ma_eco_pre_pap3_bl1
... primitive concept, instead of being defined in terms of set theory. The terms transformation and mapping are often synonymous with function. In some contexts, however, they differ slightly. In the first case, the term transformation usually applies to functions whose inputs and outputs are elements ...
... primitive concept, instead of being defined in terms of set theory. The terms transformation and mapping are often synonymous with function. In some contexts, however, they differ slightly. In the first case, the term transformation usually applies to functions whose inputs and outputs are elements ...
Quadratic functions
... Example: A fence is to be built to form a rectangular corral along the side of a barn 65 feet long. If 120 feet of fencing are available, what are the dimensions of the corral of maximum area? ...
... Example: A fence is to be built to form a rectangular corral along the side of a barn 65 feet long. If 120 feet of fencing are available, what are the dimensions of the corral of maximum area? ...
Notes
... Combinatorics is the branch of mathematics that looks at combining objects according to certain rules (for example: sudoku). Typically we want to decide if this can be done, or more generally, in how many ways it can be done. ...
... Combinatorics is the branch of mathematics that looks at combining objects according to certain rules (for example: sudoku). Typically we want to decide if this can be done, or more generally, in how many ways it can be done. ...
Different terms
... words and mathematical operations just takes a little vocabulary drill. Below are some of the most common phrases used in problem solving, together with the operations they represent. Study these relationships and you should be a whiz at algebraic representation. ...
... words and mathematical operations just takes a little vocabulary drill. Below are some of the most common phrases used in problem solving, together with the operations they represent. Study these relationships and you should be a whiz at algebraic representation. ...
Definition: lim f(x) = L means: (1) f is defined on an open interval
... Proof. The function x 7→ 4x − 5 is a polynomial function, so defined for all real numbers. [(This satisfies the first condition of limits.)] Let ǫ > 0. [(We broke up the part: For all ǫ > 0 something-or-other holds.)] Set δ = ǫ/4. [(The somethingor-other above said that there exists δ > 0 such that ...
... Proof. The function x 7→ 4x − 5 is a polynomial function, so defined for all real numbers. [(This satisfies the first condition of limits.)] Let ǫ > 0. [(We broke up the part: For all ǫ > 0 something-or-other holds.)] Set δ = ǫ/4. [(The somethingor-other above said that there exists δ > 0 such that ...
Beyond the Fundamentals
... Chart analysis begins with a time series plot of an asset’s price Charts can be hourly, daily, weekly, etc. Higher frequency data will be more detailed, but noisier. Chart looks for patterns in the chart to identify resistance (upper bounds) and support levels (lower bounds) ...
... Chart analysis begins with a time series plot of an asset’s price Charts can be hourly, daily, weekly, etc. Higher frequency data will be more detailed, but noisier. Chart looks for patterns in the chart to identify resistance (upper bounds) and support levels (lower bounds) ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.