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

We will cover everything that is required by College Board for the AP Calculus AB Exam. We will have Topic Questions throughout the series (which will either be used as an engagement activity in a session, or, if another activity is used, they will be assigned as homeowork), Progress Checks (think of them as unit tests), and Practice Exams.

Each week, we will go over the units of AP Calculus AB. We will also do various levels of practice questions and feel free to ask some of your questions that you may have. This would be a flexible series in terms of being able to change what units will be covered when based on the pace. Do bring some writing materials and if possible some questions regarding the topic to be answered. Prior knowledge is not necessary but would be helpful as we will go over the units from the start.

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