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| Subject: | Mathematics |
| Topic: | Algebra |
| Views: | 126,806 |
High School Mathematics: Algebra 2
Video Lectures
Displaying all 110 video lectures.
| I. Algebraic Expression | |
|---|---|
Lecture 1 Play Video |
Evaluating Algebraic Expressions I work through many examples of evaluating algebraic expressions when given values to substitute into the variables. |
Lecture 2 Play Video |
Simplifying Algebraic Expressions Combining Like Terms I define what a term is and what like terms are. I then work through many examples of simplifying algebraic expressions. |
Lecture 3 Play Video |
Writing Algebraic Expressions from Word Problems I work through many examples of writing algebraic expressions from word problems. |
| II. Solving Equations and Inequalities | |
Lecture 4 Play Video |
Solving Linear Equations 5 steps to solve many of the linear equations in algebra. |
Lecture 5 Play Video |
Solving 1 Variable Multi-Step Inequalities & Compound Inequalities I work through many examples of solving one variable inequalities including compound inequalities. I finish these examples by graphing the solutions on a number line. |
Lecture 6 Play Video |
Absolute Value Equations & Inequalities I work through many examples of solving absolute value equations and inequalities. "Separate" is misspelled on the initial chalk board, twice, sorry for the misspelling. If you have an equation or inequality with multiple absolute value functions check out this video https://www.youtube.com/watch?v=sdIoKu461WY |
Lecture 7 Play Video |
Function vs Relation I introduce the concepts of Function and Domain. I compare and contrast them with coordinates, graphs, and equations through many examples. EXAMPLES at 5:14 11:02 16:05 18:12 21:33 23:05 |
Lecture 8 Play Video |
Solving Equations with 2 Absolute Value Functions or More I explain how to solve equations with two absolute value functions or more and then work through 3 examples at 3:48 14:13 22:57In the last example after solving the equation I explain how to finish the problem if it were originally an inequality. |
| III. Types of Variations | |
Lecture 9 Play Video |
Direct Variation I introduce Direct Variation. I then work through many examples of recognizing it with t tables, graphs, and equations. I finish this video by working through three more examples of solving problems that involve direct variation. |
Lecture 10 Play Video |
Inverse Variation I introduce the concept of inverse variation and compare it to direct variation. I finish by working through many examples:) |
Lecture 11 Play Video |
Joint and Combined Variation I introduce and work through 4 examples of Joint Variation and Combined Variation. |
| IV. Linear Functions, Parallel and Perpendicular Lines | |
Lecture 12 Play Video |
Rate of Change Slope & Point Slope Equation of Lines Introduction to finding slope and graphing lines.Please check out my other lessons about Linear Functions: Graphing Lines in Slope-Intercept form y=mx+b https://www.youtube.com/watch?v=xyVJZKu7Euw Graphing lines using X & Y Intercepts https://www.youtube.com/watch?v=KtgddI4qIok Equations of Lines and Graphing https://www.youtube.com/watch?v=Wmi1EysOHUQ Equations of parallel and perpendicular lines https://www.youtube.com/watch?v=ECljEiIgX_M Regression Lines and Correlation with TI-84 https://www.youtube.com/watch?v=L_h7nqNqgPs Linear Functions, their Attributes, & Interpreting Slope and y-Intercept https://www.youtube.com/watch?v=qbNTy0oMq1c |
Lecture 13 Play Video |
Graphing Lines in Slope-Intercept form y=mx+b I introduce how to graph a line in slope intercept form. I also discuss graphing vertical and horizontal lines.Please check out my other lessons about Linear Functions: Graphing Lines with x-Intercepts and y-Intercepts https://www.youtube.com/watch?v=KtgddI4qIok Slope and Equations of Lines https://www.youtube.com/watch?v=xf8-BEdoSss Equations of Lines and Graphing https://www.youtube.com/watch?v=Wmi1EysOHUQ Equations of parallel and perpendicular lines https://www.youtube.com/watch?v=ECljEiIgX_M Linear Functions, their Attributes, & Interpreting Slope and y-Intercept https://www.youtube.com/watch?v=qbNTy0oMq1c |
Lecture 14 Play Video |
Graphing lines using X & Y Intercepts I go over graphing of linear functions using X & Y intercepts.Please check out more of my lessons about linear functions: Graphing Lines in Slope-Intercept form y=mx+b https://www.youtube.com/watch?v=xyVJZKu7Euw Slope and Equations of Lines https://www.youtube.com/watch?v=xf8-BEdoSss Equations of Lines and Graphing https://www.youtube.com/watch?v=Wmi1EysOHUQ Equations of parallel and perpendicular lines https://www.youtube.com/watch?v=ECljEiIgX_M Regression Lines and Correlation with TI-84 https://www.youtube.com/watch?v=L_h7nqNqgPs |
Lecture 15 Play Video |
