### Bloomington Calculus Tutors Near Me Beth works with students to explore the concepts, methods, and applications of Calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills.

### Derivatives and Limits

Average rate of change Intuitive Meaning of Limit
Epsilon-delta Definition of Limit Squeeze Theorem
Continuity Intermediate Value Theorem
The Derivative as a Limit Average Rates of Change
Instantaneous Rates of Change Product and Quotient Rules
Chain Rule Implicit Differentiation
Logarithmic Differentiation Mean Value Theorem
Increasing and Decreasing Functions Local Maxima and Minima
Global Maxima and Minima Optimization
Critical Points and Values Concavity and Inflection Points
Second Derivative Test Curve Sketching
Related Rates L’Hopital’s Rule
Local Linear Approximation Newton’s Method

### Integrals

Riemann Sums Definite Integral as Area
Average Value of a Function Fundamental Theorem of Calculus, Parts I and II
Antiderivatives Integration by Parts
Volumes of Solids of Revolution Arc Length
Surface Areas of Solids of Revolution Trigonometric Integrals
Integration by Trigonometric Substitutions Integration by Partial Fractions
Approximate Integration Improper Integrals

### Infinite Sequences and Series

The Integral Test and Estimates of Sums The Comparison Test
Alternating Series Absolute Convergence; Ratio and Root Tests
Representation of Functions as Power Series Taylor and Maclaurin Series

### Parametric Equations and Polar Coordinates

Calculus with Parametric Curves Areas and Lengths in Polar Coordinates