Practical stuff

Remember to do: "First Day Survey: Prior Knowledge #FinAid"

2.3 Differentiation

(Defining the derivative)

2.5 Properties of the Derivative

(Chain Rule)

5.1-5.3 Double Integration

5.1-5.3 Double Integration

(Fubini's Theorem, Elementary Regions)

5.4 Changing the Order of Integration

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)

(6.3 Applications)

Preparation for midterm 1

7.1 The Path Integral 

7.2 Line Integrals

7.2 Line Integrals

7.3 Parametrized Surfaces

7.4 Area of a Surface

7.4 Area of a Surface

7.5 Integrals of Scalar Functions over Surfaces

7.6 Surface Integrals of Vector Fields

(We will cover intuition for these in next lecture)

7.6 Surface Integrals of Vector Fields

(Oriented surfaces)

4.4 Divergence and Curl

8.1 Green's Theorem

(Area version of Green's Theorem)

8.2 Stokes' Theorem

8.1 Green's Theorem

8.2 Stokes' Theorem

(Stokes' Theorem consequences)

8.4 Gauss' Theorem

Preparation for the final exam