Equations of Lines and Graphing Continued discussion about equations of lines and the three equation forms. Graphing of linear functions also included. Please check out my other lessons about Linear Functions: Graphing Lines in Slope-Intercept form y=mx+b https://www.youtube.com/watch?v=xyVJZKu7Euw Graphing lines using X & Y Intercepts https://www.youtube.com/watch?v=KtgddI4qIok Slope and Equations of Lines https://www.youtube.com/watch?v=xf8-BEdoSss Equations of parallel and perpendicular lines https://www.youtube.com/watch?v=ECljEiIgX_M Regression Lines and Correlation with TI-84 https://www.youtube.com/watch?v=L_h7nqNqgPs Linear Functions, their Attributes, & Interpreting Slope and y-Intercept https://www.youtube.com/watch?v=qbNTy0oMq1c |
Lecture 16 Play Video |
Equations of Parallel and Perpendicular Lines An introduction to finding the equations of lines that pass through a point and are parallel or perpendicular to a given line. Please check out my other lessons about Linear Functions: Graphing Lines in Slope-Intercept form y=mx+b https://www.youtube.com/watch?v=xyVJZKu7Euw Graphing lines using X & Y Intercepts https://www.youtube.com/watch?v=KtgddI4qIok Slope and Equations of Lines https://www.youtube.com/watch?v=xf8-BEdoSss Equations of Lines and Graphing https://www.youtube.com/watch?v=Wmi1EysOHUQ Regression Lines and Correlation with TI-84 https://www.youtube.com/watch?v=L_h7nqNqgPs Linear Functions, their Attributes, & Interpreting Slope and y-Intercept https://www.youtube.com/watch?v=qbNTy0oMq1c |
Lecture 17 Play Video |
Solving Linear Systems with Substitution and Linear Combination I take a system of linear equations and show you how to solve it with substition and then with linear combination. I show how you could find one answer, no answer, or many answers. |
Lecture 18 Play Video |
Given a Tangent Line & Circle Find the Point of Tangency In this lesson I start by setting up the example with you. Then at 15:08 I show you how to find the Point of Tangency when given the equation of the tangent line and a circle. In the first solution I work through the slope formula using the fact that the tangent line and radius are perpendicular. The second method starting at 26:00 I just use straight substitution to solve the system of equations between the tangent line and the circle. |
Lecture 19 Play Video |
Distance Between Point and Line I explain how to find the distance between a point and a line. |
| V. Graphing Linear and Non-Linear Inequalities | |
Lecture 20 Play Video |
Graphing Linear Inequalities I introduce how to graph 2 variable linear inequalities and work through 3 examples. |
Lecture 21 Play Video |
Graphing 1 Variable Inequalities I introduce graphing of vertical and horizontal lines and inequalities. |
Lecture 22 Play Video |
Graphing System of Linear Inequalities I work through two examples of graphing systems of inequalities. The first example involve linear inequalities and the second example has non-linear inequalities. |
Lecture 23 Play Video |
Solving 3 Variable Linear Systems Substitution / Gaussian Elimination I introduce how to solve 3 variable linear systems with the elimination method and then work through 2 examples that each have one unique solution. |
Lecture 24 Play Video |
Graphing Non-Linear Inequalities I introduce how to graph non-linear inequalities and then finish by working through three examples. |
| VI. Operations with Polynomials | |
Lecture 25 Play Video |
Determining Domain of Functions I discuss finding domain of functions with the use of graphs or graphing calculators. The domain of the last example is no solution. Identifying Domain & Range from a Graph https://www.youtube.com/watch?v=1UAKQ_2yfxI&list=PLGbL7EvScm... |
Lecture 26 Play Video |
Properties of Exponents Multiplication & Power I introduce the multiplication property and power property of exponents. I finish off this video working though any examples. |
Lecture 27 Play Video |
Multiplying Polynomials Distributive Property I work through many examples of multiplying polynomials including binomial, trinomials, and squaring a binomial. |
Lecture 28 Play Video |
Properties of Exponents Simplifying Quotients Negative Exponents I explain the Division Property of Exponents and then work through many examples involving multiplication and division with positive and negative exponents. |
Lecture 29 Play Video |
Negative Exponents and Power of Zero I introduce the concepts of Negative Exponents and the Power of Zero. I explain how they work using the Division Property. I finish by working through many examples. |
| VII. Factoring Techniques | |
Lecture 30 Play Video |
Factoring Overview I go over some common method of factoring binomials and trinomials. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 31 Play Video |
Factoring Monomials from a Polynomial I explain how to find the GCF and then factor it out of a polynomial. I finish by working through many examples. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 32 Play Video |
