Week | Topics | Homework | Due |
---|---|---|---|
8/30 | Administrivia chapter 1 numbers, intervals,etc, and Appendix A proofs |
1.2 1, 2, 3, 6 1.3 2, 3, 4 |
9/8 |
9/6 | No Class 9/6 (Labor Day) 2.1 & 2.2 sequences and limits No Class 9/10 (Rosh Hashanah) |
2.1 2, 3, 4, 8, 10, 15, 16, 25, 26 2.2 2, 3, 4, 8, 10, 15, 16, 25, 26, 28, 30. |
9/15 |
9/13 | 2.2 Limits of sequences 2.3 Convergence to unknown limits |
2.3 2, 3, 4, 8, 10, 15, 16, 25, 26, 28, 29, 33. note that problems from 2.4 were moved, and #33 added |
9/22 |
9/20 | 2.3 Bolzano-Weierstrauss Thm & accumulation points 2.4 Finding Limits |
2.4 2, 3, 4, 8, 10, 15, 16, 20g, 24, 28 Also, prove that for r > 1, rn diverges to +∞ |
9/29 |
9/27 | 2.5 Bounded sets 3.1 Continuous functions |
2.5 2, 4, 5, 9 3.1 2, 5, 6, 7, 8, 9 |
10/6 |
10/4 | 3.2 The Intermediate Value Theorem, Inverse functions 3.5 Discontinuities 3.6 Exponentials and logarithms |
3.2 2, 9, 12 3.5 3, 5, 7 3.6 1, 2, 7 |
10/13 |
10/11 | 3.3 Extreme values, function bounds 3.4 Limits of functions 3.7 ε and &delta |
No homework this week; review for midterm instead | |
10/18 | First midterm on 10/18 4.1 Slope, speed, and tangents 10/22 (4pm): Last day to move down to another MAT course |
3.4 1a-m, 2 3.7 1, 2, 3 4.1 3, 4, 12 |
10/27 |
10/25 | 4.2 Algebra of derivatives 4.3 Derivatives of logarithms and exponentials 4.4 Derivatives of inverse functions 10/29: Last day to withdraw with W or P/NC |
4.2 1abfhjptw, 2bjp, 6bdf, 8, 10, 16, 17 4.3 1bde, 2bde, 3b, 4 4.4 2bdhj, 3 |
11/3 |
11/1 | 4.5 The Chain rule, implicit differentiation 4.6 related rates 4.7 Extrema again 4.8 Geometric application of limits and derivatives |
4.5 1bdfhnr, 2bd, 3b, 6 4.6 2, 5, 9, 11 4.7 2bdfh, 4, 6, 12 |
11/10 |
11/8 | 4.9 The Mean Value Theorem 4.10 L'Hôpital's rule, indeterminate forms 4.11 continuity and derivatives |
No homework this week; review for midterm instead | |
11/15 | review Second midterm on 11/17 |
4.8 2,3 4.9 3bdf, 4b, 13 4.10 1bdns, 2, 5 |
11/24 |
11/22 | 5.1 Area and the definition of the integral 5.2 The Riemann Integral No Class on 11/26 (Thanksgiving) |
5.1 2b, 4 5.2 1bhmno, 4, 5 |
12/3 |
11/29 | 5.3 The Fundamental Theorem of Calculus 5.4 Manipulating integrals |
5.3 1, 2, 3 5.4 1abcdefghklp |
Do, but don't hand in |
12/6 | Final part 1 on Wednesday, 12/8 | ||
12/13 | Final (cumulative) Monday, Dec 13, 11:15-1:45pm |