Ni莽in bu ders: Kalku虉lu虉se Haz谋rl谋k (Precalculus)?
Tek de臒i艧kenli fonksiyonlar谋 tan谋mak bu dersin konusu. Hemen her u虉niversite program谋nda bir diferansiyel ve entegral hesap dersi var. Bu ders, 莽ok 枚nemli olmas谋na kar艧谋n, du虉nyada en az sevilen derslerden birisi de bu ders. Kimse dersin 枚nemini ink芒r etmiyor, ama ders hem 枚臒renci a莽谋s谋ndan hem de 枚臒reticiler a莽谋s谋ndan sevimsiz bir deneyime d枚nu虉艧u虉yor. Bu dersin amac谋: fonksiyonlar谋 tan谋tmak. Ni莽in? Matematik bir dil. S枚zel dillerde kelimeleri dilbilgisi kurallar谋yla birle艧tirilerek g枚zlemleri ve du虉艧u虉nceleri olu艧turuyoruz. Matematikte de benzer olarak, dilbilgisinin g枚revini birbiriyle 莽eli艧meyen kabuller (aksiyomlar / postulatlar), kelimelerin g枚revini de i艧lemleri tan谋mlayan i艧aretler ve fonksiyonlar sa臒l谋yor. S枚zel dillerde en az binlerce kelime gerekirken, matematikte sadece onlarca 鈥渒elime鈥� yani fonksiyon yeterli oluyor. Bu a莽谋dan bak谋nca matematik s枚zel dillerden daha kolay olmal谋... 陌艧te bu nedenle, matemati臒in kelimelerini, yani fonksiyonlar谋 tan谋mak 莽ok 枚nemli. Bu dersin amac谋 temel fonksiyonlar谋 tan谋tmak. Bu fonksiyonlar谋 iyi bilmeyenler, matematik dilinde ilerlemekte, 枚zel olarak da kalku虉lu虉ste ba艧ar谋l谋 olam谋yorlar. 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.
