Calculus I – Limits and Derivatives
A first university level calculus course covering functions, limits, continuity, derivatives, and core applications such as rates of change and optimization.
Math Courses
Calculus II – Integrals and Series
A continuation of Calculus I focused on definite integrals, techniques of integration, applications to area and volume, improper integrals, sequences, and series.
Calculus III – Multivariable Calculus
A multivariable calculus course covering vectors, partial derivatives, gradients, optimization, and introductory vector fields in two and three dimensions.
Calculus IV – Multiple Integrals & Vector Calculus
Double and triple integrals in Cartesian, polar, cylindrical, and spherical coordinates, plus line and surface integrals, Green's, Stokes', and the Divergence Theorem.
Linear Algebra I: Vectors, Matrices & Systems
A first university-level linear algebra course focused on vectors, matrices, row-reduction and linear systems, with geometric intuition and exam-style practice.
Linear Algebra II: Transformations, Eigenvalues & Orthogonality
A second linear algebra course on linear transformations, eigenvalues/eigenvectors and inner-product geometry, aligned with a typical Linear Algebra II syllabus.
Linear Algebra III: Spectral Theory, SVD & Applications
A capstone third linear algebra course covering the spectral theorem, SVD, conditioning and data-science applications such as PCA and Markov chains.
Discrete Math & Proofs for Computer Science
Logic, sets, combinatorics, and basic proof techniques aimed at CS and security students.
Partial Differential Equations (PDEs)
Fourier methods, separation, Green's functions and numerics.
Ordinary Differential Equations (ODEs)
Model, analyze and solve ODEs with theory and computation.