This series is for prospective AP Calculus AB/BC students. We will be covering all units in AP Calculus BC (which includes all units of AP Calculus AB) and will solve questions from Barron's. All learners are expected to prepare a graphing calculator for every session.

I will be covering Units 1-8 of the Collegeboard AP Calculus AB course. I will be following the Collegeboard curriculum. This course will require around 1-2 hours of work outside of our sessions because I am very briefly running through these topics (each unit has 5-14 topics) as a prep course for AP Calc AB. By the beginning of August, my goal is to cover all of Unit 1, so that you are all prepared for the upcoming school year. During our sessions, I encourage you to ask questions and try your best to participate and work through problems.

Each day we'll go over part of AP Calculus in order to prepare for the AP exam.

This unit will take a week to complete with one hour of instruction on Monday Wednesday Friday.

AP Calculus BC / Calculus 2 Tutoring Series Welcome to our AP Calculus BC / Calculus 2 Tutoring Series! NOTE: More sessions to be added. This series HIGHLY RECOMMENDED for high school and college students who already have an understanding of calculus 1 and want to increase their calculus skills. Prerequisites: This series is designed for students who have a foundation in limits, derivatives, and integrals and are ready to dive deeper into more advanced topics. This series will NOT cover topics already in AP Calculus AB or Calculus I syllabus. The goal is to provide clear, easy-to-understand explanations and practical examples to help you excel in your studies. Here's what we'll cover: 1. Techniques of Integration- Learn various methods to tackle complex integrals, including integration by parts, partial fractions, trigonometric integrals, and more. These techniques will expand your toolkit and make solving integrals more manageable. 2. Applications of Integrals - Discover how integrals are used in real-world applications. We'll explore areas such as calculating areas between curves, finding volumes of solids of revolution, work done by a force, and more. 3. Parametric Equations and Polar Coordinates - Understand how to work with curves represented by parametric equations and polar coordinates. We'll cover graphing, analyzing motion, and converting between different coordinate systems. 4. Sequences and Series- - Dive into the world of sequences and series, including arithmetic and geometric series, convergence tests, power series, and Taylor series. You'll learn how to determine the behavior and sum of infinite series. 5. Vectors and 3D Space - Explore the fundamentals of vectors and their applications in three-dimensional space. Topics include vector operations, dot and cross products, equations of lines and planes, and analyzing motion in space. Throughout the series, we'll use a variety of teaching methods, including step-by-step problem-solving, visual aids, and interactive discussions to ensure you grasp each concept thoroughly. Join us and take your calculus skills to the next level!

This series is for those who have already taken AP Calculus AB and will be taking AP Calculus BC this year and are looking to get ahead on the 2 units unique to Calculus BC. We will learn each unit in one week and review what we have learned each Friday.

Join the AP Calculus Mastery course and master every aspect of Calculus 1. Through rigorous practice, detailed explanations, and interactive discussions, I'll prepare you for a 5 score on the AP Calculus AB Exam. Sessions, typically are 1 hour long, and focus on solving practice problems, supplemented with extra explanations & justifications. The goal is to finish the course before the end of summer but at least finish enough content where you're still a step ahead before the school year begins. I will guide you through each problem, offer clear explanations, and foster collaborative learning. Get ready to excel this summer!

In this series, we will go over all 10 units of the AP Calculus BC course, covering 1 unit per week. Each week I will host 1 session teaching the units and later in the week, I will host a session where we will solve problems about the unit together.

Welcome to an exciting journey into the fascinating realm of calculus! In this thoughtfully designed series, tailored specifically for high school students, participants will embark on an exploration of the fundamental techniques of differentiation. Throughout our engaging sessions, we'll focus on unraveling the intricacies of composite functions, inverse functions, and implicit differentiation. What You'll Master: Unraveling Composite Functions: Gain proficiency in dissecting and differentiating functions nested within one another. Discover how to navigate through layers of complexity with ease using the powerful chain rule. Navigating Inverse Functions: Delve into the intricacies of inverse functions, learning how to differentiate and manipulate them effectively. Understand their role in solving equations and their significance in real-world applications. Mastery of Implicit Differentiation: Step into the realm of implicit functions, where equations aren't explicitly defined. Master the technique of implicitly differentiating these functions, crucial for tackling advanced calculus problems and scenarios.

Each week, we will go over one unit in the entire AP Calculus AB/BC course. Every session will also include a bunch of previous free-response questions and multiple-choice questions relevant to the topic.

