Calculus Refresher for the Fundamentals of Engineering Exam

Calculus Refresher for the FE Exam was written in response to the requests of countless FE candidates. Many engineers report having more difficulty with problems involving calculus than with anything else on the FE exam. Almost everyone can benefit from a concise review of the subject!

The author provides background theory, clear explanatory text, relevant examples, and FE-style practice problems (with solutions). 120 pp.

Calculus Refresher for the Fundamentals of Engineering Exam - Table of Contents:

• Preface
• Introduction
• Differential Calculus
  • Derivatives
    • Linearity
    • Product Rule
    • Quotient Rule
    • Chain Rule
    • Implicit Differentiation
    • Logarithmic Differentiation
    • Practice Problems
  • Critical Points
    • Practice Problems
  • Partial Derivatives
    • Functions of More than Two Variables
    • Higher Derivatives
    • Practice Problems
  • Curvature
    • Practice Problems
  • L'Hˆopital's Rule
    • Identifying an Indeterminate Form
    • Practice Problems
    • FE-Style Exam Problems
• Integral Calculus
  • Fundamental Theorem of Calculus
    • Antiderivatives
    • Fundamental Theorem of Calculus
    • Practice Problems
    • Methods of Integration
    • Integration by Parts
    • Integration by Substitution
    • Trigonometric Substitutions
    • Integration Using Partial Fractions
    • Practice Problems
    • FE-Style Exam Problems
• Centroids and Moments of Inertia
  • Moments of Inertia
  • Practice Problems
• Differential Equations
  • Linear Homogeneous Differential
    • Equations with Constant Coefficients
    • First-Order Linear Homogeneous
    • Differential Equations with Constant Coefficients
    • Second-Order Linear Homogeneous
    • Differential Equations with Constant Coefficients
    • Practice Problems
  • Linear Nonhomogeneous Differential
    • Equations with Constant Coefficients
    • Practice Problems
    • FE-Style Exam Problems
• Appendix 1
  • Solutions to Practice Problems
    • Chapter One
    • Chapter Two
    • Chapter Three
    • Chapter Four
• Appendix 2
  • Solutions to FE-Style Exam Problems
    • Chapter One
    • Chapter Two
    • Chapter Four
• Appendix 3
  • Selected Precalculus Topics
  • Solving Quadratic Equations
  • Factoring Formulas
• Trigonometry
  • Trigonometric Functions
  • Range
  • Periodicity
  • Odd/Even
  • Curves
  • Trigonometric Identities
  • Trigonometric Limits
  • Exponential and Logarithmic Functions
  • Natural Exponential Functions
  • Natural Logarithmic Functions