150626_uwin-me01-s23
DESCRIPTION
150626_UWIN-ME01-s23TRANSCRIPT
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Bachelor in Economics (S.E): Manajemen
Course : Matematika Ekonomi (1506ME01)
online.uwin.ac.id
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Session Topic : Introduction
Course: Matematika Ekonomi
By Handri Santoso, Ph.D
UWIN eLearning Program
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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
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Part1: Rencana Perkuliahan
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Pengantar
Although I
dropped out &
got lucky, getting
a degree is a
much surer path
to success:
http://b-gat.es/1Q73iy2
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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
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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
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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.
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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.
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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
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Part2: Sistem Bilangan
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Bilangan: Pembagian Jenis Bilangan
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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...,-
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Bilangan: Bilangan Riil (lanjut)
Rasional
BulatAsli
Riil
Irrasional
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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
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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
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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)
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Part3: Operasi Bilangan Pecahan
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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
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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:
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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)