Video Tutorials to Accompany Thomas' Calculus
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| MAC 2311/2312/2313CD Lecture Series: Thomas' Calculus Tenth Edition - Early Transcendentals |
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| 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
13.1: Line Integrals
13.2: Vector Fields, Work, Circulation and Flux