Mô tả

HOW BECOME A CALCULUS 2 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 557-lesson course includes video and text explanations of everything from Calculus 2, and it includes 180 quizzes (with solutions!) and an additional 20 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 2 Master is organized into the following sections:

  • Integrals

  • Applications of Integrals

  • Polar & Parametric

  • Sequences & Series



AND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:

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 the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.




HERE'S WHAT SOME STUDENTS OF BECOME A 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.



YOU'LL ALSO GET:

  • Lifetime access to Become a Calculus 2 Master

  • Friendly support in the Q&A section

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee


Enroll today!

I can't wait for you to get started on mastering calculus 2.

- Krista :)



Bạn sẽ học được gì

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

Yêu cầu

  • You should have a decent foundation (but it doesn't have to be perfect! :D) in Algebra.
  • If you have some experience with Trigonometry and Precalculus, that will definitely be helpful, but it's not absolutely necessary.
  • A good foundation in Calculus 1 (limits and derivatives) is required for this course.

Nội dung khoá học

42 sections

Getting started

4 lectures
What we'll learn in this course
04:18
How to get the most out of this course
01:26
Download the formula sheet
00:19
The EVERYTHING download
00:24

Integrals - Antiderivatives and indefinite integrals

17 lectures
Introduction to antiderivatives and indefinite integrals
00:21
Antiderivatives and indefinite integrals
05:10
Indefinite integrals
00:00
Indefinite integrals
06:10
Indefinite integrals
3 questions
Properties of integrals
05:34
Properties of integrals
3 questions
Find f given f''
04:42
Find f given f''
3 questions
Find f given f'''
07:19
Find f given f'''
3 questions
Initial value problems
00:00
Initial value problems
06:53
Initial value problems
3 questions
Find f given f'' and initial conditions
08:26
Find f given f'' and initial conditions
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Definite integrals

10 lectures
Introduction to definite integrals
00:20
Definite integrals
00:00
Definite integrals
05:06
Definite integrals
3 questions
Area under or enclosed by the graph
05:55
Area under or enclosed by the graph
3 questions
Definite integrals of even and odd functions
00:00
Definite integrals of even and odd functions
10:30
Definite integrals of even and odd functions
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Riemann sums

15 lectures
Introduction to riemann sums
00:20
Summation notation, finding the sum
03:46
Summation notation, finding the sum
3 questions
Summation notation, expanding
03:19
Summation notation, expanding
3 questions
Summation notation, collapsing
05:02
Summation notation, collapsing
3 questions
Riemann sums
Processing..
Riemann sums, left endpoints
09:00
Riemann sums, left endpoints
3 questions
Riemann sums, right endpoints
15:15
Riemann sums, right endpoints
3 questions
Riemann sums, midpoints
10:21
Riemann sums, midpoints
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Other approximation methods

14 lectures
Introduction to other approximation methods
00:20
Over and underestimation
10:07
Over and underestimation
3 questions
Limit process to find area on [a,b]
16:05
Limit process to find area on [a,b]
3 questions
Limit process to find area on [-a,a]
12:49
Limit process to find area on [-a,a]
3 questions
Trapezoidal rule
00:00
Trapezoidal rule
10:30
Trapezoidal rule
3 questions
Simpson's rule
00:00
Simpson's rule
10:24
Simpson's rule
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Error bounds

9 lectures
Introduction to error bounds
00:20
Error bounds
00:00
Midpoint rule error bound
22:17
Midpoint rule error bound
3 questions
Trapezoidal rule error bound
20:49
Trapezoidal rule error bound
3 questions
Simpson's rule error bound
19:43
Simpson's rule error bound
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Fundamental theorem of calculus

10 lectures
Introduction to fundamental theorem of calculus
00:21
Part 1
00:00
Part 1
11:32
Part 1
3 questions
Part 2
Processing..
Part 2
07:26
Part 2
3 questions
Net change theorem
06:34
Net change theorem
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - U-substitution

