2017-08-14 16:00:06

Become a Calculus 2 Master

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Learn everything from Calculus 2, then test your knowledge on 400+ quiz questions

7,185 students enrolled

What Will I 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 applciations
- 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

Requirements

- A good foundation in Calc 1 (limits, derivatives) is required for this course.

Description

**HOW BECOME A CALC 2 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY**

This 450-lesson course includes video and text explanations of everything in calculus 2, and it includes more than 100 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

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Curriculum For This Course

353 Lectures

31:49:59
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Getting started
2 Lectures
01:39

Quick overview before we get underway

01:21

Download the Calc 2 formula sheet

00:18

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–

Integrals - Antiderivatives and indefinite integrals
10 Lectures
44:39

Introduction to antiderivatives and indefinite integrals

00:21

Video introduction to integrals.

Preview
05:10

Course notes for indefinite integrals.

Indefinite integrals

00:01

Indefinite integrals calculus video example.

Preview
06:10

Indefinite integrals

2 questions

Properties of integrals calculus video example.

Properties of integrals

05:34

Properties of integrals

2 questions

Find f given f'' calculus video example.

Find f given f''

04:42

Find f given f''

2 questions

Find f given f''' calculus video example.

Find f given f'''

07:19

Find f given f'''

2 questions

Course notes for initial value problems.

Initial value problems

00:01

Initial value problems

2 questions

Find f given f'' and initial conditions calculus video example.

Find f given f'' and initial conditions

08:26

Find f given f'' and initial conditions

2 questions

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–

Integrals - Definite integrals
7 Lectures
24:05

Introduction to definite integrals

00:21

Course notes for definite integrals.

Definite integrals

00:02

Definite integrals

05:06

Definite integrals

2 questions

Area under vs. enclosed by the graph calculus video example.

Preview
05:55

Area under or enclosed by the graph

2 questions

Course notes for even and odd functions.

Definite integrals of even and odd functions

00:02

Definite integrals of even functions calculus video example.

Definite integrals of even functions

05:00

Definite integrals of even functions

2 questions

Definite integrals of odd functions calculus video example.

Definite integrals of odd functions

07:38

Definite integrals of odd functions

2 questions

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–

Integrals - Riemann sums
8 Lectures
47:05

Introduction to riemann sums

00:21

Finding the sum with summation notation calculus video example.

Summation notation, finding the sum

03:46

Summation notation, finding the sum

2 questions

Expanding the sum with summation notation calculus video example.

Summation notation, expanding

03:19

Summation notation, expanding

2 questions

Collapsing the sum with summation notation calculus video example.

Summation notation, collapsing

05:02

Summation notation, collapsing

2 questions

Course notes for riemann sums.

Riemann sums

00:01

Riemann sums, left endpoints

2 questions

Riemann sums, right endpoints

15:15

Riemann sums, right endpoints

2 questions

Riemann sums and midpoints calculus video example.

Riemann sums, midpoints

10:21

Riemann sums, midpoints

2 questions

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–

Integrals - Other approximation methods
8 Lectures
01:00:19

Introduction to other approximation methods

00:21

Over and underestimation

2 questions

Limit process to find area on [a,b]

16:05

Limit process to find area on [a,b]

2 questions

Limit process to find area on [-a,a]

12:49

Limit process to find area on [-a,a]

2 questions

Course notes for trapezoidal rule.

Trapezoidal rule

00:01

Trapezoidal rule calculus video example.

Trapezoidal rule

10:30

Trapezoidal rule

2 questions

Course notes for simpson's rule.

Simpson's rule

00:01

Simpson's rule calculus video example.

Simpson's rule

10:24

Simpson's rule

2 questions

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–

Integrals - Error bounds
5 Lectures
01:03:06

Introduction to error bounds

00:21

Error bounds

00:02

Midpoint rule error bound

22:17

Midpoint rule error bound

2 questions

Trapezoidal rule error bound

20:52

Trapezoidal rule error bound

2 questions

Simpson's rule error bound

19:34

Simpson's rule error bound

2 questions

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–

Integrals - Fundamental theorem of calculus
6 Lectures
25:57

Introduction to fundamental theorem of calculus

00:21

Course notes for part 1 of the fundamental theorem of calculus.

Part 1

00:02

Fundamental theorem of calculus (part 1) calculus video example.

Part 1

11:32

Part 1

2 questions

Course notes for part 2 of the fundamental theorem of calculus.

Part 2

00:01

Fundamental theorem of calculus (part 2) calculus video example.

Part 2

07:26

Part 2

2 questions

Net change theorem calculus video example.

Net change theorem

06:34

Net change theorem

2 questions

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Integrals - U-substitution
5 Lectures
19:04

Introduction to u-substitution

00:20

Course notes for u-substitution.

U-substitution

00:03

U-substitution calculus video example.

U-substitution

08:03

U-substitution

2 questions

Course notes for u-substitution in definite integrals.

U-substitution in definite integrals

00:01

U-substitution in definite integrals calculus video example.

U-substitution in definite integrals

10:36

U-substitution in definite integrals

2 questions

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–

Integrals - Integration by parts
10 Lectures
57:16

Introduction to integration by parts

00:21

Course notes for integration by parts.

Integration by parts

00:02

Integration by parts calculus video example.

Preview
07:45

Integration by parts

2 questions

Course notes for integration by parts two times.

Integration by parts two times

00:03

Integration by parts (two times) calculus video example.

Integration by parts two times

13:35

Integration by parts two times

2 questions

Integration by parts (three times) calculus video example.

Integration by parts three times

10:30

Integration by parts three times

2 questions

Integration by parts with u-substitution calculus video example.

Integration by parts with u-substitution

08:55

Integration by parts with u-substitution

2 questions

Using integration by parts to prove the reduction formula calculus video example.

Prove the reduction formula

07:13

Course notes for tabular integration.

Tabular integration

00:03

Tabular integration calculus video example.

Tabular integration

08:48

Tabular integration

2 questions

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Integrals - Partial fractions
15 Lectures
02:47:24

Introduction to partial fractions

00:21

Course notes for partial fractions.

Partial fractions

00:13

Partial fractions with distinct linear factors calculus video example.

Distinct linear factors

12:39

Partial fractions with distinct linear factors calculus video example.

Distinct linear factors, example 2

08:59

Partial fractions with distinct linear factors calculus video example.

Distinct linear factors, example 3

08:37

Distinct linear factors

2 questions

Partial fractions with distinct quadratic factors calculus video example.

Distinct quadratic factors

16:03

Partial fractions with distinct quadratic factors calculus video example.

Distinct quadratic factors, example 2

16:05

Partial fractions with distinct quadratic factors calculus video example.

Distinct quadratic factors, example 3

08:15

Distinct quadratic factors

2 questions

Partial fractions with repeated linear factors calculus video example.

Repeated linear factors

12:37

Repeated linear factors

2 questions

Partial fractions with repeated quadratic factors calculus video example.

Repeated quadratic factors

14:34

Repeated quadratic factors calculus video example.

Repeated quadratic factors, example 2

16:40

Repeated quadratic factors

2 questions

Course notes for rationalizing substitutions.

Rationalizing substitutions

00:02

Rationalizing substitutions for partial fractions calculus video example.

Rationalizing substitutions

12:29

Rationalizing substitutions

2 questions

How to factor difficult denominators for partial fractions calculus video example.

How to factor a difficult denominator

20:21

Two ways to find the constants for partial fractions calculus video example.

Two ways to find the constants

19:28

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About the Instructor