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TTC Video: Mathematics Describing the Real World – Precalculus &Trigonometry
Language: English [Edwards 1005]
AVI | XviD 1400kbps | 640 x 480 29.97fps | MP3 128kbps | 10.6 GB
Mathematics Describing the Real World: Precalculus and Trigonometry
Course No. 1005
Taught By Professor Bruce H. Edwards, Ph.D., Dartmouth College,
University of Florida
What’s the sure road to success in calculus? The answer is simple: Precalculus.
Traditionally studied after Algebra II, this mathematical field covers advanced algebra, trigonometry, exponents, logarithms, and much more. These interrelated topics are essential for solving calculus problems, and by themselves are powerful methods for describing the real world, permeating all areas of science and every branch of mathematics. Little wonder, then, that precalculus is a core course in high schools throughout the country and an important review subject in college.
Unfortunately, many students struggle in precalculus because they fail to see the links between different topics?between one approach to finding an answer and a startlingly different, often miraculously simpler, technique. As a result, they lose out on the enjoyment and fascination of mastering an amazingly useful tool box of problem-solving strategies.
And even if you’re not planning to take calculus, understanding the fundamentals of precalculus can give you a versatile set of skills that can be applied to a wide range of fields?from computer science and engineering to business and health care.
Mathematics Describing the Real World: Precalculus and Trigonometry is your unrivaled introduction to this crucial subject, taught by award-winning Professor Bruce Edwards of the University of Florida. Professor Edwards is coauthor of one of the most widely used textbooks on precalculus and an expert in getting students over the trouble spots of this challenging phase of their mathematics education.
“Calculus is difficult because of the precalculus skills needed for success,” Professor Edwards points out, adding, “In my many years of teaching, I have found that success in calculus is assured if students have a strong background in precalculus.”
A Math Milestone Made Clear
In 36 intensively illustrated half-hour lectures, supplemented by a workbook with additional explanations and problems, Mathematics Describing the Real World takes you through all the major topics of a typical precalculus course taught in high school or college. Those who will especially benefit from Professor Edwards’s lucid and engaging approach include
* high school and college students currently enrolled in precalculus who feel overwhelmed and want coaching from an inspiring teacher who knows where students stumble;
* parents of students, who may feel out of their depth with the advanced concepts taught in precalculus;
* those who have finished Algebra II and are eager to get a head start on the next milestone on the road to calculus;
* beginning calculus students who want to review and hone their skills in crucial precalculus topics;
* anyone motivated to learn precalculus on his or her own, whether as a home-schooled pupil or as an adult preparing for a new career.
35. Elementary Probability
What are your chances of winning the lottery? Of rolling a seven with two dice? Of guessing your ATM PIN number when you?ve forgotten it? Delve into the rudiments of probability, learning basic vocabulary and formulas so that you know the odds.
36. GPS Devices and Looking Forward to Calculus
In a final application, locate a position on the surface of the earth with a two-dimensional version of GPS technology. Then close by finding the tangent line to a parabola, thereby solving a problem in differential calculus and witnessing how precalculus paves the way for the next big mathematical adventure.