Hey everyone, it's finally here! Calculus 3 (the equivalent of the first semester of a full-year course). NOTE: REQUIRED READING OF APPROXIMATELY 25 PAGES A WEEK + WEEKLY HOMEWORK (with feedback) + 1 TEST PER UNIT (in-class and graded with feedback) Prerequisites: - Calculus 1 and 2 (the equivalent of Calc BC) CONTENT COVERED: (UNIT I) Geometry of vectors and projections 1. Vector geometry in R^n 2. Planes in R^3 3. Span, subspaces, and dimension 4. Basis and orthogonality 5. Cross Products (UNIT II) Multivariable functions and optimization 6. Multivariable functions, level sets, and contour plots 7. Partial derivatives and contour plots 8. Maxima, minima, and critical points 9. Gradients, local approximations, and gradient descent 10. Constrained optimization via Lagrange multipliers (UNIT III) Geometry and algebra of matrices 11. Linear functions, matrices, and the derivative matrix 12. Linear transformations and matrix multiplication 13. Matrix algebra 14. Multivariable Chain Rule 15. Matrix inverses and multivariable Newton’s method for zeros (UNIT IV) Further matrix algebra and linear systems 16. Linear independence and the Gram–Schmidt process 17. Matrix transpose, quadratic forms, and orthogonal matrices 18. Linear systems, column space, and null space 19. Matrix decompositions: QR-decomposition and LU-decomposition (UNIT V) Eigenvalues and second partial derivatives 20. Eigenvalues and eigenvectors 21. Applications of eigenvalues: Spectral Theorem, quadratic forms, and matrix powers 22. The Hessian and quadratic approximation 23. Application of the Hessian to local extrema 24+ (special topics - TBD)

We'll go through the basics of calculus and cover some important concepts. This would be a great introduction for anybody looking to take calculus in the next year and a great review for people who have taken it and are looking to review. This curriculum is definitely not set in stone, I am extremely flexible and would love to teach what you guys would like to learn in calculus!

I got a 5 on the AP Calculus BC exam, and you can too. Having previously taught Calculus 1 (the AB curriculum) and now seeing the staggering amount of demand for further maths, I've decided to host this intensive, yet comprehensive series on Calculus 2, including a FULL work-through of a real past exam. The first two sessions will serve as a review of differential calculus. Below are what we will cover: INTEGRATION AND APPLICATIONS (UNIT 1) 1. Introduction to accumulation of change 2. Left and right Riemann sums; over and under-approximation 3. Midpoint and trapezoidal sums 4. Definition of indefinite integral using as the limit of Riemann sums 5. The Fundamental Theorem of Calculus (including the proof), antiderivatives, and definite integrals 6. Interpretation of accumulation functions: negative definite integrals, definite integrals over a single point; graphical interpretation and evaluation. 7. Integrating sums of functions, switching the bounds of integration, and with functions as bounds. 8. The reverse power rule, u-substitution, and integration by parts 9. Antiderivatives of all the previously mentioned functions 10. Improper integrals 11. Finding the average value of a function on an interval 12. Connecting position, velocity, and acceleration functions using integrals 13. Using accumulation functions and definite integrals in applied contexts 14. Finding the area between curves expressed as functions of x 15. Finding the area between curves expressed as functions of y 16. Finding the area between curves that intersect at more than two points 17. Volumes with cross sections: squares and rectangles 18. Volumes with cross sections: triangles and semicircles 19. Volume with disc method: revolving around x- or y-axis 20. Volume with disc method: revolving around other axes 21. Volume with washer method: revolving around x- or y-axis 22. Volume with washer method: revolving around other axes 23. The arc length of a smooth, planar curve and distance traveled 24. Calculator-active practice DIFFERENTIAL EQUATIONS (UNIT 2): 1. Modeling situations with differential equations 2. Verifying solutions for differential equations 3. Sketching slope fields 4. Reasoning using slope fields 5. Approximating solutions using Euler’s method 6. Finding general solutions using separation of variables 7. Finding particular solutions using initial conditions and separation of variables 8. Exponential models with differential equations 9. Logistic models with differential equations PARAMETRIC EQUATIONS AND VECTOR-VALUED FUNCTIONS (UNIT 3): 1. Defining and differentiating parametric equations 2. Second derivatives of parametric equations 3. Finding arc lengths of curves given by parametric equations 4. Defining and differentiating vector-valued functions 5. Solving motion problems using parametric and vector-valued functions 6. Defining polar coordinates and differentiating in polar form 7. Finding the area of a polar region or the area bounded by a single polar curve 8. Finding the area of the region bounded by two polar curves 9. Calculator-active practice INFINITE SERIES (UNIT 4): 1. Defining convergent and divergent infinite series 2. Working with geometric series 3. The nth-term test for divergence 4. Integral test for convergence 5. Harmonic series and p-series 6. Comparison tests for convergence 7. Alternating series test for convergence 8. Ratio test for convergence 9. Determining absolute or conditional convergence 10. Alternating series error bound 11. Finding Taylor polynomial approximations of functions 12. Lagrange error bound 13. Radius and interval of convergence of power series 14. Finding Taylor or Maclaurin series for a function 15. Representing functions as power series

