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about yaz li
I am passionate about engineering, science and entrepreneurship. I have done my PhD in electrical engineering and taught courses such as Electric Circuits, Control Systems, Fundamentals of Electric Engineering, Logic Circuits in universities. Here, I am sharing notes that I took during my sixteen years of studying, teaching, researching and working in electrical engineering field. I hope you find my articles useful.
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Author Archives: Dr. Yaz Z. Li
Solving Quadratic Equations II: Taking Square Roots
Solving quadratic equations by taking the square root of both sides of the equation is explained. Some examples are provided to show the method step by step. Continue reading
Posted in Precalculus
Tagged Quadratic, Quadratic Equations, solving equations, solving linear equations, Square Roots
2 Comments
Solving Quadratic Equations I: Factoring (Grouping)
Solving quadratic equations by factoring is explained with some examples. Two methods are introduced to factorize quadratic equations. Other methods of solving quadratic equations are also addressed. Continue reading
Posted in Precalculus
Tagged Factoring, Factors, Quadratic, Quadratic Equations, solving equations
1 Comment
Solving Equations II: Radical Equations
This article explains the process of solving equations with radicals. Solving radical equations is performed by isolating radicals and raising both sides to a power equal to the index of the radicals one by one. The method is explained and ten examples are solved to illustrate solving equations with radicals. Continue reading
Solving Equations I: Linear Equations
This article explains the process of solving equations of linear form. Solving linear equations is performed by isolating the unknown variable. Two methods are introduced to fulfill isolation. The article also contains ten examples to illustrate solving equations. Continue reading
Problem 2-11: Differentiating by Chain Rule
Differentiating (1+sqrt(x))^8 by the chain rule. Determining individual components of the chain rule. Continue reading
Problem 2-10: Diffrentiating
Diffrentiating f(x)= (1-2x^2)/(1+x+x^2) and f(x)= (1-2x^2)(1+x+x^2) Continue reading
Problem 2-9: Differentiating Polynomial and Rational Functions
Differentiating f(x)= 1+ 2x, f(x)= 1 – 2x + 2x^2, f(x)= 1- x^2 +1/x and f(x)= 1 – x +1/(1-x) Continue reading
Problem 2-8: Integration
Integrating e^x/(1+e^x) Continue reading
Problem 2-7: Evaluatin Definite Integrals
Evaluating definite integrals x^2, sin(x), 2x^3+x-1 and |x| Continue reading
Problem 2-6: Odd and Even Functions
Determining odd and even functions for sin(x), cos(x), sin(x)cos(x), x*sin(x), x^2 and sin(x)+cos(x) Continue reading
