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165 private teachers in Jeddah

Ayman - Jeddah445 CNY
445 CNYClaculus I, II , III for university students studying engineering and math
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.
Math
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Ahmed - Jeddah248 CNY
248 CNYCalculus 1 & 2 for preparatory and university students
Trusted teacher: This course is intended for preparatory year university students and all majors that rely on the study of differential and integral calculus (Calculus 1 & 2), such as: engineering in all its branches, natural sciences, computer science, economics, and management, in addition to any field that requires a strong foundation in mathematics. In this course, we will go through a step-by-step explanation of the concepts of differentiation and integration, starting with limits, derivatives, and their rules, then moving on to practical applications of differentiation, such as maximum rates of change and solving physical and engineering problems. Finally, we will discuss definite and indefinite integration and its various methods of calculation, with practical applications for areas, volumes, and solving equations. The lessons are designed in a simple and streamlined style that helps students understand complex concepts easily, with a focus on practical training through solving exercises and questions similar to those found on university exams. Detailed explanations of common mistakes and practical tips are also provided for confidently passing Calculus and achieving outstanding results. This course is not limited to simply solving problems, but rather aims to build a solid mathematical foundation that will enable the student to pursue his other university courses more easily.
Computer engineering · Electrical engineering · Mechanical engineering
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Arabic language establishment for non-native speakers of the language and follow-up teaching of the language at the primary stage (Jeddah)
Reem
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