In this series we will cover the proofs behind well known theorems in Calculus. Learners will learn the techniques and strategies involved in proving and deriving mathematical theorems, as well as achieve a deeper understanding of each theorem they prove. Learners will engage by answering questions and doing exercises that will guide them to understand the proofs.

Join the AP Calculus Mastery course and master every aspect of Calculus 2. Through rigorous practice, detailed explanations, and interactive discussions, I'll prepare you for a 5 score on the AP Calculus BC Exam. Sessions, typically are 1 hour long, and focus on solving practice problems, supplemented with extra explanations & justifications. The goal is to finish the course before the end of summer but at least finish enough content where you're still a step ahead before the school year begins. I will guide you through each problem, offer clear explanations, and foster collaborative learning. Get ready to excel this summer!

Hello! Welcome to the AP Calculus AB Crash Course! In this series, we'll aim to get through the entire AP Calculus AB course. I'll also give you tips on how to prepare for the class & exam! Each session will have a unique focus that will be outlined in the individual descriptions. Generally, we'll do some notes followed with some fun, interactive practice! Also, please make sure you have a basic understanding of Algebra & Pre-Calculus. It's completely okay if you struggle with some Pre-Calculus topics, but a strong understanding of Algebra (especially solving equations) is really important. As we go on this learning journey together, I hope that you end up enjoying Calculus as much as I do! PS - I'll keep adding sessions as we go along! :)

The series will cover an introduction for those intending to take Calculus BC in the coming school year. There will be five sessions throughout the series: Session 1: Limits and continuity Session 2: Differentiation and the basic definition of a derivative Session 3: Differentiation extended--chain rule, implicit differentiation, and higher-order derivatives Session 4: Applications of derivatives--Rates of change, related rates, linearization, and L'Hopital's rule Session 5: Analysis of functions through derivatives--extrema and concavity In between sessions will be office hours where learners can come for extra questions.

We will go through every unit of the AP Calculus AB Exam. There will be both lectures and practice tests to prepare for both the school-year and the AP exam. It will be a fast-paced class, in order to try to cover everything.

This five-week series will function with a flipped classroom - meaning you'll learn topics in your own time, practicing and ask questions during the sessions. This series is designed to be very fast paced and learner-oriented, so expect to be active in sessions and dedicate some time to learning whenever it fits your own schedule! I will not be giving lectures. Communication through microphone is preferred, but I understand completely if you would rather use the chat. Sessions will be twice a week on Wednesdays and Sundays at 7:30 PM PT. The plan is to cover the AP Calculus AB curriculum by mid-August. If you plan on registering as a learner, please read the following: Outside sessions: - Watch videos and do Khan Academy practice problems - Write a problem and solution (this isn't nearly as hard as it sounds, don't fret!) During sessions: - We'll start off by checking in to see if there's any specific questions from learners - Learners will pick a topic from what we're covering that session and give a brief explanation, presenting their practice problem (other learners will try to solve it and give feedback on the problem) - We'll wrap everything up with some more practice problems! This can all sound very intimidating at first, but it'll get easier with practice! AP Calculus AB can be challenging, and I hope that this series helps serve to prepare for that challenge during the school year. Resources are currently TBD. Co-hosts welcome (please DM first)!

This course is for those who are taking AP Calculus AB/BC during the 2024-2025 school year and would like to prepare!

