## Episodes

- Mastering the Fundamentals of MathematicsJuly 12, 20122minThere's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. In Professor James A. Sellers' engaging series, learn all the key math topics you need to know. These 24 episodes, packed with helpful examples, practice problems, and guided walkthroughs, will help you finally grasp the all-important fundamentals of math in a way that truly sticks.
- S1 E1 - Addition and SubtractionJuly 12, 201233minThis introductory episode starts with Professor Sellers’ overview of the general topics and themes you’ll encounter throughout the series. Then, plunge into an engaging review of the addition and subtraction of whole numbers, complete with several helpful tips designed to help you approach these types of problems with more confidence. #Science & MathematicsFree trial of The Great Courses Signature Collection or buy
- S1 E2 - MultiplicationJuly 12, 201231minContinue your quick review of basic mathematical operations, this time with a focus on the multiplication of whole numbers. In addition to uncovering the relationship between addition and multiplication, you’ll get plenty of opportunities to strengthen your ability to multiply two 2-digit numbers, two 3-digit numbers, and more.Free trial of The Great Courses Signature Collection or buy
- S1 E3 - Long DivisionJuly 12, 201231minTurn now to the opposite of multiplication: division. Learn how to properly set up a long division problem, how to check your answers to make sure they’re correct, how to handle zeroes when they appear in a problem, and what to do when a long division problem ends with a remainder.Free trial of The Great Courses Signature Collection or buy
- S1 E4 - Introduction to FractionsJuly 12, 201232minMathematics is also filled with “parts” of whole numbers, or fractions. In the first of several episodes on fractions, define key terms and focus on powerful techniques for determining if fractions are equivalent, finding out which of two fractions is larger, and reducing fractions to their lowest terms.Free trial of The Great Courses Signature Collection or buy
- S1 E5 - Adding and Subtracting FractionsJuly 12, 201232minFractions with the same denominator. Fractions with different denominators. Mixed numbers. Here, learn ways to add and subtract them all (and sometimes even in the same problem) and get tips for reducing your answers to their lowest terms. Math with fractions, you’ll discover, doesn’t have to be intimidating. It can even be fun!Free trial of The Great Courses Signature Collection or buy
- S1 E6 - Multiplying FractionsJuly 12, 201230minContinue having fun with fractions, this time by mastering how to multiply them and reduce your answer to its lowest term. Professor Sellers shows you how to approach and solve multiplication problems involving fractions (with both similar and different denominators), fractions and whole numbers, and fractions and mixed numbers.Free trial of The Great Courses Signature Collection or buy
- S1 E7 - Dividing FractionsJuly 12, 201232minProfessor Sellers walks you step by step through the process for speedily solving division problems involving fractions in this episode filled with helpful practice problems. You’ll also learn how to better handle calculations involving different notations, fractions, and whole numbers, and even word problems involving the division of fractions.Free trial of The Great Courses Signature Collection or buy
- S1 E8 - Adding and Subtracting DecimalsJuly 12, 201230minWhat’s 29.42 + 84.67? Or 643 + 82.987? What about 25.7 - 10.483? Problems like these are the focus of this helpful episode on adding and subtracting decimals. One tip for making these sorts of calculations easier: making sure your decimal points are all lined up vertically.Free trial of The Great Courses Signature Collection or buy
- S1 E9 - Multiplying and Dividing DecimalsJuly 12, 201232minInvestigate the best ways to multiply and divide decimal numbers. You’ll get insights into when and when not to ignore the decimal point in your calculations, how to check your answer to ensure that your result has the correct number of decimal places, and how to express remainders in decimals.Free trial of The Great Courses Signature Collection or buy
- S1 E10 - Fractions, Decimals, and PercentsJuly 12, 201232minTake a closer look at converting between percents, decimals, and fractions, all of which are areas of basic mathematics many people have a hard time with. After learning the techniques in this episode and using them on numerous practice problems, you’ll be surprised at how easy this type of conversion is to master.Free trial of The Great Courses Signature Collection or buy
- S1 E11 - Percent ProblemsJuly 12, 201231minUse the skills you developed in the last episode to better approach and solve different kinds of percentage problems you’d most likely encounter in your everyday life. Among these everyday scenarios: calculating the tip at a restaurant and determining how much money you’re saving on a store’s discount.Free trial of The Great Courses Signature Collection or buy
- S1 E12 - Ratios and ProportionsJuly 12, 201230minHow do ratios and proportions work? How can you figure out if a particular problem is merely just a ratio or proportion problem in disguise? What are some pitfalls to watch out for? And how can a better understanding of these subjects help save you money? Find out here.Free trial of The Great Courses Signature Collection or buy
