Private teachers in Jeddah

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91 private teachers in Jeddah

Trusted teacher: Chapter 1: Relationships The central question of this introductory chapter – which contains no calculus – is “What is a function?” The objective is to help students separate this concept from other relationships between varying quantities, and especially to separate the idea of function from such ideas as formula and equation. The concept of function is the basic building block of mathematics. A deep understanding of function will facilitate your future study of mathematics and computer science. Throughout this course, we will be working with multiple representations of functions. The authors of our text present functions verbally, numerically, and visually as well as algebraically. Chapter 2: Models of Growth: Rates of Change In this chapter, we will investigate some basic reasons for studying calculus. In particular we will investigate problem situations which can be modeled using differential equations. Topics introduced in this chapter include difference quotients, derivatives, slope fields, initial value problems whose solutions are functions and families of functions. The primary example of this chapter is natural population growth, the simplest ODE (ordinary differential equation) to solve. This example provides an immediate reason for moving beyond polynomials to other families of functions (e.g., to exponential and logarithmic functions). We will conclude this chapter by using tools of calculus to analyze the spread of the AIDS virus. Chapter 3: Initial Value Problems This short chapter builds on Chapter 2, introducing Newton’s Law of Cooling (exponential decay) to solve a murder mystery, then studying falling objects without air resistance (polynomial solutions). Chapter 4: Differential Calculus and Its Uses This chapter is the heart of first-semester calculus, consolidating what has been learned about derivatives to take up problems involving optimization, concavity, Newton’s Method (as an exercise in local linearity), and the basic formulas for differentiation. The product rule is introduced to study the growth rate of energy consumption, the chain rule to study reflection and refraction, and implicit differentiation to calculate derivatives of logarithmic functions and general powers. The process of zooming in on a graph is related to differentials and Leibniz notation. The chapter concludes with an interesting application of calculus to a problem in air-traffic control. Chapter 5: Modeling with Differential Equations This chapter builds on the problems introduced in Chapter 3, introducing air resistance to problems of falling bodies (e.g., raindrops and skydivers). The authors introduce problems of periodic motion, which are modeled using trigonometric functions and their derivatives.
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Tuition Math - Physics - Chemistry - Biology (Mexico City)
Raef
I found Dr. Ralf to be a wonderful Teacher. The things that he taught me through online helped me a great deal in this class as well as in statistic level. Because of the help and attention that He provided me with, I understand and enjoy Statistics. The class was great in that he didn’t just give the answers away – he made me THINK. This was sort of frustrating, but it helped me understand the material much better. I would recommend him as a Teacher for future classes, without a doubt.
Review by AHMED
Math tutoring for high school students (Paris)
Salah Eddine
Salah is an exceptional Math teacher! Although it was a short notice, yet he was very much considerate of our tight schedule and made time to prepare me for the assessment! Thanks, Salah for your outstanding teaching approach. I very much recommend Salah as your Math Teacher!
Review by NADIN
Arabic language establishment for non-native speakers of the language and follow-up teaching of the language at the primary stage (Jeddah)
Reem
Amazing teacher!
Review by WALA