| Educational guide School of Engineering |
english |
| Bach. Degree in Telecommunication Systems and Services Engineering (2016) |
 Subjects |
| MATHEMATICAL ANALYSIS I |
| Learning outcomes |
| IDENTIFYING DATA | 2023_24 |
| Subject | MATHEMATICAL ANALYSIS I | Code | 17244005 | |||||
| Study programme |
|
Cycle | 1st | |||||
| Descriptors | Credits | Type | Year | Period | ||||
| 6 | Basic Course | First | 1Q 2Q |
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| Competences | Learning outcomes | Contents |
| Planning | Methodologies | Personalized attention |
| Assessment | Sources of information | Recommendations |
| Type A | Code | Learning outcomes |
| FB1 |
Determine the joint solution to an inequality. Work with complex numbers in their binomial, polar and exponential expressions. Solve problems of square root extraction, exponentiation and logarithmic operations with complex numbers. Solve problems of limits, continuity and derivability. Calculate the Taylor series of "elementary" functions. Apply the Taylor series when solving problem using polynomial approximation. Approximate zeros of functions numerically. Apply the Taylor series to the calculation of "indeterminate" limits. Obtain graphically the derivative of certain basic functions. Apply differential calculation to solve problems of optimisation. Graphically represent a flat curve from its analytical expression. Analyze and interpret the graphical representation of a plane curve. Calculate integrals of basic functions. Approximate a definite integral numerically. Obtain graphically the integral of certain basic functions. Apply the definite integral for the calculation of physical parameters. Apply differential and integrated calculation to problem solving in physics and technology. | |
| Type B | Code | Learning outcomes |
| B2 |
Know and understand the basic properties of the complex numbers. Understand the basic properties of complex numbers. Understand the notions of limit, continuity and derivability of a real function of a real variable in terms of geometry and shape. Know the Taylor series of a function. Calculate the Taylor series of "elementary" functions. Approximate zeros of functions numerically. Understand the derivative as a tool for the study of dynamic processes. Understand the concept of indefinite integral. Understand the concept of definite integral in terms of geometry and shape. | |
| Type C | Code | Learning outcomes |
