Assessment Introduction Scientific Computing Introduction

Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Background on Scientific Computing

Q1. Solving an engineering problem requires four steps. In order of sequence, the four steps are

formulate, solve, interpret, implement

solve, formulate, interpret, implement

formulate, solve, implement, interpret

formulate, implement, solve, interpret

Q2. One of the roots of the equation x³-3x²+x-3=0 is

-1

1
√3
3

Q3. The solution to the set of equations

25a+b+c=25

64a+8b+c=71

144a+12b+c=155

most nearly is (a,b,c) =

(1,1,1)
(1,-1,1)

(1,1,-1)
does not have a unique solution

Q4. The exact integral of

is most nearly

-1.000

1.000

0.000

2.000

Q5. The value of dy/dx(1.0), given y=2sin(3x) most nearly is

-5.9399
-1.980

0.31402
5.99178

Q6. The form of the exact solution of the ordinary differential equation

Ae^-1.5x+Be^x
Ae^-1.5x+Be^-x
Ae^1.5x+Be^-x
Ae^-1.5x+Bxe^-x