Tools

Carl W. Lee
University of Kentucky

Spring 1999

• The Quadratic Formula
• Rate, Time and Distance
• The Pythagorean Theorem
• Tangents and Radii of Circles
• Chords and Diameters of Circles
• Crossing Chords of Circles
• Similar Figures, Ratios, and Pi
• Area and Circumference of Circles
• Volume and Surface Area of Spheres
• Some Trigonometric Formulas
• Laws of Sines and Cosines
• Basic Trigonometry
  • Definitions of Sine and Cosine
  • Angles in Different Quadrants
  • Some Familiar Angles
  • Some Basic Identities
  • Polar Coordinates of Points in the Euclidean Plane .
  • Alternate Definitions of Sine and Cosine
  • Definitions of Tangent, Secant, and Cosecant
• Complex Numbers
• Conjugates
• Difference of Two Squares
• FOIL
• Extreme Cases
• Factorials, Permutations and Combinations
• Pascal's Triangle
• A Summation Formula
• Another Summation Formula
• Induction
• Finite Differences
• Recursion
• Congruence of Integers Modulo n
• Binary Representations
• Some Volumes
• Drawing Polyhedra With Maple
• Lines and Tangent Lines
• Conic Sections
• Maximization and Minimization
• About this document ...