MATH 102 - Calculus - Midterm 1 (S2024)
MATHNeler Öğreneceğiz?
Functions
Chain Rule
Rules of Differentiation
Definition of Derivative
Rate Of Change
Intermadiate Value Theorem
Continuity
Squeezing Theorem
Limit
Transformations
Rational Functions and Asymptotes
Exponential and Logarithmic Functions
Composition and Inverse Operation
Tangent and Normal Line
Bu ders hakkında
Math102 dersimize hepiniz hoşgeldiniz! Bu dersimizde Calculus'ün temelleri atılacak ve sırasıyla Limit,Türev ve Integral konularının üzerinde durulacaktır. Konular ve soruların hepsi Koç Üniversitesi müfredatına göre hazırlanmış olup çıkmış sınav sorularıyla desteklenmiştir.
Önerilen Dersler
In this video, you will introduce the concept of function that you have known from high school. In addition, questions related to the concepts of domain and range, which may arise at any time in the exams, will be solved.
In this video, you will see sample questions on various function types related to the concept of domain.
In this video, logarithm and exponential functions will be explained. Additionally, graphs and domains of these functions will be introduce
In this video, logarithm and exponential functions will be explained. Examples of both exponential and logarithmic equations will be shown. Additionally, graphs and domains of these functions will be introduced.
In this video, two operations used to create new functions will be introduced, inverse and composition operations.
In this video, rational functions will be explained. Horizontal and Vertical asymptotes will be introduced and examples that are likely to appear in the midterm will be solved.
In this video, horizontal and vertical transformations of functions will be explained. Especially, translatin, strech and reflection will be focus in the midterm. It will be showed in details by giving specific examples.
In this video, absolute value transformations of functions will be explained. The definition of a function being odd or even will be given and mixed examples will be solved.
This video explains the limit definition in an informal way and applies this informal definition to a few examples.
In this video, indetermined limits are explained, some basic examples are solved.
In that video, some limit questions that involved infinity and the answer to infinity are solved.
In this video, Squeeze theorem and its applications are explained. Also, one of the most important questions of this course will be solved regarding its results.
In this video, an important trigonometric identity will be given and classic questions related to it will be solved.
Continuity is one of the most important components of this lecture. There will definitely be a question in the first midterm.
The intermediate Value Theorem is a unique type of question. When you see it, it is immediately clear that the problem will be solved with IVT. This video has been prepared to help you become familiar with these question types.
Does this limit exist?
In this video, before moving on to the derivative, we will talk about the motivation that leads us to the derivative. This will be the starting point of the definition of derivative.
In this video, the limit definition of the derivative is shown. Also, a few examples related to the subject are discussed.
In this video , product and quotient rules, which are the rules of differentiation, are examined. Different question types have been solved to understand the subject in depth.
In this video , the chain rule, which is the most important differentiation rule, will be introduced. Before moving on to its definition, the motivation of the rule will be explained.
In this video, the definition of the chain rule, which is the most important differentiation rule, will be given. The derivatives of very difficult functions will be taken based on the definition.
In this video we will focus on the geometric definition of the derivative. We will calculate the tangent and normal lines at a point of the function graph with the help of derivatives. A question will definitely arise from here.
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