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 |