MathScienceTutor

Logarithmic Differentiation

This calculus video tutorial explains how to perform logarithmic differentiation on natural logs and regular logarithmic functions including exponential functions such as e^x.  This video provides the formulas and equations as well as the rules that you need to apply use logarithmic differentiation to find the derivative of functions instead of using the product rule, quotient rule, or eve...

Related Rates - PDF Worksheet

Related Rates - Basic Introduction

This calculus video tutorial explains how to solve related rates problems using derivatives.  It shows you how to calculate the rate of change with respect to radius, height, surface area, or volume of a sphere, circle, cone, etc.  This video contains plenty of examples and practice problems such as the inverted conical tank problem, the ladder angle problem, similar triangle shadow p...

Curve Sketching

This calculus video tutorial provides a summary of the techniques of curve sketching.  It shows you how to graph polynomials, rational functions with horizontal & vertical asymptotes and square roots using the first derivative and the second derivative of the functions.  This video contains plenty of examples and practice problems for you to work on.

Optimization Problems - PDF Worksheet

Optimization Problems - Part 1

This calculus video explains how to solve optimization problems.  It explains how to solve the fence along the river problem, how to calculate the minimum distance between a point and a line, and how to maximize area while minimizing perimeter as in the case of fencing problems.

Optimization Problems - Part 2

This calculus video explains how to solve optimization problems.  It explains how to solve the fence along the river problem, how to calculate the minimum distance between a point and a line, and how to maximize area while minimizing perimeter as in the case of fencing problems.

Marginal Revenue - PDF Worksheet

Marginal Revenue

This calculus video tutorial explains the concept behind marginal revenue, marginal cost, marginal profit, average cost function, price and demand functions.  It shows you how to find the production level to minimize the average cost as well as how to find the minimum average cost so as to maximize the profit of a company.  This video contains plenty of examples and practice problems....

Linear Approximation - PDF Worksheet

Linear Approximation and Differentials

This calculus video tutorial shows you how to find the linear approximation L(x) of a function f(x) at some point a.  The linearization of f(x) is the tangent line function at f(a).  This video also shows you how to find and evaluate the differential dy.  It contains plenty of examples and practice problems.

Antiderivatives

This calculus video tutorial provides a basic introduction into antiderivatives.  It explains how to find the indefinite integral of polynomial functions as well as rational functions.

Calculus 1 - Integration

This calculus 1 video tutorial provides a basic introduction into integration.

Basic Integration Rules

This calculus video tutorial provides examples of basic integration rules with plenty of practice problems.  It explains how to find the definite and indefinite integral of polynomial functions, exponenial functions, rational functions, trigonometric functions, and square root / radical functions.  It also helps you to find the value of the definite integral / area under the curve usi...

Indefinite Integrals

This calculus video tutorial explains how to find the indefinite integral of function. It explains how to apply basic integration rules and formulas to help you integrate functions.  This video contains plenty of examples and practice problems.

Definite Integrals

This calculus video tutorial explains how to calculate the definite integral of function.  It provides a basic introduction into the concept of integration.  It provides plenty of examples and practice problems for you to work on.

Riemann Sums

This calculus video tutorial explains how to use Riemann Sums to approximate the area under the curve using left endpoints, right endpoints, and the midpoint rule.  It also shows you how to calculate the area by evaluating the definite integral by using the process associated with sigma notation & Limits at Infinity known as the definition of the definite integral.  This video con...

Finding The Area Using The Limit Definition & Sigma Notation

This  calculus video tutorial explains how to find the area using the limit definition with sigma notation and summation formulas.  It explains how to confirm your answer by evaluating the definite integral over a closed interval.  This video contains one example problem.

Fundamental Theorem of Calculus

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2.  This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function.  It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between d...

How To Integrate Using U-Substitution

This calculus video tutorial explains how to find the indefinite integral using u-substitution.  This video contains plenty of examples and practice problems including how to integrate rational functions, radical functions, trigonometric functions, and more.

Area Between Two Curves - PDF Worksheet

Area Between Two Curves

This calculus video tutorial provides a basic introduction in finding the area between two curves with respect to y and with respect to x.  It explains how to set up the definite integral to calculate the area of the shaded region bounded by the two curves.  In order to find the points of intersection, you need to set the two curves equal to each other and solve for x or y.  You ...

Disk and Washer Method - Calculus

This calculus video tutorial explains how to use the disk method and the washer method to calculate the volume of a solid when the region enclosed by the curves are rotated around the x axis, y axis, and non axis or another line parallel to the x or y axis.  This video contains plenty of examples and practice problems for you to work on.  It shows you how to set up and evaluate the de...

Shell Method - Volume of Revolution

This calculus video tutorial focuses on volumes of revolution.  It explains how to calculate the volume of a solid generated by rotating a region around the x axis, y axis, or non axis such as another line parallel to the x or y axis using the shell method or simply cylindrical shells.  This video shows you how to write the radius and height function in terms of x and y by the use of ...

Volumes Using Cross Sections

Volumes Using Cross Sections

This calculus video tutorial explains how to find the volume of a solid using cross sections perpendicular to the x-axis and y-axis consisting of squares, semicircles, rectangles with height three times the base, equilateral triangles, and isosceles right triangles with hypotenuse on the base of the solid and the leg on the x-y plane.  This video contains plenty of examples and practice pr...

Calculus 1 Final Exam Review - 40 Test Questions

Calculus 1 Final Exam Review

This calculus 1 final exam review contains 40 multiple choice and free response problems covering topics such as limits, continuity, derivatives, and integration as well as the application of those topics.

Arc Length - Calculus Problems

This calculus video tutorial explains how to calculate the arc length of a curve using a definite integral formula.  This video contains plenty of examples and practice including integration techniques such as u-substitution, factoring the gcf, factoring perfect square trinomials and simplify radicals.  This video shows you how to find the arc length in terms of x and in terms of y va...

Surface Area of Revolution By Integration

This calculus video tutorial explains how to find the surface area of revolution by integration.  It provides plenty of examples and practice problems finding the surface area generated by a region or curve when rotating about the x axis or y terms.  This video provides the two integral formulas that you need and how describes how to find the radius in terms of x or y variables.  ...