MATH101 Lecture 1 Part 2: Exponentials, Logs, Trig & Inverses | شرح Calculus بالعربي

MATH101 Calculus I — Lecture 1, Part 2: Families, Inverses & Models شرح المحاضرة الأولى من Calculus بالعامية المصرية — الجزء التاني: الـ Exponential والـ Logarithm، الـ Trig على الـ Unit Circle، الـ Composite والـ Inverse Functions، الـ Piecewise و ReLU، والـ Mathematical Models. Part 1 (Functions from Zero) is in the same playlist. Chapters 00:00 Intro 00:38 Exponential Functions 01:41 The Number e 02:31 What Is a Logarithm? 03:21 Three Log Rules 04:15 Expanding a Logarithm 05:26 Radians and the Unit Circle 06:30 sin and cos on the Circle 07:15 The Key Identity 08:19 The Sine and Cosine Waves 09:04 The Tangent 09:49 Quiz: tan, then cot 10:38 sec and cosec 11:14 More Identities & the Value Table 11:56 Composite Functions 12:53 Inverse Functions: The Undo Button 13:41 eˣ and ln Undo Each Other 14:36 When There Is No Inverse 15:38 Piecewise Functions 16:31 ReLU: A Function Inside AI 17:27 Mathematical Models 18:15 Functions in CS and AI 19:30 Four Common Mistakes 20:17 Lecture 1 Recap Based on the MATH101 Lecture 1 slides. #MATH101 #Calculus #Functions