Physics One
Explore advanced physics concepts, from equations of motion to Lagrangian mechanics, using mathematical language to develop authentic physicist thinking skills.
A Second Course in Differential Equations
Explore advanced topics in ordinary differential equations, including linear systems, eigenvalues, numerical methods, and Python implementations for solving complex ODEs.
Introducing Linear Algebra
Comprehensive exploration of linear algebra concepts, from basic operations to advanced topics, with practical applications using Julia and Python programming languages.
Introducing Graph Theory
Explore fundamental concepts in graph theory, from cycle and planar graphs to Eulerian and Hamiltonian graphs, enhancing your understanding of this mathematical field.
Chemistry 361B
Comprehensive exploration of quantum mechanics, covering complex numbers, differential equations, atomic models, Schrödinger equation, and molecular structures. Ideal for advanced chemistry students.
Advanced Bayesian Methods
Explore advanced Bayesian computational techniques including Metropolis Hastings, Gibbs sampling, and convergence assessment for efficient statistical analysis and modeling.
Cross-Classified Models
Learn advanced statistical techniques for analyzing complex hierarchical data structures, focusing on model fitting, extensions, and practical applications.
Agent Based Modeling
Explore agent-based modeling for social research, covering model creation, analysis, and documentation, with insights on time dynamics and data quality assessment.
APEX Calculus - Techniques of Antidifferentiation
Comprehensive exploration of advanced integration techniques, including substitution, parts, trigonometric integrals, partial fractions, and improper integrals, with practical examples and applications.
APEX Calculus - Applications of Integration
Explore advanced calculus applications: area between curves, volumes, arc length, and surface area. Gain practical skills in solving complex integration problems.
APEX Calculus - Differential Equations
Comprehensive exploration of differential equations, covering basics, separable and linear equations, and real-world applications through modeling. Ideal for calculus students seeking practical understanding.
APEX Calculus - Sequences and Series
Comprehensive exploration of sequences, series, and related concepts in calculus, covering convergence, tests, Taylor polynomials, power series, and applications.
APEX Calculus - Plane Curves
Comprehensive exploration of plane curves, covering conic sections, parametric equations, and polar coordinates with calculus applications and practical examples.
APEX Calculus - Vectors
Explore 3D space, vectors, dot and cross products, lines, and planes in calculus. Master geometric concepts and their applications in this comprehensive chapter.
APEX Calculus - Functions of Several Variables
Comprehensive exploration of multivariable calculus, covering limits, partial derivatives, chain rule, directional derivatives, and optimization techniques for functions of several variables.
APEX Calculus - Multiple Integration
Comprehensive exploration of multiple integration techniques, covering double and triple integrals, coordinate systems, and change of variables, with practical examples and applications.
APEX Calculus - Vector Calculus
Comprehensive exploration of vector calculus, covering parametric curves, line integrals, vector fields, Green's Theorem, parametric surfaces, and culminating in the Divergence and Stokes' Theorems.
APEX Calculus - Vector-Valued Functions
Explore vector-valued functions through graphing, algebra, calculus, motion analysis, and curvature. Learn about tangent and normal vectors, acceleration, and the arc length parameter in this comprehensive tutorial.
Exploring Introductory Statistics
Comprehensive introduction to statistics covering probability, distributions, hypothesis testing, and data analysis techniques for various scenarios.
Calculus I
Comprehensive introduction to calculus covering limits, derivatives, and applications, with emphasis on problem-solving and practical applications in various fields.
Calculus II
Comprehensive exploration of integral calculus, covering techniques, applications, and advanced topics for a deep understanding of mathematical concepts and problem-solving skills.