Course Summary

Algebra II course. The second algebra is a fork in the road. Those who succeed in this second part of the algebra sequence are well 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 almost every area of ​​modern life, a thorough grounding in this abstract discipline is essential for many non-technical careers as well, from law to business to the graphic arts. Apart from such advantages, Algebra II is a deeply rewarding subject in itself 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 jumping from Algebra. The first to second year of a language is when you take your first steps towards true mastery. With the basic concepts covered, you’re ready to expand your skills in exciting new directions and start thinking mathematically. Algebra II gives you the tools you need to advance in a core math skill through Professor Sellers’ clear and inspiring instructions. In 36 engaging half-hour lessons, Professor Sales 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, shows that algebra can be an exciting intellectual adventure for any age, and almost as difficult as many students find it to be. They are not afraid. Those 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 outstanding tutor. Homeschoolers and others who want to learn Algebra 2 on their own with this 18-hour lesson and accompanying mini-textbook. Students who struggle with math requirements and need to strengthen their understanding of this fundamental subject. Math teachers looking for a better approach to Algebra 2, with guidance from a professor who knows how to teach this subject. Summer students who have completed Algebra I and want to start Algebra II. Anyone curious about the exact style of thinking that underlies mathematics, science, and our technological world. As you solve problems with Professor Sellers, you’ll find that the ideas behind algebra are surprisingly interconnected, that there are often multiple paths to a solution, and that concepts and procedures like the following have many applications. have: Functions: One of the simplest and most powerful ideas introduced in algebra is the function. Defined as a relationship between two variables such that for any given input value there is exactly one output value, functions are used throughout higher mathematics. Graphing: Professor Sellers notes that “algebra is much more than solving equations and manipulating algebraic expressions.” By plotting an equation or a function as a graph, key features of algebra are often strongly emphasized. Polynomials: By the time you learn the term “polynomial” in Lecture 19, you will have dealt with dozens of these very useful expressions, including linear and quadratic equations. Professor Sellers shows how to easily perform complex operations on polynomials. Conic Sections: Among the countless links of algebra to the real world are conic sections, a class of curves formed by cutting a cone at various angles. These curves match everything from planetary orbits 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 for “root” and refers to symbols and operations related to roots. Exponentials and Logarithms: Exponential growth and decay occur throughout nature and are modeled by exponential functions and their inverse logarithmic functions. As with most algebra tools, the concepts are simple and the applications truly inspiring. As your mathematical development progresses, you’ll learn to apply an arsenal of formulas, theorems, and rules of thumb that provide a deeper understanding of algebraic patterns, while allowing you to solve equations faster than you might think. Analyze and solve. Professor Sellers introduces these very useful techniques and more: The vertical line test tells you right away if the graph represents a function. The quadratic formula allows you to solve any quadratic equation, no matter how “messy”. The fundamental theorem of algebra states that a given polynomial has many roots. The binomial theorem gives you the key to binomial coefficients of any power. The change of base formula allows you to use a calculator to evaluate logarithms that are not in base 10 or e. The “outlier” formula applies algebra to the real-world problem of calculating continuous compound interest.