المصدر: فيديو / دورة في مادة الجبر - TTC VIDEO - Algebra I (2009) في منتدى : قسم الرياضيات TTC VIDEO - Algebra I (2009) | TTC VIDEO - Algebra I (2009) DVD-Rip | AVI | XviD MPEG4 @ 1 Mbit/s | 640x480 | MP3 Stereo @ 128 Kbit/s 48 KHz | 18 Hours | 6.74 GB Genre: Mathematics, Algebra | Label: The Great Courses | Language: English “ Because algebra involves a new way of thinking, many students find it especially challenging. Many parents also find it to be the area where they have the most trouble helping their high-school-age children. With 36 half-hour lessons, Algebra I is an entirely new course developed to meet both these concerns, teaching students and parents the concepts and procedures of first-year algebra in an easily accessible way. Indeed, anyone wanting to learn algebra from the beginning or needing a thorough review will find this course an ideal tutor. ” “ Algebra I is one of the most critical courses that students take in high school. Not only does it introduce them to a powerful reasoning tool with applications in many different careers, but algebra is the gateway to higher education. Students who do well in algebra are better prepared for college entrance exams and for college in general, since algebra teaches them how to solve problems and think abstractly—skills that pay off no matter what major they pursue. Because algebra involves a new way of thinking, many students find it especially challenging. Many parents also find it to be the area where they have the most trouble helping their high-school-age children. With 36 half-hour lessons, Algebra I is an entirely new course developed to meet both these concerns, teaching students and parents the concepts and procedures of first-year algebra in an easily accessible way. Indeed, anyone wanting to learn algebra from the beginning or needing a thorough review will find this course an ideal tutor. Conquer the Challenges of Learning Algebra Taught by Professor James A. Sellers, an award-winning educator at The Pennsylvania State University, Algebra I incorporates the following valuable features: Drawing on extensive research, The Great Courses and Dr. Sellers have identified the biggest challenges for high school students in mastering Algebra I, which are specifically addressed in this course. This course reflects the latest standards and emphases in high school and college algebra taught in the United States. Algebra I includes a mini-textbook with detailed summaries of each lesson, a multitude of additional problems to supplement those presented in the on-screen lessons, guided instructions for solving the problems, and important formulas and definitions of terms. Professor Sellers interacts with viewers in a one-on-one manner, carefully explaining every step in the solution to a problem and giving frequent tips, problem-solving strategies, and insights into areas where students have the most trouble. As Director of Undergraduate Mathematics at Penn State, Professor Sellers appreciates the key role that algebra plays in preparing students for higher education. He understands what entering college students need to have mastered in terms of math preparation to launch themselves successfully on their undergraduate careers, whether they intend to take more math in college or not. Professor Sellers is alert to the math deficiencies of the typical entering high school graduate, and he has developed an effective strategy for putting students confidently on the road to college-level mathematics. Whatever your age, it is well worth the trouble to master this subject. Algebra is indispensible for those embarking on careers in science, engineering, information technology, and higher mathematics, but it is also a fundamental reasoning tool that shows up in economics, architecture, publishing, graphic arts, public policy, manufacturing, insurance, and many other fields, as well as in a host of at-home activities such as planning a budget, altering a recipe, calculating car mileage, painting a room, planting a garden, building a patio, or comparison shopping. And for all of its reputation as a grueling rite of passage, algebra is actually an enjoyable and fascinating subject—when taught well. Algebra without Fear Professor Sellers takes the fear out of learning algebra by approaching it in a friendly and reassuring spirit. Most students won't have a teacher as unhurried and as attentive to detail as Dr. Sellers, who explains everything clearly and, whenever possible, in more than one way so that the most important concepts sink in. He starts with a review of fractions, decimals, percents, positive and negative numbers, and numbers raised to various powers, showing how to perform different operations on these values. Then he introduces variables as the building blocks of algebraic expressions, before moving on to the main ideas, terms, techniques, pitfalls, formulas, and strategies for success in tackling Algebra I. Throughout, he presents a carefully crafted series of gradually more challenging problems, building the student's confidence and mastery. After taking this course, students will be familiar with the terminology and symbolic nature of first-year algebra and will understand how to represent various types of functions (linear, quadratic, rational, and radical) using algebraic rules, tables of data, and graphs. In the process, they will also become acquainted with the types of problems that can be solved using such functions, with a particular eye toward solving various types of equations and inequalities. Throughout the course, Professor Sellers emphasizes the following skills: Using multiple techniques to solve problems Understanding when a given technique can be used Knowing how to translate word problems into mathematical expressions Recognizing numerical patterns Tips for Success Algebra