MathScienceTutor

Work Problems - Calculus

Work Problems - Calculus

This calculus video tutorial explains how to solve work problems.  It explains how to calculate the work required to lift an object against gravity or the work required to push a car with a co...

Integration By Parts

This calculus video tutorial provides a basic introduction into integration by parts.  It explains how to use integration by parts to find the indefinite integral of exponential functions, nat...

Trigonometric Integrals

This calculus video tutorial provides a basic introduction into trigonometric integrals.  It explains what to do in order to integrate trig functions with even  powers and how to employ u...

Trigonometric Substitution

This calculus video tutorial provides a basic introduction into trigonometric substitution.  It explains when to substitute x with sin, cos, or sec.  It also explains how to perform a cha...

Integration By Partial Fractions

This calculus video tutorial provides a basic introduction into integrating rational functions using the partial fraction decomposition method.  Partial fraction decomposition is the process o...

Improper Integrals - Convergence and Divergence

This calculus 2 video tutorial explains how to evaluate improper integrals.  It explains how to determine if the integral is convergent or divergent by expressing the limit as it approaches in...

Integration Into Inverse Trigonometric Functions Using Substitution

This calculus video tutorial focuses on integration of inverse trigonometric functions using formulas and equations.  Examples include techniques such as integrating by substitution, u-substit...

Integration of Rational Functions Into Logarithms By Substitution & Long Division

This calculus video tutorial focuses on the integration of rational functions that yield logarithmic functions such as natural logs.  The techniques involve include integrating by substitution...

Integral of Logarithmic Functions

This calculus video tutorial explains how to find the indefinite integral of logarithmic functions.  This video provides a simple formula that can help you to achieve it as well as explain how...

Center of Mass and Centroid Problems

This calculus video tutorial provides a basic introduction into the center of mass of a system also known as the centroid.  It explains how to find the x and y coordinates of the centroid of a...

Hydrostatic Force Problems

This calculus 2 video tutorial explains how to find the hydrostatic force on a plane surface submerged in water.  This video contains plenty of examples and practice problems of finding the fl...

Homogeneous Differential Equations

This calculus video tutorial provides a basic introduction into solving first order homogeneous differential equations by putting it in the form M(x,y)dx + N(x,y)dy = 0.  You can solve it by s...

First Order Linear Differential Equations

This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations.  First, you need to write the equation in standard form [y' + P...

Bernoulli's Equation For Differential Equations

This calculus video tutorial provides a basic introduction into solving bernoulli's equation as it relates to differential equations.  You need to write the differential equation into the stan...

Slope Fields - Calculus

This calculus video tutorial provides a basic introduction into slope fields.  It explains how to draw a slope field using an x-y data table given the differential equation.  It also expl...

Converging and Diverging Sequences Using Limits

This calculus video tutorial provides a basic introduction into converging and diverging sequences using limits.  It explains how to write out the first four terms of a sequence and how to det...

Monotonic Sequences and Bounded Sequences

This calculus 2 video tutorial provides a basic introduction into monotonic sequences and bounded sequences.  A monotonic sequence is a sequence that is always increasing or decreasing.  ...

Convergence and Divergence - Introduction to Series

This calculus 2 video tutorial provides a basic introduction into series.  It explains how to determine the convergence and divergence of a series.  It explains the difference between a s...

Calculus 2 - Integral Test For Convergence and Divergence of Series

This calculus 2 video tutorial provides a basic introduction into the integral test for convergence and divergence of a series with improper integrals.  To perform the integral test, let the s...

Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test

This calculus 2 video provides a basic review into the convergence and divergence of a series.  It contains plenty of examples and practice problems.

Power Series - Finding The Radius & Interval of Convergence

This calculus video tutorial provides a basic introduction into power series.  it explains how to find the radius of convergence and the interval of convergence of a power series using the rat...

Power Series - Differentiation and Integration

This calculus 2 video tutorial provides a basic introduction into the differentiation and integration of power series.  It explains how to find the derivative and the integral of a function re...

Power Series - Representation of Functions

This calculus 2 video tutorial provides a basic introduction into the representation of functions as power series.  It explains how to represent a function as a power series centered at 0 and ...

Taylor and Maclaurin Series - PDF Worksheet

Taylor and Maclaurin Series

This calculus 2 video tutorial explains how to find the Taylor series and the Maclaurin series of a function using a simple formula.  It explains how to derive power series of composite functi...

Binomial Series

This calculus 2 video tutorial provides a basic introduction into the binomial series.  It explains how to use the binomial series to represent a function as power series in sigma notation or ...

Finding Area In Polar Coordinates

This Calculus 2 video tutorial explains how to find the area of a polar curve in polar coordinates.  It provides resources on how to graph a polar equation and how to find the area of the shad...

Calculus 2 Final Exam Review

Calculus 2 Final Exam Review - Part 2

This calculus 2 final exam review covers topics such as finding the indefinite integral using integration techniques such as integration by parts and trig substitution.  It discusses how to fi...