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Precalculus Website

Вища математика
by Kiryl Tsishchanka



                  

Tests

Online Tests

Sections

Calculus Handouts Supplementary Materials   

Videos

Problems
Solutions 

 Sample
Tests
 

Other
Materials

Section 1.1

Functions and their Representations Videos Problems
Link

Section 1.2

A Catalog of Essential Functions Videos Problems
Link

Section 1.3

The Limit of a Function Videos

Link

Section 1.4

Calculating Limits Videos 1, 2, 3 Problems Tests Link

Section 1.5

Continuity Videos 1, 2

Link

Section 1.6

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

Section 2.1

Derivatives and Rates of Change Videos 1, 2 Problems
Link

Section 2.2

The Derivative as a Function Videos 1, 2, 3

Link

Section 2.3

Basic Differentiation Formulas Videos 1, 2 Problems Tests
Link

Section 2.4

The Product and Quotient Rules Videos 1, 2, 3   Link

Section 2.5

The Chain Rule Videos Problems Link

Section 2.6

Implicit Differentiation Videos

Link

Section 2.8

Linear Approximations and Differentials Videos 1, 2

Link

Section 3.1

Exponential Functions Videos

Link

Section 3.2

Inverse Functions and Logarithms Videos
Tests
Link

Section 3.3

Derivatives of Logarithmic and Exponential Functions Videos 1, 2

Tests
Link

Section 3.4

Exponential Growth and Decay Videos

Link

Section 3.5

Inverse Trigonometric Functions Videos Problems Tests 1, 2
Link

Section 3.7

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

Section 4.1

Maximum and Minimum Values Videos 1, 2

Link

Section 4.2

The Mean Value Theorem Videos 1, 2

Link

Section 4.3

Derivatives and the Shapes of Graphs Videos 1, 2

Link

Section 4.4

Curve Sketching Videos

Link

Section 4.5

Optimization Problems Videos

Link

Section 4.7

Antiderivatives Videos

Link

Section 5.1

Areas and Distances Videos 1, 2

Link

Section 5.2

The Definite Integral Videos 1, 2

Link

Section 5.3

Evaluating Definite Integrals Videos Problems Tests Link

Section 5.4

The Fundamental Theorem of Calculus Videos Problems
Link

Section 5.5

The Substitution Rule Videos Problems Tests Link

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




Useful Calc Links
Matthew Leingang (NYU)
Link
MIT Open Course
Link
Khan Academy
Link
Paul Dawkins, Lamar University
Link 1, 2
D. A. Kouba (UC Davis) Link
Jeff Morgan, University of Houston
Link
Selwyn Hollis, University of Houston
Link


Useful Math Links
WolframAlpha Link
Wolfram MathWorld Link
Encyclopedia of Integer Sequences Link
Discussion Board
Link


Math Fun
Fractals (Galleries) Link 1, 2, 3
Fractals (Websites) Link 1, 2, 3
Math Art Link