Become a Calculus 2 Master
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# Become a Calculus 2 Master

Learn everything from Calculus 2, then test your knowledge on 400+ quiz questions
4.7 (303 ratings)
7,185 students enrolled
Created by Krista King
Last updated 9/2017
English
English [Auto-generated]
Current price: \$10 Original price: \$150 Discount: 93% off
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Includes:
• 31.5 hours on-demand video
• 151 Articles
• 179 Supplemental Resources
• Full lifetime access
• Access on mobile and TV
• Certificate of Completion
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
View Curriculum
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
+
Getting started
2 Lectures 01:39
Quick overview before we get underway
01:21

Download the Calc 2 formula sheet
00:18
+
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

Preview 06:53

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
+
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
+
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

Preview 09:00

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
+
Integrals - Other approximation methods
8 Lectures 01:00:19
Introduction to other approximation methods
00:21

Preview 10:07

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
+
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
+
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
+
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
+
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
+
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
32 More Sections
About the Instructor
 4.6 Average rating 3,317 Reviews 18,920 Students 7 Courses
Your geeky, trusty math tutor

Math class was always so frustrating.

I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.

I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.