is a rich and complex subject, in which seemingly insurmountable obstacles can be overcome, often with ease, if one knows how to approach them. Professor Sellers is an experienced guide in this terrain and a treasure trove of practical advice—from the simple (make sure that you master the basics of addition, subtraction, multiplication, and division) to the more demanding (memorize the algebraic formulas that you use most often). Here are some other examples of his tips for success: Learn the order of operations: These are the rules you follow when performing mathematical operations. You can remember the order with this sentence: Please Excuse My Dear Aunt Sally. The first letter of each word stands for an operation. First, do all work in parentheses; then the exponents; then multiplication and division; finally, do the addition and subtraction. Know your variables: It's easy to make a mistake when writing an algebraic expression if you don't understand what each variable represents. Choose letters that you can remember; for example, d for distance and t for time. If you have sloppy handwriting, avoid letters that look like numbers (b, l, o, s, and z). Use graph paper: You'll be surprised at how the grid of lines encourages you to organize your thinking. The columns and rows help you keep your work neat and easy to follow. Pay attention to signs: Be very careful of positive and negative signs. A misplaced plus or minus sign will give you the wrong answer. Don't mix units: If you are using seconds and are given a time in minutes, make sure to convert the units so they are all the same. Simplify: Straighten out the clutter in an equation by putting like terms together. Constants, such as 7, -2, 28, group together, as do terms with the same variable, such as 3x, x, -10x. Then combine the like terms. Often you'll find that the equation practically solves itself. Balance the equation: When you perform an operation on one side of an equation—such as adding or subtracting a number, or multiplying or dividing the entire side by a quantity—do the exact same thing to the other side. This keeps things in balance. Above all, check your work! When you have finished a problem, ask yourself, "Does this answer make sense?" Plug your solution into the original equation to see if it does. Checking your work is the number one insurance policy for accurate work—the step that separates good students from superstar students. By developing habits such as these, you will discover that solving algebra problems becomes a pleasure and not a chore—just as in a sport in which you have mastered the rudiments and are ready to face a competitor. Algebra I gives you the inspirational instruction, repetition, and practice to excel at what for many students is the most dreaded course in high school. Open yourself to the world of opportunity that algebra offers by making the best possible start on this all-important subject. About Your Professor Dr. James A. Sellers is Professor of Mathematics and Director of Undergraduate Mathematics at The Pennsylvania State University. He received his B.S. in Mathematics from The University of Texas at San Antonio and his Ph.D. in Mathematics from Penn State. In the past few years, Professor Sellers has received the Teresa Cohen Mathematics Service Award from the Penn State Department of Mathematics and the Mathematical Association of America Allegheny Mountain Section Mentoring Award. More than 60 of Professor Sellers's research articles on partitions and related topics have been published in a wide variety of peer-reviewed journals. In 2008, he was a visiting scholar at the Isaac Newton Institute at the University of Cambridge. Professor Sellers has enjoyed many interactions at the high school and middle school levels. He has served as an instructor of middle school students in the TexPREP program in San Antonio, Texas. He has also worked with Saxon Publishers on revisions to a number of its high school textbooks. As a home educator and father of five, he has spoken to various home education organizations about mathematics curricula and teaching issues. Available Exclusively on Video This course features more than 3,000 visual elements, including step-by-step diagrams, graphs, animations, and on-screen text. ” “ Course Lecture Titles 36 Lectures 30 minutes / lecture 01. An Introduction to the Course 02. Order of Operations 03. Percents, Decimals, and Fractions 04. Variables and Algebraic Expressions 05. Operations and Expressions 06. Principles of Graphing in 2 Dimensions 07. Solving Linear Equations, Part 1 08. Solving Linear Equations, Part 2 09. Slope of a Line 10. Graphing Linear Equations, Part 1 11. Graphing Linear Equations, Part 2 12. Parallel and Perpendicular Lines 13. Solving Word Problems with Linear Equations 14. Linear Equations for Real-World Data 15. Systems of Linear Equations, Part 1 16. Systems of Linear Equations, Part 2 17. Linear Inequalities 18. An Introduction to Quadratic Polynomials 19. Factoring Trinomials 20. Quadratic Equations—Factoring 21. Quadratic Equations—The Quadratic Formula 22. Quadratic Equations—Completing the Square 23. Representations of Quadratic Functions 24. Quadratic Equations in the Real World 25. The Pythagorean Theorem 26. Polynomials of Higher Degree 27. Operations and Polynomials 28. Rational Expressions, Part 1 29. Rational Expressions, Part 2 30. Graphing Rational Functions, Part 1 31. Graphing Rational Functions, Part 2 32. Radical Expressions 33. Solving Radical Equations 34. Graphing Radical Functions 35. Sequences and Pattern Recognition, Part 1 36. Sequences and Pattern Recognition, Part 2 ” links هذا الجزء الاول
