## Master Classes

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## Self-directed Calculus

## Only for Members

## The following list is the links to the classrooms of the Learn Python

## .

## Self-directed Calculus

## The following information provides study guideline to help people study Calculus by themselves. Sedisbus Education provides limited number of online classes to learn together the topics. For more information about it please contact Sedibus Education.

## We are using textbooks which were made by Rice University.

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## link to Online books : Volume1 Volume 2 Volume 3

## link to Download pdfs of the books : Volume1 Volume 2 Volume 3

Topics to study

Volume 1

Functions and Graphs

1.2 Basic Classes of Functions

1.5 Exponential and Logarithmic Functions

Limits

2.5 The Precise Definition of a Limit

Derivatives

3.2 The Derivative as a Function

3.4 Derivatives as Rates of Change

3.5 Derivatives of Trigonometric Functions

3.7 Derivatives of Inverse Functions

3.9 Derivatives of Exponential and Logarithmic Functions

Applications of Derivatives

4.2 Linear Approximations and Differentials

4.5 Derivatives and the Shape of a Graph

4.6 Limits at Infinity and Asymptotes

4.7 Applied Optimization Problems

Integration

5.3 The Fundamental Theorem of Calculus

5.4 Integration Formulas and the Net Change Theorem

5.6 Integrals Involving Exponential and Logarithmic Functions

5.7 Integrals Resulting in Inverse Trigonometric Functions

Applications of Integration

6.2 Determining Volumes by Slicing

6.3 Volumes of Revolution: Cylindrical Shells

6.4 Arc Length of a Curve and Surface Area

6.6 Moments and Centers of Mass

6.7 Integrals, Exponential Functions, and Logarithms

6.8 Exponential Growth and Decay

6.9 Calculus of the Hyperbolic Functions

Volume 2

Integration

1.3 The Fundamental Theorem of Calculus

1.4 Integration Formulas and the Net Change Theorem

1.6 Integrals Involving Exponential and Logarithmic Functions

1.7 Integrals Resulting in Inverse Trigonometric Functions

Applications of Integration

2.2 Determining Volumes by Slicing

2.3 Volumes of Revolution: Cylindrical Shells

2.4 Arc Length of a Curve and Surface Area

2.6 Moments and Centers of Mass

2.7 Integrals, Exponential Functions, and Logarithms

2.8 Exponential Growth and Decay

2.9 Calculus of the Hyperbolic Functions

Techniques of Integration

3.3 Trigonometric Substitution

3.5 Other Strategies for Integration

Introduction to Differential Equations

4.1 Basics of Differential Equations

4.2 Direction Fields and Numerical Methods

4.5 First-order Linear Equations

Sequences and Series

5.3 The Divergence and Integral Tests

Power Series

6.1 Power Series and Functions

6.2 Properties of Power Series

6.3 Taylor and Maclaurin Series

6.4 Working with Taylor Series

Parametric Equations and Polar Coordinates

7.2 Calculus of Parametric Curves

7.4 Area and Arc Length in Polar Coordinates

Volume 3

Parametric Equations and Polar Coordinates

1.2 Calculus of Parametric Curves

1.4 Area and Arc Length in Polar Coordinates

Vectors in Space

2.2 Vectors in Three Dimensions

2.5 Equations of Lines and Planes in Space

2.7 Cylindrical and Spherical Coordinates

Vector-Valued Functions

3.1 Vector-Valued Functions and Space Curves

3.2 Calculus of Vector-Valued Functions

Differentiation of Functions of Several Variables

4.1 Functions of Several Variables

4.4 Tangent Planes and Linear Approximations

4.6 Directional Derivatives and the Gradient

Multiple Integration

5.1 Double Integrals over Rectangular Regions

5.2 Double Integrals over General Regions

5.3 Double Integrals in Polar Coordinates

5.5 Triple Integrals in Cylindrical and Spherical Coordinates

5.6 Calculating Centers of Mass and Moments of Inertia

5.7 Change of Variables in Multiple Integrals

Vector Calculus

6.3 Conservative Vector Fields

Second-Order Differential Equations

7.1 Second-Order Linear Equations