Equations

What is an equation? And how do you solve equations involving polynomials, square roots, trigonometric functions and exponential functions?

Context: Holland Particle Therapy Centre

This video shows proton therapy and the Holland Particle Therapy Centre as a context to explain the importance of equations. It gives a simplified explanation of how a CT scan works and generates equations.

Equations involving polynomials

How do you solve an equation involving polynomials of degree 1 and 2? This video shows you how! For degree 2 you will see how you can factorize, use the quadratic formula or complete the square. 

Equations involving polynomials - part 2

How do you solve an equation involving polynomials of degree 3 and higher? This video shows you that there is no general method, but gives some tools. 

Equations involving fractions

How do you solve an equation containing fractions? This video shows you how to simplify, solve and check these equations. 

Equations involving square roots

How do you solve an equation containing square roots? This video shows you how to simplify, solve and check these equations. 

General techniques for equations

This video shows you general techniques to solve an equation! Simplify the equation, Solve it and Check your answers in the original equation! 

Summary about equations - part 1

What is an equation? How do you solve equations of polynomials, with fractions or roots? Simplify, Solve and Check! This video gives the summary of week 3 of the edX course: pre-university Calculus (Calc001x).

Trigonometric equations

How do you solve an equation involving sine, cosine and tangent? Using the periodicity of the sine and cosine you can find all solutions!   

Equations involving exponentials and logarithms

How do you solve an equation containing exponentials and logarithms? Simplify the equation by changing to one base, possibly use substitution and reduce to a basic equation form.  

Solving inequalities

Solving an inequality means finding the answer to the question: For what input is the one function larger than the other?  

System of equations

How do you solve a system of equations? This video shows you how to do this using the substitution method!  

Summary about equations - part 2

How do you solve trigonometric equations (sine, cosine) and equations involving exponentials and logarithms? How do you solve an inequality or a system of equations? This video gives the summary of week 4 of the edX course: pre-university Calculus (Calc001x).

Preview linear programming

This university preview discusses how you can optimize a situation using linear programming. Using the example of producing Delft Blue cups and tiles we try to find the optimal mix to maximize profit.  

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