SUBJECT INTRODUCTION TO MATHEMATICS FOR ECONOMICS AND BUSINESS
LECTURER Abdullah Mohammed Ahmed Al-Ansi., M.BA., Ph.D
TIME 2 hours
DAY/DATE Monday, 4 November 2019
VENUE PS.304
DEPT/PROGRAM Economics - IPIEF
TYPE/RULE Closed Book
- Please pray before and after doing your exam!
- Read carefully every single question, and provide your answers on the available sheets!
- You may use dictionary to help answer your exam!
- Any form of cheating is NOT entertained. Therefore, this exam is considered VOIDand will be calculated in your final results.
Q. Mid-Term Exam Mark
1. Given A = {1, 4, 6, 7}, B = {1, 3, 5, 8} and C = {1, 5, 7, 9}. Find the following:
a. A U B U C b. A Ո B Ո C c. A U (B Ո C) d. A Ո (B U C) e. C Ո Փ f. Do Venn diagram.
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2. 1. Find the rational roots of the following functions:
a
. ᵪ
2– 8x + 15
b.ᵪ
3– ᵪ
2–
4x +
42. Condense the following expressions:
a.
x
5* x
7 ** x
2b.
x
a* x
b6
3. 1. Given the market Model
Qd = Qs Qd = 30 – 2P Qs = 5P – 6 Find P* and Q* by elimination of variables.
2. Let the national-income model be:
Y = C + I0 + G, C = a – b (Y – T0) (a > 0 , 0 < b < 1) G = gY (0 < g < 1)
a. Identify the endogenous variables.
b. Find the equilibrium national income (Y*).
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4. Given A = and B = Find:
a. A + B, b. A – B, c. A * B d. 5 B, e. A-1
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5. Given u = and v = Find the following graphically:
a. 2v b. u – v c. u + v d. v – 2u e. 2v – u f. 2u + 3v
6 MID EXAM, ODD SEMESTER 2019/2020
ECONOMICS DEPARTMENT
INTERNATIONAL PROGRAM FOR ISLAMIC ECONOMICS AND FINANCE (IPIEF) FACULTY OF ECONOMICS AND BUSINESS
UNIVERSITAS MUHAMMADIYAH YOGYAKARTA
