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Koç University
KALKÜLÜS I: HAZIRLIK VE ALTYAPI / CALCULUS I: PRECALCULUS
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Koç University

KALKÜLÜS I: HAZIRLIK VE ALTYAPI / CALCULUS I: PRECALCULUS

Attila Aşkar

Instructor: Attila Aşkar

Included with Coursera Plus

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6 modules
Gain insight into a topic and learn the fundamentals.
Beginner level
No prior experience required
1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

6 modules
Gain insight into a topic and learn the fundamentals.
Beginner level
No prior experience required
1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
  • About
  • Modules
  • Recommendations
  • Testimonials

Skills you'll gain

  • Graphing
  • General Mathematics
  • Calculus
  • Mathematical Theory & Analysis
  • Algebra
  • Trigonometry

Details to know

Shareable certificate

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Assessments

1 assignment

Taught in Turkish

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There are 6 modules in this course

Niçin bu ders: Kalkülüse Hazırlık (Precalculus)?

Tek değişkenli fonksiyonları tanımak bu dersin konusu. Hemen her üniversite programında bir diferansiyel ve entegral hesap dersi var. Bu ders, çok önemli olmasına karşın, dünyada en az sevilen derslerden birisi de bu ders. Kimse dersin önemini inkâr etmiyor, ama ders hem öğrenci açısından hem de öğreticiler açısından sevimsiz bir deneyime dönüşüyor. Bu dersin amacı: fonksiyonları tanıtmak. Niçin? Matematik bir dil. Sözel dillerde kelimeleri dilbilgisi kurallarıyla birleştirilerek gözlemleri ve düşünceleri oluşturuyoruz. Matematikte de benzer olarak, dilbilgisinin görevini birbiriyle çelişmeyen kabuller (aksiyomlar / postulatlar), kelimelerin görevini de işlemleri tanımlayan işaretler ve fonksiyonlar sağlıyor. Sözel dillerde en az binlerce kelime gerekirken, matematikte sadece onlarca “kelime” yani fonksiyon yeterli oluyor. Bu açıdan bakınca matematik sözel dillerden daha kolay olmalı... İşte bu nedenle, matematiğin kelimelerini, yani fonksiyonları tanımak çok önemli. Bu dersin amacı temel fonksiyonları tanıtmak. Bu fonksiyonları iyi bilmeyenler, matematik dilinde ilerlemekte, özel olarak da kalkülüste başarılı olamıyorlar. Why this course: Precalculus? Single variable functions are an introduction to calculus. Almost every university program has a course on differential and integral calculus. Although this course is very important, it is also one of the least popular courses in the world. No one denies the importance of the course, but it is not successful both for the students nor for the instructors. As a result, the lesson turns into an unpleasant experience for both the students and the instructors. The aim of this course is to introduce functions. Why? Mathematics is a language. In verbal languages, we combine words with grammatical rules to form observations and thoughts. In mathematics too, the task of grammar is to provide non-contradictory assumptions (axioms/postulates), and the task of words is provided by signs and functions that describe operations. While thousands of words are required in verbal languages, only dozens of "words" i. e. functions are sufficient in mathematics. From this point of view, mathematics should be easier than verbal languages. For this reason, it is very important to recognize the functions that make up the words of mathematics. The aim of this course is to introduce the basic functions.

What's included

4 readings

4 readings•Total 30 minutes
  • İçindekiler (Turkish)•5 minutes
  • Contents•5 minutes
  • DENEME SINAVI SORULAR•10 minutes
  • HONORS QUESTIONS•10 minutes

What's included

5 videos

5 videos•Total 104 minutes
  • Matematik Nedir?•35 minutes
  • Matematiğin Dalları•21 minutes
  • Yaşam ve Matematik•9 minutes
  • Analizin Gelişmesindeki Temel Adımlar•15 minutes
  • Gerçel ve Karmaşık Sayılar•22 minutes

What's included

1 video

1 video•Total 47 minutes
  • Genel Kavramlar ve İşlemler•47 minutes

What's included

6 videos

6 videos•Total 214 minutes
  • Kuvvet Fonksiyonları•42 minutes
  • Üstel Fonksiyonlar•37 minutes
  • Hiperbolik Fonksiyonlar•21 minutes
  • Trigonometrik Fonksiyonlar•26 minutes
  • Euler Formülü ve Uygulamaları•43 minutes
  • Koni Kesiti Fonksiyonları: Ellips, Parabol, Hiperbol•42 minutes

What's included

2 videos1 reading

2 videos•Total 50 minutes
  • Limit ve Süreklilik•47 minutes
  • Diferansiyel Denklemler: Kısa Bir Tanıtım•2 minutes
1 reading•Total 10 minutes
  • Diferansiyel Denklemler Kısa Bir Tanıtım•10 minutes

What's included

1 assignment

1 assignment•Total 180 minutes
  • Sınav•180 minutes

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Instructor

Attila Aşkar
Attila Aşkar
Koç University
7 Courses•16,430 learners

Offered by

Koç University

Offered by

Koç University

Koç University is a leading liberal arts university located in Istanbul, Turkey; also recognized globally for facilitating cutting edge research in its full collection of Colleges, including Administrative Sciences & Economics, Engineering, Natural Sciences, Humanities & Social Sciences, Law, Nursing and Medicine. With its strong academic structure, research opportunities, international achievements, vivid social environment and wide range of job opportunities upon graduation, Koç University distinctively attracts attention. Now available online.

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