MATH 1613

Tech Calc 2

Dr. Steve Armstrong

PowerPoint Lectures

Chapter 6   Integration

Integration Demo

bullet Lesson 6.1 Area and the Integral
bullet Lesson 6.2 The Fundamental Theorem of Calculus
bullet Lesson 6.3 The Indefinite Integral
bullet Lesson 6.4 The Area Between Two Curves
bullet Lesson 6.5 Numerical Integration

Chapter 7   Applications of Integration

bullet Lesson 7.1 Average Values, Other Antiderivative Applications
bullet Lesson 7.2 Volumes of Revolution: Disk and Washer methods
bullet Lesson 7.3 Volumes of Revolution: Shell Method
bullet Lesson 7.4 Arc Length and Surface Area
bullet Lesson 7.5 Centroids
bullet Lesson 7.6 Moments of Inertia
bullet Lesson 7.7 Work and Fluid Pressure

Chapter 9    Techniques of Integration

bullet Lesson 9.1 The General Power Formula
bullet Lesson 9.2 Basic Logarithmic, Exponential Integrals
bullet Lesson 9.3 Basic Trig and Hyperbolic Integrals
bullet Lesson 9.4 More Trigonometric Integrals
bullet Lesson 9.5 Integrals Related to Inverse Trig and Inverse Hyperbolic Functions
bullet Lesson 9.6 Trigonometric Substitution
bullet Lesson 9.7 Integration by Parts
bullet Lesson 9.8 Using Integration Tables

Chapter 10    Parametric Equations,
Polar Coordinates

bullet Lesson 10.1 Parametric Equations
bullet Lesson 10.2 Derivatives of Parametric Equations
bullet Lesson 10.3 Introduction to Vectors
bullet Lesson 10.4 Derivatives of Vectors
bullet Lesson 10.5 Polar Coordinates
bullet Lesson 10.6 Conic Sections in Polar Coordinates
bullet Lesson 10.7 Differentiation in Polar Coordinates
bullet Lesson 10.8 Arc Length and Surface Area Revisited
bullet Lesson 10.9 Intersection of Graphs and Polar Coordinates
bullet Lesson 10.10 Area in Polar Coordinates

 

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