Unit MATHEMATICAL ANALYSIS
- Course
- Informatics
- Study-unit Code
- GP004139
- Location
- PERUGIA
- Curriculum
- In all curricula
- Teacher
- Antonio Boccuto
- CFU
- 12
- Course Regulation
- Coorte 2017
- Offered
- 2017/18
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
MATHEMATICAL ANALYSIS - MOD. I
| Code | GP004146 |
|---|---|
| Location | PERUGIA |
| CFU | 6 |
| Teacher | Antonio Boccuto |
| Teachers |
|
| Hours |
|
| Learning activities | Base |
| Area | Formazione matematico-fisica |
| Academic discipline | MAT/05 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | ENGLISH |
| Contents | Elementary functions, inequalities. Greatest lower and least upper bounds. Limits and main properties. Continuity and discontinuity points. Main theorems on continuous functions. Derivatives and main theorems. Main properties of series and different types. |
| Reference texts | See the material in the web page http://dmi.unipg.it/boccuto and the didactic notes of Prof. Boccuto See also some texts from ZWIRNER, VINTI, DEMIDOVIC See also R. T. SMITH - R. B. MINTON, Calculus, Third Edition, McGraw -Hill, 2008 |
| Educational objectives | The aims of the Course is to give the basic tools for the calculus of limits, derivatives, study of functions, series and to learn different methods. |
| Prerequisites | Basic notion, trigonometry, elementary functions |
| Teaching methods | Theorical lectures with examples and exercises. Written and oral examination. |
| Other information | It is very important and fundamental to attend the lectures. |
| Learning verification modality | Written and oral examination |
| Extended program | Elementary functions, inequalities. Greatest lower and least upper bounds. Limits and main properties. Continuity and discontinuity points. Main theorems on continuous functions. Derivatives and main theorems. Main properties of series and different types. |
MATHEMATICAL ANALYSIS - MOD. II
| Code | GP004147 |
|---|---|
| Location | PERUGIA |
| CFU | 6 |
| Teacher | Antonio Boccuto |
| Teachers |
|
| Hours |
|
| Learning activities | Base |
| Area | Formazione matematico-fisica |
| Academic discipline | MAT/05 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | ENGLISH |
| Contents | Integrals, main properties and applications. Complex numbers. Taylor formula. Functions of several variables. Hessian. Eigenvalues. Ordinary differential equations of separable variables and linears. Applications to Physics. Important integrals useful for Calculus of Probabilities. Double integrals. |
| Reference texts | Integrals, main properties and applications. Complex numbers. Taylor formula. Functions of several variables. Hessian. Eigenvalues. Ordinary differential equations of separable variables and linears. Applications to Physics. Important integrals for Calculus of Probabilities. |
| Educational objectives | The aim of the course is to give different techniques and methods of calculus for integrals, differential equations and problems of maxima and minima for functions of two or three variables, with applications to problems of Physics. |
| Prerequisites | The Course of Mathematical Analysis I Modulus (that is, first part) |
| Teaching methods | Theoretical lectures with examples and exercises. Written and oral examinations. |
| Other information | It is very important and fundamental to attend the lectures. |
| Learning verification modality | Written and oral examination. |
| Extended program | Integrals, main properties and applications. Complex numbers. Taylor formula. Functions of several variables. Hessian. Eigenvalues. Ordinary differential equations of separable variables and linears. Applications to Physics. Important integrals useful for Calculus of Probabilities. Double integrals. |