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

MWF 7:00 - 9:15 AM
Blackboard (online)

SyllabusMAC1105

MyMathLab Homework:
Student_Registration_Handout

Office Hours: Blackboard

Miami Dade College, Hialeah Campus.
Instructor: Carlos Sotuyo email: csotuyo@mdc.edu

Blackboard collaborate for students
Brief tutorial:

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

"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."

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.

Summer 2020, Miami Dade College

06/01 Introduction to the Course. Complex Numbers.
Quadratic Equations. Practice 01
As notes, students may use the powerpoint presentations to be downloaded from left panel of this page:
Applications of Quadratic Formula. Solving Equations Quadratic in Form. Practice 02
06/03 Solving Radical Equations.
Absolute Value Equations and Inequalities. Practice 03.Practice 03 Handwritten Answers.

06/10 Functions (Definition and Domain). Functions (Notation and Difference of Quotient).
The Graph of a Function. Practice 04
Properties of Function. Library of Functions and Piecewise Functions. Practice 05

06/12 Graphing Techniques (Translations). Practice 06
Composite Functions. One to One Functions and Inverse. Practice 07.

06/15 Review 2. Answers here. 06/17 Test 2
06/19 Quadratic Functions and their Properties.
Inequalities Involving Quadratic Functions.

06/22 Properties of Rational Functions. The Graph of a Rational Function. Practice 08.

06/24 Polynomial and Rational Inequalities. Systems of Linear Equations.
Systems of Linear Equations: Determinants. Practice9.
06/26 Review
06/29 Test 3

07/01 Exponential Functions. Logarithmic Functions.
Properties of Logarithms. Exponential Equations.
Logarithmic Equations.
Financial Models
Applications of Log and Exp. Equations. Practice10.

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