Welcome to the Mathematics OER Smart Library! Our library offers a diverse range of materials—including videos, infographics, games, presentations, animations, and more—covering topics such as algebra, calculus, geometry, statistics, and probability. These resources are available in six languages: Estonian, German, Portuguese, Romanian, Catalan, and Spanish. Additionally, our library includes materials accessible to visually impaired and color-blind individuals. These resources are designed to support educators, students, and researchers in secondary, vocational, and higher education institutions.
Random OERs:
Total number of OERs published so far:
1424To explore and utilize these materials, navigate through our categorized sections or use the search function to find specific OERs of interest.
Title
A Practical Introduction to the Notion Definite Integral
Authors
Educational level
Secondary School, Higher Education
Level
medium
Description
This PowerPoint presentation is designed to introduce students and teachers to the concept of the definite integral, providing a structured and engaging first contact with this fundamental topic in calculus. The material covers essential definitions, properties, and applications, ensuring a clear and comprehensive understanding of the subject. Key Features: • Conceptual Introduction: Explains the motivation behind definite integrals, their relationship with areas under curves. • Properties and Theorems: Presents fundamental properties such as linearity, additivity, and the connection between definite and indefinite integrals through the First Fundamental Theorem of Calculus. • Interactive Exercises: Offers several practice problems, with the option to reveal step-by-step solutions to guide students through the problem-solving process. • Exploratory Questions: Encourages critical thinking through engaging examples that highlight different techniques for evaluating definite integrals. • Teacher-Friendly Design: Provides structured content that facilitates classroom discussions and supports educators in delivering an effective introduction to the topic. By using this interactive PowerPoint, learners will be confronted with the foundation in definite integrals, equipping them with the skills necessary for further studies in integral calculus. The interactive format ensures an engaging and adaptive learning experience, catering to different levels of understanding.
Licence
CC-BY-SA
Type
GIF/Animation
Category
High-school fundamentals
Keywords
Definite Integral, Area under a curve, Properties
File
UIC-012-PRE_EN.pptx