30 lectures on 6 discs: 2 discs + 1 workbook per container. Thirty-six thirty minute lectures by Dr. James A. Sellers, Professor of Mathematics and Director of Undergraduate Mathematics at The Pennsylvania State University. Course workbook includes professor biography, statement of course scope, lecture outline with notes and problems, formulas and theorems, problem solutions, glossary, and bibliography. Originally produced in 2010.
Contents:
Lecture 12. Quadratic equations: Factoring. Lecture 2. Solving linear equations ; Lecture 3. Solving equations involving absolute values ; Lecture 4. Linear equations and functions ; Lecture 5. Graphing essentials ; Lecture 6. Functions: Introduction, examples, terminology ; Lecture 7. Systems of 2 linear equations: Part 1 ; Lecture 8. Systems of 2 linear equations: Part 2 ; Lecture 9. Systems of 3 linear equations ; Lecture 10. Solving systems of linear inequalities ; Lecture 11. An introduction to quadratic functions ; Lecture 12. Quadratic equations: Factoring. Lecture 24. The fundamental theorem of algebra. Lecture 14. Completing the square ; Lecture 15. Using the quadratic formula ; Lecture 16. Solving quadratic inequalities ; Lecture 17. Conic sections: Parabolas and hyperbolas ; Lecture 18. Conic sections: Circles and ellipses ; Lecture 19. An introduction to polynomials ; Lecture 20. Graphing polynomial functions ; Lecture 21. Combining polynomials ; Lecture 22. Solving special polynomial equations ; Lecture 23. Rational roots of polynomial equations ; Lecture 24. The fundamental theorem of algebra. Lecture 36. Elementary probability. Lecture 26. Solving equations involving radicals ; Lecture 27. Graphing power, radical, and root functions ; Lecture 28. An introduction to radical functions ; Lecture 29. The algebra of rational functions ; Lecture 30. Partial fractions ; Lecture 31. An introduction to exponential functions ; Lecture 32. An introduction to logarithmic functions ; Lecture 33. Uses of exponential and logarithmic functions ; Lecture 34. The binomial theorem ; Lecture 35. Permutations and combinations ; Lecture 36. Elementary probability.
Summary:
Algebra II is the fork in the road. Those who succeed in this second part of the algebra sequence are well on their way to calculus and higher mathematics, which open the door to careers in science, engineering, medicine, economics, information technology, and many other fields. Algebra II starts by reviewing functions, graphing, and polynomials from Algebra I, and then introduces new topics, such as conic sections, roots and radicals, exponential and logarithmic functions, and elementary probability. Taking mathematics education to the next level and sharpening problem-solving skills in linear and quadratic equations, Algebra II explains the tools of this core skill, the mathematics that underlies the sciences and our technological world.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.