18.100A Fall 2012: Assignment 7
Directions: List collaborators; do not consult assignments from previous semesters; cite
relevant Theorems or Examples.
Reading: 8.1, 8.2 (omit Abel), 8.3; 8.4 (8.4: statements only, omit proofs)
Power series: radius of con
18.100A Fall 2012: Assignment 4
Directions: You can collaborate, but should list those you worked with and write up
the solutions independently (i.e., not copying but thinking them through by yourself).
Consulting solutions to problem sets of previous sem
18.100A Fall 2012: Assignment 2
You can collaborate, but should list those you worked with, and should write up the
solutions independently (i.e., not copying but thinking them through by yourself).
Consulting solutions to problem sets of previous semeste
18.100A Fall 2012: Assignment 3
Directions: You can collaborate, but should list those you worked with and write up
the solutions independently (i.e., not copying but thinking them through by yourself).
Consulting solutions to problem sets of previous sem
18.100A Practice Problems for Exam 2 F-12 120 minutes (exam is 80 min.)
Directions: You can only use the book; cite relevant theorems when asked to.
1. A function f (x) has three distinct zeros a0 < a1 < a2 on an interval I , and in addition
f (a2 ) = 0.
18.100A Practice Questions for Exam 1
This could take 2 hours or more to complete and check over; the actual exam 1 will be
shorter and easier, about 2/3 the length. You can use the material in the book, Chs. 1-8,
but no other material (notes, problem set
18.100A Fall 2012: Assignment 11
Directions: Same as before: write up solutions independently if you collaborate; list
collaborators, dont consult solutions from previous semesters; cite theorems or examples to
justify arguments which use them.
Reading: 1
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18.100A Fall 2012: Assignment 10
Directions: Same as before you can collaborate, but write up solutions independently
and list collaborators; no consulting previous semesters solutions; cite theorems being used.
Reading: 11.4, 11.5
Discontinuity types, co
18.100A Assignment 1
Directions: This rst assignment is diagnostic, to give some idea of how well you can
write a coherent argument in decent style, nd errors, use basic calculus and elementary
mathematics, read a proof in the book and adapt it to an anal
18.100A Fall 2012: Assignment 6
Directions: List collaborators, dont consult solutions to problem sets from previous semesters.
Reading: Mon.: 7.1-.2, 7.4-.5 Wed.: 7.3, 7.6-.7
Innite series; convergence tests; absolute and conditional convergence.
Problem
18.100A Introduction to Analysis Practice Final 3 hours
Directions. You can use the textbook, but no other material.
To justify the arguments, quote theorems, by name or number, verifying their hypotheses
where necessary.
Work problems totalling 100. You
18.100A Fall 2012: Assignment 8
Directions: Dont consult solutions to previous semesters assignments ; if you collaborate, write up the solutions independently and list collaborators.
Reading: Chaps. 9, 10
Chapter 9 should be review of things you have had
18.100A Fall 2012: Assignment 9
Directions: You can collaborate, but must write up the solutions independently, i.e.,
thinking through the problem by yourself and expressing it in your own words. Consulting
solutions to problem sets of previous semesters