Fundamental concepts of arithmetic including pre-algebra. Does not count for graduation.
Fundamental concepts of arithmetic including pre-algebra. Relations, functions, positive and negative numbers, rational expressions, linear equations and inequalities. Does not count toward graduation.
Relations, functions, positive and negative numbers, rational expressions, linear equations and inequalities. Does not count toward graduation. Prerequisite: MATH ND0950 or placement test.
Graphs; linear equations and systems; exponents and radicals; polynomial, rational, and logarithmic functions; applications. Prerequisite: MATH ND0955, MATH ND0960 or placement test.
An introduction to the definitions, methods, and logic of geometry. Prerequisite: MATH ND0960 or placement test.
Topics from mathematics which convey to the student the beauty and utility of mathematics, and which illustrate its application to modern society. Topics include geometry, statistics, probability, and growth and form. Prerequisite: MATH 1010 or ACT Math score 23 or higher or placement test.
Basic concepts of probability and statistics with an emphasis on applications. Prerequisite: MATH 1010 or Math ACT score 23 or higher or placement test.
Selected topics in algebra including inequalities, logarithms, theory of equations, matrices, determinants and progressions. Prerequisite: MATH 1010 or Math ACT score of 23 or higher or placement test.
Trigonometric functions, equations, identities, and applications. Complex numbers and polar coordinates. Prerequisite: MATH 1010 or Math ACT score of 23 or higher or placement test.
A course covering college algebra and trigonometry concepts preparatory to calculus. Prerequisite: MATH 1010 or Math ACT score of 23 or higher or placement test.
Computer solution of mathematics problems using a computer algebra system. Prerequisites: MATH QL1050 and 1060, or MATH QL1080, or Co-requisite: MATH SI1210.
Limits, continuity, differentiation, integration. Prerequisite: MATH QL1050 and 1060 or MATH QL1080 or placement test. Co-requisite: The ability to use a computer algebra system.
Transcendental functions, techniques of integration, analytic geometry, infinite series. Prerequisite: MATH SI1210. Co-requisite: The ability to use a computer algebra system.
An overview of the fundamentals of algorithmic, discrete mathematics applied to computation using a contemporary programming language. Topics include logic, proofs, sets, functions, counting, relations, graphs, trees, Boolean algebra, and models of computation. This course includes programming. Prerequisites: MATH QL1050 or MATH QL1080, and CS SI1400 or ability to program in a contemporary computer language and the consent of the instructor.
Prospective elementary school teachers revisit mathematics topics from the elementary school curriculum and examine them from an advanced perspective including arithmetic, number theory, set theory and problem solving. Prerequisite: MATH QL1050.
Prospective elementary school teachers revisit mathematics topics from the elementary school curriculum and examine them from an advanced perspective including probability, statistics, geometry and measurement. Prerequisite: MATH QL1050 and MATH 2010.
An introduction to Abstract Algebra, Number Theory and Logic with an emphasis on problem solving and proof writing. Prerequisite: MATH SI1210.
Exploration of Euclidean geometry, from basic concepts to advanced theorems. Prerequisite: MATH SI1210 or consent of instructor.
Vector algebra, vector valued functions, multivariable functions, partial derivatives, multiple integrals, line integrals, integration in vector fields. Prerequisite: MATH SI1220.
Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: MATH SI1220.
Systems of linear equations, matrices, vector spaces, eigenvalues linear transformations, orthogonality. Prerequisite: MATH SI1220.
Methods of solution for ordinary differential equations. Exact equations, linear equations Laplace Transforms, series solutions. Prerequisite: MATH SI1220.
An introduction to probability and statistics with special emphasis on concepts in the K-12 school curriculum. Prerequisite: MATH SI1210 or MATH QL1050 and consent of instructor.
Consult the semester class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript.
A survey of the history of mathematics and its impact on world culture with emphasis on mathematical motivations, original methods and applications. Prerequisite: MATH SI1220.
Axiomatic development of geometry; Euclidean and non-Euclidean. MATH SI1220, and either MATH 2120 or consent of instructor.
An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MATH SI1210.
Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MATH 2270.
Introductory probability theory and mathematical statistics, including applications. Prerequisite for MATH 3410: MATH SI1220. Prerequisites for MATH 3420: MATH 2210 and 3410.
Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MATH 2210, MATH 2270 or 2280, or consent from instructor.
Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MATH SI1210.
Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MATH SI1210.
Fourier series and the method of separation of variables. Heat, wave, and potential equations, Sturm-Liouville problems, orthogonal functions, special functions. Prerequisites: MATH 2210 and MATH 2280.
Partial differential equations. First and second order equations, characteristics and classifications, methods of solution, applications. Prerequisite: MATH 3710.
Linear and nonlinear systems of differential equations, qualitative behavior and stability of solutions, applications. Prerequisite: MATH 2270 and MATH 2280.
Analysis and applications of a function of a single complex variable. Analytic function theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: MATH 2210.
Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MATH 2270.
Continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MATH 4110.
Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis. Prerequisite: MATH 2210 and 2270 for 4210; MATH 4210 for 4220.
Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may include the Baire Category Theorem and Tietze Extension Theorem. Prerequisite: MATH 2210 and 2270.
Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MATH 2270 and an ability to use a programming language; MATH 4610 for 4620.
This course will vary with the demand and may be taken more than once for a maximum of 8 credit hours. Prerequisite: Consent of the instructor.