Factoring Polynomials Difference of Squares I explain how to factor the "Difference of Squares" pattern and then work through many examples to help you understand the process. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 33 Play Video |
Factoring Polynomials Sum Difference of Cubes I explain how to factor the Sum of Cubes and Difference of Cubes patterns and then work through many examples to help you understand the process. These are a special type of Polynomials. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 34 Play Video |
Factoring Quadratic Trinomial x^2+bx+c Polynomial I explain how to factor quadratic trinomials that have a leading coefficient of 1 and then work through many examples. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 35 Play Video |
Factoring Quadratic Trinomial ax^2+bx+c I show you how to factor quadratic expressions that have a leading coefficient not equal to one without resorting to "guess and check".Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
Lecture 36 Play Video |
Factoring by Grouping I work through 4 examples of factoring expressions and solving equations using factoring by grouping. Here you can find a selection of my Factoring Lessons http://www.profrobbob.com/algebra-2/factoring-techniques |
| VIII. More Operations with Polynomials | |
Lecture 37 Play Video |
Simplifying Complex Fractions If you have a fraction in the numerator or denominator of your fraction, then you have a complex fraction. I show you how to simplify complex fractions in this video. In my 4th example I leave an x off the end of my answer. It should be (y+x)/(4y+3x) |
Lecture 38 Play Video |
Cooperative Work Word Problems (Time to Finish) Having trouble determining how long those two painters are going to take to finish or how long two pumps will take to empty a pool? I work through two work problems to help you out:) |
Lecture 39 Play Video |
Alligation or Percent Mixture Problems Do you need to increase or decrease the salinity of your solution, or mix two different strengths to make one solution of a given percentage of strength. I work through four example of mixture problems to help you out:) |
| IX. Quadratic Equations & Graphing Parabolas | |
Lecture 40 Play Video |
Graphing Parabolas w/ vertex & intercepts I introduce the standard form of parabola and relate it to the transformations we just learned. I then graph a parabola in it's general form finding its vertex and X & Y intercepts. |
Lecture 41 Play Video |
Parabola Applications Maximizing Minimizing Reflectors, etc I give examples of how parabolas apply to real life and work through two example...one about maximum height of a thrown object, and a second about maximizing area of a rectangle with a fixed perimeter |
| X. Radicals and Rational Exponents | |
Lecture 42 Play Video |
Simplifying Numerical Square Roots I introduce how to simplify square roots involving numerical values. I finish by working through 5 examples. |
Lecture 43 Play Video |
Simplifying Square Roots (Radicals) with Variables I explain how to simplify square roots that involve variables when those variables represent all real numbers. There is an annotation correction for the last question that you will not see if using an iPad. I should have wrote Square Root(3Y)....I forgot the 3 |
Lecture 44 Play Video |
Multiplying & Dividing Radicals Properties of Roots I introduce finding Real Roots of Numbers and then expand into using the Property of Roots to simplify algebraic expressions that involve variables. Special care is taken to explain the differences between taking an even root versus taking an odd root. |
Lecture 45 Play Video |
Solving Equations with Radicals I work through four examples of solving equations involving radicals. At minute 14:33 I dropped the negative sign when I copied my check...so my check was incorrect:( The 3rd example has no solution because -2 does not equal 2 |
Lecture 46 Play Video |
Equations with Radicals I work through four examples of solving equations involving radicals. Examples at 1:47 4:47 10:13 14:51 In the second example I show a division of -2 on the left side, this is mis-copied and the error does not carry through the rest of the example. |
Lecture 47 Play Video |
Rational Exponents & Simplifying Radicals I introduce rational exponents and work through many examples of simplifying expressions with rational exponents and radicals to help your understanding. |
Lecture 48 Play Video |
Solving Equations Rational Exponents I work through three examples of how to solve equations with rational exponents. |
| XI. Pythagorean Theorem, Quadratic Equation, Rationalizing Denominators | |
Lecture 49 Play Video |
Pythagorean Theorem I explain how the Pythagorean Theorem allows you to find the length of an unknown side of a right triangle. |
