Math 350 | Advanced Calculus | Spring 2026

Calendar
MONDAY	TUESDAY	WEDNESDAY	THURSDAY	FRIDAY
No Class	No Class	No Class		The Natural Numbers, Integers, and Rational Numbers
Ordered Fields	Supremums, Infimums, Axiom of Completeness	Archimedean Principle of the Reals		Density of Rationals in the Reals
Absolute Value	Triangle Inequality	Cardinality		Countable Sets
Uncountable Sets	Proofs of Quantified Statements	Convergence of a Sequence		Proving Convergence
Uniqueness of a Limit, Squeeze Theorem Quiz 1	Theorem: Convergent Sequences are Bounded	Limit Laws		Limit Laws
Monotone Convergence Theorem, Subsequences	Open Sets in \( \mathbb{R} \)	Unions and Intersections of Open Sets, Limit Points		Closed Sets
Characterizations of Closed Sets, Closure	Compactness	Heine-Borel Theorem		Metric Spaces
Class canceled due to weather	Metric Spaces	Metric Spaces		Exam 1
Spring Break	Spring Break	Spring Break	Spring Break	Spring Break
Metric Subspaces, Limits of Functions	Limit Laws for Functions	Sequential Criterion for Functional Limits		Sequential Criterion for Functional Limits
Continuity	Continuity	Images and Preimages		Continuity in Metric Spaces
Continuity in Metric Spaces	Extreme Value Theorem	Extreme Value Theorem		Intermediate Value Theorem
Intermediate Value Theorem, the Derivative	Differentiability and Continuity	Derivatives of Sums, Products, and Quotients		Interior Extremum Theorem
Interior Extremum Theorem, Rolle's Theorem	Mean Value Theorem	Applications of the Mean Value Theorem		The Riemann Integral
Properties of the Riemann Integral	Properties of the Riemann Integral	Exam 2
Last Day of Class	Final Exam 1 PM - 3 PM