Real Analysis I
General
Prefix
MATH
Course Number
421
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
The real number system, completeness of the real numbers, topology of the real numbers, sequences, limits, continuity, differentiation, and integration.
Prerequisites
Credits
Min
4
Max
4
Repeatable
No
Goals and Diversity
MN Goal Course
No
Cultural Diversity
No
Learning Outcomes
Outcome
Identify properties of the real number system.
Outcome
Use the properties of the real number system in mathematical proofs.
Outcome
Identify open sets, closed sets, and limit points.
Outcome
Demonstrate mathematical proofs concerning the topology of the real numbers.
Outcome
Use deltas and epsilons to prove limits and continuity.
Outcome
Use limits to differentiate functions.
Outcome
Distinguish between differentiable and non-differentiable functions.
Outcome
Use Riemann sums to evaluate definite integrals.
Outcome
Use the fundamental theorem of calculus to evaluate definite integrals.
Outcome
Distinguish between integrable and non-integrable functions.
Dependencies
Courses
MATH421
is a
prerequisite
for:
Programs
MATH421
is a
completion requirement
for: