precalculus

Pre-Calculus Exponential Function This clip provides an introduction to Exponential Functions in Pre-CalculusDifferential Equations. More information can be found at .

Precalculus - The Number e and the Natural Logarithm Free Math Help at Brightstorm! How the number e is defined.

Precalculus - Properties of Logarithms Free Math Help at Brightstorm! How to evaluate logarithms when the argument is a recognizable power of the base.

Precalculus - Symmetry of Graphs: Odd and Even Functions Free Math Help at Brightstorm! How to recognize the graph of an even or odd function.

Precalculus Ma 112 Section 2.2 Translations of Absolute Value Functions The graphs of y=A|xh|+k are illustrated.

Precalculus yeah just something quick, dont expect much...

Trigonometry & Precalculus Tutor - Sample1 - Complex Numbers This is a sample video from the 5 hour "Trigonometry and Precalculus Tutor" DVD from

Precalculus: The Essentials that Students Seem to Forget for the FULL LARGER AND FREE version of this video. Covers essential skills from algebra and trigonometry that are needed to be successful in calculus. Uusally in solving a problem, the calculus part lasts 1 minute but if the student cannot do the algebraic manipulation after that he/she cannot solve the problem. .

Trigonometry & Precalculus Tutor - Sample3 - Sin, Cos, Tan This is a sample video from the 5 hour "Trigonometry and Precalculus Tutor" DVD from

Pre-Calculus: Graphing Period, Amplitude, Shifts Professor Burger shows you how to use all of the tools at your disposal to effectively graph complicated trigonometric functions involving sine and cosine. He will show you how to recognize changes in period, amplitude, and vertical and phase shifts in the equation and how to correctly incorporate them into your trig function graph. He will also show you a three-step process of translating the equation, graphing the intermediate steps, and finailzing the graph. The examples you will use are y = -2sin(x- Pi/4)+1 and y = 2cos(Pi*x)-2. These equations both involve complications like those listed above (as indicated by their added constants and coefficients). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards ...

Precalculus - DeMoivre's Theorem Free Math Help at Brightstorm! How to raise a complex number to an integer power using DeMoivre's Theorem.

Pre-Calculus: Graph Sine, Cosine with Coefficients After learning how to graph the sine and cosine functions, now we will modify the graphs of these functions by adding in coefficients. Professor Burgers shows you a simple, 2-step process to determine the graphs. First, he will teach you about changes in the coefficient of the function. The introduction of a coefficient changes the amplitude of the graphed trigonometric function (sine or cosine). This is difference between AM (amplitude modulation) radio stations; changes in amplitude produce AM radio signals.The amplitude is equal to the absolute value of the coefficient of the trigonometric function. Prof Burger will also show you how changing the coefficient of the independent variable changes the period of the graphed sine or cosine function. This is the difference in FM radio stations (frequency modulation). The period =(2 Pi) / coefficient of X. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at ...

Pre-Calculus Lesson 4.1 part1 I am setting the stage for introducing exponential and logarithmic functions by revisiting inverse functions. This is a sample of what we do at FMI. I am nervous being on camera and I am sure math teachers can pick up a few mis-spoken terms. Beyond that, I hope to help shed light on the troublesome section called, "logarithms".

Calculus I - Lecture 1 - A Review of Pre-Calculus

Pre-Calculus: Geometric Vectors Watch more free lectures and examples of Pre-Calculus at Other subjects include Algebra 1/2, Pre Algebra, Geometry, Calculus, Statistics, Biology, Chemistry, Physics, and Computer Science. -All lectures are broken down by individual topics -No more wasted time -Just search and jump directly to the answer

Pre Calculus: Logarithms When you are looking for a logarithm you are really looking to find the power that the given base must be raised to produce a given number. If it sounds complicated it'll make more sense after we are done.

Graphing Exponential Functions: Useful Patterns from Thinkwell Precalculus Wish Professor Burger was your teacher? He can be! Click the link to learn more about Thinkwell's Online Video Precalculus Course.

Pre-Calculus: Using Double-Angle Identities Double-angle identities allow you to simplify trigonometric equations with a 2 as the coefficient. (similar formulae exist for trig functions with 1/2 or 3 as the coefficient). In this lesson, Professor Burger uses the equation cos2x = sinx as an example. If this equation were simply cos x = sinx, we could divide to re-write the formula as sinx/cosx = tan x = 0, but in this case, we have a coefficient in advance of one of the arguments, which is why we need to use the double-angle formulas. After using the double-angle formulas in the provided example to simplify, you can further simplify these equations using trig identities (like the Pythagorean identity) and factoring. These tools will help you to solve many trig equations. The duble angle identities for sine, cosine, tangent and cotangent are: sin2x = 2sinxcosx, cos2x = cos^2x-sin^2x, tan 2x = 2tanx/(1-tan^2x), and cot2x = (cot^2x-1)/2cotx. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics ...

