Advanced Calculus

Course Description

A look at sets, functions and the real numbers. Topics include the Completeness axiom, cardinality and Cantor’s Theorem, LimSup and LimInf; the topology of R1 and R2, open sets, limit points, compactness and the Heine-Borel Theorem, continuous functions properties, uniform continuity, the Mean-Value theorem; the Riemann integral and the Lebesgue Measure.

Learning Outcomes

  • Demonstrate proficiency in correct formulation and proving theorems covered in the class.
  • Be able to show different ways to disprove incorrect mathematical statements on concrete examples.
  • Have clear understanding and strong awareness of mathematical concepts covered in this course and be able to solve problems formulated in terms of these concepts.


Why Choose National University?

We’re proud to be a Veteran-founded, San Diego-based nonprofit. Since 1971, our mission has been to provide accessible, achievable higher education to adult learners. Today, we educate students from across the U.S. and around the globe, with over 220,000 alumni worldwide.

Four-Week Courses

Focus on one subject at a time — one month at a time — and finish your degree faster.

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Study when and where it’s convenient for you with evening, weekend, and 100% online classes.

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Apply or transfer any time. Classes start monthly, and applications are accepted year round.

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Attend class and learn onsite at one of over 20 locations in California.

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As a Yellow Ribbon school, we offer tuition discounts to servicemembers and dependents.

School of Arts, Letters, and Sciences

“Our faculty are established scholars and creators in their own fields. They are dedicated to making your entry into their disciplines a successful one, preparing you for your career as well as graduate study.”
School of Arts, Letters, and Sciences
Jackson M., Class of 2021, Military Veteran
National University
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