File Name: fun and fundamentals of mathematics .zip
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Published: 04.05.2021
Institution The Pennsylvania State University. Alma mater The Pennsylvania State University.
Lately I seem to have hit a string of courses that are difficult to review. This is one of them. I w… Show Full Review This action will open a modal dialog. This is the first of The Great Courses that I purchased. The instructor is reading from a computer screen - very quickly - and not looking at the camera. Indeed he is usually staring off into the opposite direction. I didn't find that anything was explained.
The material was read to me in a very hurried manner. I didn't like it. The Great Courses Plus were given to me as a Christmas gift. Unfortunately, it didn't. Each of these lectures, for me, at least, would be a complete course. Too much information for a 40 minute lecture. I won't finish the course. Professor Benjamin's enthusiastic style of presentation of a wide variety of topics, and clever surprise endings to his lectures, make this series a delightful taste of mathematical adventure.
This course more than met the expectations I had for it from the catalog description. Benjamin is an excellent instructor. His enthusiasm is infectious, his speech is cear and the cadence is just right. The visual aids are frequent and clear. I would have been ok if he had skipped one or two of the proofs, but overall the content is just what I hoped for.
If you are like me, someone who enjoyed math in high school and college, but did not have much chance to practice it in their career, then you will find this to be an excellent and entertaining review of the most important topics and concepts you learned many years ago.
I am enjoying the course taking me through all the mathematics I learned many years ago as a student from algebra through calculus and presenting it in a refreshing way. Sign into your library with your email address and password as an existing customer. You can access your Digital Library on our website, www. You can watch the lectures anytime, provided you have internet service, as many times as you like, forever.
When you order the Instant Video version of this course, you get a PDF of the guidebook, not a physical copy. The PDF is in your digital library with the course. Find and click on the icon that looks like an open book labelled Guidebook. We don't sell the physical guidebook separately from the course.
If you sign up for the monthly plan on The Great Course Plus, you can investigate as many courses as you like at any time. You do not have to finish a course to move on. The DVDs for this course do not have subtitles. To order, please call our Customer Contact Center at It appears that you bought the course before we offered the free streaming with the purchase of the DVD; we are happy to give it to you retroactively. Please call our Customer Contact Center at and a representative will help you.
Thank you for your question! This course does not have a list of questions with answers. It does contain a couple of questions at the end of each lecture, some to provoke thought and some with problems to solve, but there is no answer key. Some of our other mathematics courses, such as Algebra I, Algebra II, Understanding Calculus, and Understanding Calculus II, among others, come with a workbook which does have around 10 problems per lecture and an answer key.
Reinvigorate your love of mathematics, and discover how the field can be enjoyed for its beauty and certainty. Learn the beautiful and unexpected properties of Fibonacci numbers, which show up in art, nature, and even poetry.
Explore the bizarre concept of infinity, and deliberate over whether there are an infinite number of infinities. Examine the concepts of imaginary and complex numbers, which play a surprisingly useful role in physics. Study how mathematical proofs work, including proofs by deduction, proofs by induction, and proofs by existence. Joy of Mathematics. Discrete Mathematics.
How to Draw. Algebra I. Algebra II. Understanding the Quantum World. Understanding Investments. An Introduction to Formal Logic. Joy of Mathematics Arthur T. Benjamin, Ph. Professor, Harvey Mudd College. Course No. Choose a Format Instant Video. Add to Cart Choose a format in order to add this course to your cart.
Add to Wishlist Please choose a format in order to add this course to your Wish List. Arthur T. As a professor, I have always wanted to bring math to the masses.
The Great Courses has helped make that wish come true. Ready to exercise those brain cells? Humans have been having fun with mathematics for thousands of years. Along the way, they've discovered the amazing utility of this field—in science, engineering, finance, games of chance, and many other aspects of life. This course of 24 half-hour lectures celebrates the sheer joy Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for its applications , its beauty and structure , and its certainty.
Most of all, mathematics is a source of endless delight through creative play with numbers. How do you add all the numbers from 1 to —instantly? What makes a square number square and a triangular number triangular? Why do the rules of arithmetic really work, and how do you calculate in bases other than 10? A number is prime if it is evenly divisible by only itself and one: for example, 2, 3, 5, 7, Professor Benjamin proves that there are an infinite number of primes and shows how they are the building blocks of our number system.
