Algebra II Course. Second Algebra is a fork in the road. Those who succeed in this second part of the algebra sequence are on their way to precalculus, calculus, and advanced mathematics, opening the door to careers in science, engineering, medicine, economics, information technology, and many other fields. opens. And since algebraic thinking is found in nearly every area of modern life, a thorough grounding in this abstract discipline is also essential for many non-technical careers, from law to business to the graphic arts. In addition to such advantages, Algebra II is an extremely rewarding subject in its own right that goes beyond the basics of signed numbers, symbols, and simple equations learned in Algebra I. In fact, the transition from Algebra I to Algebra II is like making a leap from algebra. The first to second year of a language is when you take your first steps toward true mastery. With the basic concepts covered, you’re ready to expand your skills in exciting new directions and begin thinking mathematically. Algebra II gives you the tools you need to advance in core math skills through Professor Sellers’ clear and inspiring instruction. In 36 engaging half-hour lessons, Professor Sellers guides you through hundreds of problems, showing each step of their solution and highlighting the most common student mistakes.
A course for learners of all ages: Professor Sellers, a gifted speaker and explainer of ideas, explains why algebra can be an exciting intellectual adventure for any age, and not nearly as difficult as many students think. They are not intimidated. People who will benefit from Professor Sellers’ user-friendly approach include:
- High school students currently enrolled in Algebra II and their parents who are looking for an excellent teacher.
- Homeschoolers and others who want to learn Algebra 2 on their own with this 18-hour lesson and mini-textbook.
- Students who struggle with math requirements and need to strengthen their understanding of this fundamental subject.
- Math teachers are looking for a better approach to Algebra 2, with the guidance of a professor who knows how to teach the subject.
- Summer students who have completed Algebra I and wish to begin Algebra II.
- One is curious about the precise style of thinking that underlies mathematics, science, and our technological world.
As you solve problems with Professor Sellers, you’ll discover that the ideas behind algebra are surprisingly interconnected, that there are often multiple paths to a solution, and that concepts and procedures such as the following have numerous applications. Have:
- Function: One of the simplest and most powerful ideas introduced in algebra is the function. Defined as a relation between two variables such that for a given input value there is exactly one output value, functions are used throughout higher mathematics.
- Graphing: Professor Sellers states that “algebra is much more than solving equations and manipulating algebraic expressions.” By plotting an equation or function as a graph, key features of algebra are often emphasized.
- Polynomials: By the time you learn the term “polynomial” in Lecture 19, you will have dealt with dozens of very useful expressions, including linear and quadratic equations. Professor Sellers explains how to easily perform complex operations on polynomials.
- Conic Sections: One of the countless links of algebra to the real world is conic sections, a class of curves formed by cutting a cone at different angles. These curves correspond to everything from the orbits of planets to the shape of satellite TV dishes.
- Roots and Radicals: You’re probably already familiar with square roots, but there are also cube roots, fourth roots, fifth roots, and more. “Radical” comes from the Latin word “root” and refers to the symbols and operations related to roots.
- Exponents and Logarithms: Exponential growth and decay occur throughout nature and are modeled by exponential functions and their inverse logarithmic functions. Like most algebra tools, the concepts are simple and the applications are truly inspiring.
As your mathematical development progresses, you will learn to apply an arsenal of formulas, theorems, and general rules that provide a deeper understanding of algebraic patterns, as well as allow you to solve equations faster than you might think. Analyze and Solve. Professor Sellers introduces these extremely useful techniques and more:
- The vertical line test tells you immediately whether a graph represents a function.
- The quadratic formula allows you to solve any quadratic equation, no matter how “messy” it may be.
- The fundamental theorem of algebra states that a given polynomial has infinitely many roots.
- The binomial theorem gives you the key to the binomial coefficients of any power.
- The change of base formula allows you to use the calculator to evaluate logarithms that are not in base 10 or e.
- The “outer” formula applies algebra to the real-world problem of calculating continuously compounded interest.