Proyecto Salón Hogar English Section
Math Page
## Topics in## PRECALCULUSInternet Explorer 6 is the browser to view these pages, and Garamond is the font. 11. The formal rules of algebra 12. Rational and irrational numbers What is a rational number? Which numbers have rational square roots? The decimal representation of irrationals. What is a real number? 13. Functions What is a function? Functional notation. A function of a function. The graph of a 15. Basic graphs The constant function. The identity function. The absolute value function. A parabola. The square root function. The cubic function. 16. The vocabulary of polynomial functions Definition of a 17. The roots, or zeros, of a polynomial The 18. The slope of a straight line Definition of the slope. Positive and negative slope. 19. Linear functions: The equation of a straight line The equation of the first degree. The graph of a first degree equation -- a straight line. The slope-intercept form, and its proof. 10. Quadratics: Polynomials of the second degree Solving a quadratic equation by factoring. A double root. Quadratic inequalities. The sum and product of the roots. Solving a quadratic equation by 12. Synthetic division by The remainder theorem. 13. Roots of polynomials of degree greater than 2 The factor theorem. The fundamental theorem of algebra. The integer root theorem. Conjugate pairs. 14. Multiple roots. Point of inflection. Concave upward, concave downward. Reflection about the Symmetry with respect to the Definition of a translation. The equation of a circle. Singularities. The reciprocal function. Horizontal and vertical asymptotes. Definition of inverses. Constructing the inverse. 20. Logarithms The system of common logarithms. The system of natural logarithms. The three laws of logarithms. 21. Logarithmic and exponential functions 22. Factorials 23. Permutations and Combinations The Fundamental Principle of Counting. Factorial representations. Pascal's triangle. A proof of the binomial theorem. www.proyectosalonhogar.com |