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Precalculus Website

Calculus Website
by Kiryl Tsishchanka



                  

Tests

Online Tests, Midterm Exams, Quizzes

Sections

Calculus Handouts Supplementary Materials   

Videos

Problems
Solutions 

 Sample
Tests
 

Section 1.1

Functions and their Representations Videos Problems

Section 1.2

A Catalog of Essential Functions Videos Problems

Section 1.3

The Limit of a Function Videos

Section 1.4

Calculating Limits Videos 1, 2, 3 Problems Tests

Section 1.5

Continuity Videos 1, 2

Section 1.6

Limits Involving Infinity Videos 1, 2, 3, 4, 5, 6 Problems

Section 2.1

Derivatives and Rates of Change Videos 1, 2 Problems

Section 2.2

The Derivative as a Function Videos 1, 2, 3

Section 2.3

Basic Differentiation Formulas Videos 1, 2 Problems Tests

Section 2.4

The Product and Quotient Rules Videos 1, 2, 3  

Section 2.5

The Chain Rule Videos Problems

Section 2.6

Implicit Differentiation Videos

Section 2.8

Linear Approximations and Differentials Videos 1, 2

Section 3.1

Exponential Functions Videos

Section 3.2

Inverse Functions and Logarithms Videos
Tests

Section 3.3

Derivatives of Logarithmic and Exponential Functions Videos 1, 2

Tests

Section 3.4

Exponential Growth and Decay Videos

Section 3.5

Inverse Trigonometric Functions Videos Problems Tests 1, 2

Section 3.7

Indeterminate Forms and L'Hospital's Rule Videos 1, 2
Tests

Section 4.1

Maximum and Minimum Values Videos 1, 2

Section 4.2

The Mean Value Theorem Videos 1, 2

Section 4.3

Derivatives and the Shapes of Graphs Videos 1, 2

Section 4.4

Curve Sketching Videos

Section 4.5

Optimization Problems Videos

Section 4.7

Antiderivatives Videos

Section 5.1

Areas and Distances Videos 1, 2

Section 5.2

The Definite Integral Videos 1, 2

Section 5.3

Evaluating Definite Integrals Videos Problems Tests

Section 5.4

The Fundamental Theorem of Calculus Videos Problems

Section 5.5

The Substitution Rule Videos Problems Tests

Section 6.1

Integration by Parts Videos
Tests

Section 6.2

Trigonometric Integrals and Substitution Videos 1, 2 Problems Tests 1, 2

Section 6.3

Partial Fractions Videos 1, 2
Tests

Section 6.5

Approximate Integration Videos 1, 2, 3, 4

Section 6.6

Improper Integrals Videos 1, 2
Tests

Section 7.1

Areas Between Curves Videos

Section 7.2

Volumes Videos 1, 2, 3

Section 7.3

Volumes by Cylindrical Shells Videos

Section 7.4

Arc Length
Videos

Section 7.5

Applications to Physics and Engineering Videos 1, 2, 3

Section 7.6

Differential Equations Videos 1, 2

Section 8.1

Sequences Videos 1, 2, 3, 4

Section 8.2

Series Videos 1, 2, 3, 4, 5, 6

Section 8.3

The Integral  and Comparison Tests Videos 1, 2

Section 8.4

Other Convergence Tests Videos 1, 2, 3, 4, 5

Section 8.5

Power Series Videos 1, 2, 3, 4, 5, 6, 7


Section 8.6

Representing Functions as Power Series Videos

Section 8.7

Taylor and Maclaurin Series Videos


Section 8.8

Applications of Taylor Polynomials Videos

Section 9.1

Parametric Curves Videos


Section 9.2

Calculus with Parametric Curves Videos

Section 9.3

Polar Coordinates Videos


Section 9.4

Areas and Lengths in Polar Coordinates Videos 1, 2



Useful Links
MIT Open Course
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