Lecture 50 Play Video |
Pythagorean Theorem Algebraic Examples I work through three more advanced examples of solving for a missing side of a right triangle using the Pythagorean Theorem. |
Lecture 51 Play Video |
Converse Pythagorean Theorem & Triples I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. |
Lecture 52 Play Video |
Rationalizing Square Roots from Monomial Denominator I work through three examples of how to rationalize square roots from the denominator of a fratction when it is a monomial. |
Lecture 53 Play Video |
Rationalizing Square Roots from Binomial Denominator I work through three examples showing you how to rationalize square roots from a binomial denominator |
Lecture 54 Play Video |
Completing the Square to Solve Quadratic Equations I introduce how to solve quadratic equations by completing the square. |
Lecture 55 Play Video |
Quadratic Formula Derivation I show you how Completing The Square helps us derive the Quadratic Formula from the standard form of a quadratic equation. |
Lecture 56 Play Video |
Quadratic Formula to Solve Quadratic Equations I work through three examples of solving Quadratic Equations using the Quadratic Formula. Along the way I also give some cautionary notes to help make sure you don't make sign errors or divide away one of your answers. |
| XII. Introduction to Complex Numbers | |
Lecture 57 Play Video |
Complex (imaginary) Numbers Part 1 I introduce complex numbers, show how i-squared is -1, show how to graph them, and then go through a number of algebraic examples showing how to work with them. |
Lecture 58 Play Video |
Complex (imaginary) Numbers Part 2 I restart and finish the example from Complex Numbers Part 1. I solve a quadratic equation and find a solution that is a pair of complex numbers. I then graph the parabola to explain why we found the solution to be imaginary. |
| XIII. Solving Non-Linear Systems Substitution and Elimination Method | |
Lecture 59 Play Video |
2 Variable Non Linear Systems Substitution Method I explain and work through 2 examples of solving 2 Variable Non Linear Systems with the Substitution Method. |
Lecture 60 Play Video |
2 Variable Non Linear Systems Addition/Elimination Method I explain and work through 2 examples of solving 2 Variable Non Linear Systems with the Addition Method. |
Lecture 61 Play Video |
Long Division of Polynomials I introduce long division and go over two examples. I also preview how long division will allow you to solve higher order equations. |
Lecture 62 Play Video |
Synthetic Division & Remainder Theorem I introduce Synthetic Division and the Remainder Theorem. Synthetic division is a short cut to long division when you are dividing by a binomial in the form of (x-c). The Remainder Theorm is how you can use Synthetic Division to aid in evaluating polynomials at particular x values. |
Lecture 63 Play Video |
Finding polynomials using the Linear Factorization Theorem Given the degree, the real and imaginary solutions, and a point the graph goes through, I use the Linear Factorization Theorem to find the original polynomial function.In the last problem, the question would have to specify that the coefficients of the polynomial are real. Otherwise complex solutions don't necessarily have to occur in conjugate pairs. |
Lecture 64 Play Video |
Even and Odd Functions Many Examples I explain how to determine if a function is even, odd, or neither and work through examples at Even Functions 3:39 5:03 8:33 10:42 11:23 Odd and Even Functions, or Neither 15:27 17:36 19:57 22:47 29:24 |
Lecture 65 Play Video |
Solving Higher Order Polynomials Pt 1 Rational Zeros Descartes Rule In a 2 part video I show you how to solve equations with a degree larger than 2 without the aid of a graphing calculator or computer. |
Lecture 66 Play Video |
Solving Higher Order Polynomials Pt 2 Rational Zeros Descartes Rule In a 2 part video I show you how to solve equations with a degree larger than 2 without the aid of a graphing calculator or computer. |
Lecture 67 Play Video |
Polynomial Graphs Part 1 I introduce polynomial functions and give examples of what their graphs may look like. I then go over how to determine the End Behavior of these graphs. Part 2 will include finding y-intercepts, x-intercepts and their multiplicity, determining even or odd, and sketching the function.At minute 2:34 I say that f(x)=4 has an exponent of 0 instead of a degree of 0.At 7:04 I incorrectly draw y=-1/x instead of y=1/x...though my explaining about what a polynomial graph is still correct otherwise. An annotation was added but you won't see it with an iPad, iPod, or iPhone. |
Lecture 68 Play Video |
Polynomial Graphs Part 2 I continue my introduction of graphing polynomials without the assistance of a graphing calculator. I go over x-int & y-int, and I remind you how to determine if a function is even or odd to aid in graphing. |