Precalculus - The Complex Plane Free Math Help at Brightstorm! How to plot complex numbers on the complex plane.

Trigonometry & Precalculus Tutor - Sample2 - Angles This is a sample video from the 5 hour "Trigonometry and Precalculus Tutor" DVD from

Precalculus - Logarithmic Functions Free Math Help at Brightstorm! How to graph logarithmic functions.

Pre-calculus: How to Determine If a Function Is Even or Odd In this lesson, Professor Burger teaches you how to determine if a function is even, odd, or neither. He begins by defining even and odd functions and graphing them. A function is even if the function of negative x is equal to the function of x. The graph of an even function is symetric across the y-axis. A function is odd if the function of negative x is equal to the negative function of x. The graph of an odd function is symetric around the origin. After defining these, Professor Burger identifies whether sin and cos are even or odd, and then shows several more examples, including tan x, sin (2x), (sin x)/x, and x cos x. Lastly, Professor Burger describes and illustrates what a function looks like that is neither odd nor even. In this case, it is not symmetric to the Y axis or the origin.Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he ...

Precalculus - Exponential Growth and Decay Free Math Help at Brightstorm! How to find the doubling time of a population when the growth rate is given.

Graphing Logarithmic Functions, Part 2 of 2, from Thinkwell Precalculus Wish Professor Burger was your teacher? He can be! Click the link to learn more about Thinkwell's Online Video Precalculus Course.

Ma 112: Precalculus: Section 2.2 The Square root function Professor Zap gives lectures on stretching shifting and reflecting the graph of the square root function

Precalculus Ma 112: Section 1.8 Completing the square #1 Method of completing the square. Every rectangle can be expressed as the difference of two squares

Pre-Calculus: Graph Sine, Cosine with Phase Shifts Now that you have learned how to graph the sine and cosine functions, Professor Burger asks the question ""How does changing the x-value affect the graph?"" He shows you how adding or subtracting to the x-value can actually change graphs of the sine and cosine functions, a process called translation. Professor Burger also warns you about classic mistake #8, reminding you that adding and subtracting to the x-value actually creates the opposite effect when graphed (adding to X moves the graph in the negative direction). Finally, Professor Burger shows you how to simplify the equation y = 3sin(x + Pi/2) using translation. The key lies in the fact that adding or subtracting pi/2 or 2*pi to a sine or cosine function means there are some shortcuts that you can take to determine what the graph of the function looks like (eg the graph of sine of (x+pi/2) is the same as the graph of cosine and the same as the graph of sine of (x+2*pi)). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude ...

Precalculus Ma 112 Section 1.2 Solving inequalities using sign charts The Professor describes how to solve rational inequalities using sign charts.

Pre-Calculus: Solving Trig Equations by Factoring Professor Burger teaches how to solve more complicated equations (tanx * sin^2x = tan x) involving trigonometric functions in this lesson. Solving these types of problems involve use of trig identities, factoring, etc and how to find all of the viable solutions for these types of problems. In the problem listed above, Professor Burger will show you how to factor the equation in order to help simplify and then solve it. Professor Burger also gives a warning about cancelling out in equations that involve trig functions. By canceling, you risk missing valid solutions and solution sets. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. About Professor Edward Burger: Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for ...

Pre-Calculus: Intro to Sine and Cosine Graphs In this lesson, you will examine the graphs of both the following trigonometric functions: sine and cosine. rofessor Burger will show you haw to graph sin and cos and teach you the acronym ASTC (All Students Take Calculus). Prof Burger also defines and shows you where to look for to evaluate the amplitude, period, and zeros of the sine and cosine graphs and shows you how to find and determine the maximums and mininimums for both sine and cosine functions. Finally, he will compare the graphs of the two functions, demonstrating that they have an identical shape with merely a shift between them to differentiate the two functions from each other. You'll also learn the importance of the pi/2 interval in plotting and remembering the trigonometric function graphs of cosine and sine. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has ...

Pre-Calculus: Complex Numbers - Trig or Polar Form This lesson instructs you on how to convert complex numbers into trig form (also known as polar form). Complex numbers, written in the form (a + bi), are an extension of the real numbers obtained by adjoining an imaginary unit, denoted by i, which is the square root of negative 1. To convert complex numbers into trigonometric or polar form, Professor Burger first walks you through sketching a graph of the number and drawing a right triangle. From that, he shows you how to use the trig properties to find the unknown values and the modulus. Then, you plug these falues into the trig form and determine the angle. To illustrate this method, Professor Burger walks you through an example in which he converts (-(3^1/2), +i) to polar or trigonometric form. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of ...