TTC VIDEO - Algebra II (2009) TTC VIDEO - Algebra II (2009) DVD-Rip | WMV | WMV3 @ 1.5 Mbit/s | 640x480 | WMA Stereo @ 128 Kbit/s 44 KHz | 18 Hours | 10.4 GB Genre: Mathematics, Algebra | Label: The Great Courses | Language: English “ Algebra II is the fork in the road. Those who succeed in this second part of the algebra sequence are well on their way to precalculus, calculus, and higher mathematics, which open the door to careers in science, engineering, medicine, economics, information technology, and many other fields. And since algebraic thinking is found in almost every sphere of modern life, a thorough grounding in this abstract discipline is essential for many nontechnical careers as well, from law to business to graphic arts. Such benefits aside, Algebra II is a deeply rewarding subject in its own right that goes well beyond the rudiments of signed numbers, symbols, and simple equations learned in Algebra I. Indeed, the transition from Algebra I to Algebra II is like the leap from the first to the second year of a language, when you make your first steps toward genuine fluency. With the basic concepts firmly in place, you are ready to extend your skills in exciting new directions and to start to think mathematically. ” “ Algebra II is the fork in the road. Those who succeed in this second part of the algebra sequence are well on their way to precalculus, calculus, and higher mathematics, which open the door to careers in science, engineering, medicine, economics, information technology, and many other fields. And since algebraic thinking is found in almost every sphere of modern life, a thorough grounding in this abstract discipline is essential for many nontechnical careers as well, from law to business to graphic arts. Such benefits aside, Algebra II is a deeply rewarding subject in its own right that goes well beyond the rudiments of signed numbers, symbols, and simple equations learned in Algebra I. Indeed, the transition from Algebra I to Algebra II is like the leap from the first to the second year of a language, when you make your first steps toward genuine fluency. With the basic concepts firmly in place, you are ready to extend your skills in exciting new directions and to start to think mathematically. Therefore it is essential that you stay the course in your study of algebra. Among the advantages cited in Algebra II by award-winning Professor James A. Sellers of The Pennsylvania State University are these: Perseverance in algebra pays off: Those who master algebra in high school are much more likely to succeed not just in college-level math courses, but in college in general. Algebra is a valuable tool of reasoning: With countless daily uses that may not seem to be algebra problems, algebra comes in handy for everything from planning a party to organizing a trip to negotiating a loan. Algebra is the foundation of calculus: Those skilled in algebra will find calculus more comprehensible—which makes all the difference in understanding a mathematical field that underlies physics, engineering, and so much more. Through Professor Sellers's clear and inspiring instruction, Algebra II gives you the tools you need to thrive in a core skill of mathematics. In 36 engaging half-hour lessons, Professor Sellers walks you through hundreds of problems, showing every step in their solution and highlighting the most common missteps made by students. A Course for Learners of All Ages A gifted speaker and eloquent explainer of ideas, Professor Sellers shows that algebra can be an exciting intellectual adventure for any age and not nearly as difficult as many students fear. Those who will benefit from Professor Sellers's user-friendly approach include high-school students currently enrolled in an Algebra II class and their parents, who seek an outstanding private tutor; home-schooled students and others wishing to learn Algebra II on their own with these 18 hours of lessons and the accompanying mini-textbook; college students struggling with math requirements and who need to strengthen their grasp of this fundamental subject; math teachers searching for a better approach to Algebra II, guided by a professor who knows how to teach the subject; summer learners who have completed Algebra I and want a head start on Algebra II; anyone curious about the rigorous style of thought that underlies mathematics, the sciences, and our technological world. Step Up to the Next Level Taking your mathematics education to the next level, Algebra II starts by reviewing concepts from Algebra I and sharpening your problem-solving skills in linear and quadratic equations and other basic procedures. Professor Sellers begins with the simplest examples and gradually adds complexity to build confidence. As the course progresses, he introduces new topics, such as conic sections, roots and radicals, exponential and logarithmic functions, and elementary probability. As you solve problems with Professor Sellers, you will see that the ideas behind algebra are wonderfully interconnected, that there are often several routes to a solution, and that concepts and procedures such as the following have a host of applications: Functions: One of the simplest and most powerful ideas introduced in algebra is the function. Defined as a relation between two variables so that for any given input value there is exactly one output value, functions are used throughout higher mathematics. Graphing: Professor Sellers notes that "algebra is much more than solving equations and manipulating algebraic expressions." By plotting an equation or a function as a graph, algebra's key properties often come sharply into focus. Polynomials: By the time you meet the term "polynomial" in lecture 19, you will have dealt with dozens of these very useful expressions, including linear and quadratic equations. Professor Sellers shows how to perform complex operations on polynomials with ease. Conic sections: Among algebra's countless links to the real world are conic sections, the