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Calculus • Series

AP Calculus BC (Calculus II) concepts

Navya M

Series Details

Sessions

Public Discussion

This series ended on August 17, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

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!

✋ ATTENDANCE POLICY

Please attend all sessions as they build upon each other. There will be no homework or work to do outside sessions, so attending each session is HIGHLY RECOMMENDED.

Dates

July 8 - August 17

Learners

15 / 15

Total Sessions

29

About the Tutor

Hi! I'm Navya and I hope to be able to help students from around the world with their academics, while working avidly on my own 😀. Feel free to reach out to me for any academic help. My qualifications are;- 1. A consistent 97%+ aggregate in my exams over the past few years📄 2. Wrote and published a book at the age of 10 📗 3. Have various leadership positions at school and enjoy working with others! 🏫 and more! Looking forward to seeing you in my sessions! I often host live help IST, so feel free to drop in there to ask your questions. I also host sessions on pre-algebra, algebra 1, algebra 2, CBSE grade 9 and 10.

View Navya M's Profile

Upcoming Sessions

0

Past Sessions

29
8
Jul

Session 1

Other Topics

Welcome to the series! Introduction and Techniques of Integration: Integration by Parts
9
Jul

Session 2

Other Topics

Integration involving trig functions
10
Jul

Session 3

Other Topics

Integration involving trig substitutions
11
Jul

Session 4

Other Topics

Integration by Partial Fractions
12
Jul

Session 5

Other Topics

Integrals involving roots
13
Jul

Session 6

Other Topics

Integrals involving quadratics
14
Jul

Session 7

Other Topics

Integration Strategy - MORE SESSIONS TO BE ADDED
15
Jul

Session 8

Other Topics

Improper Integrals
16
Jul

Session 9

Other Topics

Integration Strategy
17
Jul

Session 10

Other Topics

Improper Integrals
18
Jul

Session 11

Other Topics

Comparison Test for Improper Integrals
19
Jul

Session 12

Other Topics

Approximating Definite Integrals
22
Jul

Session 13

Other Topics

Estimating Definite Integrals

23
Jul

Session 14

Other Topics

Arc Length using integration
24
Jul

Session 15

Other Topics

Surface area using integration
26
Jul

Session 16

Other Topics

Probability using integration
27
Jul

Session 17

Other Topics

Introduction to Parametric Equations
28
Jul

Session 18

Parametric equations, polar coordinates, and vector-valued functions

tangents and parametric curves
29
Jul

Session 19

Parametric equations, polar coordinates, and vector-valued functions

Area with parametric equations
30
Jul

Session 20

Parametric equations, polar coordinates, and vector-valued functions

Arc length with parametric equations
31
Jul

Session 21

Parametric equations, polar coordinates, and vector-valued functions

Surface area with parametric equations
1
Aug

Session 22

Parametric equations, polar coordinates, and vector-valued functions

Polar Coordinates
2
Aug

Session 23

Parametric equations, polar coordinates, and vector-valued functions

Tangents with polar coordinates
3
Aug

Session 24

Parametric equations, polar coordinates, and vector-valued functions

Area with polar coordinates
4
Aug

Session 25

Parametric equations, polar coordinates, and vector-valued functions

Arc length with polar coordinates
6
Aug

Session 26

Other Topics

Introduction to Sequences
7
Aug

Session 27

Other Topics

More on sequences
8
Aug

Session 28

Parametric equations, polar coordinates, and vector-valued functions

Surface area using polar coordinates and Review of Parametric Equations and Polar Coordinates
17
Aug

Session 29

Other Topics

introduction to sequences

Public Discussion

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