Calculus III
Explore advanced calculus topics including sequences, series, power series, parametric equations, polar coordinates, vectors, and vector-valued functions in three-dimensional space.
Business Calculus
Comprehensive exploration of calculus concepts applied to business, covering functions, derivatives, integrals, and their economic applications.
Differential Equations
Comprehensive exploration of differential equations, covering first and second-order equations, applications in physics and engineering, and advanced solution methods like Laplace transforms and power series.
Trigonometry
Comprehensive exploration of trigonometric concepts, from basic angles to advanced applications like polar coordinates and complex numbers. Includes problem-solving and proofs.
Math in Society
Explore voting systems, fair division, graph theory, growth models, financial math, statistics, and probability in this comprehensive applied mathematics course.
College Algebra
Comprehensive algebra course covering functions, equations, polynomials, and graphing techniques. Develops problem-solving skills and mathematical reasoning for college-level mathematics.
Accelerated Precalculus
Accelerated precalculus covering advanced topics like trigonometry, matrices, vectors, and conic sections. Ideal for students seeking a comprehensive and fast-paced mathematical foundation.
Calculus I
Comprehensive introduction to calculus, covering limits, derivatives, integrals, and applications. Develop problem-solving skills and gain a solid foundation in mathematical concepts essential for advanced studies.
Calculus II
Comprehensive exploration of advanced calculus topics including inverse functions, exponential and logarithmic functions, integration techniques, differential equations, sequences, and series.
Special Topics in Linear Algebra
Explore advanced linear algebra topics including least squares approximation, error-correcting codes, functional calculus, affine transformations, stochastic maps, and C*-algebras.
Stochastic Maps and Bayes' Theorem
Explore categorical probability theory through diagrammatic representations, focusing on stochastic maps, conditional probabilities, and Bayes' theorem.
Categorical Probability Theory
Explore Kleisli categories, probability theory, and stochastic maps. Learn about the Giry monad, Markov kernels, conditional probabilities, and Bayes' theorem in this advanced mathematical study.
Analysis II Video Lectures
Comprehensive video lectures on advanced mathematical analysis, covering topology, continuity, differentiation, manifolds, and more, with applications to various mathematical concepts.
Calculus
Comprehensive exploration of calculus fundamentals, covering limits, derivatives, optimization, and integration through detailed examples and proofs.
Linear Algebra
Explore vectors, their properties, and operations in 2D and 3D space. Learn dot product, vector angles, and algebraic proofs in this comprehensive introduction to linear algebra.
Multivariable Calculus
Explore vector operations, dot products, and 3D geometry in this comprehensive introduction to multivariable calculus, covering key concepts and practical examples.
Calculus 1
Master calculus fundamentals: limits, derivatives, integrals. Learn key theorems, applications in rates of change, optimization, and area calculations. Develop problem-solving skills for advanced mathematics.
Calculus 2
Explore advanced calculus concepts including integration techniques, series, parametric equations, and polar coordinates. Develop problem-solving skills and deepen mathematical understanding.
Algebra
Master algebra fundamentals, from exponents to functions. Develop problem-solving skills with practical applications in geometry, exponentials, logarithms, and systems of equations.
Calculus 3
Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, multiple integrals, and vector fields, with emphasis on theoretical foundations and practical applications.
Scientific Computing I
Explore scientific computing through Python, covering numerical methods, data analysis, and machine learning, with practical applications in physics and mathematics.