Understanding Calculus II: Problems, Solutions, and Tips (The Great Courses)

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Calculus II is the payoff for mastering Calculus I. This second course in the calculus sequence introduces you to exciting new techniques and applications of one of the most powerful mathematical tools ever invented. Equipped with the skills of Calculus II, you can solve a wide array of problems in the physical, biological, and social […]

Understanding Multivariable Calculus: Problems, Solutions, and Tips (The Great Courses)

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Calculus offers some of the most astounding advances in all of mathematics—reaching far beyond the two-dimensional applications learned in first-year calculus. We do not live on a sheet of paper, and in order to understand and solve rich, real-world problems of more than one variable, we need multivariable calculus, where the full depth and power […]

Geometry: An Interactive Journey to Mastery (The Great Courses)

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Inscribed over the entrance of Plato’s Academy were the words, “Let no one ignorant of geometry enter my doors.” To ancient scholars, geometry was the gateway to gaining a profound knowledge of the world.$1#$ Today, geometry’s core skills of logic and reasoning are essential to success in school, work, and many other aspects of life. […]

Mathematics Describing the Real World: Precalculus and Trigonometry (The Great Courses)

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What’s the sure road to success in calculus? The answer is simple: Precalculus. Traditionally studied after Algebra II, this mathematical field covers advanced algebra, trigonometry, exponents, logarithms, and much more. These interrelated topics are essential for solving calculus problems, and by themselves are powerful methods for describing the real world, permeating all areas of science […]

Algebra II (The Great Courses)

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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 […]

Mastering the Fundamentals of Mathematics (The Great Courses)

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Multiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study—such as algebra, geometry, and calculus—and to discover new levels of confidence in […]

Algebra I (The Great Courses)

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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 […]

Understanding Calculus: Problems, Solutions, and Tips (The Great Courses)

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Calculus is the greatest mathematical breakthrough since the pioneering discoveries of the ancient Greeks. Without it, we wouldn’t have spaceflight, skyscrapers, jet planes, economic modeling, accurate weather forecasting, modern medical technologies, or any of the countless other achievements we take for granted in today’s world. Indeed, calculus is so versatile and its techniques so diverse […]

How Music and Mathematics Relate (The Great Courses)

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Gain new perspective on two of the greatest achievements of human culture—music and math—and the fascinating connections that will help you more fully appreciate the intricacies of both. Great minds have long sought to understand the relationship between music and mathematics. On the surface, they seem very different. Music delights the senses and can express […]

How Music and Mathematics Relate (The Great Courses)

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Gain new perspective on two of the greatest achievements of human culture—music and math—and the fascinating connections that will help you more fully appreciate the intricacies of both. Great minds have long sought to understand the relationship between music and mathematics. On the surface, they seem very different. Music delights the senses and can express […]