Written Exam Workshop
office hours: Mondays, 7 - 8 pm (note
Week 1 (9/17) - Calculus
Topics: Limits and Series; tests of convergence
Week 2 (9/24) - Calculus
(there will be a subsitute instructor this week)
Topics: Multivariable calc; Green's / Stokes' / Divergence
Theorem. Polar / spherical coordinates. Tangents, normals,
Implicit Function Theorem. Optimization Problems.
Homework (for today): S07 #2, S06 #3, S05 #4, J05#4, S03 #5,
Week 3 (10/1) - Linear Algebra
Topics: Solving Linear Equations; Det, Trace, Characteristic
Poly; Diagonalizing; Block Matrices; Projections
Homework: S98 #5, J00 #3, J02 #1, S02 #2, S03 # 1, J07 #1
Week 4 (10/8) - Advanced Calculus
Topics: Improper Integrals, Limits of Integrals,
90-second student presentations on special types of matrices
Homework: S03 #1, J07 #2, J04 #2, J99 #2, S98 #4, S98 #3, S96 #1
Week 5 (10/15) - Complex
Topics: Conformal Maps; Liouville's Theorem; Schwartz's
Lemma; Rouche's Theorem
Homework: S07 #3, S07 #4, S07 #5, J07 #4, J06 #5, S05 #5
Week 6 (10/22) - Linear Algebra
Topics: Decompositions; Graham Schmidt; Rayleigh Quotient
Homework: J07 #4, J07 #5, S04 #3, J04 #3, J01 #4, J98 #5
Week 7 (10/29) - Advanced Calculus
Topics: Optimization, Functional Equations, Fourier Stuff,
Week 8 (11/5) - Complex
Topics: Analytic continuation, branch cuts,
Homework: J98 #4, S98 #5, S99 #4, J01 #1, J02 #5, J02 #1
Week 9 (11/12) - Advanced Calculus
Topics: More Multivariable Calculus
Homework: No specific problems assigned - we'll be going over the basic
methods. But look through the past problems and come in with any
that you have questions about.
Week 10 (11/19) - Linear Algebra
Topics: Jordan form, least squares, + assorted
Homework: J 98 #2, J 96 #4, S 96 #3, J 97 #2, J 99 #5, J 02
#2, J 06 #5
Week 11 (12/3) - Complex
Topics: Harmonic functions, Poisson Integral Formula,
Homework: S95 #4, S99 #5, J03 #4, J05 #5, S05 #4, J07 #2
Week 12 (12/10) - Review
Topics: Review of all 3 subjects + practice problems
of crucial types.
Homework: Prepare and bring to class an outline of each subject,
dividing it into different categories and types of problems.
For the types of problems you still need to review, add references and
- The most important thing for you to do is pick up a copy of the
past written exams from Tamar's office!
- Each week I'll assign 6 or so past written exam problems to do
for the next week. I strongly enocurage you to do/try them.
We'll go over the key points of the solutions in class , but if you'd
like to see the details flushed out, just stop by my office.
- Please print out the worksheet and any handouts before each
class. I'll bring a few copies in case you forget, but not enough
for the whole class.
- Give me lots of feedback about what you want covered, how fast
we're going, etc. The mix of the topics covered should depend on
what you guys want to learn.
- The best advice I can give you? Do lots and lots of
- Evan Chou's Writtens
- Andrew Suk's Writtens
- Miranda Holmes' Fall 07 Written
Buck. Spells out some of the more difficult techniques of taking
limits of integrals.
and Integral Calculus (2 Volume Set), Courant. Besides writing this
the author also founded this school.
Grad, Curl, and All That: An Informal Text on Vector Calculus, Fourth
Schey. Useful if, like me, you are completely lost when calculus
and vectors meet.