University of Pennsylvania via Coursera
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
In this first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O.
Welcome to Calculus: Single Variable! below you will find the course's diagnostic exam. if you like, please take the exam. you don't need to score a minimal amount on the diagnostic in order to take the course. but if you do get a low score, you might want to readjust your expectations: this is a v…
This module will review the basics of your (pre-)calculus background and set the stage for the rest of the course by considering the question: just what is the exponential function?
This module gets at the heart of the entire course: the Taylor series, which provides an approximation to a function as a series, or "long polynomial". You will learn what a Taylor series is and how to compute it. Don't worry! The notation may be unfamiliar, but it's all just working with polynomia…
A Taylor series may or may not converge, depending on its limiting (or "asymptotic") properties. Indeed, Taylor series are a perfect tool for understanding limits, both large and small, making sense of such methods as that of l'Hopital. To solidify these newfound skills, we introduce the language o…
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University of Pennsylvania is in Tier 1: world-leading universities and India's top institutes of our institution ranking (94/100).
Instructor: Dennis Freeman, Kendra Pugh This course provides an integrated introduction to electrical engineering and computer science, including modern software engineering, linear systems analysis, electronic circuits, and decision-making. The lecture videos provide an overview of each topic, whi…
Harvard University · edX
Focusing on the basics of machine learning and embedded systems, such as smartphones, this course will introduce you to the “language” of TinyML.
Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which invol…
Instructor: Michael Short View the complete course: https://ocw.mit.edu/22-01F16 This course provides an introduction to nuclear science and its engineering applications. It describes basic nuclear models, radioactivity, nuclear reactions and kinematics; covers the interaction of ionizing radiation…
Instructor: David Perreault View the complete course: https://ocw.mit.edu/courses/6-622-power-electronics-spring-2023 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62UTc77mJoubhDELSC8lfR0 6.622 covers modeling, analysis, design, control, and application of circuits for energy c…
Instructors: Moungi Bawendi, Keith Nelson This subject deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, chemical equilibrium of reactions in gas and solution phase, and rates of chemical reactions. View the complete course at: http://ocw.mit.edu/5-60S08 Lice…
