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Course Description

Calculus Boosters is designed to help students succeed in introductory calculus courses. The focus of the course will be on the core algebra and trigonometry skills as they apply to calculus.

Course Details

  • Manipulating and simplifying algebraic expressions, and the application of these skills to calculating limits.
  • Using basic trigonometric identities to change the form of an expression, and the application of these skills to calculating limits involving trigonometric functions.
  • Understanding and comparing numbers, including fractions, and determining whether a given value should be positive or negative, and whether a number is small or large in magnitude, and the application of these skills to limits involving infinity.
  • Understanding function notation, and using it to evaluate composite functions, and the application of these skills to evaluate limits, including evaluating derivatives using the limit definition.
  • Understanding and evaluating piecewise functions, and the application of these skills to evaluating one-sided limits.
  • Knowing the properties of common functions.
  • Understanding logarithmic functions, including the ability to simplify a logarithmic expression using the rules of logarithms and solving simple exponential equations using logarithms, and the application of these skills to solving calculus problems involving logarithmic and exponential functions.
  • Solving linear and quadratic equations, and the application of these skills to finding the critical points of a function.
  • Solving inequalities, with an emphasis on determining the sign of an expression, and the application of these skills to sketching the graph of a function.

Notes

This course is intended for students completing undergraduate calculus courses.

Prerequisites

There are no prerequisites for Calculus Boosters.

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