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INTUITION MATTERS! Applied Calculus for Engineers - Part 3
Single variable integrals
Discrete VS Continuous functions - what's the difference (10:44)
Intro to Integrals - The area of the wall calculation 1 (10:30)
Intro to Integrals - The area of the wall calculation 2 (14:36)
Integrals - what's the meaning of it 1 (11:56)
Integrals - what's the meaning of it 2 (13:10)
Integrals - what's the meaning of it 3 (13:42)
Integrals - what's the meaning of it 4 (17:47)
Indefinite Integrals VS Definite Integrals - what's the difference (15:02)
Definite Integrals - Area of the wall calculation 1 (22:04)
Definite Integrals - Area of the wall calculation 2 (12:40)
Improper Integrals - made intuitive (20:42)
Definite Integrals - formal definition (20:41)
Area of a circle & initial conditions - integrals applied (13:29)
Area of a circle - 2nd approach - integrals applied (13:58)
Volume of a solid - integrals applied (15:58)
Integration by parts - where it comes from and how to apply it (14:03)
Curve length calculation - integrals applied 1 (16:19)
Curve length calculation - integrals applied 2 (10:26)
Spiral length calculation in 3D - integrals applied (12:31)
Spiral length - exercise
Spiral length - answer
Multivariable integrals
Multivariable integrals - intuition 1 (16:55)
Multivariable integrals - intuition 2 (17:31)
Multivariable integrals - intuition 3 (9:54)
Triple Integrals -intuition (7:50)
Quadruple Integrals - intuition (6:26)
Mass calculation with varying density - applied triple integrals (16:00)
Introduction to Differential Equations
Differential Equations - intuition & different representations 1 (16:09)
Differential Equations - intuition & different representations 2 (12:42)
Wave representation in time & frequency domain (5:28)
Integration by parts - where it comes from and how to apply it
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