Mathematics Describing the Real World : Precalculus and Trigonometry

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Title from container.
"Course No. 1005."
36 lectures/30 minutes per lecture.
Disc 1. Introduction to precalculus--functions -- Polynomial functions and zeros -- Complex numbers -- Rational functions -- Inverse functions -- Solving inequalities.
Disc 2. Exponential functions -- Logarithmic functions -- Properties of logarithms -- Exponential and logarithmic equations -- Exponential and logarithmic models -- Introduction to trigonometry and angles.
Disc 3. Trigonometric functions--right triangle definition -- Trigonometric functions--arbitrary angle definition -- Graphs of sine and cosine functions -- Graphs of other trigonometric functions -- Inverse trigonometric functions -- Trigonometric identities.
Disc 4. Trigonometric equations -- Sum and difference formulas -- Law of sines -- Law of cosines -- Introduction to vectors -- Trigonometric form of a complex number.
Disc 5. Systems of linear equations and matrices -- Operations with matrices -- Inverses and determinants of matrices -- Applications of linear systems and matrices -- Circles and parabolas -- Ellipses and hyperbolas.
Disc 6. Parametric equations -- Polar coordinates -- Sequences and series -- Counting principles -- Elementary probability -- GPS devices and looking forward to calculus.
Lecturer: Dr. Bruce H. Edwards, Professor of Mathematics at the University of Florida.
DVD.

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