How My Math and Physics Courses Transformed My Approach to Learning
As a humanities student, the transition into understanding and applying mathematical and physical concepts was not an easy one. My mind is naturally drawn to the narratives and experiences that shape the subjective realities of characters and stories, whereas math and physics focus on universal, quantifiable laws that govern the physical and logical world. However, through rigorous study and hands-on application of these subjects, I gained invaluable insights that have profoundly impacted my approach to learning.
From the Humanities to Mathematics and Physics
The humanities, where I have spent most of my academic life, emphasize building a large library of idiosyncratic case studies and subjective experiences. In contrast, mathematics and physics require a different approach—solving problems with fewer tools to demonstrate elegance and efficiency. These courses are structured in a logical progression, helping the human brain to grasp complexity more easily.
Linear Progression in Mathematics and Physics
Moving from basic concepts to advanced theories in mathematics and physics is a gradual process. For example, linear functions are introduced initially as they are the simplest structures to understand. This is followed by more complex curves like parabolas, which are still within the realm of everyday experiences. Once these foundational concepts are established, calculus is introduced, providing the ability to describe and predict the behavior of natural phenomena.
Calculus and Its Applications
Calculus introduces the concept of rate of change, which is pivotal for predicting processes of change and the future. A derivative can be positive or negative, providing insight into the behavior of phenomena at a specific point in time. Understanding inflection points, maximums, and minimums helps in distinguishing between global and local influences, enhancing analytical skills that are universally applicable.
Progression in Physics
Physics courses follow a similar pattern of increasing complexity, starting with Newtonian mechanics, which is based on observable experiences like gravity and motion. This is then extended to more abstract concepts like electricity and magnetism, where the invisible forces are conceptualized through the idea of a field. This broader understanding of forces and their effects on objects significantly enhances problem-solving capabilities.
Electrical Engineering vs. Mechanical Engineering
Electrical engineering, which involves understanding and manipulating non-local forces, is considered more challenging than mechanical engineering. This is likely due to the abstract nature of electrical forces, which can't be directly observed, making them more difficult to grasp compared to the direct, tangible effects of gravity and motion.
Advanced Concepts in Physics
The journey continues with Lagrangian mechanics, differential equations, and thermal physics, each offering deeper insights into the fundamental forces and behaviors of the physical world. These advanced concepts provide a framework for observation and prediction, making it easier to discern underlying patterns and themes in seemingly complex phenomena.
Transforming My Learning Approach
My time in college was marked by a significant transformation in my ability to approach new concepts and problems. The structured progression in mathematics and physics helped me to identify and apply universal principles, reducing the reliance on subjective experiences and building a more robust, analytical mindset.
Observing the World through Quantitative Principles
While my literature classes taught me to observe people and their subjective experiences, my math and physics classes provided a foundation for observing the world through a quantitative lens. This shift towards understanding and applying universal principles has made it easier for me to fill in intuitive gaps and predict changes in processes and phenomena.
Continuing to Learn
Educational gaps can be bridged by continuous learning. Currently, I feel that my knowledge of optics is slightly lacking, as I did not have the opportunity to take a specialized course in this area before graduating. However, the broader knowledge and analytical skills gained from my mathematics and physics courses have equipped me with a solid foundation for approaching even these specific areas in the future.
Through my experience, I've realized that the principles learned in mathematics and physics extend far beyond just the subject matter. They provide a valuable toolset for analyzing and predicting complex phenomena, making my overall learning experience more efficient and effective.
By embracing these universal principles, I have not only improved my intellectual capabilities but also gained a deeper appreciation for the interconnectedness of our world. Whether working in the humanities or exploring the physical sciences, the ability to observe and understand the world through a quantitative lens has proven to be invaluable.