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Calculus 2

Introduction to Inverse Functions

Inverse Trigonometric Functions

The Natural Logarithm

The Natural Exponential Function

Other Logarithm and Exponential Functions

L'Hospital's Rule

Integration by Substitution and by Parts

Techniques of Integration Involving Trigonometric Functions

Partial Fractions

Numerical Integration

Improper Integrals

Lengths of Curves

Introduction to Sequences

Introduction to Series

Tests for Convergence of Nonnegative Series

Additional Topics on Convergence and Divergence of Series

Power Series


 Introduction to Inverse Functions

Properties of Inverse Functions

Derivatives of Inverse Functions

 

$11.00 per lesson

 Inverse Trigonometric Functions

The Arcsine Function

The Arctangent Function

 

$11.00 per lesson

 The Natural Logarithm

Properties of the Natural Logarithm

 

$11.00 per lesson

 The Natural Exponential Function

The Natural Exponential Function

Exponential Growth and Decay

Hyperbolic Functions

 

$11.00 per lesson

 Other Logarithm and Exponential Functions

Properties of Graphs…Logarithm Functions

Applications of the Common Logarithm

 

$11.00 per lesson

 L'Hospital's Rule

L’Hospital’s Rule

Further Indeterminate Forms

 

$11.00 per lesson

 Integration by Substitution and by Parts

Integration by Substitution

Integration by Parts

 

$11.00 per lesson

 Techniques of Integration Involving Trigonometric Functions

Trigonometric Integrals

Integration by Trigonometric Substitution

 

$11.00 per lesson

 Partial Fractions

Partial Fractions

Integration by Partial Fractions

 

$11.00 per lesson

 Numerical Integration

Riemann Sums and the Trapezoidal Rule

Simpson’s Rule

 

$11.00 per lesson

 Improper Integrals

Improper Integrals

 

$11.00 per lesson

 Lengths of Curves

Lengths of Graphs and Functions

 

$11.00 per lesson

 Introduction to Sequences

Polynomial Approximation and Taylor’s Theorem

Sequences

Further Properties of Convergent Sequences

 

$11.00 per lesson

 Introduction to Series

Introduction to Series

Preliminary Results on Infinite Series

 

$11.00 per lesson

 Tests for Convergence of Nonnegative Series

The Integral Test and the Comparison Test

The Ratio Test and the Root Test

 

$11.00 per lesson

 Additional Topics on Convergence and Divergence of Series

The Alternating Series Test

Absolute and Conditional Convergence

 

$11.00 per lesson

 Power Series

The Radius and Interval Convergence of Power Series

Differentiation and Integration of Power Series

Taylor Series

The Binomial Series

 

$11.00 per lesson

 

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Montcalm Community College 2800 College Drive Sidney, Michigan 48885 (989) 328-2111