Mastering Exponential and Logarithmic Functions

🎓 Course Title: Mastering Exponential and Logarithmic Functions

🚀 Headline: Work with exponential and logarithmic functions like mathematicians do! Includes 130+ sample problems and solutions.

🎉 Description: Are you struggling with exponential or logarithmic equations in your mathematics or science class? You've come to the right place! In this comprehensive course, led by experienced instructor Ian Wagner, MA, you will extend the basic principles of exponents to create functions that model real-world phenomena such as growth and decay.

🧮 What You'll Learn:

• A solid understanding of exponential functions and their application in modeling continuous growth and decay.
• The fundamentals of logarithms, including properties and how they can solve advanced exponential equations.
• The use of Euler's Number (e = 2.71828...) for situations involving continuous change.
• Problem-solving skills for real-world scenarios using both exponents and logarithms effectively.

📊 Course Outline:

• Review of Exponents: Brush up on the foundational rules and operations involving exponents.
• Function Notation: Grasp the meaning and application of function notation.
• Exponential Modeling: Learn how to create models for growth and decay in real-world contexts.
• Euler's Number: Understand the significance of Euler's Number and continuous exponential functions.
• Logarithms & Logarithmic Functions: Dive into understanding and using logarithms.
• Growth & Decay Problems: Solve problems related to finance, chemistry, and physics.
• Graphing Techniques: Master the art of plotting exponential and logarithmic equations.
• Scientific Calculator Use: Get proficient with using a calculator like the TI-84 for solving problems.
• "Parent" Functions: Explore the basic exponential growth and decay functions.
• Domain & Range: Understand the domains and ranges of exponential and logarithmic functions.
• Half-Lives, Doubling Times: Calculate and understand concepts like halving times and doubling times.
• **"Natural" vs. "Common" Logarithms: Learn the differences between natural and common logarithms.
• Ph Levels in Chemistry: Apply logarithms to measure pH levels.
• Decibel Levels: Understand decibels and their relevance in sound measurements.
• "Change of Base," Rule of 72, Guessing Games: Explore advanced concepts and fun applications of exponents.

🎓 Features & Benefits:

• Lessons with clear explanations.
• Regular checks for understanding with detailed solutions.
• Over 115 additional problems to test your knowledge.
• Answer keys provided, or follow along with video solutions.
• Engaging and practical examples to help you grasp complex concepts.
• A wealth of resources, including instructional videos, problem sets, and supplementary materials.

👩‍🏫 Instructor: Ian Wagner, MA, is an expert instructor with a passion for making complex mathematical concepts accessible and understandable. His approach to teaching combines clarity, depth, and practical application, ensuring students are well-equipped to tackle exponential and logarithmic problems.

🤝 Join the Learning Journey: Whether you're a student, educator, or just curious about these mathematical marvels, this course will provide you with the tools and confidence to use exponential and logarithmic functions in any context. Let's embark on this learning journey together and unlock the secrets of exponents and logs! 🌟

Sign up now and take your first step towards mastering one of the most powerful tools in mathematics!