Lecture 69 Play Video |
Combining Functions & Function Operations I go over combining functions through addition, subtraction, multiplication, and division. I also explain the restriction on domain of these combined functions |
Lecture 70 Play Video |
Combining Functions Function Operations I go over combining functions through addition, subtraction, multiplication, and division. I also explain the restriction on domain of these combined functions.At the end of my last example I accidentally multiplied by 1/x. I should have multiplied by x/1 as I explained and got 3x+1 as an answer. At minute 6:04 x cannot equal -1 |
Lecture 71 Play Video |
Composition of Functions I introduce composition of functions and discuss domain. |
Lecture 72 Play Video |
Graphing Exponential Functions w/ t-table or Transformations I explain how to graph exponential functions using tables and transformations from a parent function. Properties of these graphs are also discussed such as domain, range, asymptotes, etc. |
Lecture 73 Play Video |
Inverse Functions A graphic and algebraic approach to finding inverse functions. |
Lecture 74 Play Video |
Logarithm Introduction I introduce logarithms and show how to convert from logarithm form to exponential form. Yes, I know I mispelled logarithm on the chalk board. I blame it on the cold medicine I was taking! |
Lecture 75 Play Video |
Graphing Logarithms I introduce graphing Logarithms (which I know is mispelled!) and expain how they are an inverse of exponential functions. At 1:48 I misspoke and stated that all exponential growth functions pass through (1,0), but the point is actually (0,1) |
Lecture 76 Play Video |
Using Properties of Logarithms to Expand Logs I introduce the 3 properties of logarithms and use them in multiple examples about how to expand logarithmic expressions. Part 2 will include examples of condensing log expressions.There is an annotation correction at 9:43 but you will not see it without Flash. I should have wrote -3 instead of -5. |
Lecture 77 Play Video |
Using Properties of Logarithms to Condense Logs In this video I continue covering the uses of the properties of logarithms to condense logarithmic expressions. |
Lecture 78 Play Video |
Change of Base Formula Logarithms I start with examples of evaluating log expressions that don't require a calculator, then compare that with a problem that does require the change of base formula. |
Lecture 79 Play Video |
Solving Equations with Logarithms Pt 1 PLEASE NOTE my final answer at 10:26 should be 3.968. There is an annotation correction but you can only see this if using FLASH. In a three part video I do many examples of solving equations using logarithms to move the variable out of the exponent. In part two we remove logarithms from the equation to solve for X. |
Lecture 80 Play Video |
Solving Equations with Logarithms Pt 2 In a three part video I do many examples of solving equations using logarithms to move the variable out of the exponent. In part two we remove logarithms from the equation to solve for X. |
Lecture 81 Play Video |
Solving Equations with Logarithms Pt 3 In a three part video I do many examples of solving equations using logarithms to move the variable out of the exponent. In part three I do examples with the log function on both sides of the equation. |
Lecture 82 Play Video |
Finding vertical asymptotes and holes of rational equations Finding vertical asymptotes and holes of rational equations. |
Lecture 83 Play Video |
Horizontal Asymptotes of rational equations Using limits, I explain how to find how to find horizontal asymptotes of rational equations. |
Lecture 84 Play Video |
Graphing Rational Functions Part 1 I show how to graph a rational function with a vertical and horizontal asymptote, x-intercepts, y-intercepts, and even or odd symmetry. |
Lecture 85 Play Video |
Graphing Rational Functions Part 2 This rational function I graph has a horizontal asymptoto, a vertical asymptote, and a hole. |
Lecture 86 Play Video |
Graphing Rational Functions with Slant Asymptotes I show you how to find slant asymptotes of rational equations. |
Lecture 87 Play Video |
Rational Algebraic Expressions Simplified Continuing to practice our new factoring skills,we work through many examples of simplifying algebraic rational expressions. NOTE: AT MINUTE 11:06 I LOST A FACTOR OF 2!!! The rest of that example is correct including my discussion about the restrictions of the domain. Sorry for the error. |
Lecture 88 Play Video |
Sum and Difference of Rational Expressions I work through multiple examples of how to add and subtract algebraic fractions. I finish with an advanced question where we must find the unknown numerators of two fractions being added given the final sum of that addition. |
Lecture 89 Play Video |
