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If you change the way you look at things, the things you look at change.

Max Plank

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

I have preferred to teach my students not English literature but my love for certain authors, or, even better, certain pages, or even better than that, certain lines.
Jorge Luis Borges.

MGF 1107 Mathematics for Liberal Arts II.

Course Description: This course introduces the student to the concepts of financial mathematics, linear and exponential growth, numbers and number systems, history of mathematics, elementary number theory, voting techniques, and graph theory.

MGF 1107 Mathematics for Liberal Arts II.

Spring 2018, 8 weeks:

1/09 --2/28.

1. Lecture Notes, Graph Theory and Voting Methods. 1/09

2. 01/17, Reviews: Graphs and Voting Methods. Correct choices here.

3. Answers for some HW questions, see pdf here.

4. 01/22, Test 1: graphs and voting methods.

5. 01/22, Arithmetic lecture: number bases, integers, rationals, irrationals, exponentiation, scientific notation: Notes.

Binary System: Explanation of Binary Arithmetic by G. W. Leibniz, original paper, 1703.

6. 01/24 and 01/29: Review arithmetic. Correct choices Here.

7. Extra: HW questions to be discussed in class 1/29 Here

7. Wednesday 01/31 Test 2: Arithmetic.

8. 01/31: Linear equations and inequalities. Algebra Notes.

9. 02/5, 02/7 Review 3: Algebra and HW questions review.

"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 (...)"

10. Monday 02/ 12 Test 3: Algebra

11. 02/12 Personal Finance, Lecture Notes.
Formula sheet to be allowed on test 4.

12. 02/14, Review Finance. HW examples ( I will go over them in class).

If you own a TI 83 or TI 84, you may use the finance app for yopur calculations. Instructions by By Jeff O'Connell, Ohlone College. TI instructions, here and online tutorials here: TVMCalc.com

Loan amortization schedule, Excel spreadsheet.

Virtual TI 83: Download compressed folder (win zip)
Once downloaded, right click on the zip folder, choose extract all, double click on Vti application.
You got a virtual TI 83 !

13. 02/21 Wednesday: Review Finance, cont. (First hr); Test 4, Finance, second hour. (Students may take test 4 on 02/28).

14. 02/26 Review for Final exam and correct choices. (According to Syllabus, Final exam is optional, it would replace your lowest grade).
The Final Exam will include 5 questions from each chapter. Note: Review for the final exam does not include chapter 14, Finance. Consider the Review for Finance part of the review for the final.

15. 02/28 Final and/or Test 4 for those who did not take test 4 on the 21st.

8 weeks Course ENDS !!

Syllabus_10326: 5:40 pm-8:10 pm
Online HW instructions

MDC Kendall Campus, room 9220

Office Hours: MW 4:30 pm -5:30 pm, Room 3348

MGF 1107 competencies Miami Dade College

Instructor: Carlos Sotuyo
Instructor's email: csotuyo@mdc.edu


Test 1
: Graphs and voting methods.
Test 2: Arithmetic (number bases, integers, exponentiation, radicals, rationals, irrationals, scientific notation).
Test 3: Linear equations and inequalities.
Test 4: Finance (taxation, annuities, mortgages).

Project (Due on 2/14):
Writing a Paper on a Known Mathematician.
Instructions on the syllabus (last page).

The Story of Mathematics, website.

If A is a success in life, then A equals x plus y plus z.
Work is x; y is play; and z is keeping your mouth shut.
Albert Einstein

Prof. James Souza, Phoenix College.
Introduction to Graph Theory:

Prof. James Souza, Phoenix College.
Introduction to Voting Theory:

Brains at Work !

Taxi Drivers' Brains Grow to Navigate London's Streets.
Scientific American

National Geographic Video: London Taxi Drivers' Brains