Numeration systems, set theory, mathematical systems, group theory, and logic are the five concepts surveyed. A course in which three topics in mathematics which are frequently encountered in everyday readings are surveyed. Topics in arithmetic, geometry, algebra, and elementary trigonometry are covered with emphasis on their application to technology. Students in fields requiring subsequent mathematics courses should not take MAT 110. First course in the standard integrated calculus sequence.
Topics covered include differentiation and integration of algebraic and trigonometric functions.
Applications include curve sketching, related rates, maxima and minima, approximations, and calculation of areas and volumes of revolution. There is an emphasis on the theory of limits and continuity. Topics include differentiation and integration of logarithmic, exponential, trigonometric and inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, special techniques of integration, L'Hospital's rule and improper integrals, infinite series, conic sections, and polar coordinates. Applications are the same as in MAT 111 except that they are applied to the transcendental functions. Algebraic topics discussed include systems of linear equations, determinants, factoring, fractions, quadratic equations, rational exponents, and radicals.