Product & Quotient of Rational Expressions Continuing our studies of algebraic fractions, we look at simplifying rational expressions that involve multiplication and division. |
Lecture 90 Play Video |
Solving Rational Equations We start looking at solving equations and inequalities that involve fractions. |
Lecture 91 Play Video |
Solving Rational Inequalities I introduce solving rational inequalities. After showing you the steps you should follow for these types of problems I work through two examples. In the second example I write less than 0 in the second through forth line of work. That should read less than or equal to, an annotation correction has been made but you will not see this without FLASH. |
Lecture 92 Play Video |
Factorial Notation I introduce the Factorial Notation or symbol. I then work through a number of examples of how to evaluate factorials, and examples of factorials in sequence notation and summation notation. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 93 Play Video |
Summation Notation (Sigma) I introduce the Summation Notation...Sigma...and work through five examples related to the topic of sequences. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 94 Play Video |
Intro to Sequences I introduce the concept and notation for sequences and finish with a couple of graphing examples. I then explain recursive formulas and do another 2 examples showing you how they work. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 95 Play Video |
Arithmetic Sequence Introduction I introduce the concept of Arithmetic Sequences and work through some examples.For all my lessons so far on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 96 Play Video |
Arithmetic Means I work through 2 examples of how to find Arithmetic Means. Arithmetic means are missing terms within an arithmetic sequence. |
Lecture 97 Play Video |
Partial Sum Arithmetic Sequence I introduce the formula for finding the sum of 'n' terms of an arithmetic sequence. I then work through several examples. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 98 Play Video |
Intro to Geometric Sequences I introduce the concept of Geometric Sequences and writing the general formula for this type of sequence. I finish by working through several examples. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 99 Play Video |
Geometric Means in a Geometric Sequence I explain how to find missing Geometric Means within a Geometric Sequence. I finish with two examples...first one relatively easy...the second is not so much:) For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 100 Play Video |
Partial Sum Geometric Sequences I introduce the formula for finding the sum of 'n' terms of an geometric sequence. I then work through several examples. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 101 Play Video |
Infinite Sum Geometric Series I introduce the formula for finding the Infinite Sum of a Geometric Series, explain briefly how it works, and I then work through multiple examples. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 102 Play Video |
Converting Repeating Decimal to a Fraction I explain how finding the sum of an infinite geometric series allows you to convert a repeating decimal into a fraction. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-ar... |
Lecture 103 Play Video |
Graphing Parabolas in Standard Form I introduce the basic structure of Parabolas. After the introductory notes, I work through three examples from easy to the hardest example last. These examples are put into Standard Form before graphing by completing the square when needed. |
Lecture 104 Play Video |
Applications of Parabolas in Standard Form I work through 2 examples of word problems involving parabolas. |
Lecture 105 Play Video |
Graphing Ellipses & Circles I introduce the 4 conic sections, explain the basic structure of Ellipses & Circles, and finish by working through three graphing examples after putting these equations in standard form. |
Lecture 106 Play Video |
Application of Ellipses I work through three example of Applications of Ellipses. |
Lecture 107 Play Video |
Finding Equations of Conics from Given Conditions Given information about the graphs of conic sections, I work through 4 examples of finding equations of those conic sections. |
Lecture 108 Play Video |
Graphing Hyperbolas in Standard Form I introduce the basic structure of hyperbolas discussing how to locate the vertices, foci, transverse axis, conjugate axis, asymptotes, etc. I finish by working through multiple examples. |
Lecture 109 Play Video |
Application of Hyperbolas I work through 2 examples of Application of Hyperbolas |
Lecture 110 Play Video |
Binomial Theorem Introduction to Raise Binomials to High Powers I explain how Pascal's Triangle and the Binomial Theorem help you to quickly expand binomials raised to relatively high powers. My last example is using the Binomial Theorem to find a specific term within an expansion. |