8 lectures
Introduction to u-substitution
00:20
U-substitution
00:00
U-substitution
08:03
U-substitution
3 questions
U-substitution in definite integrals
00:00
U-substitution in definite integrals
10:36
U-substitution in definite integrals
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Integration by parts

16 lectures
Introduction to integration by parts
00:20
Integration by parts
00:00
Integration by parts
07:45
Integration by parts
3 questions
Integration by parts two times
00:00
Integration by parts two times
13:36
Integration by parts two times
3 questions
Integration by parts three times
10:30
Integration by parts three times
3 questions
Integration by parts with u-substitution
08:55
Integration by parts with u-substitution
3 questions
Prove the reduction formula
07:13
Tabular integration
00:00
Tabular integration
08:48
Tabular integration
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Partial fractions

19 lectures
Introduction to partial fractions
00:20
Partial fractions
00:00
Distinct linear factors
12:39
Distinct linear factors, example 2
08:59
Distinct linear factors, example 3
08:37
Distinct linear factors
3 questions
Distinct quadratic factors
16:03
Distinct quadratic factors, example 2
16:05
Distinct quadratic factors, example 3
08:15
Distinct quadratic factors
3 questions
Repeated linear factors
12:37
Repeated linear factors
3 questions
Repeated quadratic factors
14:34
Repeated quadratic factors, example 2
16:40
Repeated quadratic factors
3 questions
Rationalizing substitutions
00:00
Rationalizing substitutions
12:29
Rationalizing substitutions
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Trigonometric integrals

23 lectures
Introduction to trigonometric integrals
00:20
Trigonometric integrals
00:00
Trigonometric integrals
03:09
Trigonometric integrals, example 2
11:07
Trigonometric integrals
3 questions
sin^m cos^n, odd m
09:58
sin^m cos^n, odd m
3 questions
sin^m cos^n, odd n
11:04
sin^m cos^n, odd n
3 questions
sin^m cos^n, m and n even
07:19
sin^m cos^n, m and n even
3 questions
tan^m sec^n, odd m
05:24
tan^m sec^n, odd m
3 questions
tan^m sec^n, even n
05:29
tan^m sec^n, even n, example 2
05:16
tan^m sec^n, even n
3 questions
sin(mx) cos(nx)
03:37
sin(mx) cos(nx)
3 questions
sin(mx) sin(nx)
04:12
sin(mx) sin(nx)
3 questions
cos(mx) cos(nx)
04:22
cos(mx) cos(nx)
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Hyperbolic integrals

8 lectures
Introduction to hyperbolic integrals
00:20
Hyperbolic integrals
00:00
Hyperbolic integrals
02:13
Hyperbolic integrals
3 questions
Inverse hyperbolic integrals
00:00
Inverse hyperbolic integrals
03:53
Inverse hyperbolic integrals
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Trigonometric substitution

16 lectures
Introduction to trigonometric substitution
00:20
Trigonometric substitution
00:00
Trigonometric substitution setup
13:12
Trigonometric substitution setup
3 questions
Trigonometric substitution with secant
13:35
Trigonometric substitution with secant
3 questions
Trigonometric substitution with sine
12:21
Trigonometric substitution with sine, example 2
14:48
Trigonometric substitution with sine
3 questions
Trigonometric substitution with tangent
14:48
Trigonometric substitution with tangent, example 2
21:36
Trigonometric substitution with tangent
3 questions
Quadratic functions
00:00
Quadratic functions
14:03
Quadratic functions
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Improper integrals

