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Calculus 2
INTRODUCTION
Introduction (10:29)
5 APPLICATIONS OF INTEGRATION
5.1 Areas Between Curves (33:08)
5.2 Volume (62:12)
5.3 Volumes by Cylindrical Shells (33:16)
5.4 Work (24:47)
5.5 Average Value of a Function (9:38)
6 INVERSE FUNCTIONS
6.1 Inverse functions and their derivatives (32:11)
6.2 Exponential Functions and their derivatives (39:24)
6.3 Logarithmic Functions (22:20)
6.4 Derivatives of Logarithmic Functions (37:53)
6.5 Exponential Growth and Decay (28:39)
6.6 Inverse Trigonometric Functions (76:45)
6.7 Hyperbolic Functions (44:13)
6.8 Indeterminate Forms and L'Hospital Rule (40:41)
7 TECHNIQUE OF INTEGRATION
7.1 Integration by Part (30:00)
7.2 Trigonometric Integrals (35:57)
7.3 Trigonometric Substitution (38:32)
7.4 Integration of Rational Functions by partial fractions (51:54)
7.5 Strategy for Integration (29:55)
7.6 Integration using Table (19:46)
7.7 Approximate Integration (50:24)
7.8 Improper Integrals (41:30)
8 FURTHER APPLICATIONS OF INTEGRATION
8.1 Arc Length (31:19)
8.2 Area of a Surface of Revolution (34:25)
8.3 Applications to physics and engineering (51:40)
8.4 Applications to Economic and Biology (14:16)
8.5 Probability (27:08)
9 DIFFERENTIAL EQUATIONS
9.1 Modeling with Differential equation (18:04)
9.2 Directional Field and Euler's Method (33:27)
9.3 Separable Equations (27:07)
9.4 Models for Population Growth (19:50)
9.5 Linear Differential Equations (17:00)
9.6 Predator-Prey System (9:55)
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7.7 Approximate Integration
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