Mathematics 1: Differential Calculus
Master differential calculus concepts and techniques with applications in economics and management through this comprehensive LSE course.
Master differential calculus concepts and techniques with applications in economics and management through this comprehensive LSE course.
This foundational course from LSE introduces students to crucial mathematical concepts and techniques in differential calculus. Students will develop strong problem-solving skills through the study of functions, derivatives, curve sketching, and multivariate calculus. The course emphasizes practical applications in economics and management, helping learners build quantitative skills essential for high-growth careers or further academic study. Through systematic progression from basic concepts to advanced topics, students gain both theoretical understanding and practical problem-solving abilities in mathematical analysis.
4.4
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What you'll learn
Master the fundamentals of functions and graphical analysis
Develop proficiency in calculating and applying derivatives
Learn advanced techniques for curve sketching and optimization
Understand functions of two variables and partial derivatives
Analyze critical points of two-variable functions
Apply mathematical techniques to economics and management problems
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, Final exam
Access on Mobile, Tablet, Desktop
Limited Access access
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There are 5 modules in this course
This comprehensive course covers essential topics in differential calculus, focusing on both theoretical understanding and practical applications. The curriculum progresses through fundamental concepts of functions and graphs to advanced topics in multivariate calculus. Students learn to apply mathematical techniques to real-world problems in economics and management. The course emphasizes problem-solving skills and includes extensive practice with both standard and unseen mathematical challenges. Key areas include derivatives, curve sketching, optimization, and analysis of functions with multiple variables.
Functions and graphs
Module 1
The derivative
Module 2
Curve sketching and optimisation
Module 3
Functions of two variables and partial derivatives
Module 4
Critical points of two-variable functions
Module 5
Fee Structure
Instructor
8 Courses
Distinguished Mathematics Professor and Machine Learning Theory Expert
Martin Anthony serves as Professor of Mathematics and Director of the Data Science Institute at the London School of Economics and Political Science (LSE), where he has been a faculty member since 1990. Originally from Paisley, Scotland, his academic journey includes a BSc in Mathematics from the University of Glasgow (1988), a Ph.D. in Mathematics from the University of London (1991), and an MA in Higher and Professional Education from the Institute of Education (2002). His research focuses on the mathematical foundations of machine learning, data science, and Boolean functions, with recent work exploring algorithmic fairness and privacy in data science. His teaching excellence has been recognized with multiple awards, including the inaugural 2014 LSE Students' Union Teaching Excellence Award and LSE Education Excellence Awards in 2016 and 2017. Throughout his career at LSE, he has held several leadership positions, including Head of Department, Academic Governor, and Vice-Chair of the Academic Board. His contributions to mathematical education include authoring three research monographs and two successful undergraduate textbooks, establishing him as a leading figure in mathematical theory and education.
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4.4 course rating
21 ratings
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