Math H104 Tentative Syllabus
Week of | Mon | Wed | Fri | Topics |
8/30 | Ch I | Real and complex numbers | ||
9/06 | Holiday | Ch II | Sup and archimedean properties.Cardinality. | |
9/13 | Metric spaces. Topological spaces. Compactness. | |||
9/20 | Ch III | Compact, perfect, and connected sets. Convergence. | ||
9/27 | Convergent sequences. | |||
10/04 | Midterm | Convergent series | ||
10/11 | Ch IV | Compactness, connectedness, and continuity | ||
10/18 | * | Monotone functions, infinity | ||
10/25 | Ch V | Differentiation, mean value theorem | ||
11/01 | Ch VI | Rieman Stieltjes Integration | ||
11/08 | Fundamental Theorem of Calculus | |||
11/15 | Ch VII | Sequences and Series of functions | ||
11/22 | Midterm | Continuity, integration, differentiation | ||
11/29 | Approximation techniques | |||
12/06 | Further topics; review |
The above schedule is just a rough guide and subject to change as the course progresses.