Overview

Make sense of Algebra II with this clear course that walks you through hundreds of problems, showing every step in their solutions and highlighting common missteps. Algebra II offers a deeper understanding of mathematical concepts, significantly extending the skills learned in Algebra I. With 36 engaging lectures, Professor Sellers provides a user-friendly approach suited for high school, home-schooled, and college students, as well as math teachers and curious learners.

Course Instructor

Professor Sellers eloquently explains the interconnected ideas of algebra, including functions, graphing, polynomials, conic sections, exponents and logarithms, and roots and radicals. You will learn to deploy key formulas and theorems, such as the quadratic formula and the change of base formula, making advanced topics approachable and enjoyable.

Video Lessons

• An Introduction to Algebra II
  • Duration: 32 min
  • Description: Explore the course topics and review the order of operations.

• Solving Linear Equations
  • Duration: 31 min
  • Description: Deep dive into solving linear equations, starting from one-step to more complex cases.

• Solving Equations Involving Absolute Values
  • Duration: 31 min
  • Description: Learn to solve equations with absolute values and understand their implications.

• Linear Equations and Functions
  • Duration: 29 min
  • Description: Understand how linear equations are represented graphically.

• Graphing Essentials
  • Duration: 29 min
  • Description: Learn to draw graphs from equations and adjust their positioning.

6. Functions-Introduction, Examples, Terminology
   • Duration: 31 min
   • Description: Grasp the definition and properties of functions, including domain and range.

7. Systems of 2 Linear Equations, Part 1
   • Duration: 29 min
   • Description: Solve systems of two linear equations graphically and understand possible outcomes.

• Systems of 2 Linear Equations, Part 2
  • Duration: 30 min
  • Description: Explore substitution and elimination methods for solving systems of equations.

• Systems of 3 Linear Equations
  • Duration: 31 min
  • Description: Learn to tackle systems of three linear equations using elimination.

10. Solving Systems of Linear Inequalities
    • Duration: 29 min
    • Description: Explore solutions to systems of linear inequalities.

11. An Introduction to Quadratic Functions
    • Duration: 32 min
    • Description: Visualize quadratic functions and their parabolic shapes.

12. Quadratic Equations-Factoring
    • Duration: 32 min
    • Description: Learn the factoring techniques essential for solving quadratic equations.

• Quadratic Equations-Square Roots
  • Duration: 31 min
  • Description: Understand solving quadratic equations using square roots.

• Completing the Square
  • Duration: 30 min
  • Description: Turn quadratic equations into solvable forms using completing the square.

• Using the Quadratic Formula
  • Duration: 30 min
  • Description: Master the quadratic formula and its application in various types of equations.

• Solving Quadratic Inequalities
  • Duration: 30 min
  • Description: Navigate systems and inequalities in quadratic expressions.

• Conic Sections-Parabolas and Hyperbolas
  • Duration: 32 min
  • Description: Explore the algebra of parabolas and hyperbolas derived from conic sections.

• Conic Sections-Circles and Ellipses
  • Duration: 32 min
  • Description: Investigate the algebraic properties of ellipses and circles.

19. An Introduction to Polynomials
    • Duration: 32 min
    • Description: Delve into polynomials and their characteristics.

• Graphing Polynomial Functions
  • Duration: 31 min
  • Description: Learn to graph polynomial functions and predict their shapes.

• Combining Polynomials
  • Duration: 34 min
  • Description: Understand how to combine polynomials through various operations.

• Solving Special Polynomial Equations
  • Duration: 32 min
  • Description: Explore techniques for solving higher-degree polynomial equations.

• Rational Roots of Polynomial Equations
  • Duration: 32 min
  • Description: Empirically find rational roots with theorem applications.

• The Fundamental Theorem of Algebra
  • Duration: 32 min
  • Description: Identify roots using descriptive tools like Descartes’ rule.

25. Roots and Radical Expressions
    • Duration: 32 min
    • Description: Work with radical expressions through various operations.

26. Solving Equations Involving Radicals
    • Duration: 31 min
    • Description: Practice solving equations involving radical expressions.

27. Graphing Power, Radical, and Root Functions
    • Duration: 32 min
    • Description: Analyze graphs of power and radical functions on the coordinate plane.

28. An Introduction to Rational Functions
    • Duration: 31 min
    • Description: Understand rational functions and their graph characteristics.

• The Algebra of Rational Functions
  • Duration: 31 min
  • Description: Learn to combine rational functions through algebraic operations.

• Partial Fractions
  • Duration: 30 min
  • Description: Split rational expressions using partial fraction decomposition.

31. An Introduction to Exponential Functions
    • Duration: 30 min
    • Description: Explore the applications of exponential functions in real-world contexts.

32. An Introduction to Logarithmic Functions
    • Duration: 32 min
    • Description: Study the properties and plots of logarithmic functions relative to exponentials.

33. Uses of Exponential and Logarithmic Functions
    • Duration: 30 min
    • Description: Use exponential and logarithmic functions to solve investment problems.

• The Binomial Theorem
  • Duration: 31 min
  • Description: Investigate Pascal’s triangle and its connection to the binomial theorem.

• Permutations and Combinations
  • Duration: 32 min
  • Description: Apply factorials to find permutations and combinations in various scenarios.

• Elementary Probability
  • Duration: 34 min
  • Description: Celebrate course completion through practical probability problems related to card games.