Mathematics 1: Differential Calculus
This course is part of Mathematics and Statistics Fundamentals.
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.
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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
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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
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: Mathematics and Statistics Fundamentals
Instructor
8 Courses
Expert Mathematics Educator and Course Designer at LSE
Siri Kouletsis is a seasoned mathematics educator who has worked extensively in the Department of Mathematics at The London School of Economics and Political Science (LSE), specializing in teaching linear algebra, calculus, and quantitative methods. Since 2020, she has played a pivotal role in designing course content for LSE Online's BSc programs, focusing on abstract mathematics, calculus, and linear algebra. She also leads teams of class teachers and conducts exam preparation webinars for students. From 2022 onwards, Siri has served as the course convenor for mathematics courses in LSE’s MicroBachelors® programme in Mathematics and Statistics Fundamentals offered on edX. Her dedication ensures that learners receive high-quality, accessible mathematics education tailored for both academic and professional advancement.
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