Week | Monday | Wednesday | Thursday | Friday |
1 | Jan 6: Notes Introduction to analysis |
Jan 8: Notes The natural numbers; induction |
Jan 9 No homework due |
Jan 10: Notes The integers and rationals |
2 | Jan 13: Notes Cauchy sequences of rationals |
Jan 15: 1-12 The real numbers |
Jan 16 |
Jan 17: Notes Sets and functions Homework 1 due |
3 | Jan 20 Martin Luther King day |
Jan 22: pp. 24-28 Cardinality of sets |
Jan 23 |
Jan 24: pp. 29-30 Countable and uncountable sets Homework 2 due |
4 | Jan 27: pp. 47-55 Sequences and convergence |
Jan 29: pp. 55-57 Limit points; lim sup; lim inf |
Jan 30 |
Jan 31 First Midterm Homework 3 due |
5 | Feb 3: pp. 57-61 Standard sequences; series; absolute convergence |
Feb 5: pp. 61-65 Some convergence tests |
Feb 6 |
Feb 7: pp. 65-69 The root and ratio tests Homework 4 due |
6 | Feb 10: Notes Subsequences: Bolzano-Weierstrass theorem |
Feb 12: pp. 83-85 Limiting values of functions |
Feb 13 |
Feb 14: pp. 85-89 Continuity Homework 5 due |
7 | Feb 17 President's day |
Feb 19: pp. 89-93 Maximum principle; intermediate value theorem |
Feb 20 |
Feb 21: 90-91 Uniform continuity Homework 6 due |
8 | Feb 24: pp. 103-106 Differentiability |
Feb 26: Notes Properties of differentiable functions |
Feb 27 |
Feb 28 Second Midterm Homework 7 due |
9 | Mar 3: pp. 120-123 The Riemann integral: definition |
Mar 5: pp. 123-127 The Riemann integral: existence |
Mar 6 |
Mar 7: pp. 128-133 The Riemann integral: properties Homework 8 due |
10 | Mar 10: pp. 107-108 Mean value theorem |
Mar 12: pp. 133-134 Fundamental theorem of calculus |
Mar 13 |
Mar 14 Leeway and review Homework 9 due |
Finals Week |
Mar 19, 11:30 - 2:30 pm Final (exam code 05) - Boelter 5249 |