NBCT 2010, PAEMST 2015

Mathematics

Stay Curious

Subjects Taught

Vector Calculus

History of Mathematics

Vector Calculus

Based on Chapters 13 - 16 of Thomas' Calculus:

Vector-Valued Functions, Frenet Frame, Multivariable Functions, LaGrange's Theorem, Multiple Integrals, and Vector Fields

Linear Algebra

History of Mathematics

Vector Calculus

Thomas Shifrin: Vector Spaces, Linear Transformations, Matrices, Eignevectors, Change of Bases, and Applications

History of Mathematics

History of Mathematics

History of Mathematics

This is a course with a multicultural approach to the history of mathematics. 

Complex Analysis

Introduction to Group Theory

History of Mathematics

Using Brown-Churchill, this course goes through an introduction to complex numbers, the Cauchy-Riemann Equations, Cauchy Integral Theorem and the Residue Theorem

Introduction to Group Theory

Introduction to Group Theory

Introduction to Group Theory

From Group Definitions, Permutation Groups, Cyclic Groups, Subgroups, Cosets and Normal Subgroups, Group Homomorphism, Quotient Groups and the Isomorphism Theorem

Introduction to Topology

Introduction to Group Theory

Introduction to Group Theory

Metric Spaces, Topological Spaces, Topological Properties, Continuous Functions, and Homotopy

Introduction to Categories

Introduction to Categories

Introduction to Categories

Categories, Functors, Initial and Final Objects, Product and Coproduct, Direct and Inverse Limit, the Fundamental Group

AP Calculus AB

Introduction to Categories

Introduction to Categories

Review Packets and Summaries to help with the AP Calculus AB Exam

AP Calculus BC

Introduction to Categories

AP Calculus BC

Review Packets and Summaries to help with the AP Calculus BC Exam