150626_UWIN-ME01-s23

Bachelor in Economics (S.E): Manajemen

Course : Matematika Ekonomi (1506ME01)

online.uwin.ac.id

Session Topic : Introduction

Course: Matematika Ekonomi

By Handri Santoso, Ph.D

UWIN eLearning Program

Lecturer Profile

Handri Santoso, Ph.D

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 :S3 Nagaoka Univ. of Technology, Japan Information Science and Control Engineering

S2 Nagaoka Univ. of Technology, Japan Mechanical Systems Engineering

S1 University of Indonesia Physics / Instrumentation

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Content

Part 1 Rencana Perkuliahan

Part 2 Sistem Bilangan

Part 3 Operasi Bilangan Pecahan

Part1: Rencana Perkuliahan


Pengantar

Although I

dropped out &

got lucky, getting

a degree is a

much surer path

to success:

http://b-gat.es/1Q73iy2


Contact Details

Handri Santoso

Email: [email protected]

Availability Hours

Wednesday: 21.00pm 21.30pm WIB By prior arrangement via e-mail

Course website

http://online.uwin.ac.id


Perkuliahan: Course Structure & Bahan2

a. Lectures: 14 Weeks

b. Timetable: Lectures: (Live Chat session)

Wednesday: 21.00pm 21.30pm WIB

c. Assessment:

Midterm Test, 30 % of the total mark (UTS) Assignments in the class, 20 % of the total mark Final Test, 50% of the total mark (UAS)

Bahan2 Perkuliahan

Material perkuliahan dapat diunduh dari blog online.uwin.ac.id Persiapkan diri sebelum kelas


Perkuliahan: Study Tips

Tips,

a. 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.

b. 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.


Perkuliahan: Study Tips (lanjut)

c. 3: Your greatest assets are in the class with you.

Your classmates are in the same boat as you. Organize a study group.

d. 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,

a. gets stuck, the others in the group should try to provide hints or ask

the person at the board telling questions.

b. 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.


Perkuliahan: Kelompok & Topik

Pembagian Kelompok

Check your email address

Topik Perkuliahan

1. Pendahuluan

2. Jenis-Jenis Fungsi Linier

Aplikasi Fungsi Linier dalam

Ekonomi,

3. bag 1

4. bag 2

5. Fungsi Kuadrat

6. Aplikasi Fungsi Kuadrat

dalam Ekonomi bag 1

7. UTS

8. Aplikasi Fungsi Kuadrat dalam Ekonomi

bag 2

9. Karakteristik & Operasi Operasi

Matriks

10. Menentukan Kofaktor, Determinan &

Balikan matriks

11. Penggunaan Matrik,

utk mendapatkan solusi persamaanlinier &

Aplikasi matriks dalam masalah bisnis8. Pengertian & Jenis Deret serta Aplikasi

Deret dalam Ekonomi (Matematika

Keuangan)

9. Aplikasi Matriks & Deret dalam Ekonomi

10. UAS

Part2: Sistem Bilangan


Bilangan: Pembagian Jenis Bilangan


No Bilangan Contoh

1 Asli 1, 2, 3, 4, 5, 6...

2 Bulat ...-6,-5,-4,-3,-2,-1,0,1, 2, 3, 4, 5, 6...

3 Rasional ...,-3, -2, -3/2, -1, 0 , 1, 4/3, 2, 7/3, 3,...

4 Irrasional

5 Riil

6 Garis Bilangan Riil

Bilangan: Sistem Bilangan Riil

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

3-5/2

,...2

5,3,2,

5

4,-1,0,2,-

2

3,-5...,-

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


Bilangan: Bilangan Riil (lanjut)

Rasional

BulatAsli

Riil

Irrasional


Bilangan: Hubungan Perbandingan Antar Bilangan

Tanda Ketidaksamaan

Tanda,

1. < melambangkan lebih kecil dari

2. > melambangkan lebih besar dari

3. < melambangkan lebih kecil dari atau sama dgn

4. > melambangkan lebih besar dari atau sama dgn

Sifat Perbandingan

Jika,

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

2. a < b & x > 0, maka x.a < x.b

3. a < b & x < 0, maka x.a > x.b

4. a < b & c < d, maka a+c < b+d


Bilangan: Operasi Bilangan

Kaidah,

1. Komutatif 4. Unsur Identitas

a + b = b + a a + 0 = a -- Penjumlahan a x b = b x a a x 1 = a -- Perkalian

2. Asosiatif 5. Kebalikan

(a + b) + c = a + (b + c) Invers a = -a --Penjumlahan (a x b) x c = a x (b x c) Invers a = --Perkalian

3. Distributif

a(b + c) = ab + ac

a

1


Bilangan: Operasi Tanda

Operasi,

1. 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|

2. 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)

3. Perkalian

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

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

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

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

4. Pembagian

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

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

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

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

Part3: Operasi Bilangan Pecahan


Bilangan Pecahan: Jenis

Operasi Bilangan Pecahan

Operasi,

1. Pemadanan

2. Penjumlahan & Pengurangan

3. Perkalian

4. Pembagian

Operasi,

1. Pemadanan

c : b

c : a

b

a

c x b

c x a

b

a


Bilangan Pecahan: Jenis (lanjut)

2. Penjumlahan & Pengurangan

Dua buah pecahan atau lebih,

hanya dapat ditambahkan atau dikurangkan apabila merekamemiliki suku pembagi yg sama atau sejenis.

Jika suku pembaginya belum sama, maka terlebih dahulu harus disamakan sebelum pecahan2

tersebut ditambahkan & dikurangkan.

3. Perkalian

xy

ab

y

b

x

ax

4. Pembagian

xb

ay

b

y

x

a

y

b

x

a:


Bilangan Pecahan: Latihan

Selesaikan

?7

2:

4

3 (d)

?6

1

7

2

4

3 (c)

?6

1

7

2

4

3 (b)

?6

1

7

2

4

3 (a)

?x5,x (h)

?y24,3

y (g)

?x15,5 x(f)

?x438

2 (e)

2

3


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Course : Matematika Ekonomi (1506ME01)

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150626_UWIN-ME01-s23