- S1 E13 - Exponents and Order of OperationsJuly 12, 201231minExplore a fifth fundamental mathematical operation: exponentiation. First, take a step-by-step look at the order of operations for handling longer calculations that involve multiple tasks, complete with invaluable tips to help you handle them with ease. Then, see where exponentiation fits in this larger process.Free trial of The Great Courses Signature Collection or buy
- S1 E14 - Negative and Positive IntegersJuly 12, 201232minImprove your confidence in dealing with negative numbers. You’ll learn to use the number line to help visualize these numbers; discover how to rewrite subtraction problems involving negative numbers as addition problems to make them easier; examine the rules involved in multiplying and dividing with them; and much more.Free trial of The Great Courses Signature Collection or buy
- S1 E15 - Introduction to Square RootsJuly 12, 201231minIn this episode, finally make sense of square roots. Professor Sellers offers examples to help you sidestep issues many students express frustration with, shows you how to simplify radical expressions involving addition and subtraction, and reveals how to find the approximate value of a square root without using a calculator.Free trial of The Great Courses Signature Collection or buy
- S1 E16 - Negative and Fractional PowersJuly 12, 201231minWhat happens when you have to raise numbers to a fraction of a power? How about when you have to deal with negative exponents? Or negative fractional exponents? No need to worry! Professor Sellers guides you through this tricky mathematical territory, arming you with invaluable techniques for approaching these scenarios.Free trial of The Great Courses Signature Collection or buy
- S1 E17 - Graphing in the Coordinate PlaneJuly 12, 201230minGrab some graph paper and learn how to graph objects in the coordinate (or xy) plane. You’ll find out how to plot points, how to determine which quadrant they go in, how to sketch the graph of a line, how to determine a line’s slope, and more.Free trial of The Great Courses Signature Collection or buy
- S1 E18 - Geometry - Triangles and QuadrilateralsJuly 12, 201231minContinue exploring the visual side of mathematics with this look at the basics of two-dimensional geometry. Among the topics you’ll focus on here are the various types of triangles (including scalene and obtuse triangles) and quadrilaterals (such as rectangles and squares), as well as methods for measuring angles, area, and perimeter.Free trial of The Great Courses Signature Collection or buy
- S1 E19 - Geometry - Polygons and CirclesJuly 12, 201232minGain a greater appreciation for the interaction between arithmetic and geometry. First, learn how to recognize and approach large polygons, including hexagons and decagons. Then, explore the various concepts behind circles (such as radius, diameter, and the always intriguing pi), as well as methods for calculating their circumference, area, and perimeter.Free trial of The Great Courses Signature Collection or buy
- S1 E20 - Number Theory - Prime Numbers and DivisorsJuly 12, 201231minShift gears and demystify number theory, which takes as its focus the study of the properties of whole numbers. Concepts that Professor Sellers discusses and teaches you how to engage with in this insightful episode include divisors, prime numbers, prime factorizations, greatest common divisors, and factor trees.Free trial of The Great Courses Signature Collection or buy
- S1 E21 - Number Theory - Divisibility TricksJuly 12, 201232minIn this second episode on the world of number theory, take a closer look at the relationships between even and odd numbers, as well as the rules of divisibility for particular numbers. By the end, you’ll be surprised that something as intimidating as number theory could be made so accessible.Free trial of The Great Courses Signature Collection or buy
- S1 E22 - Introduction to StatisticsJuly 12, 201232minGet a solid introduction to statistics, one of the most useful areas of mathematics. Here, you’ll focus on the four basic “measurements” statisticians use when gleaning meaning from data: mean, media, mode, and range. Also, see these concepts at work in everyday scenarios in which statistics plays a key role.Free trial of The Great Courses Signature Collection or buy
- S1 E23 - Introduction to ProbabilityJuly 12, 201232minLearn more about probability, a cousin of statistics and another mathematical field that helps us make sense of the seemingly unexplainable nature of the world. You’ll consider basic questions and concepts from probability, drawing on the knowledge and skills of the fundamentals of mathematics you acquired in earlier lectures.Free trial of The Great Courses Signature Collection or buy
- S1 E24 - Introduction to AlgebraJuly 12, 201231minProfessor Sellers reviews the importance of math in daily life and previews the next logical step in your studies: Algebra I (which involves variables). Whether you’re planning to take more Great Courses in mathematics or simply looking to sharpen your mind, you’ll be sent off with new levels of confidence.Free trial of The Great Courses Signature Collection or buy

## Details

### More info

- Audio languages
- English

- Subtitles
- English [CC]

- Producers
- The Great Courses

- Cast
- James A. Sellers

- Studio
- The Great Courses

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