MTH 220Calculus I

Mathematics

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

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Contents· 101 sections

1: Functions and Graphs (Review)
1.0: Prelude to Functions and Graphs
1.0E: Exercises
1.1: Review of Functions
1.1E: Exercises
1.2: Basic Classes of Functions
1.2E: Exercises
1.3: Trigonometric Functions
1.3E: Exercises
1.4: Inverse Functions
1.4E: Exercises
1.5: Exponential and Logarithmic Functions
1.5E: Exercises
Chapter 2 Limits
2.0: Introduction
2.0E: Introduction Exercises
2.1: The Idea of Limits
2.1E The Idea of Limits
2.2: Limits of Functions
2.2E: Limits of Functions Exercises
2.3: Limit Laws and Techniques for Computing Limits
2.3E: Limit Laws and Techniques for Computing Limits EXERCISES
2.4: Infinite Limits
2.4E: Infinite Limits EXERCISES
2.5: Limits at Infinity
2.5E: Limits at Infinity EXERCISES
2.6: Continuity
2.6E: Continuity EXERCISES
2.7: The Precise Definition of a Limit
2.7E: Precise Definition of Limit EXERCISES
NEW 2.3E: Limit Laws and Techniques Exercises
Chapter 3: Derivatives
3. 10: Derivatives of Inverse Trig Functions
3.0: Prelude to Derivatives
3.0E: Exercises
3.1: Definition of the Derivative
3.1E: Definition of the Derivative (Exercises)
3.2: The Derivative as a Function
3.2E: Derivative as a Function Exercises
3.3: (and 3.4) Differentiation Rules
3.3E: Both 3.3 and 3.4 Exercises
3.5: Derivatives of Trigonometric Functions
3.5E: Trig Derivatives Exercises
3.6 E: Rates of Change Exercises
3.6: Derivatives as Rates of Change
3.7 E: Chain Rule Exercises
3.7: The Chain Rule
3.8 E: Implicit Differentiation Exercises
3.8: Implicit Differentiation
3.9 E: Derivatives Ln etc. Exercises
3.9: Derivatives of Ln General Exponential and Log Functions and Logarithmic Differentiation
section 3. 10 E: Inverse Trig Derivatives Exercises
Chapter 4: Applications of Derivatives
4.0: Prelude to Applications of Derivatives
4.0E: Exercises
4.1: Related Rates
4.1E: Related Rates Exercises
4.2: Maxima and Minima
4.2E: Maxima and Minima Exercises
4.3: Derivatives and the Shape of a Graph
4.3E: Shape of the Graph Exercises
4.4 E: Sketch the GRAPH Exercises
4.4: Graphing
4.5 E: Optimization Exercises
4.5: Optimization Problems
4.6: Linear Approximations and Differentials
4.7: The Mean Value Theorem
4.8: Antiderivatives
4.8E: AntiDerivative and Indefinite Integral Exercises
Chapter 5: Integration
5.0: Prelude to Integration
5.0E: Exercises
5.1 Approximating Area (Riemann Sum) Exercises
5.1: Approximating Areas
5.2 E: Definite Integral Intro Exercises
5.2: The Definite Integral
5.3 E: FTOC Exercises
5.3: The Fundamental Theorem of Calculus Basics
5.4: Average Value of a Function
5.4E: Average Value of a Function Exercises
5.5: U-Substitution
5.5E and 5.6E U-Substitution Exercises
5.6 Notes
5.6: More U-Substitution - Exponential and Logarithmic Functions
5.7: Net Change
5.7E: Net Change Exercises
Xtra full 5.3: includes Proof of The Fundamental Theorem of Calculus
0.0 Special Symbols
2.E: Limits (Exercises)
3.2: The Derivative as a Function
3.3: Differentiation Rules
3.4: Product and Quotient Rules
3.9: Derivatives of Exponential and Logarithmic Functions
3.E: Derivatives (ALL Chapter 3 Exercises)
4.6: Limits at Infinity and Asymptotes (full Open Stax section)
4.E: Applications of Derivatives (ALL Chap 4 Exercises)
4.E: Open Stax 4.1 - 4.5 Exercises
5.2: originalThe Definite Integral
5.3: original The Fundamental Theorem of Calculus
5.4: Original Integration Formulas and the Net Change Theorem
5.E: Integration (Exercises)