General Mathematics Journey to a Mathematical Mind

  George Boole (1815 – 1864) invented Boolean Algebra. It is an algebra that is different from elementary algebra because variables in Boolean algebra take two possible values only, TRUE or FALSE, which is numerically indicated by 1 for TRUE and 0 for FALSE. Elementary algebra has addition, subtraction, multiplication, and division as operations, but Boolean algebra has conjunction, disjunction, and negation. Boolean algebra is the algebra that is at the heart of digital technology and computer science. Lesson 6.1 Propositional Logic Example 1. Identify if a proposition or not Example 2. Identify if a proposition or not Example 5. Propositions before and after logical operations Example 6. Write in sentences logical propositions Example 10. Write the variations of an implication (converse, inverse, contrapositive) Activity 6.1. Answers to some selected exercises on propositional logic Lesson 6.2 Logical Equivalence, Tautology and Fallacy Activity 6.3 Answers to selected exercises o...

  H enry Sy Sr. (1924 – 2019) is the legendary Filipino-Chinese who gave the Philippines its iconic department store, Shoemart. SM, as it is fondly called in the country, is not only a department store comparable with the best in the world in class, service, and reputation. SM has become the weekend destination for Filipino families. It is where Filipino families nurture and strengthen their bonds over dining tables, in movie houses, and in hundreds of services that are available in the mall. SM has grown to become SM Investments, a Filipino conglomerate that has corporate interests in real estate, retail, banking, and tourism. Before his passing in 2019, Forbes Magazine recognized Henry Sy Sr. as the richest Filipino in 2018. Henry Sy Sr. is an icon and a beacon that inspires the lives of Filipino visionaries and entrepreneurs.  Lesson 5.1 Simple Interest Example 1 - 4. Simple Interest Solved Problem 5.1. Interest and Interest Rate Example 7. Downpayment and Balance Example 1...

  A Beautiful Mind is a biographical film about John Nash, a mathematician who won the Nobel Prize for Economics in 1994. Nash developed the mathematical foundation of Game Theory, a subdomain of mathematics that models how people behave with one another in situations where people have competing or conflicting goals.  A Beautiful Mind stars Russel Crowe who played John. It won four Academy Awards: Best Picture, Best Director, Best Screenplay, and Best Supporting Actress. It is directed by Ron Howard and produced by Universal Pictures in 2001

  Hypatia (335 – 405 AD) is the first renowned woman mathematician whose life and times are fully documented. She is a philosopher, astronomer, and mathematician based in Alexandria, Egypt whose prestige was respected in even by the Holy Roman Empire even though she was not a Christian. She died tragically her body torn to pieces by a demented mob.  Her life and tragic death are told in the movie Agora, produced by Telecinco Cinema and released in 2009. Rachel Weisz played the role of Hypatia. The movie won the Alfred Sloan Foundation Film Prize at the 2009 Hampton International Film Festival. 3.1 Exponential Functions Example 7 Transformations of Exponential Functions Activity 3.1 Answers to Selected Questions on Exponential Function 3.2 Exponential Equations and Inequalities Solved Problems 3.1 Applying Laws of Exponents to Solve Exponential Equations Solved Problems 3.2 Graphing Calculators to Solve Exponential Equations Solution to Example 7. 1 < a (base is greater than...

  Leonhard Euler (1707-1783) a Swiss mathematician who ranks as one of, if not the leading, most prolific mathematician in history. The list of formulas and theorems named after him can cover one entire page of a book. 2.1 Inverse Functions Solved Problems 2.1 Functions and Inverse Functions Activity 2.1 Answers to Selected Questions One-to-One Functions and Inverse Functions 2.2 Graphs of Inverse Functions Example 8, 9, & 11 Activity 2.2 Answers to Selected Questions Graphs of 1-1 Functions and Inverse Functions

    Archimedes (287 - 212 BC) has the honor of being considered as the Father of Mathematics. He is a mathematician and one of the leading scientists of classical antiquity. 1.1 Fundamentals of Functions Solved Problems 1.1 Evaluating Functions Solved Problems 1.2 Intercepts of Functions Solved Problems 1.3 Evaluating Piece-Wise Functions Solved Problems 1.4 Operations on Functions Solved Problems 1.5 Function Composition Problem Solving. Find the x-intercepts of functions.  1.2 Rational Functions Solved Problems 1.7 Intercepts of Rational Functions Solved Problems 1.8 Vertical Asymptotes of Rational Functions Solved Problems 1.9 Horizontal Asymptotes of Rational Functions Answers to selected questions in Activity 1.2 Rational Functions 1.3 Rational Equations and Inequalities Solved Problems 1.12 Solution to Rational Equations Solved Problems 1.13 Number Problems Solved Problems 1.14 Motion Problems Solved Problems. 1.16 Solution to Rational Inequality Answers to selected...