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 
Epsilondelta 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 