Mathematics Math21a
Fall 2006

Course wide Supplements

• Distance Formulas

• PDE's I
• PDE's II

Section handouts by Janet Chen

• Section Handouts Janet Chen (external page)

Section handouts by Sug Woo Shin

• Oct 2
• Distance formulas
• Oct 11
• Oct 13
• Oct 25
• Nov 8
• Nov 20
• Nov 22

Section handouts by Ilia Zharkov

• Problems 1
• Problems 2
• Problems 3
• Problems 4
• Problems 5
• Problems 6
• Problems 7
• Problems 8
• Problems 9
• Problems 10
• Problems 11
• Problems 12
• Problems 13
• Problems 14
• Problems 15
• Problems 16
• Problems 17

Section handouts by Oliver Knill

• Completion
• Distance
• Vectors
• Cross product
• Lines and Planes
• Arc length
• Spherical coordinates
• Chain rule
• Tangent line
• Linearization
• Critical points
• The Gauss problem
• On double integrals
• Spherical coordinates (Olivers haircut)
• Fundamental theorem of line integrals

To 1. Week

• Coordinates
• Vectors and dot product
• Cross product

To 2. Week

• Coordinates
• Curves
• Arc length

To 3. Week

• Curvature
• Functions of two variables

To 4. Week

• Other coordinates
• Parametrisation of surfaces

To 5. Week

• Partial derivatives
• Chain rule

To 6. Week

• The gradient
• Tangent lines and planes
• The skull surface (Halloween)
• Linearization

To 7. Week

• Critical points
• Lagrange multipliers

To 8. Week

• Polar integration
• 2D integrals
• 2d integrals II

To 9. Week

• 3D integrals
• Cylindrical integrals

To 10. Week

• Spherical integrals

To 11. Week

• Fundamental theorem of line integrals
• Greens theorem
• Curl and Div

To 12. Week