In this series, we will cover all of integration from AP Calculus AB/BC, including the definition in terms of Riemann sums, the fundamental theorem of calculus, and evaluating basic integrals including polynomials (that is, the reverse power rule), and exponential functions. Then, we will introduce u-substitution, which is essentially the reverse chain rule, and integration by parts, which is the reverse product rule. Lastly, we end with looking at improper integration!

In this series, we aim to cover all of differentiation from AP Calculus BC.

Hi Everyone! Siddharth and Daniel here! This 10 session long bootcamp aims to teach you college-level linear algebra, following MIT's Open Course Ware's Syllabus. Here's the link: https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/. This bootcamp won't be too intensive, but at the same time will not be too laid back. We expect to meet twice every week, taking 90 minutes per session. Tentatively, we've scheduled to meet every Saturday and Sunday at 10:00 AM EDT. We will be sure to adjust the timings as per demand! Linear Algebra is essential in reshaping your perspective of the world. You begin to view everything in a form of a vector, matrices, and linear transformations. Linear Algebra plays a fundamental role in understanding key concepts in machine learning and quantum mechanics. Be excited not only to learn more about matrices and vectors, but also about the different real world applications that these concepts can be seen in such as a neat derivation Fourier series - the pinnacle of signal processing - using nothing more than a dash of linear algebra and an elementary fact from a middle school geometry textbook! Enroll now to find out what that is! Algebra 2 and pre-calculus are pre-requisites. While it is not necessary, it would be great if you have exposure to the basic ideas of calculus! Expected Results: 1. Understanding and applying matrix computations and ideas, such as: 2. Solve Ax = b for square systems by elimination. (Including pivots, multipliers, back substitution and more.) 3. Abstract vector spaces, basis and dimension. 4. Orthogonalization by Gram-Schmidt, with the best approximation theorem - a crazy powerful result that allows one to come up with way better polynomial approximations to trig functions than a calculus based Taylor series approach. 5. Eigenvalues and eigenvectors.

This series is specifically designed for Anurag G, at his request! As the title suggests, we aim to complete the CIE Further Mathematics Paper 1 syllabus[](https://schoolhouse.world/redirect?code=VCuMPmBRYWihsilRk67gK) by September 15th. We will meet Sunday from 17:00 to 19:00 and Wednesday from 14:45 to 15:45 each week. On Sundays we will cover a new chapter/concept and on Wednesday's we will go over problems assigned on Sunday. Main topics include polynomials, rational functions, series, matrices, polar coordinates, vectors in three dimensions and proof by induction. This is being hosted by a student who has accelerated the Further Math A-Level course, taking all four exams one year earlier and gotten an A*!

In this series, we will cover all of integration from AP Calculus AB/BC, including the definition in terms of Riemann sums, the fundamental theorem of calculus, and evaluating basic integrals including polynomials (that is, the reverse power rule), and exponential functions. Then, we will introduce u-substitution, which is essentially the reverse chain rule, and integration by parts, which is the reverse product rule. Lastly, we end with looking at improper integration!

In this two-part series we will cover logarithms thoroughly. We will begin with the definition, and its relationship to the exponential function. Then, we will derive the basic rules to manipulate these functions, including the sum rule, power rule, and the change of base formula. We will be sure to look at may related problems, such as solving equations involving logarithms. Finally, we turn to sketching graphs of logarithmic functions, including asymptotic behavior.

In this one-off session, we will go over graphing polynomials. We will study the end behaviour of polynomials, the zeros and their multiplicity, as well as their affect on the graph.

This series is for Shanmukha P, at his request! However, if any learner feels that they would like to go over the same concept as mentioned in the session description, then you are most welcome to join! Each week, we will review a pre-calculus or an introductory calculus topic (such as limits, or differentiation) in order to prep up for AP Calculus BC. Sessions will be interactive (lots of practice!), with an emphasis on intuition and problem solving skills.

Ace your Algebra 2 final exam with this 4-week course combining small group sessions and a personalized lesson plan. This program is ideal for students who have final exams Jun 16-20. What to expect: In Week 1, you will participate in one session where you will complete a skills assessment to identify targeted focus areas for you to work on throughout the program to help you prepare effectively for your final exam. In Weeks 2 through 4, you will join two small group sessions per week. This program will meet twice a week for 75 minutes per session. You and your peers will explore key concepts together and work on individual practice problems from your personalized lesson plan.

Ace your Algebra 2 final exam with this 4-week course combining small group sessions and a personalized lesson plan. This program is ideal for students who have final exams Jun 23-27. What to expect: In Week 1, you will participate in one session where you will complete a skills assessment to identify targeted focus areas for you to work on throughout the program to help you prepare effectively for your final exam. In Weeks 2 through 4, you will join two small group sessions per week. This program will meet twice a week for 75 minutes per session. You and your peers will explore key concepts together and work on individual practice problems from your personalized lesson plan.