Teaching

Integral Calculus is fundamental to your degree because it provides the essential mathematical tools to model accumulation, change, and complex shapes, which are indispensable in engineering and the sciences. By mastering concepts like antiderivatives, definite integrals, and their applications to areas, volumes, and arc lengths, you will develop a powerful problem-solving toolkit. This course further enhances your analytical thinking by exploring series, power series, Taylor and Fourier series, equipping you to approximate and represent sophisticated functions. Ultimately, learning to work with parametric curves and polar coordinates will give you a versatile perspective for tackling advanced problems in physics, data science, and engineering, solidifying the logical foundation required for your subsequent courses and future career.

This foundational course in Single-Variable Calculus is essential to your degree as it provides the core mathematical language and toolkit for all subsequent studies in engineering and science at Yachay Tech. By introducing the concepts of limits, continuity, and the derivative, the course builds your capacity for logical reasoning and precise analysis, equipping you to solve real-world problems involving optimization, rates of change, and mathematical modeling. Furthermore, by developing the integral—from Riemann sums to the Fundamental Theorems of Calculus—it empowers you to understand accumulation, such as calculating areas under curves. The strong emphasis on applying these principles to elementary functions (polynomial, trigonometric, exponential, and logarithmic) ensures you gain both the theoretical foundation and practical problem-solving skills crucial for success in advanced courses and future technical careers.

Linear Algebra is fundamental to your degree because it provides the essential mathematical tools to solve complex problems in various disciplines. By studying vectors, matrices, and vector spaces, you will develop abstract and logical thinking skills and hone your problem-solving abilities. This is crucial in physics, computer science, economics, and engineering and will prepare you for a future career where the ability to solve problems efficiently and accurately is highly valued.

Fundamentals of Mathematics is the essential foundation for your scientific and technical education. This course prepares you to tackle advanced subjects such as Calculus I and Linear Algebra, developing logic, functions, algebra, and trigonometry skills. By mastering these concepts, you will not only learn to solve complex problems, but you will also cultivate an analytical mindset crucial for fields such as engineering, computing, or physics. This adaptability will give you the confidence to navigate an ever-evolving job market.

Simulation is a course that uses mathematical and computational methods to model complex systems and analyze their behavior. The course covers techniques such as Monte Carlo simulation, discrete event simulation, and stochastic simulation. Students will learn to design simulation experiments, analyze results, and apply these methods to problem-solving in finance, engineering, and applied sciences, providing valuable skills for their future careers.

Risk Theory, a branch of applied mathematics, plays a crucial role in managing risks in various contexts, especially in insurance, finance, and business management. It studies probabilistic models to analyze and manage risks, focusing on modeling uncertain events, such as claims or economic losses, to calculate probabilities, quantifying impacts, and designing strategies to mitigate risks. This emphasis on risk management provides a sense of security in uncertain situations.

Probability and Statistics (Basic) is an introductory course that provides students with the fundamental tools to understand and apply the concepts of probability and statistics in different contexts. The course will address descriptive data analysis, probability distributions, parameter estimation, hypothesis testing, and statistical inference techniques. These concepts are not just about numbers but are essential for developing critical thinking skills and making data-driven decisions in various fields.

A stochastic process is a mathematical tool that helps us understand how something randomly changes over time. Whether we're observing the weather, stock prices, or population growth, we often can't predict precisely what will happen. But with stochastic processes, we can analyze their overall behavior using probabilities. More importantly, stochastic processes allow us to study these unpredictable changes and, in doing so, find patterns hidden in the apparent randomness. This potential for discovery and innovation is what makes stochastic processes so exciting.

Linear Algebra is fundamental to your degree because it provides the essential mathematical tools to solve complex problems in various disciplines. By studying vectors, matrices, and vector spaces, you will develop abstract and logical thinking skills and hone your problem-solving abilities. This is crucial in physics, computer science, economics, and engineering and will prepare you for a future career where the ability to solve problems efficiently and accurately is highly valued.

Calculus (One Variable) is essential to your degree because it teaches you to understand and analyze change, a central concept in many areas of knowledge. By mastering techniques of derivation and integration, you will be able to solve problems related to motion, growth, and optimization in fields such as physics, economics, and engineering. This knowledge will provide a solid foundation for more advanced courses and foster your critical thinking skills and ability to approach complex problems confidently and precisely. These versatile skills can be applied to various careers, preparing you to adapt and succeed in a rapidly changing job market.

This course fosters critical problem-solving and decision-making skills through mathematical models applied to various areas of the School of Business. The content is based on two fundamental pillars: business calculus and financial mathematics, with a constant focus on practical application. Throughout the course, students relate theoretical knowledge with real situations, which enables a deeper and more relevant understanding of the topics addressed.

This course offers solid training in the fundamental concepts of problem-solving and mathematical logic. It encompasses reasoning techniques, set theory, formal logic, algebra, and precalculus, with a practical approach that connects theoretical knowledge with concrete applications. It is aimed at those with a background in algebra, an essential requirement to take full advantage of the contents.