**Covered***Nov 9*: § 29 Integration by Parts, § 30 Change of Variables, § 31 Convergence and Integral, Integral form of the Remainder

*Nov 7*: § 30 Mean Value Theorem, Differentiation Theorem, Fundamental Theorem of Calculus

*Nov 2*: § 29 Riemann Integral (see project 29.alpha), Properties of Integral, § 30 Riemann Criterion of Integrability

*Oct 31*: § 28 Taylor's Theorem, § 29 Riemann Integral

*Oct 26*: § 27 Differentiation, Mean Value Theorem, Rolle's Theorem, Cauchy Mean Value Theorem

*Oct 24*: § 25 Limit of the function at a point, upper and lower limits

*Oct 19*: § Uniform continuity, § 24 Pointwise and Uniform Convergence of Functions (see also § 17), Weierstrass Approximation Theorem

*Oct 17*: § 22 Global continuity theorem, preservation of compactness, connectedness

*Oct 12*: § 20 Local properties of continuous functions

*Sep 30*: § 18 limsup, liminf, Examples (number e)

*Sep 28*: § 16 Monotone convergence, § 18 limsup, liminf

*Sep 21*: § 15 Subsequences, § 16 Bolzano-Weierstrass, Cauchy sequences

*Sep 19*: § 14 Convergent sequences, examples, § 15 Combinations

*Sep 14*: §12 Connected sets, connected sets in

**R***Sep 12*: §11 Compactness and Heine-Borel theorem

*Sep 7*: §10 Nested Cells and Bolzano-Weierstrass

*Sep 5*: §9 Open and closed sets; Open sets in

**R***Aug 31*: §8 Vector spaces, inner products, norms, distance, §9 Open Sets

*Aug 29*: §7 Nested Intervals, Cantor Set, §3 Finite and Countable sets

*Aug 24*: §6 Completeness property of

**R***Aug 22*: §4 Algebraic properties of

**R**, §5 Order properties of

**R**