Chiara ESPOSITO | GEOMETRY I
Chiara ESPOSITO GEOMETRY I
cod. 0512300039
GEOMETRY I
| 0512300039 | |
| DIPARTIMENTO DI MATEMATICA | |
| EQF6 | |
| MATHEMATICS | |
| 2020/2021 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/03 | 8 | 64 | LESSONS |
| Objectives | |
|---|---|
| THE AIM OF THIS COURSE IS TO INTRODUCE THE STUDENTS TO THE THEORY OF VECTOR SPACES AND LINEAR APPLICATIONS EXPECTED LEARNING RESULTS KNOWLEDGE AND UNDERSTANDING: THE COURSE AIMS TO PROVIDE THE FUNDAMENTAL TOOLS OF LINEAR ALGEBRA WHICH, BESIDES THEIR GENERAL USEFULNESS, ARE ESSENTIAL FOR THE STUDY OF AFFINE GEOMETRY. APPLYING KNOWLEDGE AND UNDERSTANDING: THE COURSE FURTHER AIMS TO ENABLE STUDENTS TO USE THE RELATED CALCULATION TOOLS. IN PARTICULAR, THE STUDENT WILL KNOW HOW TO OPERATE WITH MATRICES, SOLVING SYSTEMS OF LINEAR EQUATIONS AND DEALING WITH ISSUES RELATED TO VECTOR SPACES AND LINEAR APPLICATIONS. |
| Prerequisites | |
|---|---|
| IT IS REQUIRED A KNOWLEDGE OF THE BASIC TOPICS IN MATHEMATICS, COVERED IN HIGH SCHOOL. |
| Contents | |
|---|---|
| 1. VECTOR SPACES 2. MATRICES, DETERMINANTS AND SYSTEMS OF LINEAR EQUATIONS 3. LINEAR MAPS 4. LINEAR AND BILINEAR FORMS 5. QUOTIENT SPACES |
| Teaching Methods | |
|---|---|
| THE COURSE CONSISTS IN 64 FRONT TEACHING HOURS, DIVIDED INTO 50 HOURS OF THEORETICAL LECTURES AND 14 HOURS OF EXERCISES. DURING THE LECTURES WE WILL DISCUSS THEORETIC TOPICS, TOGETHER WITH CONCRETE PROBLEMS TO BE SOLVED BY THE STUDENTS UNDER THE INSTRUCTOR GUIDANCE, DURING THE EXERCISE SESSIONS |
| Verification of learning | |
|---|---|
| THE EXAM IS AIMED TO EVALUATE KNOWLEDGE AND UNDERSTANDING OF THE CONCEPTS PRESENTED IN CLASS AND THE ABILITY TO APPLY SUCH KNOWLEDGE TO THE SOLUTION OF SIMPLE PROBLEMS. THE EXAMINATION IS DIVIDED INTO A SELECTIVE WRITTEN EXAM AND AN ORAL EXAM. THE WRITTEN EXAM CONSISTS OF SOME EXERCISES. THE ORAL EXAM EVALUATES THE ACQUIRED KNOWLEDGE OF LINEAR ALGEBRA, VECTOR SPACES AND LINEAR APPLICATIONS. THE FINAL EVALUATION IS EXPRESSED BY A VOTE FROM 0 TO 30. THE WRITTEN EXAM IF PASSED GIVES ACCESS TO THE ORAL EXAM WHICH DETERMINES THE FINAL VOTE IN FULL. |
| Texts | |
|---|---|
| LECTURE NOTES F. BOTTACIN, ALGEBRA LINEARE E GEOMETRIA M. MANETTI, ALGEBRA LINEARE PER MATEMATICI R. ESPOSITO, A. RUSSO, LEZIONI DI GEOMETRIA, PARTE PRIMA, LIGUORI. E. SERNESI, GEOMETRIA 1, BOLLATI BORINGHIERI. S. LIPSCHUTZ, ALGEBRA LINEARE MCGRAW-HILL. |
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