Algebra: Elementary to Advanced Specialization

Start your journey of Mathematics here. Master the fundamentals of Algebra

Instructor: Joseph W. Cutrone, PhD

What you'll learn

  •   Solving linear, quadratic, polynomial, and exponential equations.
  •   Properties of real, rational, and irrational numbers.
  •   Properties of a variety of functions (eg, graphs, domain, range, intercepts, asymptotes)
  •   Applications of the theory presented to model data, reason logically, and evaluate arguments.
  • Skills you'll gain

  •   Mathematical Modeling
  •   Graphing
  •   Geometry
  •   Applied Mathematics
  •   Algebra
  •   Arithmetic
  • Specialization - 3 course series

    This course is intended for students looking to create a solid algebraic foundation of fundamental mathematical concepts from which to take more advanced courses that use concepts from precalculus, calculus, probability, and statistics. This course will help solidify your computational methods, review algebraic formulas and properties, and apply these concepts model real world situations. This course is for any student who will use algebraic skills in future mathematics courses. Topics include: the real numbers, equalities, inequalities, polynomials, rational expressions and equations, graphs, relations and functions, radicals and exponents, and quadratic equations.

    After completing this course, students will learn how to successfully apply functions to model different data and real world occurrences. This course reviews the concept of a function and then provide multiple examples of common and uncommon types of functions used in a variety of disciplines. Formulas, domains, ranges, graphs, intercepts, and fundamental behavior are all analyzed using both algebraic and analytic techniques. From this core set of functions, new functions are created by arithmetic operations and function composition. These functions are then applied to solve real world problems. The ability to picture many different types of functions will help students learn how and when to apply these functions, as well as give students the geometric intuition to understand the algebraic techniques. The skills and objectives from this course improve problem solving abilities.

    This class is important as the mathematical ideas it treats and the mathematical language and symbolic manipulation it uses to express those ideas are essential for students who will progress to calculus, statistics, or data science.

    Algebra: Elementary to Advanced - Functions & Applications

    Algebra: Elementary to Advanced - Polynomials and Roots

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