Certificate of Achievement
has completed the following course:
Calculus I: From Real Numbers to Differential Calculus
This online course explored fundamental calculus concepts, including real numbers, sequences, series, limits, continuity, and derivatives. It covered practical applications in optimization and problem-solving for STEM fields.
8 weeks, 8 hours per week
Paolo Guiotto
Professor of in stochastic analysis, optimization, and risk management
University of Padova
Transcript
Learning outcomes
- Discuss converge and, when possible, value of a sum of infinitely many numbers
- Apply Differential Calculus to provide qualitative plot of the behaviour of a numerical function of real variable
- Model, discuss and solve applied optimization problems, both theoretically and numerically
- Apply asymptotic methods to limits, infinite sums, behaviour of functions.
Syllabus
- Real Numbers: foundations and features
- Discrete Calculus: limit of sequences and infinite sums
- Continuum Calculus: limits and continuity
- Differential Calculus: Optimization methods, asymptotic analysis
Issued on 2nd February 2026
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