INTENSIVE MATHEMATICS (MAT 011)

MATHEMATICS

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the abstract study of topics encompassing quantity, structure,^]space, change, and other properties; it has no generally accepted definition.

Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. The research required to solve mathematical problems can take years or even centuries of sustained inquiry. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. When those mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature.

Through the use of abstraction and logical reasoning, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects

Formula mathematics

Chapter 1, 2, and 3.

Prime number, P is a number that is only divisible by 1 and itself with no remainder.

Natural numbers, N are the counting numbers.

Whole numbers, W are numbers consisting of 0 and all the counting numbers.

Integers denoted, Z are numbers consisting of negative integers (Zˉ) , 0 , and positive integers (Z+).

Rational numbers, Q is a number that can be written in the form of P/Q where P and Q are integers and Q ≠ 0 that terminates or repeats in its decimal represation. 

Chapter 4

           where P = amount invested  or borrowed or commonly known as principal

                     r = rate of interest earned or charged

                     t = loan or investment period

                     I = interest earned or charged 

Chapter 5

Introduction to inequalities

           Interval notation and number line

Chapter 6

        Exponents and logarithms …

Chapter 7 

Functions and graphs

Function is only one image on Y .

Symbol  function ,

f: x  y    or   f(x) = y