Oimolala Putrawan

Assalamualaikum

Oimolala Putrawan

Nama : Oimolala Putrawan (Oi)

NPM : 1706036412

== Pertemuan Pertama ==

Hari/Tanggal : Rabu, 4 September 2019

Kenapa saya harus belajar kalkulus?

Saya belajar kalkulus untuk meningkatkan kemampuan bermatematika saya yang kelak berguna untuk memahami fenomena fisik yang terjadi. selain itu belajar kalkulus meningkatkan kemampuan berpikir dan pola pikir saya.

emas.ui.ac.id

Apa itu Python?

Python merupakan salah satu general purpose high-programing language, yang berarti memiliki sintaks yang mudah dimengerti oleh manusia. Diciptakan pertama kali oleh Guido von Rossum pada 1991. Python dengan bantuan beberapa libraries memiliki banyak kegunaan seperti web developing, scientific computing, sebagai scripting language pada software finite element method, dan yang paling menarik penggunaan python sebagai bahasa yang paling digunakan untuk artificial intelligence terutama pada machine learning.

Minggu 3

While Loop Fibonacci

a, b = 0, 1
while a< 100:
   print (a)
   a, b = b, a+b

For Loop Fibonacci

a, b = 0, 1
for i in range(0,100):
   print(a)
   a, b= b, a+b
   

Function Fibonacci

def fib(n): 
   a = 0
   b = 1
   if n < 0: 
       print("Incorrect input") 
   elif n == 0: 
       return a 
   elif n == 1: 
       return b 
   else: 
       for i in range(2,n): 
           c = a + b 
           a = b 
           b = c 
       return b 

Submission Tugas

TUGAS 1

File:Tugas 1

TUGAS 2

Fibonacci with Python

File:Tugas 2 Function Approach

File:Tugas 2 Loop (while) Approach

File:Tugas 2 Loop (for) Approach

UTS [23 Oktober]

UTS

#cara 1
  3A

  mass1 = eval(input("Massa Benda 1 ? ")) #menginput m1
  mass2 = eval(input("Massa Benda 2 ? "))#menginput m2
  mass3 = eval(input("Massa Benda 3 ? ")) #meninput m3
  mass4 = eval(input("Massa Benda 4 ? "))
  g = eval(input("Gravitasi ? "))         #input g
  sinus@ = ((mass1+mass2+mass3)/mass4)#hitung sin theta
  T1 = mass1*sinus@*g #hitung T1
  T2 = mass2*sinus@*g + T1 #hitung T2
  T3 = mass3*sinus@*g + T2 #hitung T3
  print("T1", T1)
  print("T2",T2)
  print("T3", T3)
  print("Sin theta = ", sinus@,"")

