# Analiz I

Canonical: https://manyspace.aporia.systems/tr/subjects/mathematics/calculus-i-29
Updated: 2026-10-13

Analiz I: yaklaşık 51 saat. Her konu önce neye ihtiyaç olduğunu ve neyi açtığını listeler.

## Limits & Continuity

- [Sezgisel Limitler](https://manyspace.aporia.systems/tr/topics/intuitive-limits-mth-calc1-123)
- [Limit Yasaları ve Sıkıştırma Teoremi](https://manyspace.aporia.systems/tr/topics/limit-laws-squeeze-theorem-mth-calc1-124)
- [Süreklilik](https://manyspace.aporia.systems/tr/topics/continuity-mth-calc1-125)
- [Limitlerin Biçimsel Tanımı](https://manyspace.aporia.systems/tr/topics/formal-definition-of-limits-mth-calc1-126)

## Derivatives

- [Türevin Tanımı](https://manyspace.aporia.systems/tr/topics/definition-of-the-derivative-mth-calc1-127)
- [Türev Alma Kuralları](https://manyspace.aporia.systems/tr/topics/differentiation-rules-mth-calc1-128)
- [Zincir Kuralı](https://manyspace.aporia.systems/tr/topics/chain-rule-mth-calc1-129)
- [Kapalı Türev](https://manyspace.aporia.systems/tr/topics/implicit-differentiation-mth-calc1-130)
- [Aşkın Fonksiyonların Türevleri](https://manyspace.aporia.systems/tr/topics/derivatives-of-transcendental-functions-mth-calc1-131)

## Applications of Differentiation

- [İlişkili Değişim Hızları](https://manyspace.aporia.systems/tr/topics/related-rates-mth-calc1-132)
- [Doğrusal Yaklaşımlama ve Diferansiyeller](https://manyspace.aporia.systems/tr/topics/linear-approximation-differentials-mth-calc1-133)
- [Optimizasyon](https://manyspace.aporia.systems/tr/topics/optimization-mth-calc1-134)
- [Eğri İnceleme](https://manyspace.aporia.systems/tr/topics/curve-sketching-mth-calc1-135)
- [L'Hopital Kuralı](https://manyspace.aporia.systems/tr/topics/l-hopital-s-rule-mth-calc1-136)

## Integrals Intro

- [İlkel Fonksiyonlar ve Belirsiz İntegraller](https://manyspace.aporia.systems/tr/topics/antiderivatives-indefinite-integrals-mth-calc1-137)
- [Riemann Toplamları ve Belirli İntegral](https://manyspace.aporia.systems/tr/topics/riemann-sums-definite-integral-mth-calc1-138)
- [Analizin Temel Teoremi](https://manyspace.aporia.systems/tr/topics/fundamental-theorem-of-calculus-mth-calc1-139)