DENOMINACIÓN ASIGNATURA: Matemáticas para la Economía GRADO: Finanzas y Contabilidad CRONOGRAMA DE LA ASIGNATURA SE SEDESCRIPCIÓN DEL CONTENIDO DE LA SESIÓN MANA SIÓN 1 1 GRUPO (Marcar X) GRANPEDE QUEÑO X 3 X 4 X 5 Range of a matrix. Systems of linear equations: classification and matrix form 3 X 6 Exercises on calculus of the range of matrices and linear systems 4 X 7 Rouché-Frobenius Theorem. Discussion and resolution of linear systems: Method of Gauss and Cramer’s rule 4 X 8 Exercises on discussion and resolution of linear systems 5 HORAS PRESEN CIALES HORAS TRABJO Semana Máximo 7H 4 Readings and resolution of problems and/or realization of assigned works. X Exercises on resolution of determinants and calculus of inverse matrices 3 DESCRIPCIÓN 1,5 Properties of the determinant. Inverse matrix. 2 TRABAJO DEL ALUMNO DURANTE LA SEMANA 2 Exercises on operations with matrices and calculus of determinants 2 Indicar espacio necesario distinto aula (aula inform, audiovisual etc..) CUATRIMESTRE: 1 1,5 Matrices: operations with matrices and determinants 1 CURSO: 1 X 9 Real functions of one variable: definitions and operations with functions Properties of the elementary functions X Readings and resolution of problems and/or realization of assigned works. Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 4 5 5 5 5 10 Exercises on domain, range and graphs of functions. FIRST MIDTERM. 6 11 Limit of a function: definition and properties; operations with limits. Practical rules for calculus of limits; asymptotes 6 X X 12 Exercises on resolution of limits 7 13 Continuity of functions: definition and properties; operations with continuous functions; continuity of piecewise defined functions 7 X X 14 Exercises on the continuity of functions 8 15 Theorems of Bolzano and Weierstrass 8 X X 16 X Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 5 5 5 Exercises on applications of the theorems of Bolzano and Weierstrass 9 17 Derivative of a function: definition and properties; continuity and derivability; chain’s rule 9 X 18 Exercises on derivatives of elementary functions. Differentiation rules. SECOND MIDTERM. 10 19 Calculus of maximum and minimum of functions. Monotone functions. 10 X X 20 Exercises on calculus of maximum and minimum of functions. 11 21 Further applications of the derivative: convexity/concavity of functions; L’Hôpital Rule. 11 X X 22 Exercises on convexity/concavity and L’Hôpital Rule. 12 X 23 Primitive and integral: definition and properties. X 5 5 5 5 12 24 Calculus of primitives of elementary functions and of rational functions. 13 25 X Integration methods of change of variable and by parts. X 13 26 Exercises on change of variable and integration by parts. X 14 27 Definite integral and area. Fundamental Theorem of Integral Calculus. Barrow’s Rule. 14 28 Exercises on the definite integral. THIRD MIDTERM. SUBTOTAL 15 1618 TOTAL X X Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. Readings and resolution of problems and/or realization of assigned works. Readings and resolution of problems and/or realization of assigned works. 1,5 Readings and resolution of problems and/or realization of assigned works. 1,5 1,5 1,5 5 42 + 68 = 110 20 3 17 Recuperaciones, tutorías, entrega de trabajos, etc Preparación de evaluación y evaluación 5 150