Pre-Calculus
Pre-Calculus: The First Step to Higher Math at mathaversity.com
Welcome to mathaversity.com, your best e-learning and tutoring site. This is the best Pre-Calculus course you'll find. Our Pre-Calculus program is made to help you every step of the way, whether you're a high school student getting ready for AP Calculus, a college freshman getting ready for advanced math, or an adult learner who wants to build a strong math foundation.
What does "Pre-Calculus" mean?
Pre-Calculus is more than just a class; it's a way to get to the next level. It connects the basic ideas of algebra and geometry to the more complicated and changing world of calculus. It covers a lot of ground and helps you understand functions and how to use them better, which is the foundation for one of the most powerful branches of maths.
Our Pre-Calculus curriculum at mathaversity.com is carefully designed to make sure you not only learn the material but also really understand it. We don't just tell you what to do; we also tell you why you should do it.
Why should you choose mathaversity.com for pre-calculus?
Tutors who know what they're doing
Our platform puts you in touch with certified and experienced maths teachers who love teaching. They help you in a way that works for you, answer your questions, and make lessons fit your learning style.
Interactive Learning Modules
Our e-learning courses include interactive exercises, video tutorials, and step-by-step solutions to help you understand even the hardest ideas.
Downloadable Worksheets
We also have a huge library of practice worksheets that you can download for every subject, along with answer keys that explain everything. These are great for helping you remember what you've learnt and getting better at solving problems.
You can get to them here:
Worksheet
Flexible and Self-Paced
You can learn whenever and however you want. You can study whenever you want on our platform, which is open 24/7.
Getting Ready for Calculus
This class will help you do well in Calculus I and beyond. We make sure you fully understand the ideas that are necessary to understand limits, derivatives, and integrals.
Affordable and Accessible
A good maths education shouldn't be a luxury. We have flexible subscription plans and prices that are competitive so that everyone can learn.
Key Topics Covered in Our Pre-Calculus Course
Our curriculum is structured into key modules to provide a logical and progressive learning experience. Here is a detailed breakdown of the major topics you will explore.
Functions and Their Properties
- Fundamental Concepts: A deep dive into the definition of a function, domain, range, and various types of functions (linear, quadratic, polynomial, rational, and exponential).
- Function Operations: Learn how to perform operations like addition, subtraction, multiplication, and division on functions. This module also covers composite functions and finding inverse functions.
- Graphs of Functions: Mastering how to graph functions and understand transformations (shifting, stretching, compressing, and reflecting) to visualize mathematical relationships.
Polynomial and Rational Functions
- Polynomials: Techniques for analyzing polynomial functions, including the use of the Remainder and Factor Theorems, Synthetic Division, and the Rational Root Theorem to find zeros.
- Rational Functions: Understanding the behavior of rational functions by identifying vertical, horizontal, and slant asymptotes and using them to sketch accurate graphs.
Exponential and Logarithmic Functions
- Exponential Growth & Decay: Exploring exponential functions and their real-world applications in finance (compound interest) and science (population growth, radioactive decay).
- Logarithmic Functions: Unraveling the concept of logarithms as the inverse of exponential functions. Learn the properties of logarithms and how to solve exponential and logarithmic equations.
Trigonometry
- The Unit Circle: A cornerstone of trigonometry. Learn to use the unit circle to define trigonometric functions (sine, cosine, tangent) and understand their values at key angles.
- Trigonometric Functions & Graphs: Analyzing the graphs of the six trigonometric functions, understanding their periods, amplitudes, and phase shifts.
- Identities and Equations: Mastering fundamental trigonometric identities and using them to simplify expressions and solve complex trigonometric equations.
- The Law of Sines and Law of Cosines: Applying these powerful laws to solve non-right triangles, which is essential for physics and engineering applications.
Analytic Trigonometry
- Inverse Trigonometric Functions: Understanding and working with arcsin, arccos, and arctan, and their graphs.
- Solving Trigonometric Equations: Advanced techniques for solving equations involving trigonometric functions.
Vectors
- Vector Operations: An introduction to vectors, their components, and how to perform operations like addition, subtraction, and scalar multiplication.
- Dot Product & Applications: Using the dot product to find the angle between two vectors and determine orthogonality.
Conic Sections
- The Four Conics: A detailed study of circles, parabolas, ellipses, and hyperbolas. Learn to write their equations in standard form and graph them.
- Real-World Applications: Explore how conic sections are used in satellite dishes, planetary orbits, and architecture.
Who Should Sign Up for This Course?
Students in High School: Get ahead in school, get ready for the SAT or ACT, and lay the groundwork for AP Calculus.
College Students: Take a lower-level math or science class to meet a requirement for a higher-level class and make sure you understand the basics.
Adult Learners: If you want to start a new career, go back to school, or just learn something new, now is the time to brush up on your maths skills.
Are you ready to build a solid maths foundation?
Sign up for our Pre-Calculus class at mathaversity.com today and start your path to becoming a math expert. You'll be ready for the challenges of Calculus and beyond with our full curriculum and dedicated support.
