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Navigating Math: Foundations, Rigor, and Responsibility

“Mathematics is the language we use to understand the world around us — from the smallest atom to the farthest star. In modern sciences, it is the foundation of high-performance computing, machine learning, and Artificial Intelligence (AI).”

“Mathematics, rightly viewed, possesses not only truth but supreme beauty — a beauty cold and austere, like that of sculpture.” — Bertrand Russell

“Mathematics is the language in which God has written the universe.” — Galileo Galilei

To all my students, I would like to share my personal philosophy for navigating a course successfully. These are my principles and expectations, intended to guide your learning and growth. This represents my personal approach and philosophy — clearly stated so there is no misunderstanding or confusion.

Key Principles and Expectations

Learn deeply. Act responsibly. Prepare honestly for life.
School is training for life: build knowledge, judgment, and resilience.
Speak directly with your professor if challenges arise; follow proper channels as needed.
Mathematics is the mother of all sciences — precision matters.
From rockets to calculations, accuracy is essential.
Other fields often give partial credit; math requires full rigor.
Grades fade; habits last. Build discipline, clarity, and responsibility here.
Engage fully with all class work, inside and outside of class.
Invest time outside class: attend tutoring, study groups, and office hours.

Your learning and success are ultimately determined by your effort. I will provide all the guidance, resources, and support you need, but it is your dedication, participation, and persistence that bring it home. Both your understanding and your grade are in your hands, and I am here to help you achieve your strongest potential.

For any questions, suggestions or discussions please email me at [saulo.orizaga(at)nmt.edu]