Precalculus
Precalculus is a high school course that prepares students to study calculus. Students typically take precalculus during their 11th grade year. It is an introductory math course that combines trigonometry and math analysis. It covers topics such as functions, inverse functions, polynomials, sets, and sets of functions.
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Although students may feel like they are being thrown in the deep end, precalculus is meant to bridge the gap between algebra and calculus. It builds on what they’ve learned in previous high school courses. Usually, the course is offered as a one-semester or two-semester course. While both are intended to teach the basic concepts of calculus, the one-semester course is a bit faster paced.
In order to understand the concepts of precalculus, students should take advantage of online math tutors. These tutors provide step-by-step explanations and a variety of tools that make it easy to learn and master the content. Tutors also teach students how to identify clues, check work, and solve problems. Whether a student is taking a precalculus course to fulfill a math requirement, or to get a head start on college, an online tutor can help.
As a student of precalculus, you’ll need to be familiar with the fundamentals of trigonometry. You’ll learn about angles, arcs, and conics. You’ll also be introduced to the concepts of function composition and inverse functions. Unlike other high school courses, which tend to focus on geometric sequences and arithmetic sequences, precalculus focuses on mathematical analysis. Math analysis explores exponential, logarithmic, and rational functions. Often, this will lead to the study of conics, growth, and decay.
The precalculus course also includes the study of complex numbers, which may arise as the roots of quadratic equations with a negative discriminant. Complex numbers are often presented as inverses of the exponential function. Euler introduced transcendental functions in his precalculus.
Precalculus is a challenging course that requires students to memorize a large amount of material. However, if you are prepared, you can succeed. A good way to assess your progress is by taking practice tests. Your instructor may offer free tests, and if you’re worried about passing a test, consider taking an online tutorial. Once you have an idea of what to expect, you’ll be prepared to face the final exam.
Taking a precalculus course in high school can greatly improve your chances of getting into a college that offers Calculus. If you’re a science or math major, it’s also a good idea to take precalculus to prepare for a STEM career. After all, you’ll need to know how to apply these skills in a real-world setting.
To ensure that you’re prepared for Precalculus, take the time to study and review the content. Use your practice tests to gauge your progress, and remember to schedule plenty of time for revision. Many teachers assign projects to be completed in class, which will be graded. Also, be sure to contact your Department’s math adviser to inquire about advising hours.