19 lectures
Introduction to improper integrals
00:20
What makes an integral improper?
04:33
Improper integrals
00:00
Case 1 [a,infinity)
07:42
Case 1 [a,infinity)
3 questions
Case 2 (-infinity,b]
05:39
Case 2 (-infinity,b]
3 questions
Case 3 (-infinity,infinity)
12:20
Case 3 (-infinity,infinity)
3 questions
Case 4 (discontinuity at b)
06:58
Case 4 (discontinuity at b)
3 questions
Case 5 (discontinuity at a)
06:50
Case 5 (discontinuity at a)
3 questions
Case 6 (discontinuity between a and b)
08:37
Case 6 (discontinuity between a and b)
3 questions
Comparison theorem
00:00
Comparison theorem
11:17
Comparison theorem
3 questions
BONUS! Extra practice problems. :)
00:26

Integrals - Reduction formulas

4 lectures
Introduction to reduction formulas
00:20
Integrals using reduction formulas
07:13
Integrals using reduction formulas
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Area between curves

11 lectures
Introduction to area between curves
00:20
Area between curves
00:00
Upper and lower curves
10:29
Upper and lower curves
3 questions
Left and right curves
07:03
Left and right curves
3 questions
Sketching the area between curves
10:43
Sketching the area between curves
3 questions
Dividing the area between curves into equal parts
11:42
Dividing the area between curves into equal parts
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Arc length

8 lectures
Introduction to arc length
00:20
Arc length
00:00
Arc length of a curve in the form y=f(x)
07:41
Arc length of a curve in the form y=f(x)
3 questions
Arc length of a curve in the form x=g(y)
11:08
Arc length of a curve in the form x=g(y)
3 questions
Arc length using simpson's rule
10:20
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Average value

8 lectures
Introduction to average value
00:20
Average value
00:00
Average value
06:00
Average value
3 questions
Mean value theorem for integrals
00:00
Mean value theorem for integrals
03:58
Mean value theorem for integrals
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Surface area of revolution

8 lectures
Introduction to surface area of revolution
00:21
Surface area of revolution
00:00
Surface area of revolution
09:34
Surface area of revolution using simpson's ule
11:44
Surface area of revolution
3 questions
Surface of revolution equation
05:08
Surface of revolution equation
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Volume of revolution

22 lectures
Introduction to volume of revolution
00:20
Disks
Processing..
Disks, horizontal axis
08:45
Disks, horizontal axis
3 questions
Disks, vertical axis
09:47
Disks, vertical axis, example 2
06:25
Disks, vertical axis
2 questions
Disks, volume of the frustum
17:51
Disks, volume of the frustum
3 questions
Washers
00:00
Washers, horizontal axis
10:53
Washers, horizontal axis, example 2
08:01
Washers, horizontal axis
3 questions
Washers, vertical axis
10:20
Washers, vertical axis
3 questions
Cylindrical shells
00:00
Cylindrical shells, horizontal axis
11:07
Cylindrical shells, horizontal axis
3 questions
Cylindrical shells, vertical axis
13:24
Cylindrical shells, vertical axis, example 2
10:48
Cylindrical shells, vertical axis
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Work

14 lectures
Introduction to work
00:20
Work done to lift a mass or weight
00:00
Work done to lift a mass or weight
07:39
Work done to lift a mass or weight
3 questions
Work done on elastic springs
00:00
Work done on elastic springs
08:15
Work done on elastic springs
3 questions
Work done to empty a tank
00:00
Work done to empty a tank
18:29
Work done to empty a tank
3 questions
Work done by a variable force
00:00
Work done by a variable force
04:08
Work done by a variable force
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Physics

22 lectures
Introduction to physics
00:20
Moments and center of mass of the system
00:00
Moments of the system
05:54
Moments of the system
3 questions
Moments of the system, x-axis
02:55
Moments of the system, x-axis
3 questions
Center of mass of the system
03:16
Center of mass of the system
3 questions
Center of mass of the system, x-axis
02:25
Center of mass of the system, x-axis
2 questions
Hydrostatic pressure and force
00:00
Hydrostatic pressure
04:57
Hydrostatic pressure
3 questions
Hydrostatic force
10:07
Hydrostatic force
3 questions
Vertical motion
Processing..
Vertical motion
09:50
Vertical motion
3 questions
Rectilinear motion
00:00
Rectilinear motion
05:16
Rectilinear motion
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Geometry

