Summary
Full Transcript
Welcome to Week 3 Lecture 2 Part A of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview In this lecture, we generalize the concept of slope from straight lines to quadratic functions. Starting with the definition of slope as rise over run (_y/_x), we derive the formula for the slope of a quadratic function f(x) = ax_ + bx + c at any point. We also see that the function has rate of change equal to zero or slope equal to zero at x = -b/2a, which corresponds to the vertex of the parabola. This builds a bridge between linear slope and the changing slope of curves, preparing students for calculus concepts. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #slope #quadraticfunction #parabola #mathematics #calculus #rateofchange #riseoverrun #linearfunction #derivative #vertex #MathForDataScience #IITMadrasBS #OnlineLearning
Continue this lesson in the app
Install CourseHive on Android or iOS to keep learning while you move.
