GEOMETRY. TRIANGLES

1. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
FUNDAMENTALS OF MATHEMATICS I

2. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
FUNDAMENTALS OF MATHEMATICS I

3. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
CONTENT
LEARNING PROCCESS
HOW TO PASS
WHERE AM I?

4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
FUNDAMENTALS OF MATHEMATICS IN ARCHITECTURE

5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
Why do you think Maths are important for Architects?
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6. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
Height 146 m Side length 230 m ¿Surface?

7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
Height 146 m Side length 230 m ¿Surface?

8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
BUTRESS
PINNACLE

22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

27. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

28. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

29. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

30. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

31. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

32. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

33. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

34. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

35. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

36. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

37. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

38. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

39. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

40. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

41. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

42. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

43. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
CONTENT
LEARNING PROCCESS
HOW TO PASS
WHERE AM I?

44. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
CONTENT
50%
GEOMETRY
25%
MATRICES
25%
THEORY
INTRODUCTORY
COURSE
5 DAYS
10 DAYS 6 DAYS 4 DAYS

45. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION

46. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
CONTENT
LEARNING PROCCESS
HOW TO PASS
WHERE AM I?

47. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
LEARNING PROCCESS
LEARNING by DOING
INDUCTION: EXERCISES (buildings) and then, in the end, THEORY
WORK IN CLASS EVERY DAY
REVIEW THE EXERCISES AT HOME EVERY DAY
ASK EVERY QUESTION YOU HAVE
ARRIVE ON TIME

48. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
CONTENT
LEARNING PROCCESS
HOW TO PASS
WHERE AM I?

49. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
HOW TO PASS WORKING in CLASS (and at home) EVERYDAY

50. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
HOW TO PASS
CW = Class work FE = Final Exam RETAKE
CW1 = Class work PART 1
CW2 = Class work PART 2
CW3 = Class work PART 3
FE1 = Final Exam PART 1
FE2 = Final Exam PART 2
FE3 = Final Exam PART 3
PASS = FINAL GRADE = 0,5 x Max (CW1,FE1) + 0,25 x Max (CW2,FE2) + 0,25 x Max (CW3,FE3) > 5,0
PASS RETAKE = 0,5 x Retake part 1 + 0,25 x Retake part 2 + 0,25 x Retake part 3
Retake part 1
Retake part 2
Retake part 3
WORKING in CLASS (and at home) EVERYDAY

51. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
HOW TO PASS
EXTRA BONUS FOR ARRIVING ON TIME
FIRST MINUTE QUESTIONS
If you are in and you answer correctly
10 POINTS
If you are in and you answer wrong
5 POINTS
If you are not in
0 POINTS

52. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
HOW TO PASS
CW = Class work FE = Final Exam RETAKE
CW1 = Class work PART 1
CW2 = Class work PART 2
CW3 = Class work PART 3
FE1 = Final Exam PART 1
FE2 = Final Exam PART 2
FE3 = Final Exam PART 3
PASS = FINAL GRADE = 0,5 x Max (CW1,FE1) + 0,25 x Max (CW2,FE2) + 0,25 x Max (CW3,FE3) > 5,0
PASS RETAKE = 0,5 x Retake part 1 + 0,25 x Retake part 2 + 0,25 x Retake part 3
Retake part 1
Retake part 2
Retake part 3
WORKING in CLASS (and at home) EVERYDAY
The worst of each might be substituted by the
First Minute Questions average grade

53. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
GOALS AND APPROACH
CONTENT
LEARNING PROCCESS
HOW TO PASS
WHERE AM I?

54. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
WHERE AM I?

55. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
WHERE AM I?

56. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
SOLUTIONS

57. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTION
Today’s words?
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