Practical stuff
Remember to do: "First Day Survey: Prior Knowledge #FinAid"
2.3 Differentiation
(Defining the derivative)
Remember to do: "First Day Survey: Prior Knowledge #FinAid"
2.3 Differentiation
2.5 Properties of the Derivative
2.5 Properties of the Derivative (cont.)
(Chain Rule)
5.1-5.3 Double Integration
(Cavalieri's Principle)
5.1-5.3 Double Integration
(Cavalieri's Principle)
(Fubini's Theorem)
5.1-5.3 Double Integration (cont.)
(Integrals over Elementary Regions)
5.4 Changing the Order of Integration
(Mean Value Inequality/Equality)
5.4 Changing the Order of IntegrationÂ
(Mean Value Inequality/Equality)
5.5 The Triple Integral
5.5 The Triple Integral
6.1 The Geometry of Maps from R^2 to R^2
6.2 The Change of Variables Theorem
(Polar, cylindrical and spherical coordinates)
6.2 The Change of Variables Theorem
(Polar, cylindrical and spherical coordinates)
4.3 Vector Fields
Preparation for the midterm
4.3 Vector Fields
7.1 The Path Integral
7.1 The Path Integral (cont.)
7.2 Line Integrals
((Re-)parametrization and Curves)
7.2 Line Integrals
7.3 Parametrized Surfaces
7.3 Parametrized Surfaces
7.4 Area of a Surface
7.4 Area of a Surface
7.5 Integrals of Scalar Functions over Surfaces
7.5 Integrals of Scalar Functions over Surfaces
7.6 Surface Integrals of Vector Fields
7.6 Surface Integrals of Vector Fields
(Oriented surfaces)
4.4 Divergence and Curl
4.4 Divergence and Curl
8.1 Green's Theorem
8.1 Green's Theorem
Preparation for midterm 2
8.1 Green's Theorem (last case)
8.2 Stokes' Theorem
8.2 Stokes' Theorem
8.4 Gauss' Theorem
8.2 Stokes' Theorem (last example)
8.4 Gauss' Theorem
8.4 Gauss' Theorem
(Gauss' Law)
(Gauss' Law)
8.3 Conservative Fields
Preparation for the final exam