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Calculus | Welcome to Calculus

Welcome to Calculus

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Welcome to Calculus

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1.1 Introduction to Limits
1.2 Estimating Limits Numerically
1.3 Limits that Do Not Exist
1.4 Properties of Limits
1.5 Solving Limits
1.6 Solving Trig Limits
1.7 Epsilon Delta Limit Definition
1.8 Continuity and One Sided Limits
1.9 Problem Solving

Ch.2 Derivatives

2.1 Definition of the Derivative
2.2 Functions and Derivatives
2.3 Basic Derivative Rules
2.4 Trig Derivatives
2.5 Product Rule
2.6 Chain Rule
2.7 Quotient Rule
2.8 Implicit Differentiation
2.9 Derivative of Inverse Trig Functions
2.10 Related Rates

Ch.3 Derivative Application

3.1 Extrema
3.2 Critical Numbers
3.3 Mean Value Thereom
3.4 First Derivative Test
3.5 Concavity and the Second Derivative
3.6 Optimzation
3.7 Linear Approximation

Ch.4 Integration and Area

4.1 Antiderivatives
4.2 Intro to Area Under a Curve
4.3 Exact Area Under a Curve
4.4 Riemann Sum and the Definite Integral
4.5 First Fundamental Theorem of Calculus
4.6 Properties of Integrals

Ch.5 Integration Technique

5.1 Integration by Re-Writing
5.2 U-Substitution
5.3 Integration: Natural Log