Mathematical research project for seniors. Students may not register for this course the last semester before they intend to graduate. Prerequisite: Instructor approval.
Consult the semester class schedule for the current offering under this number. The specific title and credit authorized will appear on the student transcript.
Courses numbered above 5000 are restricted to in-service teachers and credit should not be given for students who have received credit for the corresponding undergraduate course.
Basic topics in secondary mathematics are taught to prospective teachers using a variety of methods of presentation and up-to-date technology, including the use of graphing calculators and computers. Prerequisite: MATH SI1220.
Aspects of teaching advanced mathematics in a high school setting, including methods of presentation, exploration, assessment and classroom management. An emphasis is placed on the use of computers, graphing calculators, and other technology. Prerequisite: MTHE 3010.
Basic Probability and statistics with an emphasis on topics and methods pertinent to prospective elementary school teachers. Prerequisite: MATH 2010 and MATH 2020.
Basic Geometry with an emphasis on the topics and methods pertinent to prospective elementary school teachers. Prerequisite: MATH 2010 and MATH 2020.
Survey of elementary number theory concepts with applications to topics of interest plus teaching suggestions. Prerequisite: MATH 2010 and MATH 2020.
Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from algebra. Prerequisites: MATH 2110 and MATH 3120.
Prospective high school teachers revisit mathematics topics from the secondary school curriculum and examine them from an advanced perspective. The major emphasis is on topics from geometry. Prerequisite: MTHE 4010.
Mathematical problem solving, discussion of process, writing solutions, and writing extensions. Prerequisite: MATH 2010 and MATH 2020.
Prerequisite: MATH 2010 and MATH 2020.
Projects in preparing, teaching and revising sequential mathematics lessons for elementary students. Prerequisite: MATH 2010 and MATH 2020.
Topics in secondary mathematics are taught to in-service teachers using a variety of methods and technology to make them better prepared for teaching secondary mathematics. Expository presentations about a current mathematics education research area are expected.
Analytic geometry, differentiation, integration, and applications. Prerequisite: MATH QL1050 and 1060 or MATH QL1080 or placement test.
Transcendental functions, techniques of integration, conic sections, polar coordinates, infinite series, introduction to partial derivatives. Prerequisite: MTHE 5210.
Computer solution of mathematics problems. May be taken concurrently with any lower division mathematics course. Prerequisite: Approval of instructor.
Vectors, vector valued functions, motion in space, multivariable functions, partial derivatives, multiple integrals, integration in vector fields. Prerequisite: MTHE 5220.
Introduction to Linear Algebra and Differential Equations. Systems of linear equations, matrices, vector spaces, eigenvalues. First and second order differential equations and models, higher order linear equations, linear systems. Prerequisite: MTHE 5220.
Axiomatic development of geometry; Euclidean and non-Euclidean. Prerequisite: MTHE 5220.
An overview of beginning number theory including the integers, modulo arithmetic, congruencies, Fermat's theorem and Euler's theorem. Prerequisite: MTHE 5210.
Theory and applications of linear algebra including abstract vector spaces and canonical forms of matrices. Prerequisite: MTHE 5350.
The mathematical content of probability and statistics at the undergraduate post calculus level. An understanding of the application of probability and statistics is also stressed. Co-requisite: MTHE 5310 or prerequisite of MTHE 5220 and consent of instructor. Further prerequisites: MTHE 6410 for 6420.
Formulation, solution and interpretation of mathematical models for problems occurring in areas of physical, biological and social science. Prerequisite: MTHE 5310 and 5350.
Principles of Graph Theory including methods and models, special types of graphs, paths and circuits, coloring, networks, and other applications. Prerequisite: MTHE 5210.
Principles of Enumeration including counting principles, generating functions, recurrence relations, inclusion-exclusion, and applications. Prerequisite: MTHE 5210.
Series solutions, Fourier series, separation of variables, orthogonal functions. Prerequisite: MTHE 5350.
Matrix approach to linear systems, nonlinear systems, Laplace transforms. Prerequisite: MTHE 5350.
Analysis and applications of a function of a single complex variable. Analytic function theory, path integration, Taylor and Laurent series and elementary conformal mapping are studied. Prerequisite: MTHE 5310 and 5350.
Logic, sets, and the study of algebraic systems including groups, rings, and fields. Prerequisite: MTHE 5350.
Continuation of MATH 4110: advanced topics from groups, rings, and fields including the Sylow theorems and Galois theory. Prerequisite: MTHE 6660.
Develop the analysis underlying calculus. In-depth study of limits, continuity, integration, differentiation, sequences and series. Other topics may include Lebesgue measure and integration and Fourier Analysis. Prerequisite: MTHE 5310 and 5350 for 6680; MTHE 6680 for 6690.
Introduction to point-set topology, including metric and topological spaces, continuity, homeomorphisms, compact and connected spaces, and complete metric spaces. Other topics may include the Baire Category Theorem and Tietze Extension Theorem. Prerequisite: MTHE 5310 and 5350.
Introduction to numerical methods. Use of the digital computer in solving otherwise intractable problems. Prerequisite: MTHE 5350 and CS SI1410 or other approved programming language; MTHE 6710 for 6720.
First order equations, characteristics and classifications, Green's identities, models, transforms. Prerequisite: MTHE 6630.
Weber State University 2007-2008 Catalog