| Week | Monday | Wednesday | Thursday | Friday |
| 1 | Mar 31: pp. 30-32 Metric spaces; examples |
Apr 2: pp. 48-55 Convergent sequences in metric spaces |
Apr 3 No homework due |
Apr 4: pp. 32-36 Basic topology of metric spaces |
| 2 | Apr 7: pp. 36-40 Compact sets |
Apr 9: pp. 83-89 Continuous functions on metric spaces |
Apr 10 |
Apr 11: pp. 89-93 Continuity and compactness Homework 1 due |
| 3 | Apr 14: pp. 143-147 Sequences and series of functions |
Apr 16: pp. 147-151 Uniform convergence, and continuity |
Apr 17 |
Apr 18: pp. 151-152 Uniform convergence, and integration Homework 2 due |
| 4 | Apr 21: pp. 152-154 Uniform convergence, and differentiation |
Apr 23: pp. 159-165 Uniform approximation by polynomials |
Apr 24 |
Apr 25 First Midterm Homework 3 due |
| 5 | Apr 28: pp. 172-178 Power series |
Apr 30: pp. 172-178 More on power series |
May 1 |
May 2: pp. 179-184 Special functions Homework 4 due |
| 6 | May 5: pp. 185-192 Fourier series |
May 7: pp. 185-192 More on Fourier series |
May 8 | May 9: pp. 204-211 Review of Linear Algebra Homework 5 due |
| 7 | May 12: pp. 204-211 Linear transformations |
May 14: pp. 211-215 Functions of several variables; differentiation |
May 15 |
May 16: 215-223 Partial and directional derivatives Homework 6 due |
| 8 | May 19: pp. 299-302 Measurable sets; sigma algebras |
May 21: 302-304 Outer measure |
May 22 |
May 23 Second Midterm Homework 7 due |
| 9 | May 26 Memorial day |
May 28: pp. 304-309 Construction of Lebesgue measure |
May 29 |
May 30: pp. 310-314 Simple functions; measurable functions Homework 8 due |
| 10 | Jun 2: pp. 314-318 The Lebesgue integral |
Jun 4: pp. 322-324 Comparison with the Riemann integral |
Jun 5 |
Jun 6: notes Fubini's theorem Homework 9 due |
| Finals Week |
Jun 11, 3pm - 6pm Final (exam code 05) |