GEOMETRY REVIEW_DETERMINANTS_DERIVATIVES_INTEGRALS

1. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
FUNDAMENTALS OF MATHEMATICS I_iCourse

2. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

3. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
PREVIOUSLY ON MATHS 1...

4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
REVIEW
MATRICES AS A TOOL
INTEGRALS. Test 0 exercise
DERIVATES. Test 0 exercise

5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE

6. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
THALES THEOREM (the second one)
TRIANGLES INSCRIBED IN A CIRCUMFERENCE

7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
SURFACE OF THE PYRAMID?

8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
VOLUME OF THE PYRAMID?

9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Value of v and w?

10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Volume and Surface of the piece of cone ABCD?

11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS THIS?

12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS THIS? A DETERMINANT is a “special number” that can be calculated from a matrix
The matrix must be SQUARE (same number of rows and columns)
It is useful to find the INVERSE OF A MATRIX
which let us solve systems of linear equations

13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HOW TO CALCULATE THE VALUE OF A DETERMINANT?

14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WRITE THESE SYSTEMS OF EQUATIONS IN MATRICIAL NOTATION
and FIND THE VALUE OF THE COEFFICIENTS MATRIX DETERMINANT
3x - y = 12
6x + 3y = 24
3x - y = 7
-6x + 2y = -14
3x - y = 5
-6x + 2y = 20

15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
A LINEAR EQUATION IS A LINE
3x - y = 12
6x + 3y = 24
y =-3x +12
y = -2x +8
Every linear equation can be written in slope-intercept form

16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
A LINEAR EQUATION IS A LINE
y = 3x - 7
y = 3x -7
3x - y = 7
-6x + 2y = -14
Every linear equation can be written in slope-intercept form

17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
A LINEAR EQUATION IS A LINE
y = 3x - 5
y = 3x +10
3x - y = 5
-6x + 2y = 20
Every linear equation can be written in slope-intercept form

18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HOW TO CALCULATE THE VALUE OF A DETERMINANT?

19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
HOW TO CALCULATE THE VALUE OF A DETERMINANT?

20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WRITE THESE SYSTEMS OF EQUATIONS IN MATRICIAL NOTATION
and FIND THE VALUE OF THE COEFFICIENTS MATRIX DETERMINANT
3x - y = 12
6x + 3y = 24
7y +2x = 0
3x - y + 3z = 7
-6x + 2y = -14
3x - y + 3 = 12
-6x + 2y = 24
7y -8z = 0

21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
NOT ALL THE EQUATION SYSTEMS HAVE A SOLUTION!!!!!!!!!!!!!!!!!
WHY?

22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
A LINEAR EQUATION IS A LINE
Every linear equation can be written in slope-intercept form
3x - y = 12
6x + 3y = 24
7y +2x = 0
y = 3x - 12
y = -2x + 8
y = (-2/7)x + 0

23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS A DERIVATIVE?
or... THE SLOPE OF THE TANGENT TO THE FUNCTION AT ANY POINT!!!
IT IS THE RATE OF CHANGE OF A FUNCTION WITH RESPECT TO A VARIABLE

24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS A DERIVATIVE?
or... THE SLOPE OF THE TANGENT TO THE FUNCTION AT ANY POINT!!!
IT IS THE RATE OF CHANGE OF A FUNCTION WITH RESPECT TO A VARIABLE
WHAT HAPPENS WITH THE DERIVATIVE IF THE ORIGINAL FUNCTION IS A LINE?

25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS A DERIVATIVE?

26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
COMPUTE THE DERIVATIVE OF...

27. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS AN INTEGRAL?

28. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
WHAT IS AN INTEGRAL?

29. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
COMPUTE THE DEFINITE INTEGRAL OF...

30. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
Today’s words?
https://www.menti.com/8cwme7e7ux
https://www.mentimeter.com/app

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

32. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I INTRODUCTORY COURSE
FUNDAMENTALS OF MATHEMATICS I
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