Precalculus courses are designed to introduce students to concepts integral to understanding Calculus, giving them a solid foundation on which to base the more complex ideas introduced in Calculus classes. Due to the quick pace at which many Calculus courses are forced to move, many do not spend much time on teaching or reviewing basic concepts; this makes the class much more difficult for students who have not encountered basic Calculus concepts in Precalculus classes. Precalculus is thus highly recommended and often an enforced prerequisite for taking Calculus classes. By ensuring that you have a good grasp of the foundational concepts of Calculus introduced in Precalculus, you can set yourself up for succeeding in later Calculus courses and other advanced math classes. Whether you need top Pre-Calculus tutors in Albany, Pre-Calculus tutors in Milwaukee, or top Pre-Calculus tutors in Albuquerque, working with a pro may take your studies to the next level.

Precalculus builds upon concepts of functions and graphs that should be familiar to students from Algebra I and Algebra II courses. Precalculus covers the solving and graphing of functions, paying particular attention to the properties of functions, including domain, range, maxima, and minima, in order to teach students how to discuss and describe different aspects and properties of functions, which will come in very handy in Calculus courses. Precalculus also examines exponential and logarithmic functions, as well as the use of polynomials in functions and the effects exponents, logarithms, and polynomials each have on a function’s graph. The way in which trigonometric and linear functions are each graphed is covered, and conic sections are explored, including those of ellipses and circles. Varsity Tutors offers resources like free Pre-Calculus Diagnostic Tests to help with your self-paced study, or you may want to consider a Pre-Calculus tutor.

Precalculus also covers sequences and series. In particular, the course examines both arithmetic and geometric series, and teaches students to solve problems dealing with the sums of infinite series, and the terms in a series.

Precalculus also introduces students to limits, an important quality of certain functions that is a foundational concept in Calculus. Students learn to solve for limits, including limits as x approaches infinity and one-sided limits. In addition to the Pre-Calculus Practice Tests and Pre-Calculus tutoring, you may also want to consider taking some of our Pre-Calculus Flashcards.

Fully understanding these important Precalculus concepts can drastically reduce the difficulty that you encounter in Calculus courses. Want to review or study some of these Precalculus and Calculus concepts right now? Varsity Tutors’ free Precalculus Practice Tests are a source of multiple-choice Precalculus problems that you can use to review, study, or learn what you need to, when you need to. Each Precalculus problem comes with a complete, step-by-step answer, so if you miss one, you can figure out how to find the correct answer for the next time you encounter a similar problem. Problems are organized into Practice Tests, which draw from a wide variety of Precalculus topics, as well as by concept. So, if you only need to review problems that have to do with limits, you can select just those without having to bypass other problems that you will not find as useful, saving yourself time and allowing you to study in a targeted, efficient manner. By using Varsity Tutors’ free Precalculus resources effectively, you can keep up with your Precalculus, review Precalculus concepts while taking more advanced classes, or get an idea of the topics and questions that await you in a Precalculus course you have yet to take. Good luck learning these important mathematical concepts!