If you change the way you look at things, the things you look at change.
Max Plank
The real voyage of discovery consists not in seeking new landscapes, but in having new eyes. Marcel Proust

"My cousin, at that time, (...), was in high school and was having considerable difficulty with his algebra and had a tutor come, and I was allowed to sit in a corner while (LAUGHS) the tutor would try to teach my cousin algebra, problems like 2x plus something. I said to my cousin then, "What're you trying to do?" You know, I hear him talking about x. He says, "What do you know 2x + 7 =15," he says "and you're trying to find out what x is." I says, "You mean 4." He says, "Yeah, but you did it with arithmetic, you have to do it by algebra," and that's why my cousin was never able to do algebra, because he didn't understand how he was supposed to do it. There was no way. I learnt algebra fortunately by not going to school and knowing the whole idea was to find out what x was and it didn't make any difference how you did it, there's no such thing as, you know, you do it by arithmetic, you do it by algebra, that was a false thing that they had invented in school so that the children who have to study algebra can all pass it. They had invented a set of rules which if you followed them without thinking could produce the answer: subtract 7 from both sides, if you have a multiplier divide both sides by the multiplier and so on, and a series of steps by which you could get the answer if you didn't understand what you were trying to do."

NYT, Richard Feynman: "Richard P. Feynman, arguably the most brilliant, iconoclastic and influential of the postwar generation of theoretical physicists (...)"

Any fool can know. The point is to understand. Albert Einstein.

This course contains topics such as solving and graphing linear, absolute value and quadratic inequalities; properties of exponents and logarithms; solving radical, absolute value, exponential and logarithmic equations; properties and graphs of quadratic, absolute value, square root, cubic and cube root functions; and systems of linear equations and inequalities. Applications appear throughout the course.

Spring 2020, Miami Dade College

03/09 Introduction to the Course. Complex Numbers.
Quadratic Equations

03/11 Applications of Quadratic Formula

03/13 Solving Radical Equations. Solving Equations Quadratic in Form.
Absolute Value Equations and Inequalities

03/16 Review1

03/18 Test 1

03/20 Functions (Definition and Domain). Functions (Notation and Difference of Quotient).
The Graph of a Function

03/23 Properties of Function. Library of Functions and Piecewise Functions

03/25 Graphing Techniques (Translations)

03/27 Composite Functions. One to One Functions and Inverse

03/30 Review

04/01 Test 2

04/03 Quadratic Functions and their Properties.
Inequalities Involving Quadratic Functions.

04/06 Properties of Rational Functions. The Graph of a Rational Function.

04/08 Polynomial and Rational Inequalities. Systems of Linear Equations.
Systems of Linear Equations: Determinants

04/10 Review

04/13 Test 2

04/15 Exponential Functions. Logarithmic Functions.
Properties of Logarithms

04/17 Exponential Equations. Logarithmic Equations.
Financial Models and Applications of Log and Exp. Equations.

"The greatest shortcoming of the human race is our inability to understand the exponential function."
Professor Bartlett: Arithmetic, Population and Energy