1965-1966 - Cochise College

26 SLIDE RULE I UNITPrerequisite: Permission of the professor.l\fultiplication and division, ratio and proportion, areasand circumference of circles, square root, cube root, logarithms,trigonometric functions, theory and practice ofplacing decimal point in aE operations.Lecture 1 hour.COLLEGE ALGEBRA AND TRIGONOMETRY 5 UNITSPrerequisites: High school plane geometry or Math 3Xtogether with two years of high school algebra or Math II.Includes sets, logic of algebra, inequalities. absolute values,functions and graphs, circular functions, linear andquadratic functions, determinants, polynomial functions,inverse functions, permutations and combinations, binomialtheorem, mathematical induction, exponential and logarithmic functions, applications of circular func­tions, complex numbers, Lecture 5 hours. 51 ANALYTICAL GEOMETRY WITH CALCULUS 4 UNITSPrerequisite: Four years of high school mathematics withpermission of the professor 01' Math 20 and Math 24 01'Math 44.A brief review 0" absolute value and inequality, relations,functions and graphs. Geometry using algebraic methods(the straight line, circle, and selected special functions).Limits, continuity, definition of the derivative and antiderivative.Definition of the definite integral. Differentia·tion of algebraic functions with applications to geometricand pnysical problems.Lecture 4 hours.52 ANALYTICAL GEOMETRY WITH CALCULUS 4 UNITSPrerequisite: Math 51 with grade of 3 or better.The conic sections, differentiation of trigonometric and exponentialfunctions and their inverses, parametric equations,arc length, polar coordinates, vectors in a plane,formulas and methods of integration. and some applicationsof integration.Lecture 4 hours.53 ANALYTICAL GEOMETRY WITH CALCULUS 4 UNITS Prerequisite: Math S2 with grade of 3 or better. Solid analytic geometry. funcUons of several variables. partial differentiation. multiple integrals, infinite series. Lecture 4 hours. 67