Welcome to
Functions Concepts

Resources to help you learn elementary functions, including notes, examples, and practice questions.

Clear and Concise

Notes

Course notes that provide clear and concise explanations of the foundational concepts in elementary functions - designed to simplify complex topics, helping you grasp essential ideas quickly and effectively.

Straight Foward Explanations
Concepts that are broken down into manageable steps, making even the most challenging topics easy to follow and understand.
Organized for Easy Navigation
Topics are grouped logically, allowing you to quickly find and reference the material you need.
Comprehensive Coverage
The notes cover all the fundamental topics, ensuring you have a complete understanding of the core concepts in elementary functions.
Key Definitions and Formulas
Important definitions and formulas are highlighted, making it easy to identify and reference key information.
Clear Presentation of Results
Important results are stated clearly, providing a reliable reference as you work through different concepts.

Learn By Doing

Examples

Plenty of examples that provide practical, real-world scenarios that help bridge the gap between theory and application. Each example is carefully crafted to demonstrate key concepts in probability and statistics, guiding you through the process of solving problems step by step.

Real-World Scenarios

Examples that are based on real-world situations, helping you understand how functions are used in everyday life.

Step-by-Step Guidance

Each example is broken down into manageable steps, making it easy to follow along and apply the concepts you've learned.

Practice Makes Perfect

Plenty of opportunities to practice solving problems, reinforcing your understanding of key concepts and helping you build confidence in your abilities.

Short Example

Maria invests $1000 in a savings account with an annual interest rate of 5%, compounded continuously. How much money will she have in the account after 3 years?

Solution: The formula for continuously compounded interest is given by: $$ A = Pe^{rt} $$ For Maria's investement we have $$ A = 1000e^{0.05 \cdot 3} = 1000e^{0.15} \approx 1161.83 $$ Therefore, after 3 years, Maria will have approximately $1161.83 in her account.

Solution

John von Neumann once said, "If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is".

A gardener has 20 meters of fencing to create a rectangular garden. What dimensions should the garden have to maximize its area?

Welcome to Functions Concepts