Introduction to Mathematics
Mathematics is an area of knowledge that includes the study of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
Main Topics in Mathematics
Pure Mathematics
The abstract study of mathematical concepts independent of any application outside mathematics.
Key Topics:
- Analysis and Calculus
- Algebra and Number Theory
- Geometry and Topology
- Logic and Foundations
Applied Mathematics
The application of mathematical methods to solve problems in science, engineering, economics, and other fields.
Key Topics:
- Mathematical Modeling
- Numerical Analysis
- Optimization
- Differential Equations
Statistics & Probability
The study of data collection, analysis, interpretation, and randomness.
Key Topics:
- Probability Theory
- Statistical Inference
- Data Analysis and Visualization
- Experimental Design
Computational Mathematics
The use of computers and algorithms to solve mathematical problems.
Key Topics:
- Algorithm Design and Analysis
- Scientific Computing
- Machine Learning and Data Science
- Computer Algebra Systems
Our Mathematics Faculty
Dr. Emily Johnson
Professor of Pure Mathematics
Dr. Johnson specializes in algebraic topology and has published numerous papers on homology theory. She received her PhD from MIT and has been teaching at our institution for 8 years.
Dr. Michael Chen
Associate Professor of Applied Mathematics
Dr. Chen focuses on numerical methods for partial differential equations with applications in fluid dynamics. He has extensive industry experience and collaborates with engineering departments on interdisciplinary research.
Dr. Sarah Williams
Assistant Professor of Statistics
Dr. Williams specializes in statistical learning theory and data science. Her research bridges theoretical statistics with real-world applications in economics and social sciences.
Mathematics Labs and Resources
Computational Mathematics Lab
A high-performance computing facility for mathematical simulations and computations.
Statistics and Data Science Lab
A specialized lab for statistical analysis and data science projects.
Mathematics Courses
Advanced Calculus
MATH-301In-depth study of limits, derivatives, integrals, and infinite series with applications.
Abstract Algebra
MATH-320Introduction to groups, rings, fields, and other algebraic structures.
Probability Theory
MATH-340Mathematical foundations of probability with applications in statistics and data science.