Lectures (Math 126A - Summer 2005)

Below are the topics we've covered so far, listed by date. Sections from the Taylor Notes are preceded by TN. All other sections are from the Stewart text. I am planning to cover topics in the order listed on the Math 126 Materials Website. You can read ahead by one section to prepare for the next day's lecture.

• 8/18: Review problems.
• 8/17: Homework questions from 15.3 & 15.4.
• 8/16: Review worksheet, and problem 15.4 #36.
• 8/15: 15.4 Double integrals in polar coordinates.
• 8/11: 15.3 Double integrals over more general regions.
• 8/10: 15.2 Iterated integrals over rectangles.
• 8/09: 15.1 Approximating double integrals with Riemann sums.
• 8/08: 14.4 Linear approximations and differentials, intro to computing volumes.
• 8/04: 14.3 & 14.4 More partial derivatives, tangent planes.
• 8/03: 14.1 & 14.3 Level curves, partial derivatives.
• 8/02: 13.4 & 14.1 T and N components of acceleration, functions of two variables.
• 8/01: 13.3 Curvature, normal and binormal vectors.
• 7/28: 13.4 & 13.3 Circular motion, arclength, curvature.
• 7/27: 13.2 & 13.4 Vector derivatives and integrals, velocity and acceleration.
• 7/26: 10.3 & 13.2 Tangents to polar curves, derivatives of vector functions.
• 7/25: 10.3 Polar Coordinates.
• 7/21: Homework questions and review.
• 7/20: Review worksheet.
• 7/19: 10.2 Areas and arclengths of parametric curves.
• 7/18: 10.1/13.1 & 10.2 Examples, tangent lines of parametric curves.
• 7/14: 10.1 & 13.1 Parametric equations/Vector functions
• 7/13: 12.5 Lines and planes, planes and lines.
• 7/12: 12.4 & 12.5 Computations with cross products, equations of lines.
• 7/11: Review & 12.4 Convergence tests (again), 3-D graphs, and more about cross products.
• 7/07: 12.3 & 12.4 Projections of vectors, work, the cross product.
• 7/06: 12.3 The dot product.
• 7/05: 12.2 Vectors, vectors, vectors.
• 6/30: 12.1 Three Dimensions!!!
• 6/29: Examples of using Taylor series, discussed a few homework problems.
• 6/28: TN 3.2 & 3.3 Radius of convergence, operations on Taylor series.
• 6/27: TN 2.2 & 3.1 The Integral Test, intro to Taylor series.
• 6/23: TN 2.2 Convergence of infinite series.
• 6/22: TN 2.1 Comparison Test and Absolute Convergence Test for improper integrals.
• 6/21: TN 1.2 Taylor's Inequality, plus an intro to infinite series and improper integrals.
• 6/20: TN 1.1 Taylor Polynomials.