Download Foundational Level Subject Matter Waiver Program in Mathematics

 Foundational Level Subject Matter Waiver Program in Mathematics (36 semester units) The coursework listed below prepares candidates to teach middle school mathematics and some high school mathematics including general mathematics, algebra, geometry, probability and statistics, and consumer mathematics. A teaching candidate successfully completing this program is considered subject matter competent in Foundational level Mathematics and is waived from taking the required CSET exams. To receive the waiver one must earn a minimum C grade in every single course in all required courses. Required Breadth Area Courses Course Description Units (22) MATH 1040 Pre-­‐Calculus MATH 1100 Foundations of the Real Number System for Teachers MATH 2450 6 Integers and elementary number theory, rational numbers, decimals and percent, ratio and proportion, alternate bases, and word problems. 3 Preliminary introduction to the basic mathematical notation, vocabulary, and reasoning used in advanced mathematics courses. Logic; elementary set theory; proof techniques; recursion; induction; equivalence relations; counting techniques; graphs and trees. 3 3 Introduction to Statistics Graphical display of data, measures of variation, correlation, least-­‐
squares regression, design of samples and experiments, basic rules of probability, normal distribution, central limit theorem, sampling distributions, confidence intervals, hypothesis tests. MATH 3450 4 Foundations of Mathematics II: Mathematical Reasoning Set families; equivalence relations; modular arithmetic; functions; combinatorial reasoning; cardinality; linearly and partially ordered sets; abstract binary operations; standard number systems as groups, rings, or fields; and limits of sequences. Foundations of Mathematics I: Discrete Mathematics MATH 2740 Functions, Exponential and logarithmic functions; polynomials and rational functions; systems of linear equations and matrices; sequences and series; trigonometric functions, identities, and equations; solution of triangles; inverse trigonometric functions; complex numbers, DeMoivre’s Theorem; parametric equations; polar coordinates; conic sections. Math 4300 Modern Geometry Topics selected from advanced Euclidean geometry, non-­‐Euclidean geometry, and projective geometry. Required Extended Study courses Course Description MATH 2110 Functions, graphs, limits, continuity, derivatives, applications of the derivative, anti-­‐differentiation, definite integral, Fundamental 1 3 Units (14) 4 Calculus I Theorem of Calculus, integration by substitution, applications of the integral. MATH 2120 Calculus II MATH 2170 Introduction to Computer Algebra Systems MATH 2550 Introduction to Linear Algebra Integration of transcendental functions, methods of integration, limits of sequences and series, power series, Taylor series, three dimensional analytic geometry 4 Introduction to computer algebra systems such as Mathematica, Matlab or Maple; overview of built-­‐in functions; 2-­‐D and 3-­‐D graphs; basic programming structures; flow control; development and implementation of algorithms 3 Vector spaces, linear transformations, linear equations, matrices, determinants, eigenvectors and eigenvalues, canonical forms. 3 2