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Calculus 1

Limits I

Limits II

The Derivative

Techniques of Differentiation

Derivatives of Trigonometric Functions

Chain Rule and Related

Tangent Line Approximation and Differentials

Applications of the First Derivative

Applications of the Second Derivative

General Properties of Continuous and Differentiable Functions

The Indefinite Integral

The Definite Integral

The Fundamental Theorem

Geometrical Applications of the Definite Integral

Physical Applications of the Definite Integral


 Limits I

Introduction to Limits

Limits of Rational

Limits at Infinity

 

$11.00 per lesson

 Limits II

Definition and Proofs of Limits

Use of Limit Theorems

Continuity

 

$11.00 per lesson

 The Derivative

Derivative: Approximating Rates and Definition

Derivative: Instantaneous Rates

 

$11.00 per lesson

 Techniques of Differentiation

Differentiation of Polynomials and Rational Functions

Uses of the First Derivative

The Second Derivative

 

$11.00 per lesson

 Derivatives of Trigonometric Functions

The Pinching Theorem

Differentiation of trigonometric Functions

 

$11.00 per lesson

 Chain Rule and Related

Derivatives of Composite Functions

More on the Chain Rule

Implicit Differentiation

Related Rates

 

$11.00 per lesson

 Tangent Line and Approximation and Differentials

Tangent Line Approximation

Differentials at a Point

 

$11.00 per lesson

 Applications of the First Derivative

The Behavior of a Function as Related to the Sign of the Derivative

Finding Maxima and Minima of Functions

 

$11.00 per lesson

 Applications of the Second Derivative

Concavity and the Second Derivative

Graphing Rational Functions

Narrative Max-Min Problems

 

$11.00 per lesson

 The Indefinite Integral

The Indefinite Integral: Interp. of Antider.

Integration by Substitution

 

$11.00 per lesson

 The Definite Integral

Introduction to the Definite Integral: Approximations and Areas

Introduction to the Definite Integral: Definition and Applications

 

$11.00 per lesson

 The Fundamental Theorem

Fundamental Theorem of Calculus

Dervatives of Integrals with Functions as Limits

 

$11.00 per lesson

 Geometrical Applications of the Definite Integral

Area Between Curves

Volumes of Solids of Revolution by the Method of Disks

Volumes of Solids of Revolution by the Method of Shells

 

$11.00 per lesson

 Physical Applications of the Definite Integral

Work Done by Moving or Stretching

Work Done by Lifting or Pumping

Force Due to Hydrostatic Pressure

Center of Mass

 

$11.00 per lesson

 

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