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

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are examined through a variety of techniques. When presented with a situation, students learn to develop, test, and revise an appropriate model. The course is project-oriented and focuses on applying the mathematics students already know. Group work is required, and students present their work in extensive written reports. MA472 Research in Mathematics I One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Permission of the Dean of Mathematics. Meeting pattern: Three periods per week including lab. This course is designed for students who have completed calculus and would like to work on a research team investigating an unsolved problem in mathematics. Since the research questions usually arise from the fields of graph theory and complex systems, students are encouraged to complete MA466 Graph Theory and Networks and MA458 Introduction to Complex Systems prior to enrolling in MA472 or to have completed comparable coursework in 9 th or 10 th grade. The work of the research team typically begins in spring of junior year and students are expected to make significant progress on the problem over the summer on their own. The research concludes in fall of the senior year with MA474 Research in Mathematics II. MA474 Research in Mathematics II One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Completion of MA472 Research in Mathematics I and permission of the Dean of Mathematics. Meeting pattern: Three periods per week including lab. This course continues the project begun in MA472. Students write a formal paper presenting the background of the probllem and any prior results found by other researchers. The students’ results are then presented in standard mathematical form with all necessary detail in the proofs and corollaries presented. If the students’ results warrant, the paper may be submitted for publication. MA476 Group Theory One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Permission of the Dean of Mathematics. Meeting Pattern: Five periods per week. Selected topics from group theory, an advanced area of mathematics are studied. Topics include groups, cyclic groups, Isomorphisms, normal sub-groups, Lagrange's Theorem, and the Fundamental Theorem of Finite Abelian Groups. 58
The concept of proof is developed over the trimester and students work to improve their ability to read and write mathematics. Strong interest and achievement in mathematics is required. NOTE: MA476 Group Theory and MA460 Number Theory are offered in alternate years and one is not pre-requisite for the other. Students may begin their study in either year or may complete one in the junior year and then may enroll in the other in the senior year. MA478 Combinatorics and Game Theory with Advanced Topics One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: Permission of the Dean of Mathematics. Meeting pattern: Four periods per week. This college-level mathematics course assumes familiarity with basic combinatorial reasoning. Students who have previously studied combinatorics for mathematics competitions or in a summer program will enhance their understanding and are encouraged to take this course. Topics include set and integer partitions, Fibonacci, Lucas and Stirling numbers, permutation groups, Polya and Burnside theorems, and posets. Combinatorial games will also be studied. Strong interest and talent in mathematics, and prior experience with combinatorial reasoning are required. MA480 Vector Functions and Partial Derivatives One trimester Credit: One unit core mathematics or core elective credit. Prerequisite: MA434 AP Calculus BC (Advanced Topics III) and permission of the Dean of Mathematics. Meeting pattern: Four periods per week. This is the first half of a university-level course in multivariable calculus. This course includes the theory and application of vector functions and partial derivatives. Topics include a vector approach to regression modeling, the Frenet-Serret equations, continuity and differentiability of functions of several variables, gradients and directional derivatives, and classic optimization problems. Numerical methods such as Newton’s Method for solving non-linear systems and modeling with vector-valued functions of scalar and scalar-valued functions of a vector are included. MA482 Multiple Integrals and Vector Fields One trimester Credit: One unit core mathematics or core elective credit. 59
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NCSSM Course Catalog 2012-2013
Page 3 and 4:
INTRODUCTION The course offerings d
Page 5 and 6:
CLASS RANK The school population is
Page 7 and 8:
RESEARCH AT NCSSM Recognizing the i
Page 9 and 10: Research in Computational Science p
Page 11 and 12: DEPARTMENT OF HUMANITIES NCSSM’s
Page 13 and 14: The course cultivates students’ i
Page 15 and 16: the program emphasizes the developm
Page 17 and 18: EN362 Classical Myth: Epic and Trag
Page 19 and 20: EN410 Topics in Literature One trim
Page 21 and 22: to modern-day novels and short stor
Page 23 and 24: the Cold War to the present day, so
Page 25 and 26: Prerequisite: Completion of three t
Page 27 and 28: COURSE OFFERINGS: History and Socia
Page 29 and 30: Meeting pattern: Four periods per w
Page 33 and 34: Read description under English. EN4
Page 35 and 36: Read description under Interdiscipl
Page 37 and 38: multi-track digital editing, advanc
Page 39 and 40: performance technique, tone product
Page 41 and 42: a base vocabulary and learn the sim
Page 43 and 44: Prerequisite: JA305 Introductory Ja
Page 45 and 46: Credit: Three units core World Lang
Page 47 and 48: they explore different points-of-vi
Page 49 and 50: approaches to problem solving are e
Page 51 and 52: MA408 AP Statistics (III) One trime
Page 53 and 54: MA422 AP Calculus BC (II): Contempo
Page 57 and 58: MA454 Modeling with Differential Eq
Page 59: methods of generating functions, re
Page 63 and 64: IE376 Research Experience in Mathem
Page 65 and 66: BI358 Classical Genetics One trimes
Page 67 and 68: analyzing data to test hypotheses.
Page 69 and 70: This course focuses on the study of
Page 71 and 72: BI448 Research in Biology IV One tr
Page 73 and 74: CH405a/CH405b AP Chemistry (Advance
Page 75 and 76: Chemistry (Advanced I), or exemptio
Page 77 and 78: COURSE OFFERINGS: Physics Graduatio
Page 81 and 82: This course emphasizes the origin,
Page 83 and 84: EE350 Introduction to Engineering -
Page 85 and 86: This class covers the ‘A’ curri
Page 87 and 88: ENGINEERING COURSES EE310 Engineeri
Page 89 and 90: input and output impedances are emp
Page 91 and 92: identification of hair, fibers and
Page 93 and 94: stylistic period. Stylistic and com
Page 95 and 96: construct a comprehensive understan
Page 97 and 98: studies, food science, toxicology,
Page 99 and 100: IE405a/IE405b Mentorship-Senior Res
Page 101 and 102: In this course, students continue w
Page 103 and 104: This is the first semester of a two
Page 105 and 106: This is a fast paced, rigorous chem
Page 107 and 108: This is the second semester of a tw
Page 109 and 110: PA100 Varsity Sports only once unle
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take this course and/or PA154 Advan
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use of breath to support mindful mo
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This course is designed for student
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STUDY OPTIONS and SPECIAL PROGRAMS
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World Language Exemption Guidelines
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Students who provide evidence of la
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W. Paul Powell, Colfax, NC Leslie D
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Sabra Feeney, Counselor. B.A., Univ
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James A. Litle, Instructor of Human
Page 129 and 130:
Joyce Rodman, Counselor. B.A., Camp
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Korah Wiley, Instructor of Biology.
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NCSSM COURSE CAtAlOG - North Carolina School of Science and ...

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