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Bachelor in Economics (S.E): Manajemen

Course : Matematika Ekonomi (1506ME02)

online.uwin.ac.id

Session Topic : Introduction

Course: Matematika Ekonomi

By Handri Santoso, Ph.D

UWIN eLearning Program

Lecturer Profile

Handri Santoso, S.Si. M.Eng Dr.Eng

Head of Informatics Department

Surya University

Teaching Experience : Surya Univ. : Calculus, Basic Programming, Statistic & Probabilistic, Human Information Processing,

Computer Graphics

Yokogawa Indonesia Co.:Basic Control Engineering for technical training employees & costumers STKIP Surya: Introduction to Informatics, Basic Programming Univ. of Indonesia: Computer Science, Calculus State Polytechnic Jakarta: Embedded Systems

Education : S1 University of Indonesia Physics / Instrumentation

S2 Nagaoka Univ. of Technology, Japan Mechanical Systems Engineering / Information Science

and Control Engineering

gS3 Nagaoka Univ. of Technology, Japan Information Science and Control Engineering

Contact Detail

Handri Santoso

Email: [email protected]

Availability Hours

Wednesday : 21:00 21.30

By prior arrangement via e-mail

Course website

http://online.uwin.ac.id

Powered by HarukaEdu.com - 1506ME02- Hal 6

Content

Part 1 Penyampaian SAP dan Rencana Perkuliahan Part 2 Konsep Sistem Bilangan Part 3 Pengertian Model Matematika

Part1: Rencana Perkuliahan


Course Structure

Lectures: 14 Weeks

Timetable: Lectures: Wednesday: 21:00 21:30;

Room Computer Center Room

Assessment: Midterm Test, 30 % of the mark (UTS)

Assignments in the class , 20 % of the mark

Final Test, 50% of the mark (UAS)


Bahan-bahan perkuliahan

Material perkuliahan dapat diunduh dari blog

www.harukaedu.com

Persiapkan diri sebelum kelas


Why do we need to mathematics ?

What programming does for you ?

It teaches you how modelling the natural phenomenon

in our small world, such as earthquake, optimization, ,

help you to solve the repeating problems, Even the ebb

and flow of such human activities as population

dynamics and economics are better viewed from

programming task. Including to identification yourself in

image processing,

Principal objective of programming is to help you from repeating the same tasks (jobs),

minimizing errors and speed up your jobs. Or

others boring jobs


Study Tips

Tip 1: Do the homework exercises.

The homeworks are for your benefit, not the lecturer's. The exercises will train your mind and

sharpen your intuition. So do the work. It will pay

off in the end.


Study Tips - Continue

Tip 2: Mathematics are meant to be practiced. You cannot just read it and expect to get any benefit out of

it at all. When you encounter a new concept in a mathematics, do not expect to understand it on the first reading, no matter how carefully you read it. You should

go trying to solve the problems.


Study Tips Continue

Tip 3: Your greatest assets are in the class with you. Your classmates are in the same boat as you. Organize a study group.

Tip 4: In your group activity, take turns. Have one person get up and do a problem on the board,

explaining what he or she is doing as the problem unfolds. If the person at the board gets stuck, the others in the group should try to provide hints or ask the person at the board telling questions. If the person at the board is doing fine, the others in the group should challenge him or her. Make the problem-doer justify each step orally. If anybody in the group does not understand a step, the person at the board ought to be able to explain it to his or her satisfaction.


SAP & Rencana Perkuliahan

Pembagian Kelompok

Check your email address



Topik Perkuliahan

1. Pendahuluan

2. Jenis-Jenis Fungsi Linier

3. Applikasi Fungsi Linier dalam Ekonomi bag 1

4. Applikasi Fungsi Linier dalam Ekonomi bag 2

5. Fungsi Kuadrat

6. Applikasi Fungsi Kuadrat dalam Ekonomi bag 1

7. UTS



Topik Perkuliahan

8. Applikasi Fungsi Kuadrat dalam Ekonomi bag 2

9. Karakteristik & Operasi Operasi Matriks

10.Menentukan Kofaktor, determinan & Balikan matriks

11.Penggunaan Matrik untuk mendapatkan solusi

persamaan linier & Applikasi matriks dalam masalah

bisnis

12.Pengertian & Jenis Deret serta Applikasi Deret dalam

Ekonomi (Matematika Keuangan)

13. Applikasi Matriks & Deret dalam Ekonomi

14. UAS

Part2: Sistem Bilangan


Pembagian Jenis Bilangan


Bilangan Asli, contoh: 1, 2, 3, 4, 5, 6...

