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 |
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| 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 |
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| 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 |
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| Calculus with Parametric Curves | Areas and Lengths in Polar Coordinates |