Pre-Calculus: Inverse Trig Function Equations An inverse function asks the question ""What is the angle whose function is X."" In this lesson, you will learn to solve equations that include an inverse function (arc sine, arc cosine, arc tangent, etc). Professor Burger first shows you how to untangle the equation, re-writing it so that you can understand for what you are solving. He will also show you examples when there may be an infinite numbers of solutions, and how you will need to correctly denote this answer. Finally, he suggests that you check your answers by graphing, and shows you how. This lesson will include several examples of evaluating problems involving arc sin, arc cos, etc. You will begin by seeing how to approach and solve a problem like 'inverse cosine of cosine x = pi/4' While it would seem that the cosine and inverse cosine here would cancel, you will learn in this lesson why this is not the case and how you can correctly solve for the answer. This lesson is perfect for review for a CLEP test, mid-term, final, summer school, or personal growth! Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams ...

Pre-Calculus: Adding Vectors & Multiplying Scalars Professor Burger shows you how to add and subtract vectors and use scalar multiplication to elongate or shrink vectors while maintaining their direction angle. The magnitude of a vector can be altered with scalar multiplication. A scalar is simply a number (positive or negative or a fraction) used to multiply a vector by, with the vector keeping its same direction and changing magnitude. Vectors can also be added and subtracted by simply adding or subtracting the components. It is also simple to find the answer graphically by creating a parallelogram with the two vectors, which Professor Burger demonstrates. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell ...

Precalculus mat142 Domain of a composite function and inverse functions Finding the domain of an inverse function and showing that two functions are inverses of each other. Showing that a composit

Graphing Logarithmic Functions, Part 1 of 2, from Thinkwell Precalculus Wish Professor Burger was your teacher? He can be! Click the link to learn more about Thinkwell's Online Video Precalculus Course.

Pre-Calculus: Polar & Rectangular Coordinates You will learn how to convert from polar coordinates to rectangular coordinates (or Cartesian coordinates or coordinates in a Cartesian plane), and vice versa in this lesson. First, Professor Berger gives you an overview of polar and rectangular coordinates. Then, you will learn how to convert a polar cordinate (r, Theta) into a rectangular coordinate (x, y), using the equations x = rcosTheta and y = rsinTheta. To convert from rectangular to polar, you will use the equations r = root(x^2 + y^2) and Theta = arctan (y/x). To illustrate the use of all of these formulae, Professor Burger will walk you through the conversion of (3, pi/6) from polar to rectangular coordinates and the conversion of (-1.1) in rectangular coordinates to equivalent polar coordinates. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of ...

Precalculus Section 5.5 Part 3 WEBSITE: Properties and Laws of Logarithm

Pre-Calculus: Graphing the tangent This lesson introduces the graphs of all the other trigonometric functions (cosecant, secant, tangent, cotangent), using the sine and cosine graphs for points of comparison. Professor Burger shows you how to graph tanx using the identity tanx = sinx/cosx. This graph has asymptotes at all the multiples of Pi/2 and a period of Pi/absolute value of b. Next, you learn to graph secx, which is equal to 1/cosx. This means that secant has an asymptote anywhere cosx = 0. Next, Prof. Burger graphs cosecant, using the identity that cscx = 1/sinx. This graph is identical to secx, but shifted, like the relationship between sin and cos. Finally, you will learn to graph cotx, which is equal to 1/tanx. This means that there will be asymptote where tanx = 0, and zeros where tanx has asymptotes. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a ...

Pre-Calculus: Fundamental Trigonometric Identities In this lesson, Professor Burger will reveal and explain several basic trigonometric identity proofs. He will begin by reviewing the definitions of sine, cosine, and tangent. From these definititions, he will prove tanx = sinx/cosx. Then, he uses the Pythagorean Theorem to show you the proofs for 3 more trigonometric identities: cos^2 + sin^2 = 1, 1+ tan^2 = sec^2, and 1 + cot^2 = csc^2. Finally, Professor Burger will tell you which of these identities and proofs you need to memorize and which you can derive simply and don't need to fret about memorizing in advance of your test. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers angles in degrees and radians, trigonometric functions, trigonometric expressions, trigonometric equations, vectors, complex numbers, and more. Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit .

Precalculus - Unit Circle The lesson focuses on determining trigonometric ratios using a unit circle. The primary focus will concern angles that are multiples of 90 degrees.

Pre-Calculus Lesson 4.1 part2 I am setting the stage for introducing exponential and logarithmic functions by revisiting inverse functions. This is a sample of what we do at FMI. I am nervous being on camera and I am sure math teachers can pick up a few mis-spoken terms. Beyond that, I hope to help shed light on the troublesome section called, "logarithms".

Precalculus - The Resultant of Two Forces Free Math Help at Brightstorm! How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.