class of curves formed by slicing a cone at different angles. These curves correspond to everything from planetary orbits to the shape of satellite TV dishes. Roots and radicals: You are probably already familiar with square roots, but there are also cube roots, 4th roots, 5th roots, and so on. "Radical" comes from the Latin word for "root" and refers to symbols and operations involving roots. Exponents and logarithms: Exponential growth and decay occur throughout nature and are modeled with exponential functions and their inverse, logarithmic functions. Like so many tools in algebra, the concepts are simple, their applications truly awe-inspiring. With your growing mathematical maturity, you will learn to deploy an arsenal of formulas, theorems, and rules of thumb that provide a deeper understanding of patterns in algebra, while allowing you to analyze and solve equations more quickly than you imagined. Professor Sellers introduces these very useful techniques and more: Vertical line test tells you instantly whether a graph represents a function. Quadratic formula allows you to solve any quadratic equation, no matter how "messy." Fundamental theorem of algebra specifies how many roots exist for a given polynomial. Binomial theorem gives you the key to the coefficients for a binomial of any power. Change of base formula permits you to use a calculator to evaluate logarithms that are not in base 10 or e. "Pert" formula applies algebra to the real-world problem of calculating continuously compounded interest. Professor Sellers ends the course with three entertaining lectures showing how to solve problems in combinatorics and probability, which have applications in some intriguing areas, whether you need to calculate the possible outcomes in a match of five contestants, the potential three-topping pizzas when there are eight toppings to choose from, or the probability of being dealt different hands in poker. Dispel the Fog of Confusion! Practically everyone who has taken algebra has spent time in "the fog," when new ideas just don't make sense. As a winner of the Teresa Cohen Mathematics Service Award from The Pennsylvania State University, Professor Sellers is unusually adept at dispelling the fog. He does this by explaining the same concept in a variety of insightful ways, by carefully choosing problems that build on each other incrementally, and through his years of experience in addressing areas where students have the most trouble. Whenever the going gets tough, he shows you the path through to a solution and then makes doubly sure that you know the way. This sense of ease and adventure in tackling the richly varied terrain of algebra characterizes the experience you will have with this superstar teacher and Algebra II. You will learn to solve problems that look impossible at first glance, find that you enjoy them more than you ever thought possible, and look forward to even more challenging exploits as you continue your mathematics education. About Your Professor Dr. James A. Sellers is Professor of Mathematics and Director of Undergraduate Mathematics at The Pennsylvania State University. He earned his B.S. in Mathematics from The University of Texas at San Antonio and his Ph.D. in Mathematics from Penn State. In the past few years, Professor Sellers has received the Teresa Cohen Mathematics Service Award from the Penn State Department of Mathematics and the Mathematical Association of America Allegheny Mountain Section Mentoring Award. More than 60 of Professor Sellers's research articles on partitions and related topics have been published in a wide variety of peer-reviewed journals. In 2008, he was a visiting scholar at the Isaac Newton Institute at the University of Cambridge. Professor Sellers has enjoyed many interactions at the high school and middle school levels. He has served as an instructor of middle-school students in the TexPREP program in San Antonio, Texas. He has also worked with Saxon Publishers on revisions to a number of its high-school textbooks. As a home educator and father of five, he has spoken to various home education organizations about mathematics curricula and teaching issues. Available Exclusively on Video This course features a wealth of visual elements to enhance your learning experience, including animated graphs, interactive practice problems, charts, and on-screen equations. ” “ Course Lecture Titles 36 Lectures 30 minutes / lecture 01. An Introduction to Algebra II 02. Solving Linear Equations 03. Solving Equations Involving Absolute Values 04. Linear Equations and Functions 05. Graphing Essentials 06. Functions—Introduction, Examples, Terminology 07. Systems of 2 Linear Equations, Part 1 08. Systems of 2 Linear Equations, Part 2 09. Systems of 3 Linear Equations 10. Solving Systems of Linear Inequalities 11. An Introduction to Quadratic Functions 12. Quadratic Equations—Factoring 13. Quadratic Equations—Square Roots 14. Completing the Square 15. Using the Quadratic Formula 16. Solving Quadratic Inequalities 17. Conic Sections—Parabolas and Hyperbolas 18. Conic Sections—Circles and Ellipses 19. An Introduction to Polynomials 20. Graphing Polynomial Functions 21. Combining Polynomials 22. Solving Special Polynomial Equations 23. Rational Roots of Polynomial Equations 24. The Fundamental Theorem of Algebra 25. Roots and Radical Expressions 26. Solving Equations Involving Radicals 27. Graphing Power, Radical, and Root Functions 28. An Introduction to Rational Functions 29. The Algebra of Rational Functions 30. Partial Fractions 31. An Introduction to Exponential Functions 32. An Introduction to Logarithmic Functions 33. Uses of Exponential and Logarithmic Functions 34. The Binomial Theorem 35. Permutations and Combinations 36. Elementary Probability ” links
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