Calculus I is the study of derivatives and applications of derivatives. Important topics include derivatives of functions, finding the limits of functions using various methods, graphing functions while finding critical points and points of inflections and its concavity, and related rates. There are many real life applications of Calculus I material in the areas of economics and engineering.

We provide comprehensive Calculus I tutoring for students including the following Calculus I topics:

• Applications of Differentiation
• Area Under a Curve
• Basic Integration
• Chain Rule
• Concavity
• Continuity and Discontinuity of Functions
• Critical Points of Functions
• Curve Sketching
• Decreasing Functions
• Definite Integrals
• Definition of Derivative
• Derivative of Inverse Functions
• Derivatives of Logarithmic Functions
• Derivatives of Trigonometric Functions
• Differential Equations
• Differentials of Composite Functions
• Differentiation Rules
• Domain and Range of Functions
• Even and Odd Functions
• Extrema on an Interval
• First derivative Test
• Fundamental Theorem of Calculus
• Graphing Functions
• Growth and Decay Problems
• Horizontal Asymptotes
• Implicit Differentiation
• Increasing Functions
• Indefinite Integrals
• Infinite Limits
• Integration by Parts
• Integration by Substitution
• Intermediate Value Theorem
• Inverse Functions
• L’hopital’s Rule
• Limits
• Limits of Trigonometric Functions
• Linear Approximations
• Mean Value Theorem
• Minimum and Maximum Problems
• Newton’s Method
• Inflection Points of Functions
• One Sided Limits
• Power Rule for Derivatives
• Product rule for Derivatives
• Quotient Rule for Derivatives
• Related Rates
• Relative Extrema on an Open Interval
• Relative Maximums
• Relative Minimums
• Riemann Sums
• Rolle’s Theorem
• Second Derivative Test
• Vertical Asymptotes
• Volume of Rotating Solids