# Monroe Community College

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- MTH 155 Mathematics for Elementary Teachers I
- MTH 156 Mathematics for Elementary Teachers II
- MTH 175 Precalculus (placeholder)
- MTH 210 Calculus I
- 1: Review: Functions and Graphs
- 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 & 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 & Techniques Exercises

- Chapter 3: Derivatives
- 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: Derivatives as Rates of Change
- 3.6 E: Rates of Change Exercises
- 3.7: The Chain Rule
- 3.7 E: Chain Rule Exercises
- 3.8: Implicit Differentiation
- 3.8 E: Implicit Differentiation Exercises
- 3.9: Derivatives of Ln, General Exponential & Log Functions; and Logarithmic Differentiation
- 3.9 E: Derivatives Ln, etc. Exercises
- 3. 10: Derivatives of Inverse Trig Functions
- 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: Graphing
- 4.4 E: Sketch the GRAPH Exercises - still to be modified
- 4.5: Optimization Problems
- 4.5 E: Optimization Exercises
- 4.6: Linear Approximations and Differentials
- 4.7: The Mean Value Theorem
- 4.8: Antiderivatives
- 4.8E: AntiDerivative & Indefinite Integral Exercises

- Chapter 5: Integration
- 5.0: Prelude to Integration
- 5.0E: Exercises
- 5.1: Approximating Areas
- 5.1 Approximating Area (Riemann Sum) Exercises
- 5.2: The Definite Integral
- 5.2 E: Definite Integral Intro Exercises
- 5.3: The Fundamental Theorem of Calculus Basics
- 5.3 E: FTOC Exercises
- 5.4: Average Value of a Function
- 5.4E: Average Value of a Function Exercises
- 5.5: U-Substitution
- 5.5E & 5.6E U-Substitution Exercises
- 5.6: More U-Substitution - Exponential and Logarithmic Functions
- 5.6 Notes
- 5.7: Net Change
- 5.7E: Net Change Exercises
- Xtra full 5.3: includes Proof of The Fundamental Theorem of Calculus

- professor playground
- 2.3: The Limit Laws
- 2.E: Limits (Exercises)
- 3.2: The Derivative as a Function
- 3.3: Differentiation Rules
- 3.4: Product & Quotient Rules
- 3.9: Derivatives of Exponential and Logarithmic Functions
- 3.E: Derivatives (ALL Chapter 3 Exercises)
- 4.6: Limits at Infinity and Asymptotes
- 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)

- MTH 211 Calculus II
- Calculus I Review
- Chapter 5: Integration
- 4.8: Antiderivatives
- 4.8E: Antiderivative and Indefinite Integral Exercises
- 5.0: Prelude to Integration
- 5.1: Approximating Areas
- 5.1E: Approximating Areas (Exercises)
- 5.2: The Definite Integral
- 5.3: The Fundamental Theorem of Calculus
- 5.4: Integration Formulas and the Net Change Theorem
- 5.5: Substitution
- 5.5E and 5.6E U-Substitution Exercises
- 5.6: Integrals Involving Exponential and Logarithmic Functions
- 5.7: Integrals Resulting in Inverse Trigonometric Functions and Related Integration Techniques
- 5.7E: Exercises for Integrals Resulting in Inverse Trigonometric Functions
- 5.E: Integration (Exercises)
- Chapter 5 Exercises

- Chapter 6: Applications of Integration
- 6.0: Prelude to Applications of Integration
- 6.1: Areas between Curves
- 6.1E: Exercises for Section 6.1
- 6.2: Determining Volumes by Slicing
- 6.2E: Exercises for Volumes of Common Cross-Section and Disk/Washer Method
- 6.3: Volumes of Revolution: The Shell Method
- 6.3E: Exercises for the Shell Method
- 6.4: Arc Length and Surface Area
- 6.5: Using Integration to Determine Work
- 6.5b: More Physical Applications of Integration
- 6.5E: Exercises on Work
- 6.6: Moments and Centers of Mass
- 6.7: Integrals, Exponential Functions, and Logarithms
- 6.8: Exponential Growth and Decay
- 6.9: Calculus of the Hyperbolic Functions
- 6.E: Applications of Integration (Exercises)

- Chapter 7: Techniques of Integration
- 7.0: Prelude to Techniques of Integration
- 7.1: Integration by Parts
- 7.1E: Exercises for Integration by Parts
- 7.2: Trigonometric Integrals
- 7.2E: Exercises for Trigonometric Integrals
- 7.3: Trigonometric Substitution
- 7.3E: Exercises for Trigonometric Substitution
- 7.4: Partial Fractions
- 7.4E: Exercises for Integration by Partial Fractions
- 7.5: Other Strategies for Integration
- 7.6: Numerical Integration
- 7.7: Improper Integrals
- 7.E: Techniques of Integration (Exercises)

