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Updated in [October 18th, 2023]

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Course Features


Video lectures

Captions&transcript

Lecture notes

Assignments: problem sets (no solutions)

Exams and solutions


Course Description

This course covers vector and multi-variable calculus It is the second semester in the freshman calculus sequence Topics include vectors and matrices partial derivatives double and triple integrals and vector calculus in 2 and 3-space

MIT OpenCourseWare offers another version of 1802 from the Spring 2006 term Both versions cover the same material although they are taught by different faculty and rely on different textbooks Multivariable Calculus (1802) is taught during the Fall and Spring terms at MIT and is a required subject for all MIT undergraduates
We considered the value of this course from many aspects, and finally summarized it for you from two aspects: skills and knowledge, and the people who benefit from it: (Please note that our content is optimized through artificial intelligence tools and carefully reviewed by our editorial staff.) What skills and knowledge will you acquire during this course? During this course, students will acquire the following skills and knowledge: 1. Understanding of vector calculus: Students will learn about vectors and matrices, including their properties and operations. They will also gain proficiency in vector calculus, which involves the study of vector fields, line integrals, and surface integrals. 2. Mastery of multi-variable calculus: Students will develop a strong foundation in multi-variable calculus, including the concept of partial derivatives and their applications. They will also learn about double and triple integrals, which are used to calculate volumes and surface areas in multiple dimensions. 3. Problem-solving abilities: Through assignments and exams, students will enhance their problem-solving skills in the context of vector and multi-variable calculus. They will learn to apply mathematical concepts and techniques to solve complex problems and analyze real-world scenarios. 4. Mathematical reasoning and analysis: The course will foster students' ability to think critically and analytically. They will learn to analyze mathematical problems, identify relevant information, and develop logical arguments to arrive at solutions. 5. Proficiency in mathematical notation and terminology: Students will become familiar with the notation and terminology commonly used in vector and multi-variable calculus. This will enable them to communicate mathematical ideas effectively and understand mathematical literature. Overall, this course will equip students with a solid understanding of vector and multi-variable calculus, enabling them to apply these concepts to various fields such as physics, engineering, economics, and computer science. Who will benefit from this course? This course on Multivariable Calculus will benefit students and professionals in various fields, including: 1. Mathematics and Physics Students: This course is a required subject for all MIT undergraduates, making it essential for students pursuing degrees in mathematics, physics, or related fields. It provides a deeper understanding of vector and multi-variable calculus, which are fundamental concepts in these disciplines. 2. Engineering Students: Engineering students will find this course beneficial as it covers topics such as vectors, matrices, and vector calculus in 2 and 3-space. These concepts are essential for solving complex engineering problems and designing systems in various engineering disciplines. 3. Computer Science Students: Multivariable calculus is often used in computer graphics, machine learning, and computer vision. Students studying computer science will benefit from this course as it provides a solid foundation in the mathematical principles underlying these fields. 4. Researchers and Scientists: Professionals working in research and scientific fields that involve data analysis, modeling, and simulations will benefit from this course. Multivariable calculus is crucial for understanding and analyzing complex systems and phenomena. 5. Teachers and Educators: This course can be a valuable resource for teachers and educators who want to enhance their knowledge and teaching skills in multivariable calculus. The video lectures, lecture notes, and assignments provided in the course can be used as supplementary materials for classroom instruction. Overall, anyone interested in gaining a deeper understanding of vector and multi-variable calculus will benefit from this course, regardless of their specific profession or academic background.