Homework Assignment
Week 1 (Sept. 24 - 28) (due by Wednesday of Week 2)
Read Sections 1-3. Do the following problems:
Section 1: 2, 4, 6, 8, 11.
Section 2: 1, 3, 6, 7.
Section 3: 5, 6.
Monday: intrioduction, induction.
Wednesday: rational numbers.
Friday: real numbers, least upper bound.
Week 2 (Oct. 1 - 5) (due by Wednesday of Week 3)
Read Sections 4-5, 7. Do the following problems:
Section 4: 1-4g),h),i),j),k),l),m),n); 5, 6, 8, 11, 12, 14;
Section 5: 1, 2,
Section 7: 3(righthand column) b),d), f), h),j),l),n),p),r),t); 4
Monday: least upper bound Axiom of complteness
Wednesday: Archmidean property, destiny of Q.
Friday: Limits of sequences
Week 3 (Oct. 8 - 12) (due by Wednesday of Week 4)
Read Sections 8, 9. Do the following problems:
HomeWork3
Monday: Limit of sequences
Wednesday: Limit Theorems for sequences
Friday: Limit Theorems for sequences. 1st 25min Quiz
Week 4 (Oct. 15 - 19) (due by Wednesday of Week 5)
Read Section 9, 10. Do the following problems:
HomeWork4
Monday: Limit Theorems and Infinite limites
Wednesday: Monotone sequnece. limsup and lim inf
Friday: limsup and lim inf, Cauchy.
Week 5 (Oct. 22 - 26) (due by Wednesday of Week 6)
Read Sections 10, 11. Do the following problems:
HomeWork5
Monday: Cauchy and subsequences.
Wednesday: subsequences
Friday: Midterm review
Week 6 (Oct. 29 - Nov. 2) (due by Wednesday of Week 7)
Read Sections 11, 12. Do the following problems:
HomeWork6
Monday: Midterm
Wednesday: subsequential limits
Friday: liminf and limsup
Week 7 (Nov. 5 - 9) (due by Wednesday of Week 8)
Read Sections 12, 14 Do the following problems:
HomeWork7
Monday: liminf and limsup, sums
Wednesday: infinite series, Comparison test
Friday: Ratio and Root test, integral test.
Week 8 (Nov. 11 - 16) (due Wednesday of Week 9)
Read Sections 15, 17. Do the following problems:
HomeWork8
Monday: Alternating test.
Wednesday: Continuous functions.
Friday: 2nd Quiz. Continuos funcitons
Week 9 (Nov. 19 - 21) (Thanksgiving)
Read Sections 17. Do the following problems:
HomeWork9
Monday: Coninuous functions.
Wednesday: Understand infinity: a review
Friday: Thanksgiving Holiday
Week 10 (Nov. 26 - 30) Deadweek
Read Sections 17, 18.
Monday: Propoerties of continuous functions
Wednesday: Propoerties of continuous functions
Friday: Final Review.