Hofstra University Summer Sessions 2011 Bulletin

Page 63

course offerings MATH 61 (MC) Basic Calculus With Applications 4 s.h. This is a terminal course that should not be taken by students who wish to continue in mathematics. Functions, limits, differentiation, and integration and applications to business and the biological and social sciences. Similar to MATH 61A, but with more time for review and applications. Prerequisite(s)/Course Notes: High school precalculus or equivalent. MATH 50 strongly recommended. No credit given for both this course and MATH 61A or 71. May not be taken after MATH 71. For those interested in continuing with calculus, see MATH 71B. SSI 60583: M-R, 1:30-4:10 p.m., Akbik, 103 Weed SSII 70556: M-R, 1:30-4:10 p.m., High, 208 Adams MATH 71 (MC) Analytic Geometry and Calculus I 4 s.h. Limits, derivatives, techniques of differentiation, trigonometric functions, curve sketching, applications of the derivative, integrals, applications of the integral. Meets five hours each week. Prerequisite(s)/Course Notes: MATH 50 with grade C- or better or departmental placement. No credit for both this course and MATH 61 or 61A. Exceptions may be made with permission from the department chairperson. May not be taken after MATH 72. (Formerly MATH 19.) SSI 60227: M-R, 1:30-4:30 p.m., Michaels, 201C Adams SSII 70557: M-R, 11 a.m.- 2 p.m., Silverstone, 11 Adams MATH 72 (MC) Analytic Geometry and Calculus II 4 s.h. Exponential, logarithmic, and inverse trigonometric functions, techniques of integration, improper integrals, introduction to differential equations, parametric equations, polar coordinates, infinite sequences and series. Meets five hours each week. Prerequisite(s)/Course Notes: MATH 71 with a grade C- or better, or both MATH 61 and 71B, each with a grade of C- or better. (Formerly MATH 20.) SSI 60228: M-F, 1:30-4:30 p.m., Waner, 202 Brower SSII 70188: M-R, 8:30-11:30 a.m., Mammo, 201C Adams MATH 73 (MC) Analytic Geometry and Calculus III 4 s.h. Three-dimensional analytic geometry, elementary vector analysis, partial derivatives, multiple integrals, vector fields, parametric curves and surfaces, line integrals, Green’s Theorem, introduction to surface integrals and theorems of Stokes and Gauss. Meets five hours each week. Prerequisite(s)/Course Notes: MATH 72 with a grade of C- or better. (Formerly MATH 29.) SSI 60229: M-R, 11 a.m.-2 p.m., Warner, 11 Adams MATH 131 Elementary Differential Equations 3 s.h. Methods for the solution of elementary types of ordinary differential equations with geometrical, physical and chemical applications. Prerequisite(s)/Course Notes: MATH 72. SSII 70090: M-R, 8:35-10:45 p.m., Mammo, 200 Adams MATH 133 Geometry 3 s.h. Foundations of Euclidean and non-Euclidean geometry. Axioms and models. Topics include triangles and circles, geometric transformations, projective and hyperbolic geometries. Use of geometry software. Prerequisite(s)/Course Notes: MATH 114. Cross-listed with MATH 233. SSI 60584: M-R, 6:45-8:55 p.m., Eswarathasan, 201C Adams MATH 143 (MC) Engineering Mathematics I 3 s.h. Systems of linear equations, row operations, Gauss Jordan reduction, matrix algebra, inversion, determinants, eigenvalues and eigenvectors, solutions of linear ODE’s, algebra of the complex plane, polar representation and DeMoivre’s theorem, the complex exponential and logarithmic functions, Fourier Series, the solution of the heat and wave equations by Fourier Series, Bessel functions and applications. Prerequisite(s)/Course Notes: MATH 73. SSII 70560: M-R, 4:35-6:35 p.m., Silberger, 204 Weed

MATH 167 (MC) Elementary Topology 3 s.h. Basic properties of sets and mappings in euclidean space such as continuity, compactness, connectedness. Metric spaces. Topological spaces and metrizability. The fundamental group functor. Prerequisite(s)/Course Notes: MATH 73 and 114. Cross-listed with MATH 203. SSI 60818: M-R, 4:25-6:35 p.m., Seabold, 11 Adams MATH 198B (MC) Special Studies in Mathematics: Algebraic Structures for Teachers 3 s.h. Each course covers a preannounced topic in mathematics. The topics chosen for 198 have little or no advanced mathematics course prerequisites. Prerequisite(s)/ Course Notes: May be repeated for credit when topics vary. SSI 60580: MWF, 3:20-6:25 p.m., Whitton, 180 Hagedorn MATH 203 Topology 3 s.h. Topological spaces, convergence and completeness, separation axioms, homeomorphisms, metric spaces, compactness. Prerequisite(s)/Course Notes: MATH 171 or permission of instructor. SSI 60819: M-R, 4:25-6:35 p.m., Seabold, 11 Adams MATH 233 Advanced Topic: Modern Geometries 3 s.h. Advanced topics of Euclidean and non-Euclidean geometry. Axioms and models. Topics include projective and hyperbolic geometries. Euclidean GeometryEuclidean Space, Isometries, Reflections, Translations, Rotations; Spherical Geomertry-Geodesics, Properties of a spherical triangle, Navigation Problems ; Conics, Projective Geometry and Hyperbolic Geometry. Prerequisite(s)/Course Notes: Cross-listed with MATH 133. SSI 60585: M-R, 6:45-8:55 p.m., Eswarathasan, 201C Adams MATH 280G Fundamentals of Pre-College Mathematics: Exploring the Greek Heritage of Geometry 3 s.h. This course is designed for pre-college teachers of mathematics. It will be taught in Greece and Turkey and examine the ancient Greek influences on the evolution of geometry. Students study, first-hand, the geometric principles applied by Greek artists and architects and observe their impacts on the architecture and art forms of the western world. Mathematics topics include: Euclidean geometry, constructions, proportions, transformational geometry, conic sections, solid geometry, trigonometry, and principles of non-Euclidean geometry. These topics will be studied within the context of the cultural dimensions and people who influenced the development and applications of geometry, art, and architecture of ancient Greece. Prerequisite(s)/Course Notes: Permission of department. No credit toward M.A. in Mathematics or M.S. in Applied Mathematics This course carries no credit toward the M.A. in Mathematics. SSII 70773: Study Abroad, Whitton/Fixell, see page 10. MATH 301 Master’s Thesis 3 s.h. Topic agreed on by instructor (thesis adviser) and student before registering. Runs as an independent study. Prerequisite(s)/Course Notes: Permission of departmental chairperson, graduate coordinator and instructor. Pass/Fail grade only. SSII 70630: TBA

Music (MUS) MUS 1 (CP) Introduction to Music (for nonmajors) 3 s.h. The elements of music. Emphasis on basic theory, chord structure, melody line, form and stylistic devices. Attendance at concerts and recitals may be required. SSII 70816: M-R, 8:30-10:40 a.m., Cinnamon, 216 Monroe MUS 3 (AA) Music Appreciation (for nonmajors) 3 s.h. A fundamental approach to the development of music listening skills through a study of representative Western musical masterpieces and of the principal

hofstra.edu/summer

61


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.