- Chapter 8: Introduction to Differential Equations
- Chapter 9: Sequences and Series
- Chapter 10: Power Series
- Appendices

- MTH 212 Calculus III
- Chapter 11: Vectors and the Geometry of Space
- 11.1: Vectors in the Plane
- 11.1E: Exercises for Vectors in the Plane
- 11.2: Vectors in Space
- 11.2E: Exercises for Vectors in Space
- 11.3: The Dot Product
- 11.3E: Exercises for The Dot Product
- 11.4: The Cross Product
- 11.4E: Exercises for The Cross Product
- 11.5: Equations of Lines and Planes in Space
- 11.5E: Exercises for Equations of Lines and Planes in Space
- 11.6: Quadric Surfaces
- 11.6E: Exercises for Quadric Surfaces
- 11.7: Cylindrical and Spherical Coordinates
- 11.7E: Exercises for Cylindrical and Spherical Coordinates
- Chapter 11 Review Exercises

- Chapter 12: Vector-valued Functions
- 12.1: Vector-Valued Functions and Space Curves
- 12.1E: Exercises for Section 12.1
- 12.2: The Calculus of Vector-Valued Functions
- 12.2E: Exercises for Section 12.2
- 12.3: Motion in Space
- 12.3E: Exercises for Section 12.3
- 12.4: Arc Length and Curvature
- 12.4E: Exercises for Section 12.4
- 12.5: Acceleration and Kepler's Laws
- 12.5E: Exercises for Section 12.5
- 12.E: Chapter 12 Review Exercises

- Chapter 13: Functions of Multiple Variables and Partial Derivatives
- 13.0: Introduction to Functions of Multiple Variables
- 13.1: Functions of Multiple Variables
- 13.1b: Functions of Multiple Variables
- 13.1E: Functions of Multiple Variables (Exercises)
- 13.2: Limits and Continuity
- 13.2E: Exercises for Limits and Continuity
- 13.3: Partial Derivatives
- 13.3E: Partial Derivatives (Exercises)
- 13.4: Tangent Planes, Linear Approximations, and the Total Differential
- 13.4E: Tangent Planes, Linear Approximations, and the Total Differential (Exercises)
- 13.5: The Chain Rule for Functions of Multiple Variables
- 13.5E: The Chain Rule for Functions of Multiple Variables (Exercises)
- 13.6: Directional Derivatives and the Gradient
- 13.6E: Directional Derivatives and the Gradient (Exercises)
- 13.7: Taylor Polynomials of Functions of Two Variables
- 13.7E: Taylor Polynomials if Functions of Two Variables (Exercises)
- 13.8: Optimization of Functions of Several Variables
- 13.8E: Optimization of Functions of Several Variables (Exercises)
- 13.9: Constrained Optimization
- 13.10: Lagrange Multipliers
- 13.10E: Exercises for Lagrange Multipliers

- Chapter 14: Multiple Integration
- 14.1: Iterated Integrals and Area
- 14.1E: Iterated Integrals and Area (Exercises)
- 14.2a: Double Integrals Over Rectangular Regions
- 14.2aE: Double Integrals Part 1 (Exercises)
- 14.2b: Double Integrals Over General Regions
- 14.2bE: Double Integrals Part 2 (Exercises)
- 14.3: Double Integration with Polar Coordinates
- 14.3b: Double Integrals in Polar Coordinates
- 14.3E: Double Integrals in Polar Coordinates (Exercises)
- 14.4: Triple Integrals
- 14.4E: Triple Integrals (Exercises)
- 14.5: Triple Integrals in Cylindrical and Spherical Coordinates
- 14.6: Calculating Centers of Mass and Moments of Inertia
- 14.7: Change of Variables in Multiple Integrals (Jacobians)
- 14E: Exercises for Chapter 14

- Chapter 15: Vector Fields, Line Integrals, and Vector Theorems
- 15.0: Introduction to Vector Field Chapter
- 15.1: Vector Fields
- 15.1E: Vector Fields (Exercises)
- 15.2: Line Integrals
- 15.2E: Line Integrals (Exercises)
- 15.3: Conservative Vector Fields
- 15.4: Green's Theorem
- 15.5: Divergence and Curl
- 15.6: Surface Integrals
- 15.7: Stokes' Theorem
- 15.8: The Divergence Theorem
- 15E: Vector Calculus (Exercises)

- Appendices

- Chapter 11: Vectors and the Geometry of Space

Mon, 07 Jan 2019 20:18:05 GMT

Monroe Community College

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