**Mat 215**

**Assignments**

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Practice Midterm [Solutions]

Midterm Solutions

Problem Set 6

Problem Set 7

Problem Set 8

Problem Set 9

Problem Set 10

Problem Set 11 Not Graded.

Practice Final [Solutions]

Final Solutions

**Recordings**

2/22-Series Tests and Functional Limits

**Schedule**

Natural Numbers, Rationals, Real Number Axioms, Sections 1.3-1.4

Cardinality, Sections 1.5-1.6

Topology of the Reals, Open Sets, Closed sets, Section 3.2

Compact Sets, Section 3.3

Connected Sets, Section 3.4

Sequences, Monotone Convergence Sections 2.2-2.4

Bolzano-Weierstrass, Cauchy Sequences, Sections 2.5-2.6

Series, Double Summation, Sections 2.7-2.8

Construction of the Reals

Continuous Functions, Section 4.3

Extreme Value Theorem, Intermediate Value Theorem, Sections 4.4-4.5

Differentiation, Section 5.2

Properties of Derivatives, Section 5.3

Riemann integral, Sections 7.2-7.4

Fundamental Theorem of Calculus, Section 7.5

Sequences of Functions, Sections 6.2-6.3

Series of Functions and Power Series, Sections 6.4-6.5

Taylor's Theorem, Sections 6.6-6.7