# Become a Calculus 2 Master

### What you will learn

Integrals, including approximating area, the dreaded Fundamental Theorem of Calculus, and every kind of integration technique Applications of Integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications Polar & Parametric, including how to sketch polar curves and find the area bounded by polar curves Sequences & Series, including all the convergence tests, and Taylor and Maclaurin series

## Curriculum

## Section 1: Getting started

## Section 2: Integrals - Antiderivatives and indefinite integrals

## Section 3: Integrals - Definite integrals

## Section 4: Integrals - Riemann sums

## Section 5: Integrals - Other approximation methods

## Section 6: Integrals - Fundamental theorem of calculus

## Section 7: Integrals - U-substitution

## Section 8: Integrals - Integration by parts

## Section 9: Integrals - Partial fractions

## Section 10: Integrals - Trigonometric integrals

## Section 11: Integrals - Hyperbolic integrals

## Section 12: Integrals - Trigonometric substitution

## Section 13: Integrals - Improper integrals

## Section 14: Integrals - Reduction formulas

## Section 15: Applications of Integrals - Area between curves

## Section 16: Applications of Integrals - Arc length

## Section 17: Applications of Integrals - Average value

## Section 18: Applications of Integrals - Surface area of revolution

## Section 19: Applications of Integrals - Volume of revolution

## Section 20: Applications of Integrals - Work

## Section 21: Applications of Integrals - Physics

## Section 22: Applications of Integrals - Geometry

## Section 23: Applications of Integrals - Economics

## Section 24: Applications of Integrals - Probability

## Section 25: Applications of Integrals - Biology

## Section 26: Polar & Parametric - Introduction to parametric curves

## Section 27: Polar & Parametric - Calculus with parametric curves

## Section 28: Polar & Parametric - Introduction to polar curves

## Section 29: Polar & Parametric - Calculus with polar curves

## Section 30: Sequences & Series - Introduction to sequences

## Section 31: Sequences & Series - Partial sums

## Section 32: Sequences & Series - Geometric series

## Section 33: Sequences & Series - Telescoping series

## Section 34: Sequences & Series - Basic convergence tests

## Section 35: Sequences & Series - Comparison tests

## Section 36: Sequences & Series - Ratio and root tests

## Section 37: Sequences & Series - Alternating series test

### Course Description

HOW BECOME A CALC 2 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY This 531-lesson course includes video and text explanations of everything in Calculus 2, and it includes more than 175 quizzes (with solutions!) to help you test your understanding along the way. Become a Calculus 2 Master is organized into four sections: Integrals Applications of Integrals Polar & Parametric Sequences & Series These are four of the most common chapters in every Calculus 2 class. And here’s what you get inside of every lesson: Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it. Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t. Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of our quizzes. If you pass, wonderful. If not, you can review the videos and notes again or ask me for help in the Q&A section. HERE'S WHAT SOME STUDENTS OF CALCULUS 2 MASTER HAVE TOLD ME: “Excellent Quality course. I just finished Calculus 1 and wanted to start learning calculus 2. The instructor gives you quick feedback and is very clear on every example she posts. I highly recommend this course for anyone who wants to learn more about integrals.” - Nick Z. “This is a superior course. I have taken MOOC Calculus courses now through Ohio State, and MIT (also superior). Krista King is an excellent instructor, with superior knowledge, and nails down precisely what one needs to know, and also provides superior supportive notes.” - Snowcrash “Krista is saving my butt in my Calc2 class. I always review her videos and do practice problems before my quizzes and exams.” - Nye W. “Krista's energy and thoroughness make sitting through an explanation simple and motivating. There are loads of examples, with quizzes to check your progress, and detailed explanations on ALL the quiz questions. Plus she answers questions quickly and is very professional! Worth every penny, bought her whole series. It will also help with physics and economics, as she includes relevant explanations and exercises for applications in those topics as well. Got an A in calc 1 online because of her calc 1 course, and now I have gotten an A in calc 2 online as a first time student of it and in a summer semester (shortened!) Thank god I have her calc 3 course, I know I will need it next semester!” - Jennifer L. “I just can't get over how well she teaches her classes. I have now taken all 3 of her Calculus classes and I really do have a strong understanding of calculus concepts. If only more people could teach the way she does. These concepts that seem so hard she has made easy and clear. My favorite part are the quizzes. She has just enough gotcha's to really get you thinking and remembering concepts. I really just cannot say enough good things about this course and the teacher!” - Morgan G. “The instructor goes through every little step no matter how minor. It makes learning the material fun! Thank you so much for this wonderful and detailed course!” - Immanuel W. “This is the second of three courses I have purchased from Krista and she does an incredible job of breaking down the complicated concepts into easy to understand steps. Her courses are very thorough and include a variety of different methods of instruction. Well thought out course. Thank you Krista!!!” - John C. Who is the target audience? Anyone who's completed Calc 1 and wants to take the next step Current calculus students, or students about to start Calc 2 who are looking to get ahead Homeschool parents looking for extra support with calculus Anyone who wants to study calculus for fun after being away from school for a while