You should enter this course with a solid foundation in Calculus I, including: knowledge of particular function types: trigonometric, exponential, and logarithmic; differentiation and basic antidifferentiation skills with these function types; the definition and applications of the derivative; the definite integral as a limit of Riemann sums; and appreciation for the major theorems of Calculus I: the Intermediate Value Theorem, the Mean Value Theorem, and the Fundamental Theorem of Calculus. You should complete this course with the background to be a successful student in the succeeding course, Calculus III.
There will be two evening reviews and and three take-home writs as indicated below. Reviews are scheduled on Tuesday evenings, 8-10 pm, in Chambers 3234. If a Tuesday evening review presents a particular burden for your schedule, see me and we will negotiate an alternative time (preferably on Tuesday afternoon). Writs will be due at the start of the next class.
Collaboration on homework is encouraged, though anything you present or turn in should represent your understanding of the material. Although homework is not a formal part of your evaluation, a record is kept of your participation in this necessary ingredient of a successful mathematical experience. Homework will be collected on Mondays (by 12:30 pm) and on Thursdays (in class). (A fuller statement on homework evaluation is in a web-based memo.)
Note: Homework assignments and other course announcements will be posted on our class Moodle site, access this via http://moodle.davidson.edu/.
|Class Dates||Section Discussed||Event||Chapter Topic|
|Jan 17, 19||10.1||5.3, 5.9||10: Parametric Curves; 5: Substitution|
|Jan 24, 26||6.1, 6.2||7.7||6: Area & Volume; 7: Numeric Integration|
|Jan 31, Feb 2||..||6.4, 6.5||End-of-Week Writ #1||6: Arc Length & Surface Area|
|Feb 7, 9||10.2||7.3, 10.3||10: Polar Curves|
|Feb 14, 16||6.6||7.2, 7.6||6: Work; 7: Integration by Parts|
|Feb 21, 23||prepare||7.5||Tuesday Review #1||7: Partial Fractions|
|Feb 28, Mar 1||8.2||7.8||8: Separable Diff. Equations; 7: Improper Integrals|
|Mar 6, 8||no class||no class||Spring Break|
|Mar 13, 15||9.1, 9.2||9.3, 9.4||9: Sequences & Series|
|Mar 20, 22||9.5||9.6||Mid-Week Writ #2||9: Convergence Tests; Alternating Series|
|Mar 27, 29||9.7||9.8||9: Taylor Polynomials & Series|
|Apr 3, 5||prepare||9.9||Tuesday Review #2||9: Taylor Series Convergence|
|Apr 10, 12||no class||9.10||Easter Break||9: Manipulating Series|
|Apr 17, 19||11.1, 11.2||11.3||11: 3D Space; Vectors; Dot Product & Projection|
|Apr 24, 26||11.4, 11.5||11.6||End-of-Week Writ #3||11: Cross Products; Lines; Planes|
|May 1, 3||10.4||11.7||10: Conic Sections; 11: Quadric Surfaces|
|May 8, 10||debrief||Reading Day|
|May 11--16||Final Examination|