An interesting problem started Omar Khayyam on employing conic sections
in solving cubic and quartic equations.
The topics include equations and inequalities in one and two variables, exponents and polynomials, rational expressions and rational functions, quadratic functions, and conic sections
They start with real numbers and their basic properties, then turn to equations and inequalities, graphing and solving systems of equations and inequalities, polynomials, factoring polynomials, proportions and rational expressions, writing equations of lines along with functions and variations, radicals and rational exponents, quadratic functions, inequalities, algebra of functions, exponential and logarithmic functions, conic sections
and a set of miscellaneous topics such as geometric sequences.
Coverage progresses from inequalities and graphs, through various types of functions, conic sections
, polar coordinates, systems of equations and inequalities, and sequences and series.
The topics include Brownian motion and harmonic measure in conic sections
, the sharpness of certain approach regions, integral representation for space-time excessive functions, hyperbolic Riemann surfaces without unbounded positive harmonic functions, and a vanishing theorem on the point- wise defect of a rational iteration sequence for moving targets.
The topics include a review of some basic concepts of algebra, coordinate geometry and graphing techniques, polynomial and rational functions, systems of equations, conic sections
, and sequences and mathematical induction.
In preparation for business mathematics or calculus, this textbook introduces the graphing of equations, functions, polynomial equations, systems of linear equations, conic sections
, the binomial theorem, probability, and finance applications.
The topics include functions, trigonomic functions, polar coordinates and parametric equations, conic sections
, and sequences and series.
This textbook begins with graphs and functions, introduces trigonometry through both the right triangle and unit circle approaches, and ends with systems of equations, conic sections
, sequences, series, counting, and probability.
This honors course includes concepts typically covered in intermediate, advanced, and college algebra, including functions and graphing, exponential and logarithmic functions, theory of equations, conic sections
, matrices and determinants, and an introduction to probability.
The chapters cover inequalities, equations, and graphs; functions; polynomial and rational functions; trigonomic functions; exponential and logarithmic functions; and conic sections