#cara 2

  #Cara 2
m1 = eval(input("Massa Benda 1 ? "))
m2 = eval(input("Massa Benda 2 ? "))
m3 = eval(input("Massa Benda 3 ? "))
m4 = eval(input("Massa Benda 4 ? "))
g = eval(input("Gravitasi ? "))         
sinusa = ((m1+m2+m3)/m4)
Matrx=[[1,0,0,m1*sinusa*g],[1,1,0,(2*m1+m2)*sinusa*g],[2,1,1,((2*(2*m1+m2))+m3)*sinusa*g]]      #Matrix yg mau di gauss
def PrintMatrix(Matrix): #untuk print
   for i in range(len(Matrix)):
       for j in range(len(Matrix[i])):
           print(Matrix[i][j],end="\t")
       print()
def MultiplyRow(Row,Scalar): #untuk kali
   for i in range(len(Row)):
       Row[i]=Row[i]*Scalar
def AddRow(Matrix,RowNR1,RowNR2,multi=1): #untuk tambah
   for i in range(len(Matrix[RowNR2])):
       Matrix[RowNR2][i]+=Matrix[RowNR1][i]*multi
def SwitchRow(Matrix,RowNR1,RowNR2): #untuk tukar
   bufrow=Matrix[RowNR1]
   Matrix[RowNR1]=Matrix[RowNR2]
   Matrix[RowNR2]=bufrow
   return 0
def ZeroRowsBelow(Matrix,RowNR,CollumnNR): #untuk menghindari eror 0
   for i in range(len(Matrix)-RowNR-1):
       if not(Matrix[RowNR][CollumnNR]==0):
           AddRow(Matrix,RowNR,i+1+RowNR,-float(Matrix[i+1+RowNR][CollumnNR])/Matrix[RowNR][CollumnNR])
           #print(i)
def SolveMatrix(Matrix):     #untuk mensolve
   #Bring To Row-Echelon Form
   for i in range(len(Matrex)):
       ZeroRowsBelow(Matrex,i,i)
  #Make Row-Echelon 1
   for i in range(len(Matrex)):
      if not(Matrex[i][i]==0):
           MultiplyRow(Matrex[i],1./Matrex[i][i])
   #diulang lagi
   for i in range(len(Matrex)):
       for j in range(i):
           if not(Matrex[i][i]==0):
               AddRow(Matrex,i,j,-float(Matrex[j][i])/Matrex[i][i])
def IsRRowEchelon(Matrix): #cek selsai
   for i in range(len(Matrix)):
       pos=[1,0]
       if not(Matrix[i][i] in pos):
           return 0
   return 1
def CheckForEqualRows(Matrix):#cek nilai
   newlist=[]
   for i in Matrix:
       if i not in newlist:
           newlist.append(i)
   return newlist   
MatrixNew=[]
for j in range(len(Matrex)):
   RowNew=[]
   for i in range(len(Matrex[j])):
       RowNew.append(Matrex[j][i])
   MatrixNew.append(RowNew)
Matrex=MatrixNew
PrintMatrix(Matrex)
print()
while True:
   SolveMatrix(Matrex)
   Matrex=CheckForEqualRows(Matrex)
   if IsRRowEchelon(Matrex):
       break
PrintMatrix(Matrex)#print matrix
print("")
print("Solusinya")
print("T1 = ",Matrex[0][3])
print("T2 = ",Matrex[1][3])
print("T3 = ",Matrex[2][3])
print("Sin Theta = ",Matrex[0][3]/(m1*g))

3B

cd=eval(input("drag coefficient: ")) #input coef drag
Vawal=0 #kondisi diam
m=eval(input("mass (kg): ")) #massa
a=eval(input("acceleration (m/s^2): ")) #perc
Vakhir=eval(input("top speed (m/s): ")) #vtop
fdrag=(cd*Vakhir**(3/2))/m #gayagesek
Ftotal=a-fdrag
Atotal = Ftotal #dibagi m
t=(Vakhir-Vawal)/Atotal #hitung waktu
print("Waktu untuk mencapai Vakhir: ",t, "detik")

Video Muhasabah

Tugas 30 Oktober 2019
def derivative_velocity(acc, vfinal): #Function 
  return (9.8*sina-(1/2)*(1/m)*(cd)**(3/2)-miu*9.8) 

cd=eval(input("drag coefficient: ")) #input coef drag miu = eval(input("friction coef: ")) Vinitial=0 #stationary condition sina = 0.5 m=eval(input("mass (kg): ")) #mass accceleration=eval(input("acceleration (m/s^2): "))

#perc 

Vakhir=eval(input("top speed (m/s): "))

1. vtop

xawal = 0 #boundary condition x awal soal yinit = 0 #boundary condition y awal soal x = Vfinal #the asked x h = 1 #delta used number = (int)((x - xawal)/h) calculate the increment for i in range(1, angka + 1):

 k1 = h * Derivative_velocity(xawal, yinit) #runge kutta formula 
 k2 = h * Derivative_velocity(xawal + 0.5 * h, yinit + 0.5 * k1) 
 k3 = h * Derivative_velocity(xawal + 0.5 * h, yinit + 0.5 * k2) 
 k4 = h * Derivative_velocity(xawal + h, yinit + k3) 
 yinit = yinit + (1 / 6.0)*(k1 + 2 * k2 + 2 * k3 + k4) sum value of k1,k2,k3,k4 to the nwe y' and divide it 
 xawal = xawal + h 
 #sum xawal increase delta h 

print("time needed", yinit,"second")