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- Explain the theory of relativity.
- Understand the Pythagorean theorem.
- Define the value of e.
- Describe the relationship between diameter and circumference and pi.
- Learn how to use Isaac Newton's formula for the force of gravity.
- Discuss Euler's identity.
- Examine Fermat's last theorem.
- Understand how to calculate monthly loan payments.
- Define the absolute-value inequality.
- Learn how to use the quadratic formula.
1. Theory of Relativity: Definition & Example
Einstein's special theory of relativity explains how energy and mass are related and how objects seem to behave as they approach the speed of light. Learn to define Einstein's theory of relativity, and use examples to explain the speed of light and Einstein's mass-energy equivalence equation and how it is used.
2. Pythagorean Theorem: Definition & Example
Pythagorean theorem, named after the mathematician Pythagoras, shows the relation between the sum of the squares of each of the three sides of a right triangle. Learn about the definition of the Pythagorean theorem, discover how a right triangle and sides of a triangle are used in the equation of the theorem, and explore the application of the Pythagorean theorem through relevant examples.
3. The Value of e: Definition & Example
The mathematical constant e was coined by the 18th-century Swiss mathematician, Leonhard Euler. Learn the definition of the value of e, what makes e an irrational number, and study an example of e.
4. Diameter and Circumference Related with Pi
In mathematics, pi is a constant that is equal to approximately 3.14, though the number actually is infinite. Learn about the definition of pi and explore its relationship to the diameter and circumference of a circle, the formula for calculating circumference, and also practice finding the circumference or diameter of a circle.
5. Isaac Newton's Formula for the Force of Gravity: Definition & Example
As the man who created the law of universal gravitation, Isaac Newton is one of the most renowned scientists to ever live. In this lesson, explore the definition of the force of gravity, the relationship of two objects, Newton's formula for the force of gravity, and an example of finding the force.
6. Euler's Identity: Definition & Example
As a famous mathematical equation, Euler's identity is often referred to as a mathematical jewel. Learn the definition of Euler's identity, explore why it is important, and discover how to apply the formula of Euler's identity formula with a provided example.
7. Fermat's Last Theorem: Definition & Example
Fermat's Last Theorem asserts that the sum of two positive numbers taken to a power greater than 2 will be equal to a third positive number taken to the same power greater than 2. Learn the definition of Fermat's Last Theorem, which was discovered in the margins of a book and remained unsolved for more than 300 years, and see how it relates to the Pythagorean Theorem.
8. Calculating Monthly Loan Payments
For most loans, such as a mortgage loan to purchase a house, the lender requires the borrower to make monthly loan payments, which include payments on the interest charged for the borrowed money. Explore the formula to calculate the amount of monthly interest and the number of payments required to repay a loan. Use the formula to find the monthly payment amount.
9. The Absolute-Value Inequality: Definition & Example
Absolute value inequalities are types of problems that may seem complicated from the outset but are relatively simple to solve with the right understanding. Take a closer look at the definitions of the absolute value and the absolute value inequality, followed by an example of how to set up and solve these types of problems.
10. The Quadratic Formula: Definition & Example
The quadratic formula is arguably one of the most well-known and important formulas in math. In this lesson, look at the definition of the quadratic formula, its standard form, how to plug in your values, and an example of the formula in action.
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Other chapters within the NY Regents Exam - Integrated Algebra: Tutoring Solution course
- NY Regents - Number Theory & Basic Arithmetic: Tutoring Solution
- NY Regents - Problems with Decimals and Fractions: Tutoring Solution
- NY Regents - Problems with Percents: Tutoring Solution
- NY Regents - Problems with Exponents: Tutoring Solution
- NY Regents - Problems with Exponential Expressions: Tutoring Solution
- NY Regents - Problems with Radical Expressions & Equations: Tutoring Solution
- NY Regents - Problems with Algebraic Expressions and Equations: Tutoring Solution
- NY Regents - Distributing Terms in Algebra: Tutoring Solution
- NY Regents - Algebraic Linear Equations & Inequalities: Tutoring Solution
- NY Regents - Matrices and Absolute Value: Tutoring Solution
- NY Regents - Overview of Functions: Tutoring Solution
- NY Regents - Factoring with Variables: Tutoring Solution
- NY Regents - Quadratics & Polynomials: Tutoring Solution
- NY Regents - Rational Expressions: Tutoring Solution
- NY Regents - Graphing Functions: Tutoring Solution
- NY Regents - Calculations with Ratios, Percent & Proportions: Tutoring Solution
- NY Regents - Sets: Tutoring Solution
- NY Regents - Probability and Statistics: Tutoring Solution
- NY Regents - Probability Mechanics: Tutoring Solution
- NY Regents - Working with Data: Tutoring Solution
- NY Regents - Intro to Trigonometry: Tutoring Solution
- NY Regents - Measurement for Algebra Students: Tutoring Solution
- NY Regents - Geometry for Algebra Students: Tutoring Solution