Chapter 7 - Systems and Matrices"Many applications of mathematics in science, engineering, business, and other areas involve the use of systems of equations or inequalities in two or more variables as models for the corresponding problems. We investigate several techniques commonly used to solve such systems; and we investigate matrices, which play a central role in several of these techniques. The information age has made the use of matrices widespread because of their use in handling vast amounts of data.
We decompose a rational function into a sum of simpler rational functions using the method of partial fractions. This technique can be used to analyze a rational function, and is used in calculus to integrate rational functions analytically. Finally, we introduce linear programming, a method used to solve problems concerned with decision making in management science." (Demana, Franklin D. "Chapter 7." Precalculus: Graphical, Numerical, Algebraic. 7th ed. Boston: Addison-Wesley, 2007. 568. Print.) Lesson 7.4 - Partial Fractions
This lesson will cover partial fraction decomposition, denominators with linear factors, denominators with irreducible quadratic factors and applications. |
"Scientists studying hemoglobin molecules, as represented in the photo, can make new discoveries by viewing the image on a computer. To see all the details, they may need to move the image up or down (translation), turn it around (rotation), or change the size (scaling). In computer graphics these operations are performed using matrix operations. See a related problem involving scaling a triangle on page 589."
(Demana, Franklin D. "Chapter 7." Precalculus: Graphical, Numerical, Algebraic. 7th ed. Boston: Addison-Wesley, 2007. 568. Print.) |