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A Program of the Virginia Department of Education

02104 Pre-Calculus/Mathematical Analysis

Field of Study

Mathematical Analysis develops students’ understanding of algebraic and transcendental functions, parametric and polar equations, sequences and series and vectors.

Material Covered

Students will complete 12 Modules. Module 1: Fundamentals; Module 2: Functions; Module 3: Linear Functions and Modeling; Module 4: Polynomial and Rational Functions; Module 5: Exponential and Logarithmic Functions; Module 6; Trigonometric Functions; Module 7:Periodic Functions; Module 8: Trigonometric Identities and Equations; Module 9: Polar, Parametric and Vectors; Module 10 Systems of Equations; Module 11: Analytic Geometry; Module 12: Sequences, Series and Introduction to Calculus

Student Expectations

Students will complete a variety of assignments including discussion board assignments and dropbox assignments. Work related to each lesson results in a culminating quiz. This course contains a mix of writing, multiple choice, and other assignments. Students are expected to complete all course work according to the schedule posted by the instructor. Students should plan on several hours per week of work outside of the regular school day. All students must complete a final exam at the end of the course.

Related Requirements

Graphing calculators will be used to assist in teaching and learning. Graphing utilities enhance the understanding of realistic applications through modeling and aid in the investigation of functions and their inverses. They also provide a powerful tool for solving and verifying solutions to equations and inequalities.


  • Successful completion of Algebra I, Geometry and Algebra II

Course Texts and Materials


  • Online: OpenStax PreCalculus (Jay Abramson, Nicholas Belloit, Valeree Falduto, Rachael Gross, David Lippman, Jean-Marie Magnier, Rick Norwood, Melonie Rasmussen, Harold Whipple, and Christina Fernandez).
  • WebAssign.net by Cengage is a customizable online instructional system that provides extensive content and instant assessment. More details will be given by the teacher once the course begins.
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