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Video Tutorials to Accompany Thomas' Calculus

 

 

  		 MAC 2311/2312/2313CD Lecture Series: Thomas' Calculus Tenth Edition - Early Transcendentals  

 

 

  

   

 The videos listed below require Real Player in order to be viewed. For best results, use a broadband connection to the internet. Real Player may be downloaded with one of the following links.  

 

  Video 1   
 1.1: Rates of Change and Limits
 1.2: Finding Limits and One-Sided Limits
 

  Video 2   
 1.3: Limits Involving Infinity
 1.4: Continuity
 

  Video 3   
 1.5: Tangent Lines
 

  Video 4   
 2.1: The Derivative as a Function
 

  Video 5   
 2.2: The Derivative as a Rate of Change
 

  Video 6   
 3.1: Extreme Values of Functions
 3.2: The Mean Value Theorem and Differential Equations
 3.3: The Shape of a Graph
 

  Video 7   
 P7: Modeling Change
 3.4: Graphical Solutions of Autonomous Differential Equations
 

  Video 8   
 4.3: Estimating with Finite Sums
 4.4: Riemann Sums and Definite Integrals
 

  Video 9   
 4.1: Indefinite Integrals, Differential Equations, and Modeling
 4.5: The Mean Value and Fundamental Theorems
 

  Video 10   
 5.1: Volumes by Slicing and Rotation About an Axis
 5.3: Lengths of Plane Curves
 

  Video 11   
 6.1: Logarithms
 6.2: Exponential Functions
 

  Video 12   
 6.4: First-Order Separable Differential Equations
 6.5: Linear First-Order Differential Equations
 

  Video 13   
 6.6: Euler's Method; Population Models
 

  Video 14   
 7.1: Basic Integration Formulas
 7.2: Integration by Parts
 7.5: Integral Tables, Computer Algebra Systems, and Monte Carlo Integration
 

  Video 15   
 8.1: Limits of Sequences of Numbers
 8.3: Infinite Series
 

  Video 16   
 8.6: Power Series
 8.7: Taylor and Maclaurin Series
 

  Video 17   
 9.1: Vectors in the Plane
 9.2: Dot Products
 

  Video 18   
 9.3: Vector-Valued Functions
 9.4: Modeling Projectile Motion
 

  Video 19   
 10.1: Cartesian (Rectangular) Coordinates and Vectors in Space
 10.2: Dot and Cross Products
 10.3: Lines and Planes in Space
 

  Video 20   
 10.5: Vector-Valued Functions and Space Curves
 10.6: Arc Length and the Unit Tangent Vector T
 10.7: The TNB Frame; Tangential and Normal Components of Acceleration
 

  Video 21   
 11.1: Functions of Several Variables
 11.2: Limits and Continuity in Higher Dimensions
 11.3: Partial Derivatives
 

  Video 22   
 11.4: The Chain Rule
 11.5: Directional Derivatives, Gradient Vectors, and Tangent Planes
 11.6: Linearization and Differentials
 

  Video 23   
 11.7: Extreme Values and Saddle Points
 11.8: Lagrange Multipliers
 

  Video 24   
 12.1: Double Integrals
 

 Video 25   

13.1: Line Integrals

13.2: Vector Fields, Work, Circulation and Flux