Date | Class Topic | Reading (Damiano and Freije) | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
8/28 | Course Introduction | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
8/30 | Cartesian coordinates in R3 | 1.1 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
9/2 | Subsets of R3 1.1
| 9/3 | Vectors | 1.2
| 9/4 | Begin lines and planes | 1.2
| 9/6 | Dot products and orthogonality (Quiz 1) | 1.3
| 9/9 | Projections, cross products in R3 | 1.3
| 9/10 | More on lines and planes in R3 | 1.4
| 9/11 | Lab Day 1: Getting started in Maple, graphing in
R3 | 1.4
| 9/13 | Parametric curves (Quiz 2) | 2.1
| 9/16 | More on parametric curves | 2.1
| 9/17 | Derivatives | 2.2
| 9/18 | Parametric curves, the chain rule | 2.2
| 9/20 | Modeling with parametric curves (Quiz 3) | 2.3
| 9/23 | Vector fields and flow lines | 2.4
| 9/24 | Modeling with vector fields | 2.5
| 9/25 | Lab Day 2: Modeling with vector fields | 2.5
| 9/27 | Exam I | (covers material from 8/28 through 9/23)
| 9/30 | Graphs and contours | 3.1
| 10/1 | More on graphs and contours | 3.1
| 10/2 | Directional and Partial derivatives | 3.2
| 10/4 | Higher order partial derivatives (Quiz 4) | 3.2
| 10/7 | More on partial derivatives | 3.2
| 10/8 | Open and closed sets, limits | 3.3
| 10/9 | Continuity | 3.4
| 10/11 | Differentiability (Quiz 5) | 3.5
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| 10/14, 15, 16, 18 | No Class -- Columbus Day Break | 3.5
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| 10/21 | Chain Rule and gradient | 4.1
| 10/22 | Critical points for functions of several variables | 4.1
| 10/23 | Lab Day 3: More on critical points and the gradient | 4.2
| 10/25 | Algebraic classification of critical points (Quiz 6) | 4.2
| 10/28 | The Hessian Criterion | 4.2
| 10/29 | Constrained optimization and Lagrange multipliers | 4.3
| 10/30 | Lab Day 4: More on Lagrange multipliers | 4.3
| 11/1 | Exam II | (cover material from 9/24 through 10/28)
| 11/4 | Riemann sums | 5.1
| 11/5 | Double integrals over rectangles | 5.2
| 11/6 | Double integrals over non-rectangular regions | 5.2
| 11/8 | Polar coordinates (Quiz 7) | 5.3
| 11/11 | Polar double integrals | 5.3
| 11/12 | Triple integrals | 5.4
| 11/13 | Cylindrical coordinates | 5.5
| 11/15 | Cylindrical triple integrals (Quiz 8) | 5.5
| 11/18 | Spherical coordinates | 5.6
| 11/19 | Integration in spherical coordinates | 5.6
| 11/20 | Path integrals | 6.1
| 11/22 | Line integrals (Quiz 9) | 6.2
| 11/25 | Line integrals over closed curves and Green's theorem | 6.3
| 11/26 | Exam III | (covers material from 11/1 through 11/22)
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| 11/27,29 | No Class -- Thanksgiving Break |
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| 12/2 | More on Green's theorem | 6.3
| 12/3 | Lab Day 5: Parametric surfaces | 7.1
| 12/4 | Surface integrals and Gauss's theorem | 7.2
| 12/6 | Course wrap-up | 7.3
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The final exam for this course will be given at the scheduled time for 9:00MWF classes.
Last modified: August 6, 2013