MATH 121 Calculus I (5)
Differentiation and integration of algebraic and trigonometric functions, applications to physical sciences and engineering. Topics related to standard 6 include limits; definition of the derivative; mechanics of differentiation; applications of the derivative; the definite integral; and applications of integration. Prerequisite: MATH 103: Trigonometry or MATH 104: Pre-calculus.

 GRADES A B C D F Grade signifies this performance *: Excellent mastery of content Good mastery of content Average mastery of some content Poor (but passing) understanding of content Failing; lack of mastery of content

*As defined by general practice in the United States education system. The A-F grading system tends to re present these descriptors across most educational institutions. The University of Kansas expressly classifies grades A, B, C, and D as “satis factory ” grades while a grade of F is classified as “unsatisfactory.”

MATH 122 Calculus II (5 )
An introduction to partial differentiation and multiple integration. Topics related to standard 6 include partial fractions; conic sections ; polar coordinates ; sequences and series; three-dimensional vector geometry; vector functions (including planetary motion); partial derivatives; and double integrals.
Prerequisite: MATH 121 or MATH 116: Calculus II (3 hours)

MATH 109: Mathematics for Elementary School Teachers I (3)
This course is designed to give the prospective elementary and middle school teacher an overview of several components of the K-8 mathematics curriculum, including number systems , estimation, inequalities and order, sequences and patterns, sets, and relations and functions. Specific topics include problem solving with an emphasis on looking for patterns (standards 1, 2, and 3); sets (standard 1); number systems (standards 1 and 2);
whole number ope rations and properties (standards 1 and 2); number theory (standards 1 and 2); fraction operations and properties (standards 1 and 2); decimal operations and properties (standards 1 and 2); ratios, proportions, and percents (standards 1 and 2); integer operations and properties (standards 1 and 2); rational numbers (standards 1 and 2); real numbers (standards 1 and 2); use of variables (standards 1 and 3); and solving equations and inequalities (standards 1 and 3).
Prerequisite: MATH 101: College Algebra or equivalent placement.

MATH 110: Mathematics for Elementary School Teachers II (3)
This course is designed to give the prospective elementary and middle school teacher an overview of several components of the K-8 mathematics curriculum, including geometry and elementary probability and statistics. Specific topics include organizing, displaying and analyzing data in various forms and recognizing misleading graphs and statistics (standard 5); finding probability through simple and complex experiments, finding odds, and using counting techniques, simulation, and expected value (standard 5); geometric shapes and properties (standard 4); measurement including units in the metric and customary systems as well as length, area, volume, and surface area (standard 4); geometry using triangle congruence and similarity (standard 4); geometry using coordinates (standard 4); and geometry using transformations (standard 4).
Prerequisite: MATH 109

MATH 409 Topics in Mathematics for Secondary and Middle School Teachers (3). Topics from Euclidean, non-Euclidean, and transformation geometry, and from history of mathematics are selected to give breadth to the mathematical background of secondary and middle school teachers. Specific topics that align with standard 4 include constructions using Geometer’s Sketchpad and straightedge and compass; the basics of Euclidean geometry; contrasting spherical and plane geometry; basic transformational geometry; similarity; symmetries of polygons; tessellations; Platonic solids; and Euler’ s formula . An introduction to the history and
sociology of mathematics is aligned with standard 8. Prerequisite: MATH 115: Calculus I (3 hours) or MATH 121

MATH 558 Introductory Modern Algebra (3)
This course is designed to introduce the student to modern algebraic structures with an emphasis on the axiomatic approach and a considerable amount of time devoted to definitions and proofs. Specific topics include complex numbers (standard 2), solutions to equations (standard 3), modular arithmetic (standard 3), binomial theorem (standard 3), the ring of polynomials over a field (standard 3), Galois fields (standard 3), permutations (standard 7), and groups (standard 3). Prerequisite: MATH 122

MATH 365 Elementary Statistics (3)
Specific topics (all align with standard 5) include elementary descriptive statistics; graphs and distributions (including the binomial, Poisson, and normal distributions); correlation and regression; sampling and experiments; populations and sampling from populations; probability; introduction to inference; confidence intervals; tests of significance; inference in practice; inference about quantitative and categorical variables; and Chi- square test . Prerequisite: MATH 101: College Algebra or MATH 104

MATH 106 Finite Mathematics (3)
An introduction to several areas in discrete mathematics and to their applications to contemporary life. General topics covered will include the collection and description of data, including an introduction to elementary probability and statistics and the analysis of properties of size and shape, including measurement, symmetry, relationships, and
patterns. Additional material will include topics chosen from the areas of management science, social choice, and decision-making. Specific topics include logic, truth tables, and analyzing arguments; sets and counting, including permutations and combinations (standard 7); elementary probability, including conditional probability and probability trees (standard 5); statistics, including normal distributions and margin of error (standard 5); elementary finance; solving systems of linear equations (standard 3); and linear programming via the simplex method (standard 7).
Prerequisite: MATH 101 or MATH 104, or two years of high school algebra and a score of 26 or more on ACT Mathematics or a qualifying score on the Mathematics placement test.

T&L 443 Teaching Mathematics in the Middle/Secondary School (3)
This course provides continued study of curriculum development (the mathematics students will teach aligns with standards 1-5) and instructional strategies (aligns with standard 9) appropriate for teaching mathematics.

 GRADES A/A- B+/B/B- C+/C/C- D F Grade signifies this performance*: Excellent mastery of content Good mastery of content Average mastery of some content Poor (but passing) understanding of content Failing; lack of mastery of content
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