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This course provides a comprehensive introduction to advanced functions, including polynomial, rational, exponential, and trigonometric functions. Students will learn how to apply these functions in real-world scenarios, as well as how to graph and analyze their behavior. Emphasis will be placed on developing problem-solving skills and understanding the theoretical foundations of each function type.
This course is designed for students who have already completed a basic algebra and trigonometry course. It is intended to build upon those foundation skills and provide a deeper understanding of mathematical concepts. Students will be challenged to apply their knowledge in creative and innovative ways, as well as to think critically about complex problems.
At USCA Academy, we believe that advanced functions are an essential tool for any aspiring mathematician or scientist. By mastering these concepts, students will gain a deeper understanding of the mathematical world and develop skills that can be applied in a wide range of fields. Our experienced instructors will provide personalized attention and support to help students achieve their full potential.
This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop a facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to various university programs.
Core Module
Basic Skills Review
Polynomial Functions
Rational Functions
Trigonometric Functions
Exponential and Logarithmic Functions
Characteristics of Functions
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