course is an in-depth historical study of the development of arithmetic, algebra, geometry, trigonometry, and calculus in Western mathematics (Europe and the Near East) from ancient times up through the 19th century, including highlights from the mathematical works of such figures as Euclid, Archimedes, Diophantus, Fibonacci, Cardano, Napier, Descartes, Fermat, Pascal, Newton, Leibniz, Euler, and Gauss. A term paper on some aspect of the history of mathematics is required. (offered in alternate years) Prerequisite(s): MTH 302
All Other Required Courses
MTH 415
This course introduces students to the fundamental concepts of financial mathematics and provides opportunities to apply those concepts to real-world problems. Students will gain an understanding of concepts behind present and future values for various streams of cash flows and will work with reserving, valuation, pricing, asset and liability management, investment income, budgeting, and contingencies. Pre-requisite(s): Math 120 or permission of Chair.
A survey of numerical methods commonly used in algebra and calculus with emphasis on both algorithms and error analysis. Topics include round-off error, numerical methods for solving equations in one variable, interpolation and polynomial approximation, and numerical differentiation and integration. Methods and techniques studied include Bisection, Fixed-Point Iteration, Newton's Method, Müller's Method, Lagrange Polynomials, Neville's Method, Divided Differences, Cubic Splines, Three- point and Five-point Numerical Differentiation Formulas, Newton-Cotes Formulas, Composite Numerical Integration, Adaptive Quadrature, Gaussian Quadrature. Prerequisite(s): MTH 121
This course examines analytic functions; Cauchy-Riemann equations; Cauchy's integral theorem; power series; infinite series; calculus of residues; contour integration; conformal mapping. Prerequisite(s): MTH 222
This course addresses the uses of mathematical methods to model real-world situations, including energy management, assembly-line control, inventory problems, population growth, predator-prey models. Other topics include: least squares, optimization methods interpolation, interactive dynamic systems, and simulation modeling. Prerequisite(s): MTH 121
Topics in the course include topological spaces; subspaces; product spaces, quotient spaces; connectedness; compactness; metric spaces; applications to analysis. (offered in alternate years) Prerequisite(s): MTH 302
This course provides a comprehensive introduction to the mathematics of modern cryptography, examining theoretical foundations and their secure implementation in practical applications. Students will explore classical, private-key (symmetric), and public-key (asymmetric) cryptography. Key topics include encryption methods such as AES and RSA, authentication protocols, hash functions and one-way hashing, digital signatures, and secure key exchange. The course also addresses blockchain technology and cryptocurrencies, system vulnerabilities, and zero-knowledge proofs.
MTH 445 MTH 450 Research in MTH II
This course is a continuation of the 444 research course. It provides the student with an opportunity to continue to conduct research with a faculty member.
This course is an introduction to specialized research, concentrating on one particular aspect of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing
This course is an introduction to specialized research, concentrating on one particular aspect of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing
This course is an introduction to specialized research, concentrating on one particular aspect of mathematics. The subject matter will vary from term to term. Restriction(s): junior or senior standing
Source: La Salle University's catalog, linked per course · table learning_unit · CourseShelf publish 59
