Số hiệu: BM2/QT-PĐT-RĐTV/02 Lần soát xét: 02 Ngày hiệu lực: 15/5/2020 Trang: 1/3
UNIVERSITY OF TECHNOLOGY AND EDUCATION
FALCUTY OF MECHANICAL ENGINEERING
DEPT. MECHATRONICS
MIDTERM EXAM – SEMESTER 1:
ACADEMIC YEAR 2025-2026
Course: Applied Mathematics - Mechanics
Course code: AMME231529
Exam No./Code: 01 Exam has 03 pages.
Duration: 70 minutes Exam date 30/9/2025
Students are allowed to use reference materials.
Signature of Invigilator
1
Signature of Invigilator 2
First examiner Second examiner
No. of correct answer:
No. of correct answer:
Score/signature Score/signature Name: .....................................................................
Student ID: ............................................................
No: ............................. Exam Room: .......................
ANSWER SHEET
Guidance:
Select a correct answer: X Neglect: O re-select:
Student MUST give an answer to below answer sheet.
Answer sheet:
Part 1 Laplace (6 points – 0.6 point/correct answer)
No. a b c d No. a b c d
1
6
2
7
3
8
4
9
5
10
Part 2: Computational Method (4 points – 0.4 point/correct answer)
No. a b c d No. a b c d
1
1
16
1
2
17
13
18
14
19
15
20
QUESTION
Part 1 Laplace (6 points – 0.6 point/correct answer)
Question 1 : Determine F(s) where
( ) sin( )
f t t t H t
2
a.
e e
( )
s s
F s ss
2
22
2 4
4
4
b.
e e
( )
s s
s
F s ss
2
22
2 4
4
4
c.
e e
( )
s s
s
F s ss
2
22
2 4
4
4
d.
e e
( )
s s
s
F s ss
2
22
2 4
4
4
Question 2 : Compute F(s) where
( ) , ( ) , ( )
f t y y y y
4 0 1 0 1
a.
( )F s s s Y s s
2
4 3
b.
s s Y s s
2
4 3
c.
s s Y s s
2
4 3
d.
s s Y s s
2
4 3
