Introduction . Elements differential and integral calculations.

Introduction. Elements differential and integral calculations.

Function. Derivative of functionConstants and variables

Basic elementary functions.

Derivative of function.

Physical sense of derivative

BASICS OF INTEGRAL CALCULATION • Integral calculation arised as a result of creation of general method for calculation of areas, volumes and gravitation centers of different bodies. In 1659 English mathematician Isaak Barrow established relation between the area search problem and problem of tangent search and in such a way established relation between differential and integral calculation. Let line MN be given by equation and we want to find area S of “crooked-linear trapeze” аАВв. Let’s devide the section аb by n pieces ax1, x1x2... xN-1b (equal or unequal) and construct from rectangulars figure shown in figure. Its area is

Formative function and indefinite integral

Indefinite integral properties. Basic integration formulars.

Integration methods

Integration by parts

Definite Integral

Introduction . Elements differential and integral calculations.

Introduction . Elements differential and integral calculations.

Presentation Transcript

Elements: Introduction

Numerical solution of Differential and Integral Equations

Introduction to Engineering Calculations

Maxwell’s Equations: Differential and Integral Forms

Introduction to Design Elements

Introduction to sample size and power calculations

Program Elements -- Introduction

Introduction to Differential Expression Analysis

Measurements and Calculations

Proportional Integral Differential (PID) Control

Elliptic Partial Differential Equations - Introduction

Introduction. Elements differential and integral calculations

Introduction to Partial Differential Equations

Calculations with Elements and Compounds

Few-body calculations of GDH integral up to

VLE Calculations - Introduction

Introduction to Differential Equations

Introduction to Integral Calculus

1. Integral vs Differential Approach

Introduction and Basic Elements of Advocacy