MathScienceTutor

Functions and Graphs

This precalculus provides a basic introduction into functions and graphs.  It contains plenty of examples and multiple choice practice problems.

Complex Numbers - PDF Worksheet

Complex Numbers - Practice Problems

This video tutorial provides a multiple choice quiz on complex numbers.  It contains plenty of examples and practice problems.

How To Graph Polynomial Functions

This algebra 2 and precalculus video tutorial explains how to graph polynomial functions by finding x intercepts or finding zeros and plotting it using end behavior and multiplicity.  This video also shows you how to factor a cubic polynomial function to convert it from standard form to factored form.  This video contains plenty of examples and practice problems.

Logarithms - PDF Worksheet

Logarithms - Practice Problems

This video tutorial provides plenty of practice problems on logarithms including multiple choice problems as well as free response problems.

Polar Coordinates - Basic Introduction

This Precalculus video tutorial provides a basic introduction into polar coordinates.  It explains how to convert polar coordinates to rectangular coordinates and how to graph polar coordinates by plotting points using the radius of a circle and the angle measured counter clockwise from the positive x axis.  In addition, it explains how to convert rectangular coordinates to polar coor...

Graphing Polar Equations

This precalculus video tutorial focuses on graphing polar equations.  It explains how to graph circles, limacons, cardiods, rose curves, and lemniscates.  It provides plenty of examples and practice problems.

De Moivre's Theorem - PDF Worksheet

Complex Numbers In Polar Form - De Moivre's Theorem

This precalculus video tutorial focuses on complex numbers in polar form and de moivre's theorem.  It explains how to find the products, quotients, powers and nth roots of complex numbers in polar form as well as converting it to and from rectangular form.  This video contains plenty of examples and practice problems and is useful for high school and college students taking precalculu...

Vectors - Precalculus

This precalculus video tutorial explains the basics of vectors.  It contains plenty of examples and practice problems of vector operations such as addition, subtraction and scalar multiplication as well as finding the magnitude and direction angle of the resultant force vector.  This video is useful for high school and college students taking vectors in precalculus, calculus, physics,...

Dot Product of Two Vectors

Dot Product of Two Vectors

This physics & precalculus video tutorial explains how to find dot product of two vectors and how to find the angle between vectors.  In addition, it explains how to determine if two vectors are orthogonal / perpendicular, parallel, or neither using the dot product formula and by analyzing the slope.  This video contains plenty of examples and practice problems.

Partial Fraction Decomposition

This precalculus video tutorial provides a basic introduction into partial fraction decomposition.  It contains plenty of examples and practice problems with repeated linear factors and repeated quadratic factors.  Partial fraction decomposition is the process of taking a complex fraction and breaking it into multiple simpler fractions.  It's the reverse of adding combining two f...

Linear Programming - PDF Worksheet

Linear Programming

This precalculus video tutorial provides a basic introduction into linear programming.  It explains how to write the objective function and constraints of linear programming word problems.  It discusses how to find all of the corner points including the point of intersection where you have to solve the system of linear inequalities.  It discusses which region to shade and how to ...

Conic Sections - Basic Introduction

This precalculus video tutorial provides a basic introduction into conic sections such as circles, ellipses, hyperbolas, and parabolas.

Graphing Circles & Writing Equations

This video tutorial explains how to graph circles in standard and how to write equations of circles in standard form.  This video on conic sections contains plenty of examples and practice problems.

Writing Equations of Ellipses - PDF Worksheet

Writing Equations of Ellipses In Standard Form

This video tutorial explains how to write the equation of an ellipse in standard form as well as how to graph the ellipse not in standard form.  it explains how to use the center of the ellipse and the foci to determine the values of a, b, and c.  It also explains how to write the equation of the ellipse if you're given the 4 vertices  of the ellipse - the major vertices as well ...

Hyperbolas - Conic Sections - PDF Worksheet

Hyperbolas - Conic Sections

This conic sections video tutorial provides a basic introduction into hyperbolas.  It explains how to graph hyperbolas and how to find the coordinates of the center, vertices, and foci.  In addition, it explains how to write the equations of the asymptotes.

Parabolas - PDF Worksheet

Finding The Focus and Directrix of a Parabola

This video tutorial provides a basic introduction into parabolas and conic sections.  It explains how to graph parabolas in standard form and how to graph parabolas with the focus and directrix.  The vertex of the parabola can be identified by analyzing the equation in standard form.

Conic Sections Quiz - PDF Worksheet

Conic Sections Quiz

This precalculus video tutorial explains how to graph conic sections in standard form such as parabolas, hyperbolas, ellipses, and circles.  This video contains plenty of examples and practice problems.

Parametric Equations

Arithmetic Sequences - PDF Worksheet

Arithmetic Sequences

This video provides a basic introduction into arithmetic sequences and series.  It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic sequence.  It also discusses how to distinguish a finite sequence from an infinite series.  It also includes a few word problems.

Geometric Sequences - PDF Worksheet