New Features in Maple 17: Math Apps

Math Apps are interactive demonstrations that give students and teachers the ability to explore and illustrate a wide variety of mathematical and scientificconcepts.  These demonstrations can be incorporated into any learning environment, such as classroom demonstrations or independent studying. There are now close to 200 Math Apps in Maple, which are also available through The Möbius Project.

Maple 17 includes more than 45 new Math Apps to engage students with math and science concepts. The new Math Apps explore a variety of topics including:

• Spherical coordinates
• Roots of unity
• Kinematics quantities
• Letter frequencies
• Linear approximations of functions
• Tide heights
• And many more!

Just a Few Examples

Costs of Production

The following graph shows the cost curves for a firm in a perfectly competitive market. Use the sliders to adjust the firm's productive capacity, fixed costs and variable costs ,and see how the cost curves change in response. Also, try changing the market price of the product to create break-even, profit, and loss situations.

 Factors Affecting a Firm's Costs and Profitability Amount of Capital (K) Wage Rate (w) Price as Determined by Market Forces (P)

Tides

 Main Concept The tides in the Bay of Fundy are some of the largest in the world. They can oscillate between 3.5 meters and 16 meters high. The formula that models this equation is: where t is the time in hours. Graphing this equation and looking at the slope of the curve tells us how fast the tides are rising or falling.

Click anywhere on the function or move the slider to see the instantaneous rate of change (how fast the tide is rising or falling) at that moment in time.

The River Crossing Problem

 Main Concept A farmer needs to cross the river, taking his wolf, his chicken, and his seeds. Unfortunately, if he is not with the wolf and chicken, the wolf will eat the chicken. Similarly, the chicken will eat the seeds. Given that he can only take up to one of his items, himself, and his boat at a time, how can he take everything across?

Use the buttons to help the farmer take his items from the island to the mainland.

 Island River Mainland