Plan Vanguardia U Cuenca

1. Bank of Descriptors for the Pragmathematics Entrance Test
0. IntroducingyoutoworkingwithExcel
1. Introductoryconcepts:numbers,variables,models,parameters.
1.1 Numbers
1.2 A little algebra:solvinganequationforthe unknown
1.3 Special numbers:pi,e
1.3 Systemsinnumbers:base numbers.
1.4 Seriesof numbers:vectorsof numbers,seriesof numbers(arithmetic,geometric).
1.5 (Seriesof) Randomnumbers
1.6 Variables
1.7 Models
2. Basic operationsonnumbers:adding,subtracting,multiplying, anddividing.
3. Exponentiation
3.1 Exponentiationof awhole numberbyawhole number.
3.2 Exponentiationof non-integernumbers.
3.3 Exponentiation anumbertoa non-integerpower
3.4 Sumsof squares(andvariance andstandarddeviationof aseriesof numbers);
estimationbythe “LeastSquares”principle.
3.5 Logarithms
4. Relationships
4.1 Simple linearrelationship
4.2 Multivariate linearrelationships.
4.3 Estimatingthe parametersof a linearrelationship byLeastSquares
4.4 Nonlinearrelationships:quadraticrelationships.
4.5 Othernonlinearrelationships.
4.6 Linearapproximationof nonlinearrelationships.
5. Some useful geometryandtrigonometry.
6. Data tablesandmatrices.
6.1 Vectorsof observationsormeasurements
6.2 Vectorsof centereddata.
6.3 Vectorsof standardizeddata.
6.4 The Correlationasa measure of association betweendataseriesordatavectors.
6.5 Multiple correlation
7. Data tablesandmatrices
7.1 Matrices andmatrix operations.
7.2 Analysisof datatables(matrices)
7.2.1 Approachinga data table throughthe entities(rows).
7.2.2 Approachinga data table throughthe variables(columns).
8. Null hypothesisandalternative hypothesis;probabilitydistribution.