In this series we will be going over the AP Calculus AB/BC curriculum in a lecture-style format with tons of practice along the way. This series is perfect for anyone taking AP Calculus in the upcoming school year as we’ll spend time on various concepts to not only get you ready for AP Calc, but to fully understand it for the AP national Exam. Note: All sessions have not been added, however there are only 4 more (reflected on syllabus). This series will end on August 22, 2024 -- Syllabus: [https://www.dropbox.com/scl/fi/pycxtn037zvay601f15zd/Syllabus-AP-Calc-Summer-2024-Bootcamp-3.pdf?rlkey=imq7wbft89tb08uc96wdb0x60&e=1&st=5bgmngz4&dl=0](https://www.dropbox.com/scl/fi/pycxtn037zvay601f15zd/Syllabus-AP-Calc-Summer-2024-Bootcamp-3.pdf?rlkey=imq7wbft89tb08uc96wdb0x60&e=1&st=5bgmngz4&dl=0) [](https://www.dropbox.com/scl/fi/pycxtn037zvay601f15zd/Syllabus-AP-Calc-Summer-2024-Bootcamp-3.pdf?rlkey=imq7wbft89tb08uc96wdb0x60&e=1&st=5bgmngz4&dl=0) Course structure: Instead of using existing lecture notes or following the order of the AP Calc curriculum, I have optimized the structure of our sessions so that we maximize the time learning important concepts and for understanding them. At the end, you will end up learning majority of the course. And by doing the practice problem sets (discussed later), you could master the entire curriculum. Lecture Notes: These will be posted in advance of about 2-3 sessions. You do not have to worry about printing them as they would be very minimal and I promote the idea of writing as I go so we all can stay at a good pace. Please write along as I do so that you can take the complete benefit of our sessions. Practice Problem Set and Homework: While each session will be done with the assumption that you haven't done the practice problems, they are still there for your benefit. However, in my many semesters of being in calculus classes, those who grind practice problems are the most successful. There is almost a direct correlation. Note about structure of sessions: Even though they are just 1hr 15min, I have left 45 minutes after our session for those who want to stay and ask me questions and/or go over additional practice. I will be available entirely from 3pm to 5pm. But for those who are feeling fine can leave freely! [](https://www.dropbox.com/scl/fi/pycxtn037zvay601f15zd/Syllabus-AP-Calc-Summer-2024-Bootcamp-3.pdf?rlkey=imq7wbft89tb08uc96wdb0x60&e=1&st=5bgmngz4&dl=0) Questions/Talk to me: I will dedicate my time to entirely ensuring that every student in my session is able to understand the concepts completely. I will always be available to ensure that you understand the concepts and practice problems. And if you have any other questions about high school, college admissions, etc, feel free to let me know!

Goal: Headstart during the summer For: Anyone who are taking AP Calculus AB/BC next year and want to headstart before the school Date: this series will start on July 22nd and will last for 4 weeks(2 classes per week). Class Time: 90 min per class In this series, we will go over the first 5 units of the AP Calculus AB/BC curriculum. 1. Unit 1: Limits and Continuity(1 days) 2. Unit 2: Differentiation: Definition and Basic Derivative Rules(3 days) 3. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions(2 days) 4. Unit 4: Contextual Applications of Differentiation(2 days) 5. Last session: AP FRQ & MCQ review Class Overview: 1. 3-5 Warm-up questions (review for last session or Pre-calc/Algebra) 2. Lecture with slideshow (will provide pdf notes if you need) 3. AP MCQ at the end of the each class 4. Makeup session will be announced in each class Outside Session: 1. Khan Academy 2. Organic Chemistry Tutor

READ FULLY! Hey there! I am Kishan, a rising senior. I enjoy math a lot, particularly calculus - which I developed an interest for in 10th grade. I am currently halfway through teaching myself Calc III and a certified calculus tutor in Schoolhouse. This series is a relatively fast paced course that will cover the entirety of the AP Calculus AB/BC curriculum. We will start from the ground up, introducing ourselves to limits, derivatives, integrals, etc...So, if you are here to learn BC, consider skipping until UNIT 5. Hope you enjoy me as your tutor. I am going to add sessions as we go through the series.

Trying to get ready for Calc BC next year? In this series, we will go over Unit 1 (limits and continuity) and some of Unit 2 (derivatives). Hope to see you guys soon! You can find the slides to our sessions here: [https://docs.google.com/presentation/d/1rcU2Ts1j-JXey5LefOXhrOrBe8TUETq2u9CU6RbV4sc/edit?usp=sharing](https://docs.google.com/presentation/d/1rcU2Ts1j-JXey5LefOXhrOrBe8TUETq2u9CU6RbV4sc/edit?usp=sharing)