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This course seeks to improve the level of algebraic sophistication of students by building on concepts introduced in earlier courses. Particular emphasis is placed on the study of functions and their usefulness in modeling data. The TI-83 calculator is used extensively both in learning about properties of functions and in using these functions to model data. In addition to linear and quadratic functions, students explore polynomial, exponential and logarithmic functions. Other topics addressed include complex numbers, matrices, conic sections and triangle trigonometry.
This course examines limits and continuity of functions and the basic concepts and applications of differential and integral calculus. Emphasis is on intuitive understanding of concepts and on mechanical manipulation as opposed to rigorous mathematical theory.
An integration of plane, solid and coordinate geometry is presented, using both inductive and deductive modes of reasoning. Formal proof, construction and locus problems are studied. Topics include interrelation of points, lines and planes, parallel lines, congruent triangles, quadrilateral polygons, similar triangles, circles, right triangle trigonometry, transformations, area and volume.
An integration of plane, solid and coordinate geometry is presented, using both inductive and deductive modes of reasoning. Formal proof, construction and locus problems are studied. Topics include interrelation of points, lines and planes, parallel lines, congruent triangles, quadrilateral polygons, similar triangles, circles, right triangle trigonometry, transformations, area and volume. |
A study of geometry which blends classical Euclidean geometry, transformational geometry, and Cartesian coordinate geometry.
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