Combinatorics is the study of counting questions such as: How many outfits are possible if you own 8 shirts, 5 pairs of pants, and 10 ties? A trickier question: How many ways are there to arrange 10 books on a shelf? Combinatorics can also be used to analyze numbering systems, such as ZIP Codes or license plates, as well as games of chance. The Fibonacci numbers follow the simple pattern 1, 1, 2, 3, 5, 8, etc. Fibonacci numbers have many beautiful and unexpected properties, and show up in nature, art, and poetry.
Arguably the most important area of mathematics, algebra introduces the powerful idea of using an abstract variable to represent an unknown quantity. This lecture demonstrates algebra's golden rule: Do unto one side of an equation as you do unto the other. This lecture shows how to solve quadratic second-degree equations from the technique of completing the square and the quadratic formula.
The quadratic formula reveals the connection between Fibonacci numbers and the golden ratio. Algebra can be used to solve geometrical problems, such as finding where two lines cross. The technique is useful in real-life problems, for example, in choosing a telephone plan. Graphs help us better understand everything from lines to equations with negative or fractional exponents.
Adding the digits of a multiple of 9 always gives a multiple of 9. In modular arithmetic , this property allows checking answers by "casting out nines. Professor Benjamin begins his discussion of mathematical proofs with intuitive cases like "even plus even is even" and "odd times odd is odd. Geometry is based on a handful of definitions and axioms involving points, lines, and angles.
These lead to important conclusions about the properties of polygons. This lecture uses geometric reasoning to derive the Pythagorean theorem and other interesting results. Pi is the ratio of the circumference of a circle to its diameter. It starts 3. Professor Benjamin shows how to learn the first hundred digits of this celebrated number, making it look as easy as pie. Trigonometry deals with the sides and angles of triangles. This lecture defines sine , cosine , and tangent , along with their reciprocals, the cosecant , secant , and cotangent.
Extending these definitions to the unit circle allows a handy measure of angle: the radian. Could the apparently nonsensical number the square root of —1 be of any use? Very much so, as this lecture shows.
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Basic skills and Mastery. Maths is a journey and long-term goal, achieved through exploration, clarification, practice and application over time. We aim to provide our children with a wide mathematical education in an enjoyable, relevant and creative way. We use real life experiences so that children can begin to understand the purpose and importance of applying their mathematical skills in order to solve problems and engage them in future learning. Children are encouraged to reason mathematically by solving a variety of puzzles and problems.
Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Grade Level. Resource Type. Log In Join Us. View Wish List View Cart. Results for fundamentals of math.
Math Pdf No memory aids. Despite its apparently informal style, [HM] develops a signi cant. Each video is approximately minutes in length and comes with a quick quiz to help you measure your learning.
Summary: This book focuses on the most important concepts and skills needed to provide early learners preK-2 with a strong foundation in mathematics, in ways that are fun for both children and educators! Professional developer Marian Small provides sample activities and lessons, troubleshooting tips, and formative assessments, and much more. Product details Format Paperback pages Dimensions x x Unique chapters offer coverage of portfolios and legal issues, portfolios and the job search, and how to use portfolios in interviews and on the job. This format allows students to read and focus on what is most important.
Not a MyNAP member yet? Register for a free account to start saving and receiving special member only perks. Children begin learning mathematics well before they enter elementary school. Starting from infancy and continuing throughout the preschool period, they develop a base of skills, concepts, and misconceptions about numbers and mathematics. Chapter 4 laid out a framework for describing mathematical proficiency in terms of a set of interwoven strands.
Attribution CC BY. The text is mostly comprehensive with the exceptions that the text provides only one method for computing an answer and that there are very few applications. The text has a good table of contents and no glossary. Comprehensiveness rating: 3 see less. With the text being set up to primarily show computational methods and examples worked out, the text is not obsolete.
Lately I seem to have hit a string of courses that are difficult to review. This is one of them. I w… Show Full Review This action will open a modal dialog. This is the first of The Great Courses that I purchased. The instructor is reading from a computer screen - very quickly - and not looking at the camera. Indeed he is usually staring off into the opposite direction.
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ReplyJul 13, - Fun and Fundamentals of Mathematics PDF By:J.V. Narlikar,M. Narlikar Published on by Universities Press This book introduces.
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