Math H162 Winter 2005 Robert Brown

Call number 12301-6

Teacher: Robert Brown

Office
MW710 292-8888 brown.71@osu.edu

Class
times: Daily 1:30-2:18, in Baker
Systems Engineering 260

Office
Hours: Daily 12:30-1:20 and by appt, except for some days (announced later)

Website:
http://www.math.ohio-state.edu/~rbbrown/mathH162wi05

Text:
"Calculus with Analytic Geometry" 2nd ed, G. F. Simmons, McGraw Hill,
1996.

Rough
guide to daily topics. (There will
be more theory in H162 than in H161.)

**Week
1**: Jan
3 - 4: Infinite sequences and infinite series (with some epsilons and n's), Jan 5 - 6: Convergent and
divergent series, Jan 7: Series of nonnegative terms

**Week
2**: Jan
10- 12: Convergence tests, Jan 13:
Alternating series, Jan 14: Absolutely convergent series

**Week
3**: Jan
17: Holiday, Jan 18 - 19: Interval of convergence, Jan 20-21: Taylor series and
Taylor's formula with remainder

**Week
4**: Jan
24: Computations using series, Jan 25:
Series solutions to differential equations, Jan 26: Series of complex
numbers, Jan 27: Review, Jan 28: Midterm 1

**Week
5**: Jan
31 Ð Feb 2: Polar coordinates, Feb 3 - 4: Parametric equations of curves

**Week
6**: Feb 7: Vectors in two dimensions, Feb 8 - 9: Velocity and
acceleration using vectors, Feb 10: Vectors in three dimensions, Feb 11: Dot
product and cross product

**Week
7:** Feb
14: Lines and planes, Feb 15 Ð 16: Geometry using vectors, Feb 17 Ð 18: Space
curves

**Week
8**: Feb
21 - 23: Velocity and acceleration, arc length, Feb 24: Review, Feb 25: Midterm
2

**Week
9**: Feb
28 Ð 2, Sketching three-dimensional shapes, Mar 3 - 4: More geometry using
vectors

**Week
10**:
Mar 7 - 9: Catch up, Mar 10 - 11: Review

Important
dates:

Monday,
Jan 17: holiday

**Midterm
1**:
Fri, Jan 28

**Midterm
2: **Fri,
Feb 25

**FINAL
EXAM**: Mon, Mar14, 1:30 Ð 3:18 in our
classroom

*On
Tues Jan 4, we will discuss whether to have 3 midterms, which would be on
Fridays: Jan 21, Feb 11, and Mar 4.*

Homework: Due Fri Jan 7 and every Wednesday
thereafter. You are encouraged to talk to each other about the homework, but
under no circumstances may you copy from another person's paper.

Grading: Your homework will be worth 100 points
(10 points each).

The
two midterms 100 points each, and the final exam 200 points. Total: 500 points.