Bases Matemáticas: Integrales
This course is part of Bases matemáticas para estudiar ingeniería.
This comprehensive mathematics course from Universitat Politècnica de València focuses on reviewing essential integral calculus concepts needed for university-level studies. Over five weeks, students will master the concept of primitives and their properties, immediate and pseudo-immediate primitives, and various integration techniques including variable substitution and integration by parts. The course covers arctangent-type primitives, rational function integration, and definite integrals applied to area calculations. Designed as a foundational review for students in technical fields, the course helps strengthen mathematical skills necessary for university courses where mathematics plays a crucial role. With 4-5 hours of weekly commitment, students work through theoretical concepts and practical applications at their own pace. The course is taught in Spanish with Spanish transcripts available, making it accessible to Spanish-speaking learners worldwide seeking to solidify their understanding of integral calculus before tackling more advanced engineering or scientific studies.
Instructors:
Spanish
Español
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What you'll learn
Understand the concept of primitives, their properties and immediate primitives
Master pseudo-immediate primitives and integration techniques
Learn to calculate arctangent-type primitives and integrals of rational functions
Apply definite integrals to calculate areas
Perform variable substitution for complex integrals
Use integration by parts to solve non-elementary integrals
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments
Access on Mobile, Tablet, Desktop
Limited Access access
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Module Description
This course provides a comprehensive introduction to integral calculus, designed specifically for university students in technical fields such as engineering. The curriculum focuses on building a solid foundation in integration techniques and their applications. Students will learn about primitives and their properties, including immediate and pseudo-immediate primitives, and master various integration methods such as variable substitution and integration by parts. The course also covers the integration of special function types, including arctangent-type functions and rational functions. Additionally, students will explore definite integrals and their application to area calculations. The course is structured to provide both theoretical understanding and practical problem-solving skills, ensuring students develop the mathematical competence needed for success in their university studies. With a self-paced format allowing 4-5 hours of weekly study over 5 weeks, the course accommodates different learning styles while providing sufficient depth on this essential mathematical topic.
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Bases matemáticas para estudiar ingeniería
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Instructor
5 Courses
Distinguished Mathematics Scholar and Educational Innovator
Antonio J. Guirao Sánchez, Professor at UPV, specializes in Banach spaces, with 400+ citations, MOOCs on EdX, and a strong focus on math education.
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