MTH 220 Calculus I

Mathematics

Author: Monroe Community College
Publisher: LibreTexts
Source: LibreTexts
License: CC BY-NC-SA
Language: EN
Category: Basic Sciences

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Contents· 103 sections

01: Review- Functions and Graphs
1.0E: 1.0E: Exercises
1.01: Prelude to Functions and Graphs
1.1E: 1.1E: Exercises
1.02: Review of Functions
1.2E: 1.2E: Exercises
1.03: Basic Classes of Functions
1.3E: 1.3E: Exercises
1.04: Trigonometric Functions
1.4E: 1.4E: Exercises
1.05: Inverse Functions
1.5E: 1.5E: Exercises
1.06: Exponential and Logarithmic Functions
02: Chapter 2 Limits
2.0E: 2.0E: Introduction Exercises
2.01: Introduction
2.02: The Idea of Limits
2.2E: 2.2E: Limits of Functions Exercises
2.03: 2.1E The Idea of Limits
2.3E: 2.3E: Limit Laws and Techniques Exercises
2.3E: 2.3E: Limit Laws and Techniques for Computing Limits EXERCISES
2.04: Limits of Functions
2.4E: 2.4E: Infinite Limits EXERCISES
2.05: Limit Laws and Techniques for Computing Limits
2.5E: 2.5E: Limits at Infinity EXERCISES
2.06: Infinite Limits
2.6E: 2.6E: Continuity EXERCISES
2.07: Limits at Infinity
2.7E: 2.7E: Precise Definition of Limit EXERCISES
2.08: Continuity
2.09: The Precise Definition of a Limit
03: Derivatives
3.0E: 3.0E: Exercises
3.01: Prelude to Derivatives
3.1E: 3.1E: Definition of the Derivative (Exercises)
3.02: Definition of the Derivative
3.2E: 3.2E: Derivative as a Function Exercises
3.03: The Derivative as a Function
3.3E: 3.3E: Both 3.3 and 3.4 Exercises
3.04: (and 3.4) Differentiation Rules
3.05: Derivatives of Trigonometric Functions
3.5E: 3.5E: Trig Derivatives Exercises
3.06: Derivatives as Rates of Change
3.07: Rates of Change Exercises
3.08: The Chain Rule
3.09: Chain Rule Exercises
3.10: Implicit Differentiation
3.11: Implicit Differentiation Exercises
3.12: Derivatives of Ln General Exponential and Log Functions and Logarithmic Differentiation
3.13: Derivatives Ln etc. Exercises
3.14: Derivatives of Inverse Trig Functions
3.15: Inverse Trig Derivatives Exercises
04: Applications of Derivatives
4.0E: 4.0E: Exercises
4.01: Prelude to Applications of Derivatives
4.1E: 4.1E: Related Rates Exercises
4.02: Related Rates
4.2E: 4.2E: Maxima and Minima Exercises
4.03: Maxima and Minima
4.3E: 4.3E: Shape of the Graph Exercises
4.04: Derivatives and the Shape of a Graph
4.05: Graphing
4.06: Sketch the GRAPH Exercises
4.07: Optimization Problems
4.08: Optimization Exercises
4.8E: 4.8E: AntiDerivative and Indefinite Integral Exercises
4.09: Linear Approximations and Differentials
4.10: The Mean Value Theorem
4.11: Antiderivatives
05: Integration
5.0E: 5.0E: Exercises
5.01: Prelude to Integration
5.02: Approximating Areas
5.03: 5.1 Approximating Area (Riemann Sum) Exercises
5.04: The Definite Integral
5.4E: 5.4E: Average Value of a Function Exercises
5.05: Definite Integral Intro Exercises
5.06: The Fundamental Theorem of Calculus Basics
5.07: FTOC Exercises
5.7E: 5.7E: Net Change Exercises
5.08: Average Value of a Function
5.09: U-Substitution
5.10: 5.5E and 5.6E U-Substitution Exercises
5.11: More U-Substitution - Exponential and Logarithmic Functions
5.12: 5.6 Notes
5.13: Net Change
5.14: includes Proof of The Fundamental Theorem of Calculus
06: professor playground
6.0E: 6.E: Applications of Derivatives (ALL Chap 4 Exercises)
6.0E: 6.E: Derivatives (ALL Chapter 3 Exercises)
6.0E: 6.E: Integration (Exercises)
6.0E: 6.E: Limits (Exercises)
6.0E: 6.E: Open Stax 4.1 - 4.5 Exercises
6.01: 0.0 Special Symbols
6.02: The Derivative as a Function
6.03: Differentiation Rules
6.04: Product and Quotient Rules
6.05: Derivatives of Exponential and Logarithmic Functions
6.06: Limits at Infinity and Asymptotes
6.07: originalThe Definite Integral
6.08: original The Fundamental Theorem of Calculus
6.09: Original Integration Formulas and the Net Change Theorem
6.10: Geogebra Calculus