What’s Covered In Precalculus?
Most students who start precalculus in high school have not had much exposure to trigonometry or calculus, and they may have little understanding of the radians and angles that are part of the course. This can lead to a steep learning curve when beginning precalculus.
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Some students have the most success with precalculus when they learn this material through a high-quality online math program like Time4Learning, which features engaging on-screen teachers who present learning objectives, explain concepts, and model math strategies for visual learners. This online math program also allows students to work through the course in a sequential way or focus on specific areas where they need additional remediation.
The course will introduce the student to basic algebraic and transcendental functions, including trigonometric and logarithmic functions. It will also cover topics such as the binomial theorem, polar coordinates, mathematical induction, and sequences and series.
In addition, the course will also cover graphing techniques for functions and will introduce students to vector algebra. This will give them the foundation they need to succeed in calculus.
Graphs are essential to understand the properties of functions and will help them solve equations in other fields as well. The course will teach students how to draw graphs of functions and inverse functions.
Polynomials are complex numbers that have a real part and an imaginary part. They can be defined as an expression that consists of multiple variables and their coefficients, and constants that are joined using algebraic operations like addition, multiplication, and positive exponentiation.
Trigonometry is a branch of mathematics that deals with the study of triangles. It begins with an understanding of the basic trigonometric functions and how they are represented in rotations, degrees, and radian measures. It then moves on to the Unit Circle, which allows students to explore trigonometric graphs, trig identities, and trig equations.
Other topics include complex numbers, polar coordinates, and the limits of sequences and series. These topics are essential to understanding how functions can change over time.
Equations are also a major component of this course and will involve solving linear and polynomial equations as well as equations with radicals. These types of equations will also involve the use of absolute values.
Inequalities are also an important part of this course and will teach students how to use linear and polynomial inequalities in different situations. This will help students in the future when they take courses in other subjects, such as physics or engineering.
The course will also teach students how to use equations and inequalities to make predictions about the effects of changes in a given set of factors. This will help them in a variety of applications, such as in determining the best possible plan for a project or in planning an event.