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Posts tagged with Calculus

Calculus – the language of the stars!

June9

“Mathematics is the language of the stars! It was Sir Isaac Newton who worked out a way to mathematically calculate the changing motion of the planets, etc. Sir Isaac Newton, when pondering the motions of Halley’s Comet, came to the realization that the math that had been used thus far to describe physical motion of […]

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New Tools to Explain old Newton Equations

May5

One of history’s great geniuses, Isaac Newton (yes, the mathematician with the curly hair sitting under the apple tree), developed differential equations in the 1600s. But we aren’t all geniuses, so here’s the definition given in Differential Equations for Dummies (caution – this link downloads over 300 pages!) such equations “involve derivatives, which specify how […]

Mathematics. Trust me. It’s important in your life

April27

Who uses calculus? You do. Every day. Dr Ron Sandland celebrates the International Year of the Mathematics of Planet Earth. The American writer Jodi Picoult (seen here) was invited to contribute to Dear Me, in which she wrote a letter to her younger 16-year old self. It contains some very warm and witty advice, but […]

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How to find the volume of a sphere

November9

Well, just how do we arrive at the formula for the volume of a sphere? We do know that any volume is measured in cubes of some sort and this is the same for a sphere. The formula (graphic from Wiki How) is: Perhaps we can trace this formula back to Archimedes, who was born […]

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Prepare for the hard stuff!

June29

My teacher was very clear at the introduction to Calculus, “This is going to be a very difficult topic and you will need to concentrate your hardest in order to get through!” Little did I know that his words were correct. They were words that helped me mentally prepare for a course that, although different […]

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Calculus and 3 types of Math Models

August22

  Why do we learn Mathematics? Why is Calculus important? How does Mathematics help in designing spacecraft? What are some practical applications of the kind of mathematics I might do when I get to college? Click on this short video for some ideas!

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Looking for Patterns in Calculus

August12

Below is the formula for differentiating a fraction, using the Quotient Rule. Note that the ‘v‘s form a V on the outside of the formula, while the ‘u‘s are next to each other. D = Differential. This may help some senior students quickly learn the Quotient Rule (I tried this with a student some 30min […]

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The Power Rule – Pt II and simpler :-)

March15
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The Power Rule – Pt I

March15
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Calculus on Steroids – Differentiation from Scratch!

March15

Don’t worry – nobody will worry too much if you can’t follow this diagram and working. It’s here for the geeks, and those who really have to know WHY differentiation works. What do we mean by Differentiation? Simply, how to find the gradient of that straight line at any point on the curve. (It does […]

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