NCSSM COURSE CAtAlOG - North Carolina School of Science and ...

NCSSM COURSE CAtAlOG - North Carolina School of Science and ... NCSSM COURSE CAtAlOG - North Carolina School of Science and ...

04.11.2014 Views

and figures in the plane, or others. This course is intended for students who have not taken calculus. MA372 Explorations in Advanced Geometry One trimester Credit: One unit core mathematics or core elective credit. Meeting pattern: Five periods per week including lab. In this course students investigate areas of geometry beyond those included in a one-year high school geometry course. Topics focus on the theory of constructability and proof; periodic and non-periodic tilings; three-dimensional geometry, including investigation of Platonic and Archimedean solids; and modeling through geometry. Students also explore selected topics independently. Emphasis is placed on gaining an intuitive understanding of geometry as well as communicating and applying that understanding through projects, presentations, papers, extended problems, and daily discussion. MA404 AP Statistics (I) One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: MA305 Precalculus and Modeling or permission of the Dean of Mathematics. Meeting pattern: Four periods per week. This course is designed to teach students to think about problems from a statistical point of view. Topics begin with univariate data analysis, including summary statistics and graphical techniques, with emphasis on interpretation and communication. Additional topics covered include normal distributions, introductory topics in sampling and experimental design, and probability. MA406 AP Statistics (II) One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Final grade of C or higher in MA404 AP Statistics (I). Meeting pattern: Four periods per week. This course continues the study of statistics, including topics in probability, sampling distributions, inference procedures for means and proportions, and chisquare tests for goodness of fit, homogeneity and independence. The course involves projects that require students to gather data and analyze results. 48

MA408 AP Statistics (III) One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Final grade of C or higher in MA406 AP Statistics (II). Meeting pattern: Four periods per week. This course completes the topics on the AP Statistics syllabus with initial focus on correlation, regression, and inference procedures for slope. After the AP examination, students work on topics beyond the AP syllabus and/or projects. MA404, MA406, MA408 constitute a comprehensive introduction to statistics and include all of the topics on the AP Statistics syllabus. MA410 AP Calculus AB (Advanced Topics I) One trimester Credit: One unit core mathematics credit. Prerequisite: Final grade of B- or higher in MA305 Precalculus and Modeling or permission of the Dean of Mathematics. Meeting pattern: Four periods per week including lab. This course introduces students to the concepts of differential calculus and the applications of calculus to mathematical modeling. Through class discussions, problem solving, laboratory experiences, and writing assignments students discover the important concepts of calculus, develop an understanding of these concepts, and use these concepts in solving realistic problems. This course generally includes the completion of a substantial mathematical modeling project. Calculators and computers are used as tools in the course. Topics normally covered include the derivative, techniques of differentiation, local linearity of functions, linear approximations, and the concept of a limit. MA412 AP Calculus AB (Advanced Topics II) One trimester Credit: One unit core mathematics credit. Prerequisite: Final grade of C or higher in MA410 AP Calculus AB (Advanced Topics I). Meeting pattern: Four periods per week including lab. This course continues the study of calculus and its applications to mathematical modeling. Through class discussions, problem solving, laboratory experiences, and writing assignments students discover the important concepts of calculus, develop an understanding of these concepts, and use these concepts in solving 49

MA408 AP Statistics (III)<br />

One trimester<br />

Credit: One unit core mathematics or core elective credit.<br />

Prerequisite: Final grade <strong>of</strong> C or higher in MA406 AP Statistics (II).<br />

Meeting pattern: Four periods per week.<br />

This course completes the topics on the AP Statistics syllabus with initial focus on<br />

correlation, regression, <strong>and</strong> inference procedures for slope. After the AP<br />

examination, students work on topics beyond the AP syllabus <strong>and</strong>/or projects.<br />

MA404, MA406, MA408 constitute a comprehensive introduction to statistics <strong>and</strong><br />

include all <strong>of</strong> the topics on the AP Statistics syllabus.<br />

MA410 AP Calculus AB (Advanced Topics I)<br />

One trimester<br />

Credit: One unit core mathematics credit.<br />

Prerequisite: Final grade <strong>of</strong> B- or higher in MA305 Precalculus <strong>and</strong> Modeling or<br />

permission <strong>of</strong> the Dean <strong>of</strong> Mathematics.<br />

Meeting pattern: Four periods per week including lab.<br />

This course introduces students to the concepts <strong>of</strong> differential calculus <strong>and</strong> the<br />

applications <strong>of</strong> calculus to mathematical modeling. Through class discussions,<br />

problem solving, laboratory experiences, <strong>and</strong> writing assignments students<br />

discover the important concepts <strong>of</strong> calculus, develop an underst<strong>and</strong>ing <strong>of</strong><br />

these concepts, <strong>and</strong> use these concepts in solving realistic problems. This<br />

course generally includes the completion <strong>of</strong> a substantial mathematical<br />

modeling project. Calculators <strong>and</strong> computers are used as tools in the course.<br />

Topics normally covered include the derivative, techniques <strong>of</strong> differentiation,<br />

local linearity <strong>of</strong> functions, linear approximations, <strong>and</strong> the concept <strong>of</strong> a limit.<br />

MA412 AP Calculus AB (Advanced Topics II)<br />

One trimester<br />

Credit: One unit core mathematics credit.<br />

Prerequisite: Final grade <strong>of</strong> C or higher in MA410 AP Calculus AB (Advanced<br />

Topics I).<br />

Meeting pattern: Four periods per week including lab.<br />

This course continues the study <strong>of</strong> calculus <strong>and</strong> its applications to mathematical<br />

modeling. Through class discussions, problem solving, laboratory experiences,<br />

<strong>and</strong> writing assignments students discover the important concepts <strong>of</strong> calculus,<br />

develop an underst<strong>and</strong>ing <strong>of</strong> these concepts, <strong>and</strong> use these concepts in solving<br />

49

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