Mathematics Major
These courses focus on mathematical language and thinking and explore a range of topics. They set the tone for higher mathematics and help you with logical and analytical thinking, proof techniques and the communication of arguments.
Courses
Explorations in Mathematics I
Mathematics Major
Taught through inquiry-based learning, this course, is an exploration of geometry and algebra motivated by questions of congruence of triangles, along with the nature and language of mathematics.
Explorations in Mathematics II
Mathematics Major
Introduction to Programming
Mathematics Major
Helping you explore programming with depth.
Analysis I
Mathematics Major
This course focuses on the structure of the real line and functions on the reals. Notions of convergence and continuity are studied and also some important results in calculus about these concepts, and the properties of the real line that lead to these results.
Analysis II
Mathematics Major
Continuing our study of real numbers and their properties, we study functions on reals and their properties through some theory of differentiation and integration. We will also study how these two concepts are related.
Analysis III
Mathematics Major
In this third course in the analysis sequence, we study the calculus of functions of two or three variables and interpret the fundamental theorems of calculus in higher dimensions, and which have rich applications in the physical sciences.
Linear Algebra
Mathematics Major
The plane is thought to be two-dimensional, experienced space as three-dimensional and represent them by coordinate systems. This course leads to vector spaces and linear maps which crop up everywhere in mathematics.
Ring Theory
Mathematics Major
Delves deep into inquiries like - Is -2 a prime number? Why do integers and polynomials have same the division algorithm? Why does algebra shed light on the geometry of polynomial curves? - and many more, offering comprehensive answers and insights.
Discrete Mathematics
Mathematics Major
Discrete mathematics is the study of structures like graphs, lattices etc which are finite, or infinite without being dense. Reasoning about them involves counting, permutations and combinations, probability and more.
Probability and Statistics I
Mathematics Major
In this course you will learn how to represent chanciness mathematically and construct mathematical models for games of chance.
Groups and Symmetries
Mathematics Major
Provides you with the knowledge needed to address challenges related to symmetry with precision and a deep understanding.
Ordinary Differential Equations
Mathematics Major