Course Descriptions

Knotted torus

Course Descriptions

Math Endorsement Courses

Each of the listed courses uses appropriate technology to allow learners to discover knowledge dynamically and emphasizes the NCTM standards of problem solving as a means as well as a goal. Importance is placed on communication of ideas in various means, interrelatedness of math applications as well as the special NCTM standards for a particular content.

MAEN 500 - Algebra in Middle School Mathematics
Introduces the Real Number system with its algebraic properties. Topics include: the fundamental theorem of arithmetic, divisibility, factors, multiples, primes, units of measurements, estimation and approximation all within the context of algebraic notation and thinking.

MAEN 501 - Math Modeling in Middle School Mathematics
Introduces the ideas of linear and quadratic functions and their graphs with applications to data collections, surveys, predictive curves, spatial representations. Simulations will be explored for the collection, organization and interpretation of data.
Prerequisite: MAEN 500

MAEN 502 - Algebra and Applications
A review of fundamental algebraic operations, first and second degree equations and inequalities in two and three variables, and an introduction to functions and their graphs, matrix theory with applications ranging across the mathematics curriculum. Various new methods of teaching algebra and new algebra projects will be discussed specially via incorporating graphing calculators and computers in the curriculum.
Prerequisite: MAEN 500

MAEN 503 - Mathematical Problem Solving
An introduction to the various fields of mathematics through problem solving and applications. Topics include numerical patterns, permutations and combinations, probability, statistics, network theory and modeling. The spreadsheet and other problem solving software will be used throughout the course.
Prerequisite: MAEN 500

MAEN 504 - Geometry and Applications
A review of the fundamental concepts of Euclidean geometry with applications and an introduction to Non-Euclidean geometry. Topics include congruence, similarity, constructions, transformations, consistency of axiomatic systems and modern applications. Presents axioms for Euclidean geometry as compared to axioms for several modern geometries. Appropriate computer software will be used for exploration and investigation throughout the course
Prerequisite: MAEN 500,501

MAEN 505 - Statistics and Applications
The development of statistical concepts and their applications in various fields. Topics include: descriptive statistics, binomial and normal distributions, elementary probability, hypothesis testing, estimation test, t-test and chi-square test and correlation and regression. Hands-on projects with direct applications to education and use of technology will be an integral part of the course.
Prerequisite: MAEN 502

MAEN 506 - Elementary Function Theory
An introduction to the theory of algebraic, exponential, and trigonometric functions with graphical analysis and applications. A computer algebra system is used to explore the functional relationship and to develop an appreciation of the role of symbolic manipulation software in mathematics and the changes it has produced in the mathematics curriculum.
Prerequisite: MAEN 502

MAEN 507 - Calculus with Applications
Designed for the student who wishes to investigate the concepts and techniques of elementary calculus. Topics include real numbers systems, functions of one variable, limits and continuity, differentiation, anti differentiation, integration and applications. The role of the graphing calculators and symbolic manipulation software will be explored as to how these new technologies are changing both the teaching and learning of calculus.
Prerequisite: MAEN 506

MAEN 508 - Introduction to Simulations and Programming
The course presents mathematical concepts that are suitable for exploration and extension through the use of the computer language; Logo. Topics covered range from mathematical patterning in geometry and number systems, to isometries and Fractals. Theory of programming in a procedural languages is taught as it relates to the development of problem solving skills within the mathematics classroom.
Prerequisite: MAEN 502

MAEN 509 - Mathematical Modeling
This course emphasizes the role of mathematical modeling as a tool for learning and appreciating mathematical techniques. Applications are drawn from diverse areas such as discrete dynamical systems, mathematics of social choice, graphs and networks, linear programming, transportation and assignment problems, etc. Importance is placed on the role of modeling as a facet of problem solving and on the transformation of the curriculum through the use of computers to solve large sized problems. Extensive use of computer software is made throughout the course.
Prerequisite: MAEN 501, MAEN 502 and MAEN 507