Course: Kuwait • Mathematics • Grade Twelve • Science Section • Part One • Second Edition

Table of Contents

• Unit One Limits and Continuity
  • Limits by Direct Substitution
  • Evaluating Limits Using Algebraic Techniques
  • Limits at Infinity and Unbounded Limits
  • Horizontal and Vertical Asymptotes of a Function
  • Limits of Trigonometric Functions
  • Continuity at a Point
  • Continuity of Functions
• Unit Two The Derivatives
  • Definition of the Derivative
  • The Differentiability of a Function
  • Power Rule of Derivatives
  • Combining the Product, Quotient, and Chain Rules
  • The Product Rule
  • The Quotient Rule
  • Differentiation of Trigonometric Functions
  • Differentiation of Reciprocal Trigonometric Functions
  • The Chain Rule
  • Second- and Higher-Order Derivatives
• Unit Three Applications on Differentiation
  • Critical Points and Local Extrema of a Function
  • Absolute Extrema
  • The Mean Value Theorem
  • Concavity and Points of Inflection
  • Graphing Using Derivatives
• Unit Four Statistics
  • Confidence Intervals for Population Means
  • Linear Correlation Coefficient
  • Least Squares Regression Line