3.8 Newton's Method | Sam's School

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Calculus 1

0. Introduction

0.1 Introduction (12:14)

1 FUNCTIONS AND LIMITS

1.1 Four ways to Represent a Function (42:21)
1.2 Mathematical Models (66:22)
1.3 New Functions from old function (48:01)
1.4 The tangent and velocity Problems (19:24)
1.5 The Limit of a Function (29:05)
1.6 Calculating Limits Using the Limit Laws (30:49)
1.7 The Precise Definition of a Limit (21:40)
1.8 Continuity (25:56)

2 DERIVATIVES

2.1 Derivatives and Rate of Change (36:32)
2.2 The Derivative as a Function (33:45)
2.3 Differential Formulas (35:30)
2.4 Derivatives of Trigonometric Functions (23:02)
2.5 Chain Rule (18:39)
2.6 Implicit Differentiation (20:27)
2.7 Rates of change in the nature and social science (15:43)
2.8 Related Rates (34:03)
2.9 Linear Approximation and Differentials (24:28)

3 APPLICATIONS OF DIFFERENTIATION

3.1 Maximum and Minimum Values (27:54)
3.2 Mean Value Theorem (26:03)
3.3 What derivatives tell us the shape of a graph (41:13)
3.4 Limit at Infinity(Horizontal Asymptotes) (30:01)
3.5 Summary of Curve Sketching (46:45)
3.6 Graphing with Calculus and Technology (33:46)
3.7 Optimization Problems (31:34)
3.8 Newton's Method (22:40)
3.9 Antiderivative (30:49)

4 INTEGRALS

4.1 The Area and Distance Problems (53:23)
4.2 The Definite Integral (52:06)
4.3 The Fundamental Theorem of Calculus (21:40)
4.4 Indefinite Integrals and the Net Change Theorem (21:22)
4.5 Substitution Rule (22:26)

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3.8 Newton's Method

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