This course extends elementary algebra with emphasis on functions and properties of number systems, structure, and proof. The course introduces the system of complex numbers as an extension of the real number system. Topics include matrices and determinants, theory of induction, sequences and series, elementary probability and statistics, exponential, logarithmic, and trigonometric functions, and relations and their graphs. This course is a formal approach to the study of plane figures. Instruction employs logic and deductive reasoning.
Plane geometry is taught as an axiomatic system.
Topics include the study of postulates, theorems, formal proofs, rules of congruence, angle measurement, similarity, parallelism, and perpendicularity. This course extends geometric concepts into the three dimensions through the use of definitions, postulates, and theorems of plane geometry. Students study the relationships of points, lines, planes, angles, and other geometric figures in space. The course emphasizes studying the projections, areas, and volumes defined by different solid geometric figures. A course designed to define and develop trigonometric and circular functions, their inverse and graphs.