7 lectures
Introduction to geometry
00:20
Centroids of plane regions
00:00
Centroids of plane regions
09:02
Centroids of plane regions
3 questions
Area of the triangle with the given vertices
11:35
Area of the triangle with the given vertices
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Economics

18 lectures
Introduction to economics
00:20
Present and future value
00:00
Single deposit, compounded n times, future value
04:40
Single deposit, compounded n times, future value
3 questions
Single deposit, compounded n times, present value
10:39
Single deposit, compounded n times, present value
2 questions
Single deposit, compounded continuously, future value
02:18
Single deposit, compounded continuously, future value
3 questions
Single deposit, compounded continuously, present value
07:19
Single deposit, compounded continuously, present value
3 questions
Income stream, compounded continuously, future value
06:16
Income stream, compounded continuously, future value
3 questions
Income stream, compounded continuously, present value
03:36
Income stream, compounded continuously, present value
3 questions
Consumer and producer surplus
00:00
Consumer and producer surplus
07:11
Consumer and producer surplus
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Probability

5 lectures
Introduction to probability
00:20
Probability density
00:00
Probability density
06:45
Probability density
3 questions
BONUS! Extra practice problems. :)
00:26

Applications of Integrals - Biology

9 lectures
Introduction to biology
00:20
Cardiac output
08:29
Cardiac output
3 questions
Poiseuille's law
02:25
Poiseuille's law
3 questions
Theorem of pappus
Processing..
Theorem of pappus
12:23
Theorem of pappus
3 questions
BONUS! Extra practice problems. :)
00:26

Polar & Parametric - Parametric curves

14 lectures
Introduction to parametric curves
00:21
Eliminating the parameter
Processing..
Eliminating the parameter
07:07
Eliminating the parameter
3 questions
Derivative of a parametric curve
00:00
Derivative of a parametric curve
02:58
Derivative of a parametric curve
3 questions
Second derivative of a parametric curve
00:00
Second derivative of a parametric curve
03:52
Second derivative of a parametric curve
3 questions
Sketching parametric curves by plotting points
00:00
Sketching parametric curves by plotting points
05:46
Sketching parametric curves by plotting points
3 questions
BONUS! Extra practice problems. :)
00:26

Polar & Parametric - Calculus with parametric curves

25 lectures
Introduction to calculus with parametric curves
00:21
Tangent line to the parametric curve
00:00
Tangent line to the parametric curve
07:12
Tangent line to the parametric curve
3 questions
Area under a parametric curve
00:00
Area under a parametric curve
14:37
Area under a parametric curve
3 questions
Area under one arc or loop of a parametric curve
00:00
Area under one arc or loop of a parametric curve
06:53
Area under one arc or loop of a parametric curve
3 questions
Arc length of a parametric curve
00:00
Arc length of a parametric curve
16:22
Arc length, particle motion
15:46
Arc length, simpson's rule
09:22
Arc length of a parametric curve
3 questions
Surface area of revolution of a parametric curve, horizontal axis
Processing..
Surface area of revolution of a parametric curve, horizontal axis
08:05
Surface area of revolution of a parametric curve, horizontal axis
3 questions
Surface area of revolution of a parametric curve, vertical axis
00:00
Surface area of revolution of a parametric curve, vertical axis
12:18
Surface area of revolution of a parametric curve, vertical axis
3 questions
Volume of revolution with parametric curves
00:00
Volume of revolution with parametric curves
05:35
Volume of revolution with parametric curves
3 questions
BONUS! Extra practice problems. :)
00:26

