| Content: |
Course Content; Real numbers and the real line, Cartesian coordinates in the plane, Graphs of quadratic equations, Functions and graphs, Combining functions to define new functions, Real numbers and the real line, Cartesian coordinates in the plane, Graphs of Quadratic Equations, Functions and Graphs, Combining Functions to Define New Functions, Polynomials and Rational Functions, Exponential and Logarithmic Functions, Natural Logarithm and Exponential, Trigonometric Functions and Inverse Trigonometric Functions, Limits of Functions, Limits at Infinity and Infinite Limits, Continuity, Tangent Lines and Slopes, Derivatives, Differential Rules, Chain Rule, Derivatives of Trigonometric Functions, Indefinite Forms, Extreme Values, Limits and Properties, Uncertainties in Limits, Continuity, Applications of Continuity, Definition of derivative, Derivative rules, Derivatives of function types, Derivative theorems, Derivative theorems and geometric interpretation of derivative, Application of derivative to optimization problems. Linear/linear equations and their solutions, Indices and exponents/powers, negative and fractional indices, Binary and other valid numbering systems, Simultaneous equations and two-degree equations with one known quantity, Logarithms, Simple geometric structures, Graphical representation; properties and uses of graphs, equation/function graphs, Simple trigonometry, Trigonometric relationships, Tables and the use of orthogonal and polar coordinates. |