College of the Holy Cross, Spring 2017
Syllabus for Math 242 (Principles of Analysis)
Professor Hwang, (rhymes with song)
The schedule below is subject to minor changes. Any substantial corrections will be announced by email and/or in class.
| Day | Date | Section | Topics |
| M | Jan 23 | Advising | |
| W | Jan 25 | Section 1.4 | Sets of Real numbers |
| F | Jan 27 | Section 2.1-2.2 | The Real Numbers |
| M | Jan 30 | Section 2.3-2.4 | Order Properties, Exponentiation |
| W | Feb 1 | Section 2.5 | The Triangle Inequalities |
| F | Feb 3 | Section 3.1 | Intervals |
| M | Feb 6 | Section 3.3 | Upper and Lower Bounds |
| W | Feb 8 | Section 3.3 | Suprema and Infima |
| F | Feb 10 | Section 3.4 | Topology |
| M | Feb 13 | Section 4.1 | Sequences and Limits |
| W | Feb 15 | Section 4.1 | Properties of Limits |
| F | Feb 17 | Section 4.1 | Inequalities, Infinite Limits |
| M | Feb 20 | Section 4.2 | Subsequences |
| W | Feb 22 | Section 4.3 | Cauchy Sequences |
| F | Feb 24 | Section 4.4 | Infinite Series |
| M | Feb 27 | Section 4.4 | Absolute Summability |
| W | Mar 1 | Section 5.1 | Functions |
| F | Mar 3 | Midterm 1 | |
| M | Mar 6 | Spring Break | |
| W | Mar 8 | Spring Break | |
| F | Mar 10 | Spring Break | |
| M | Mar 13 | Section 5.2 | Images and Preimages |
| W | Mar 15 | Section 5.4 | Power Series |
| F | Mar 17 | Section 6.1 | Continuity |
| M | Mar 20 | Section 6.2 | Limits |
| W | Mar 22 | Section 6.2 | One-Sided Limits |
| F | Mar 24 | Section 6.2 | Calculi of Sloppiness |
| M | Mar 27 | Section 6.3 | Continuity of Power Series |
| W | Mar 29 | Section 6.3 | The Intermediate and Extreme Value Theorems |
| F | Mar 31 | Section 7.1 | Partitions and Riemann Sums |
| M | Apr 3 | Section 7.2 | Properties of the Integral |
| W | Apr 5 | Section 7.3 | Criteria for Integrability |
| F | Apr 7 | Section 7.4 | Definite Integrals |
| M | Apr 10 | Section 7.5 | Integration of Power Series |
| W | Apr 12 | Midterm 2 | |
| F | Apr 14 | Easter | |
| M | Apr 17 | Easter | |
| W | Apr 19 | Section 8.1 | Differentiability |
| F | Apr 21 | Section 8.2 | Differentiation Rules |
| M | Apr 24 | Section 8.3 | The Mean Value Theorem |
| W | Apr 26 | Section 9.1 | The Fundamental Theorems |
| F | Apr 28 | Section 9.2 | Taylor's Theorem |
| M | May 1 | Section 9.3 | Differentiation of Power Series |
| W | May 3 | Section 10.1 | The Exponential Function |
| F | May 5 | Section 10.2 | Representations of exp |
| M | May 8 | Section 11.1 | Circular Functions |