Authors :
Dr. Suvarna Hindole; Akshata
Volume/Issue :
Volume 10 - 2025, Issue 11 - November
Google Scholar :
https://tinyurl.com/wcx7kvut
Scribd :
https://tinyurl.com/fa3532k4
DOI :
https://doi.org/10.38124/ijisrt/25nov773
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
The rapid ascent of Artificial Intelligence (AI) has profoundly reshaped industries, research, and daily life,
creating an unprecedented demand for skilled professionals. While programming proficiency and algorithmic
understanding are often foregrounded in AI education, this research paper argues that a deep and robust mathematical
foundation is not merely advantageous but critically indispensable for genuine comprehension, innovation, and ethical
development within the field. This paper explores the specific mathematical disciplines—including linear algebra, calculus,
probability and statistics, discrete mathematics, and optimization theory—that form the bedrock of modern AI
methodologies, from machine learning to deep neural networks and reinforcement learning. We analyze current trends in
undergraduate AI curricula, identify potential gaps in mathematical rigor, and propose pedagogical strategies and
curriculum recommendations to integrate these essential mathematical concepts more effectively. By fostering a profound
understanding of the mathematical underpinnings, undergraduate programs can empower students to transcend mere
application, enabling them to design novel algorithms, interpret complex models, and navigate the evolving challenges of AI
with true expertise.
Keywords :
Artificial Intelligence, Machine Learning, Undergraduate Education, Mathematics, Linear Algebra, Calculus, Probability, Statistics, Optimization, Curriculum Development.
References :
- ACM/IEEE. (2013). Computer Science Curricula 2013: Curriculum Guidelines for Undergraduate Degree Programs in Computer Science. Association for Computing Machinery (ACM) and Institute of Electrical and Electronics Engineers (IEEE) Computer Society.
- Barr, A., & Feigenbaum, E. A. (Eds.). (1981). The Handbook of Artificial Intelligence, Vol. I. William Kaufmann.
- Davenport, T. H., & Ronanki, R. (2018). Artificial Intelligence for the Real World. Harvard Business Review, 96(1), 108-116.
- Domingos, P. (2012). A few useful things to know about machine learning. Communications of the ACM, 55(10), 78-87.
- Gainsburg, J. (2019). Mathematical learning for computational problem solving: An integrated approach for computer science students. Journal of Learning for Development, 6(1), 1-15.
- Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep Learning. MIT Press.
- Mohri, M., Rostamizadeh, A., & Talwalkar, A. (2018). Foundations of Machine Learning (2nd ed.). MIT Press.
- Rudin, C. (2019). Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead. Nature Machine Intelligence, 1(5), 206-215.
- Russell, S. J., & Norvig, P. (2020). Artificial Intelligence: A Modern Approach (4th ed.). Pearson Education.
- Shavlik, J. W., & Dietterich, T. G. (Eds.). (1990). Readings in Machine Learning. Morgan Kaufmann.
The rapid ascent of Artificial Intelligence (AI) has profoundly reshaped industries, research, and daily life,
creating an unprecedented demand for skilled professionals. While programming proficiency and algorithmic
understanding are often foregrounded in AI education, this research paper argues that a deep and robust mathematical
foundation is not merely advantageous but critically indispensable for genuine comprehension, innovation, and ethical
development within the field. This paper explores the specific mathematical disciplines—including linear algebra, calculus,
probability and statistics, discrete mathematics, and optimization theory—that form the bedrock of modern AI
methodologies, from machine learning to deep neural networks and reinforcement learning. We analyze current trends in
undergraduate AI curricula, identify potential gaps in mathematical rigor, and propose pedagogical strategies and
curriculum recommendations to integrate these essential mathematical concepts more effectively. By fostering a profound
understanding of the mathematical underpinnings, undergraduate programs can empower students to transcend mere
application, enabling them to design novel algorithms, interpret complex models, and navigate the evolving challenges of AI
with true expertise.
Keywords :
Artificial Intelligence, Machine Learning, Undergraduate Education, Mathematics, Linear Algebra, Calculus, Probability, Statistics, Optimization, Curriculum Development.