Applications Of Calculus At High School Level

Explore Real-World Problem Solving with Derivatives and Integrals – Perfect for High School Learners!

What you'll learn

Understand the fundamental concepts of differentiation and integration in real-world contexts.

Apply derivatives to solve problems related to motion, rates of change, and optimization.

Use integration to find areas under curves and solve real-life accumulation problems.

Solve practical problems involving area, velocity, and growth using calculus concepts.

Requirements

A basic understanding of algebra, geometry, and functions is recommended. Familiarity with the concepts of limits and basic differentiation will be helpful but not required. Access to a scientific calculator or graphing tool for solving problems. Suitable for beginners with a keen interest in learning calculus applications and real-world problem-solving.

Description

Welcome to Applications of Calculus at High School Level! This course is intended for purchase by adults. This course is designed specifically for adults—whether you are a parent helping your child, a teacher looking to expand your knowledge, or an adult learner seeking to understand the practical applications of calculus. You don't need to be an expert in mathematics to get started; this course will walk you through the essential calculus concepts and show you how they apply to real-world scenarios.In this course, you'll explore how calculus is used to solve practical problems in fields like physics, economics, and biology. We will cover fundamental concepts such as derivatives and integrals, focusing on their real-life applications. You will learn to use derivatives to analyze rates of change, optimize functions, and understand motion. You will also discover how integration is used to find areas under curves and model growth or accumulation over time.By the end of the course, you will have a deeper understanding of how calculus impacts everything from calculating distances to optimizing systems. Whether you’re supporting your child through high school mathematics or looking to gain a practical understanding of calculus for your own personal or professional growth, this course will equip you with valuable skills and insights. Start your journey today and unlock the power of calculus in everyday life!

Overview

Section 1: Know How to Differentiate Properly First

Lecture 1 Using the Power Rule for a Surd and a Fraction Simultaneously

Lecture 2 Differentiating an Expression That Has Pi and a Fraction

Lecture 3 Factorizing a Cubic Expression Before Differentiating

Lecture 4 Matching Two Expressions and Differentiating to Get Two Variables

Lecture 5 Differentiating an Expression That’s One Big Thing

Lecture 6 Given Dx, What They Want You to Do

Lecture 7 Isolating y Before Differentiating

Lecture 8 Difference of Two Squares and Differentiation

Section 2: Questions That May or May Not Need Rate of Change Equations

Lecture 9 Determining the Average Rate of Change of the Depth of Water

Lecture 10 Determining the Rate of Change of the Depth of Water

Lecture 11 Level 5 Distance, Time, and Speed Question

Lecture 12 Determining Time Taken to Fill a Cup

Lecture 13 Calculating the Average Velocity

Lecture 14 Getting the Velocity of the Ball

Lecture 15 Getting the Time Taken for a Ball to Reach Its Maximum Height

Lecture 16 Getting the Velocity at Which the Ball Hits the Ground

Section 3: Rate of Change Questions With Sketches and Shapes

Lecture 17 Getting the Volume Equation of a Suitcase

Lecture 18 All This Must Be Known Before Understanding Applications of Calculus

Lecture 19 You Will Start to Understand Applications of Calculus After This

Lecture 20 Maximum x Value for the Volume of a Cone

Lecture 21 Equation of a Cubic Function as a Flowing River

Lecture 22 Getting the Area of a Shape on a Cartesian Plane

Lecture 23 A Bridge and a Road That’s a Tangent to a River Question

Lecture 24 The Hardest Question in This Course, Lowkey

High school students in Grades 10, 11, and 12 looking to understand the real-world applications of calculus. Adults interested in learning calculus concepts in a practical, accessible way. Teachers and tutors who want to enhance their teaching with practical calculus examples. Anyone looking to explore how calculus can be applied to motion, growth, optimization, and other real-life scenarios.