This document contains a tutorial assessment for an engineering mathematics course taken by electrical, civil, and mechanical engineering students in December 2011. It consists of 7 questions assessing students' abilities to perform algebraic operations on complex numbers, including addition, subtraction, multiplication, finding modulus and argument, and expressing complex numbers in various forms like polar, trigonometric, and exponential. Students are instructed to answer all questions. The first 4 questions involve adding, subtracting, and plotting complex numbers on an Argand diagram. Questions 5-7 require calculating modulus and argument, expressing in different forms using a calculator, and performing algebraic operations involving complex numbers and trigonometric functions.

1. POLITEKNIK KOTA BHARU
JABATAN MATEMATIK, SAINS & KOMPUTER
Assesment : TUTORIAL 1
Sesion : DISEMBER 2011
Programme : ELECTRICAL ENGINEERING
CIVIL ENGGINEERING
MECHANICAL ENGINEERING
Date :
B2001 – ENGINEERING MATHEMATICS
Instruction:
1. Answer all question
1. Solve the problem of z+w dan z-w (6 marks)
a. z=3+3i ; w=2-2i
2. Solve the problem above
a. (3+4i)(4-2i) (5 marks)
3. Find the value of a and b for this equation (5+2i)(a+ib)=1-2i
(5 marks)
4. Solve the problem of z1 + z2 and z1 - z2 on the Argand Diagram (10 marks)
z1 = 2+3i
z2 = 3-4i
5. Calculate the modulus and argument of (4+3i)(2-i) (7 marks)
6. Using calculator, express each of complex number in polar , trigonometry and exponential form
(6 marks)
a. 4-5i
b. 3+4i
0
7. (5 < 45 ) * 4(cos 60 + isin 60)
(7 marks)