Summary
Summary MATLAB (MTHS121) - PART 1
- Course
- MTHS121 (MATLAB)
- Institution
- North-West University (NWU)
This is part 1 of a 4 part series. These notes are on basic mathematic calculations using MATLAB.
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Matlab Notes®By Duncan Weakley
Part 1 of 4
Page |1
COPYRIGHT RESERVED | Matlab Notes Part 1/4
, Section A ................................................................................................................................................. 3
1. Determining the distance between 2 points ............................................................................................. 4
2. Determining a vector from 1 point to another .......................................................................................... 4
3. Determining the relationship between vectors 3 vectors from the origin ................................................ 4
4. Determine d = 7a - 6b + c. ......................................................................................................................... 4
5. Determining the dot product between 2 vectors ...................................................................................... 4
6. Determining the lengths of 2 vectors ........................................................................................................ 4
7. Determining a unit vector Ua in the direction of a .................................................................................... 4
8. Determining a unit vector Ub in the direction of b ................................................................................... 4
9. Determining the angle between 2 vectors in radians ............................................................................... 4
10. Determining the component of a parallel to b ......................................................................................... 4
11. Determine the projection of a parallel to b .............................................................................................. 4
12. Determine the vector v with length 5.13 in the direction of vector a ....................................................... 5
13. Determining the direction angles of a in radians ...................................................................................... 5
14. Determining the cross product w = a x b ................................................................................................... 5
15. Determining the area of the parallelogram formed by two vectors ......................................................... 5
16. Determining the area of the triangle with vertices the origin and two vectors ........................................ 5
17. Determine the component of a perpendicular on b ................................................................................. 5
18. Determining the projection of a perpendicular on b ................................................................................. 5
19. Determining the scalar triple product a . b x w ......................................................................................... 5
20. Determine the volume of the parallelepiped formed by 3 vectors ........................................................... 5
21. Determining the vector triple product q = a x (b x c) ................................................................................ 6
22. Determine |a x (b x c)| .............................................................................................................................. 6
23. Determining |(a x b) x c| ........................................................................................................................... 6
24. Determining |a x b x c| .............................................................................................................................. 6
Section B ................................................................................................................................................. 7
Part 1 .................................................................................................................................................................. 7
1. Use a sketch to estimate two zeros for f(x) on the interval [-2,2]. Use these values to determine the zeros. .......... 7
2. Determining the area under f(x) over the interval [-1,3] with midpoint Riemann sums for n = 45 .......................... 7
3. Determining the integral of f(x) over the interval [-1,3] with midpoint Riemann sums for n = 45 ........................... 8
4. Determining the integral of f(x) over the interval [-1,3] ........................................................................................... 8
Part 2 .................................................................................................................................................................. 8
1. Determining g(3) en g(5) ........................................................................................................................................... 8
2. Using g(3) and g(5) to determine the integral between [3,5] ................................................................................... 8
3. Using f(x) to determine g'(5). .................................................................................................................................... 8
4. Determine h'(2.5)...................................................................................................................................................... 8
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COPYRIGHT RESERVED | Matlab Notes Part 1/4
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