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Joseph W. Cutrone, PhD

This specialization is intended for students looking to solidify their algebra and geometry necessary to be successful in future courses that will require precalculus and calculus. Quantitiative skill and reasoning are presented throughout the course to train students to think logically, reason with data, and make informed decisions.

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What's inside

Three courses

Algebra: Elementary to Advanced - Equations & Inequalities

This course is intended for students looking to create a solid algebraic foundation. Topics include the real numbers, equalities, inequalities, polynomials, rational expressions and equations, graphs, relations and functions, radicals and exponents, and quadratic equations.

Algebra: Elementary to Advanced - Functions & Applications

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 provides multiple examples of common and uncommon types of functions used in a variety of disciplines.

Algebra: Elementary to Advanced - Polynomials and Roots

This final course in a three-part algebra sequence extends students' knowledge of advanced functions, applying and modeling them using algebraic and geometric techniques. It enables students to make logical deductions and arrive at reasonable conclusions, crucial skills in today's world.

Learning objectives

  • 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.

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