Here you will find information about the material that was already covered or will be covered in the next few lectures.

Unless indicated otherwise, the sections numbers are from the textbook [B].

Star * after the date indicates planned content.

Date Content
Tue, Oct 13*: No class: October break
Thur, Oct 8* Midterm Exam 1, 8:00-9:30pm, in RHPH 164
Thur, Oct 8*: §15 Subsequences, Combination of sequences; §16 Bolzano-Weierstrass for sequences
Tue, Oct 6*: Review for Midterm Exam 1
Thur, Oct 1*: §14 Sequences, Convergent sequences in in Rp; Examples
Tue, Sep 29*: §12 Connected sets in R (cont); Connected open sets in Rp; §14 Convergence (start)
Thur, Sep 24*: §11 Compactness and Heine-Borel theorem; Cantor Intersection Theorem; Nearest Point Theorem; §12 Connected sets; Connected sets in R
Tue, Sep 22: §10 Nested Cells, Cluster points, Bolzano-Weierstrass theorem
Thur, Sep 17: §9 Open sets, Closed sets in Rp; Open sets in R
Tue, Sep 15: §8 Cauchy-Schwarz and Triangle inequalities; §9 Interior, exterior, boundary points; Open sets in Rp
Thur, Sep 10: §7 Cantor set revisited; §8 Vector spaces, inner products, norms; the Cartesian space Rp
Tue, Sep 8: §7 Cantor set §3 Finite, countable, and uncountable sets
Thur, Sep 3 §6 Existence of square roots; §7 Nested Intervals
Tue, Sep 1: §6 Completeness property of R, Archimedean Property, Density of rational numbers
Thur, Aug 27: §5 Order properties of R, Absolute value
Tue, Aug 25: §4 Algebraic properties of R; §5 Order properties of R (started)