Introduction to Mathematical Integration
Master fundamental integration techniques and applications in calculus, from basic primitives to area calculations.
Master fundamental integration techniques and applications in calculus, from basic primitives to area calculations.
This foundational mathematics course provides a comprehensive review of integral calculus concepts essential for university-level studies. Students learn various integration techniques including immediate primitives, change of variable, and integration by parts. The course covers practical applications such as area calculations and explores rational function integration. Designed for beginners with basic calculus knowledge, it provides a solid foundation for advanced mathematical studies.
Instructors:
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What you'll learn
Understand the concept and properties of primitive functions
Master immediate and pseudo-immediate primitive techniques
Apply change of variable and integration by parts methods
Solve problems involving rational function integration
Calculate areas using definite integrals
Develop problem-solving skills in integral calculus
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
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Module Description
This introductory course provides a thorough grounding in integral calculus, focusing on essential concepts and techniques needed for university mathematics. The curriculum covers fundamental topics including primitive functions, integration methods, and their applications. Students learn various integration techniques such as immediate primitives, change of variable, and integration by parts. The course emphasizes practical applications through area calculations and includes special attention to rational function integration.
Fee Structure
Instructor
8 Courses
Distinguished Mathematics Scholar and Educational Innovator
Antonio José Guirao Sánchez serves as Professor at the Polytechnic University of Valencia (UPV) and Deputy Director of the Department of Applied Mathematics. After completing his Mathematics degree from Universidad de Murcia in 2003 and PhD with European mention in 2007, he has established himself as an expert in Functional Analysis and Banach spaces geometry. His academic career includes teaching positions at Universidad de Murcia, Universidad Politécnica de Cartagena, and UPV. As a researcher at the Institute of Pure and Applied Mathematics (IUMPA-UPV), his work has garnered over 400 citations, with an h-index of 11. His contributions to mathematics education include developing several MOOCs published on EdX and authoring multiple teaching and research manuals. Through his research in Banach spaces and commitment to mathematics education, he continues to advance both theoretical understanding and practical applications of mathematical concepts.
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