Model of cratering, to determine what fraction of the landing area was safe to land upon. Students use an image from the LRO satellite of the Apollo-11 landing area, along with a power-law Problem 321: Lunar Crater Frequency Distributions Stars orbit the centers of galaxies in systems such as the Milky Way and Messier-101. Students examine a simple model of the rotation of a galaxy to investigate how fast Problem 322: Rotation Velocity of a Galaxy The function is integrated to determine the estimated total number of quasars across the entire sky. Students use a piecewise function that estimates how many quasars are found in a given area of the sky. The form of a function that predicts the changing apparent size of the comet as viewed from the spacecraft The Deep Impact spacecraft flew by the Comet Tempel-1 in 2005. An 'extra' integration problem is also provided for calculus students. The collision time depends on the particular assumptions they made. StudentsĮstimate belt volume, and asteroid speeds to determine the number of years between collisions. Problem 326: Hubble Spies Colliding Asteroidsīased on a recent press release, students calculate how often asteroids collide in the Asteroid belt using a simple formula. Students explore a practical application of a power law function to count the number of stars in the sky.Īn additional calculus-level problem is included for advanced students. Problem 327: WISE: Exploring Power-law Functions Using WISE Dataīased on a recent press release of the 'First Light' image taken with NASA's new WISE satellite, ![]() Students use WISE satellite data to study a practical application of the product of two functions by graphing them individually, and their product.Ī calculus-level problem is included for advanced students. Problem 328: WISE: F(x)G(x): A Tale of Two Functions To estimate the volume of the comets nucleus, and its total mass, Students use a recent image of the nucleus of Comet Hartley 2 taken by the Deep Impact/EPOXI camera and a shape function describedīy a fourth-order polynomial to calculate the volume of the comet's head using integral calculus. Problem 383: Estimating the mass of Comet Hartley 2 using calculus. Students use parametric equations and calculus to determine the linear equation for the path of Barnards Star, and then determine when the minimum distance to the sun occurs Problem 494: The Close Encounter to the Sun of Barnards Star Students use calculus to determine the volume of a crater whose depth is defined by a fourth-order polynomial Problem 495: The Volume of a Lunar Impact Crater Students use calculus to slove for the growth in mass of a body, and solve the equation for the case of a raindrop and a planet like Earth. Problem 496: How to Grow a Planet or a Rain Drop Students integrate a powerlaw function to estimate the number of tons of meteoritic debris that Earth collects every year. Problem 668: Meteor Impacts - How Much Stuff? Students create a simple mathematical model of the radiation exposure to the VABP satellites as they travel through the Van Allen belts. Problem 672:VAB - Modeling the Radiation Dose of the Van Allen Probes Students use a detailed model of the path of a satellite and the radiation dose rate along the path to calculate the total radiation dose to the spacecraft. Problem 673:VAB - An Improved Model for Van Allen Belt Radiation Dose Please e-mail your comments, questions, or suggestions to Duane Kouba. Sponsor : UC DAVIS DEPARTMENT OF MATHEMATICS Problems on critical points and extrema for.Sequences and Infinite Series : Multi-Variable Calculus : Problems on moment, mass, center of mass, and centroid.Problems on the volume of solids of revolutions using the shell method.Problems on the volume of solids of revolution using the disc method.Problems on the volume of static solids by cross-sectional area.Problems on the area of an enclosed region in two-dimensional space.Problems on integration by trigonometric substitution.Problems on integrating certain rational functions by partial fractions.Problems on integrating certain rational functions, resulting in.Problems on the limit definition of a definite integral.Problems on Newton's Method Beginning Integral Calculus :.Problems on the Intermediate Value Theorem. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |