The study and analysis of numbers, equations, and theorums.
Courses highlighted in bold green are Academy Core Courses.
- MATH101: Concepts
- Introduction to mathematical systems, including Algebra, Geometry, Trigonometry, and Pre-Calculus. Discusses modern applications of these systems, additionally.
- MATH110: Functions and Models
- Study of algebraic, trigonometric, exponential and logarithmic functions within the context of mathematical modeling.
- MATH120: Calculus, Advanced
- Study of limits, differentiation, and integration of functions of one variable.
- MATH200: Discrete
- An introduction to the discrete paradigm in mathematics and computer science. Topics included are induction, recursion, algorithmic problem-solving, graph theory, number theory, and counting techniques.
- MATH250: Differential
- Study of ordinary differential equations and systems of equations, through the use of analytic, qualitative/ geometric, and numerical techniques. Applications from physics, biology, chemistry, engineering, economics, and psychology will be presented.
- MATH270: Linear Algebra
- Solving linear systems, matrix algebra, vector spaces and linear transformations, eigenvectors, orthogonality.
- MATH300: Combinatorics
- Continues the ideas of counting, graph theory, and algorithms from Mathematics 200. Topics may include Ramsey Theory, designs, coding theory, generating functions, and optimization. Offered in alternate years.
- MATH320: Analysis
- A rigorous study of the structure of the real line and the properties of real-valued functions. Topics include sequences, limits, continuity, differentiabililty, and integrability.
- MATH330: Probability and Statistics
- Theory of probability and mathematical statistics including an introduction to descriptive statistics and exploratory data analysis, basic concepts of probability theory, discrete and continuous random variables, special distributions, moment-generating functions, multivariate distributions, sampling distribution theory, and the Central Limit Theorem.
- MATH400: Solipsistic Mathematics
- A survey of recent advances in solipsistic mathematics and their applications to new understandings of quantum theory. Emphasis is placed upon matter replication and transporter mechanisms.
- MATH440: Topology
- A rigourous study of topology and conceptions of N-dimensional space.