Bilangan Bulat, contoh: -6,-5,-4,-3,-2,-1,0,1, 2, 3, 4, 5, 6...

Bilangan Rasional, contoh: ...,-3, -2, -3/2, -1, 0 , 1, 4/3, 2, 7/3, 3,...

Bilangan Irrasional, contoh:

Bilangan Riil, contoh:

Garis Bilangan Riil

..., 5, 2, 2, 3, 7,...

..., 5, 3/ 2, 2, 1,0,4 / 5, 2, 3,5 / 2,...

0 1 2 3 4 5 -5 -4 -3 -2 -1

3-5/2

Sistim Bilangan Riil

Edwin S.N. Kalkulus I September 2013 3/27


Rasional

Bulat

Asli

Riil

Irrasional

Edwin S.N. Kalkulus I September 2013 4/27

Sistim Bilangan Riil


Hubungan perbandingan antar bilangan

Tanda < melambangkan lebih kecil dari

Tanda > melambangkan lebih besar dari

Tanda < melambangkan lebih kecil dari atau sama dengan

Tanda > melambangkan lebih besar dari atau sama dengan

Tanda Ketidaksamaan

1. Jika a < b, maka a > -b

2. Jika a < b dan x > 0, maka x.a < x.b

3. Jika a < b dan x < 0, maka x.a > x.b

4. Jika a < b dan c < d, maka a+c < b+d

Sifat Perbandingan


Operasi Bilangan 1. Kaidah Komutatif

a + b = b + a

a x b = b x a

2. Kaidah Asosiatif

(a + b) + c = a + (b + c)

(a x b) x c = a x (b x c)


4. Kaidah Distributif

a (b + c) = ab + ac

5. Unsur Identitas

a + 0 = a -- Penjumlahan

a x 1 = a -- Perkalian

6. Kebalikan

Invers a = -a -- Penjumlahan

Invers a = 1/a --- Perkalian


Operasi Tanda

Operasi Penjumlahan

a. (+ a) + (+b) = (+c)

b. (- a) + (- b) = (- c)

c. (+ a) + (- b) = (+ c) jika |a| > |b|

(+ a) + (- b) = (- d) jika |a| < |b|

d. (- a) + (+ b) = (+ c) jika |a| < |b|

(- a) + (+ b) = (- d) jika |a| > |b|


Operasi Tanda

Operasi Pengurangan

a. (+ a) - (+ b) = (+ c) jika |a| > |b|

(+ a) - (+ b) = (- d) jika |a| < |b|

b. (- a) - (- b) = (+ c) jika |a| < |b|

(- a) - (- b) = (- d) jika |a| > |b|

c. (+ a) - (- b) = (+ c)

d. (- a) - (+ b) = (- c)


Operasi Tanda

Operasi Perkalian

(+ a) x (+ b) = (+ c) (- a) x (- b) = (+ c)

(+ a) x (- b) = (- c) (- a) x (+ b) = (- c)

Operasi Pembagian

(+ a) : (+ b) = (+ c) (- a) : (- b) = (+ c)

(+ a) : (- b) = (- c) (- a) : (+ b) = (- c)


Operasi Bilangan Pecahan

Operasi Pemadanan

Operasi Penjumlahan dan Pengurangan

Operasi Perkalian

Operasi Pembagian


Operasi Pemadanan

:

:

x

x

cb

ca

b

a

cb

ca

b

a

Operasi Penjumlahan dan Pengurangan

Dua buah pecahan atau lebih, hanya dapat ditambahkan atau

dikurangkan apabila mereka memiliki suku pembagi yang sama

atau sejenis. Jika suku pembaginya belum sama, maka terlebih

dahulu harus disamakan sebelum pecahan-pecahan tersebut

ditambahkan dan dikurangkan.


Operasi Perkalian

Operasi Pembagian

xy

ab

y

b

x

a

xb

ay

b

y

x

a

y

b

x

a:


Latihan

7

2:

4

3)(

6

1

7

2

4

3)(

6

1

7

2

4

3)(

6

1

7

2

4

3)(

:

d

c

b

a

Selesaikan


Pecahkan masalah berikut

?,5)(

?,243

)(

?,155)(

?438

2)(

:

2

3

xxd

yy

c

xxb

xa

Selesaikan


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Course : Matematika Ekonomi (1506ME02)

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