An extensive exploration of the elementary functions from numerical, graphical, and algebraic points of view. The study of rates of change, derivatives, differential calculus, applications, and introductory concepts of the definite integral. Class meets four hours a week. The continuation of MTH 231. Topics included area under the curve, antiderivatives, techniques of integration, applications of the definite integral, and numerical techniques.
Class meets four hours a week.
Calculus III Study of polar coordinates, solid analytic geometry, introduction to vector analysis, partial derivatives, directional derivatives, tangent lines and planes, line integrals, multiple integration, double and triple integrals, cylindrical and spherical coordinates, infinite series. Class meets four hours a week. Linear Algebra Introduction to vectors, vector fields, vector space Rn, bases of Rn, subspaces, projections, matrices and determinants, linear mappings, matrix representations of linear mappings, matrices and systems of linear equations, rank, existence and uniqueness of solutions, eigenvalues and eigenvectors. An introductory course in applied statistics. The basic ideas of analysis of data and statistical inference are introduced.