MAC 1105 College Algebra

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

MAC1105 Course description:

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.

Thurs 6:30-9:15 PM
Room 107, Building 70.

Syllabus MAC1105

MyMathLab Homework:

Office Hours:
Thursdays 2:30-3:00 pm
Building 69, Room 237

Broward College, South Campus.
Instructor: Carlos Sotuyo

PPTs_CollegeAlgebra_5thEd (zip folder, windows)



"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."

Taken from The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman

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.

Millersville University:
sheets & solutions for Basic Algebra

MAC1105, College Algebra

Fall 2019, Broward College

Introduction to the Course & Review.
1.6: Radical and Rational Exponent Equations
1.7: Absolute value equations and inequalities

2.1: Basics of Functions and their graphs
2.2: Piece-wise functions and symmetry
2.5: Transformations of functions.

Review 01.

Test 1

2.6: Combinations and Compositions of functions
2.7: Inverse functions

2.8: Distance, midpoint formulas and circles
3.1: Quadratic functions
3.6: Polynomial inequalities

Review 02

Test 2

4.1: Exponential functions
4.2: Logarithmic functions
4.3: Properties of logarithms
4.4: Exponential and logarithmic equations
4.5: Exponential growth and decay

Review 03

Test 3

8.1: Systems of equations in 2 variables
8.2: Systems of equations in 3 variables
8.5: Systems of inequalities
Practice06 & Review 4

Q&A (Review 4) and  Test 4

Review for Final Exam Handwritten answers here.

Cumulative Final Exam

Prof. R. Delaware, Kansas' Univ.
College Algebra:

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