MAT 113 -- Spring 2012
Calculus II

Tue-Thu, 8:15-9:30 AM
Chambers 3234

Course Description

Instructor:
Stephen L. Davis; click here for my weekly schedule.

Text & Tools:
text cover H. Anton, I. Bivens, & S. Davis, Calculus, Early Transcendentals (9e), John Wiley & Sons, 2009.
TI-89/Titanium/NSpire-CAS graphics calculator, Texas Instruments

Instructor comments:
Mathematics 113 covers an introduction to techniques and applications of integration; infinite series including convergence tests and Taylor series; calculus on parametric and polar curves; and concepts in 3-space including vectors, lines, planes, and vector-valued functions. A plan for our progress through the topics of this course is shown in the calendar below.

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/.

Attendance:
Come to every class meeting and come on time. Missing class deprives both you of a first-hand class experience, and your classmates of your particular perspectives. I monitor attendance; missing 20% of class meetings can trigger action to encourage more faithful attendance. In any event, you are responsible for all material discussed in class, whether you are present or absent.

Evaluation:
The major components of your grade are 3 writs, 2 reviews, and the final examination. With a "writ" being the unit of measure, reviews will be worth 2 writs each, and the Final Examination will carry the weight of 3 writs. Other considerations (e.g., participation and effort on homework assignments) may provide extra seasoning in this mix. Thus, the recipe for your grade in this course is distributed as roughly (An explanation of my grading system is available in a web-based memo.)

Schedule Guesstimate: (volatile!)
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