Introduction to Calculus
Coursera
The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics. Students taking Introduction to Calculus will: • gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks), • develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week), • develop and practice methods of differential calculus with applications (fourth week), • develop and practice methods of the integral calculus (fifth week).
More resources on Limits
Jiří Lebl's Real Analysis Book (Free PDF)
Modern free textbook with limits chapter, highly rec'd on Reddit.
ProofWiki: Real Analysis
Wiki with proofs and definitions for limits in metric spaces.
Introduction to Real Analysis
Learn real analysis fundamentals! This course, by William F. Trench, covers limits and essential concepts.
Real Analysis
Master real analysis with Casey K. Rodriguez's course, focusing on limits! Explore fundamental concepts and build a strong foundation.
Brilliant.org Limits
Interactive problem-solving for limits
Khan Academy Limits
Interactive limits exercises
