I am back to host another wonderful series: VECTOR CALCULUS! I hope you all can join! This series will cover the content of a semester of college Vector Calculus PREREQ: Calculus 1 and Calculus 2 OR Successful Completion of AP® Calculus BC why Prereq? It is expected that you know how to take derivatives and integrals of single variable functions! STRUCTURE: 1. Lecture (45-60 min) 2. Homework *repeat above until unit is complete* 3. Problem Set for the Unit 4. Unit TEST Here is the syllabus for the series: Main Topics: 1. Vectors and the Geometry of Space 2. Partial Derivatives 3. Multiple Integrals Subtopics in Vector Calculus: 4. Vector fields 5. Line integrals 6. Green's theorem 7. Curl, gradient, and the divergence of a vector field 8. Flux of a vector field 9. Stokes Theorem 10. The Divergence Theorem

I am back to host another wonderful series: LINEAR ALGEBRA! I hope you all can join! This series will cover the content of a semester of college Linear Algebra and is traditionally taken after Calculus PREREQ: Pre-Calculus (Surprising, right?) . . . but I STRONGLY recommended a Successful Completion of AP® Calculus BC why Prereq? You don't use Calculus in this course, but understanding matrices well will get you ahead. The only part in AP® Calculus BC useful for this is the vectors unit, so please review that on your own because we will do a quick recap of the basics of vectors and matrices when this series begins! STRUCTURE: 1. Lecture (45-60 min) 2. Homework *repeat above until unit is complete* 3. Problem Set for the Unit 4. Unit TEST Here is the syllabus for the series: Topics: 1. Matrices and Systems of Equations 2. Matrix Operations and Matrix Inverses 3. Determinants 4. Norm, Inner Product, and Vector Spaces 5. Basis, Dimension, and Subspaces 6. Linear Transformations 7. Eigenvalues and Eigenvectors