Polar & Parametric - Polar curves

18 lectures
Introduction to polar curves
00:21
Converting to polar coordinates
00:00
Converting to polar coordinates
04:35
Converting to polar coordinates
3 questions
Converting rectangular equations
00:00
Converting rectangular equations
03:38
Converting rectangular equations
3 questions
Converting polar equations
00:00
Converting polar equations
02:56
Converting polar equations
3 questions
Distance between polar points
00:00
Distance between polar points
09:06
Distance between polar points
3 questions
Sketching polar curves
00:00
Sketching polar curves
10:41
Sketching polar curves from cartesian curves
06:10
Sketching polar curves
3 questions
BONUS! Extra practice problems. :)
00:26

Polar & Parametric - Calculus with polar curves

30 lectures
Introduction to calculus with polar curves
00:21
Tangent line to the polar curve
00:00
Tangent line to the polar curve
09:48
Tangent line to the polar curve
3 questions
Vertical and horizontal tangent lines to the polar curve
00:00
Vertical and horizontal tangent lines to the polar curve
10:21
Vertical and horizontal tangent lines to the polar curve
3 questions
Intersection of polar curves
00:00
Intersection of polar curves
12:56
Intersection of polar curves
3 questions
Area inside a polar curve
00:00
Area inside a polar curve
06:06
Area inside a polar curve
3 questions
Area bounded by one loop of a polar curve
00:00
Area bounded by one loop of a polar curve
12:26
Area bounded by one loop of a polar curve
3 questions
Area between polar curves
Processing..
Area between polar curves
14:21
Area between polar curves
3 questions
Area inside both polar curves
Processing..
Area inside both polar curves
12:34
Area inside both polar curves
3 questions
Arc length of a polar curve
00:00
Arc length of a polar curve
07:28
Arc length of a polar curve, example 2
06:43
Arc length of a polar curve
3 questions
Surface area of revolution of a polar curve
00:00
Surface area of revolution of a polar curve
07:13
Surface area of revolution of a polar curve
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Sequences

23 lectures
Introduction to sequences
00:20
Sequences vs. series
00:00
Sequences vs. series
3 questions
Listing the first terms
02:51
Listing the first terms
3 questions
Calculating the first terms
03:36
Calculating the first terms
3 questions
Formula for the general term
00:00
Formula for the general term
06:27
Formula for the general term
3 questions
Convergence of a sequence
00:00
Convergence of a sequence
07:46
Convergence of a sequence
3 questions
Limit of a convergent sequence
00:00
Limit of a convergent sequence
05:02
Limit of a convergent sequence
3 questions
Increasing, decreasing, and not monotonic
00:00
Increasing, decreasing, and not monotonic
11:33
Increasing, decreasing, and not monotonic
3 questions
Bounded sequences
00:00
Bounded sequences
12:12
Bounded sequences
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Partial sums

7 lectures
Introduction to partial sums
00:20
Calculating the first terms of a sequence of partial sums
05:01
Calculating the first terms of a sequence of partial sums
3 questions
Sum of the sequence of partial sums
00:00
Sum of the sequence of partial sums
04:41
Sum of the sequence of partial sums
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Geometric series

13 lectures
Introduction to geometric series
00:20
Geometric series test
00:00
Geometric series test
11:39
Geometric series test
3 questions
Sum of the geometric series
00:00
Sum of the geometric series
10:15
Sum of the geometric series
3 questions
Values for which the series converges
05:52
Values for which the series converges
3 questions
Geometric series for repeating decimals
00:00
Geometric series for repeating decimals
08:37
Geometric series for repeating decimals
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Telescoping series

8 lectures
Introduction to telescoping series
00:20
Convergence of a telescoping series
00:00
Convergence of a telescoping series
06:49
Convergence of a telescoping series
3 questions
Sum of a telescoping series
00:00
Sum of a telescoping series
12:21
Sum of a telescoping series
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Basic convergence tests

14 lectures
Introduction to basic convergence tests
00:20
Limit vs. sum of the series
00:00
Limit vs. sum of the series
05:05
Limit vs. sum of the series
3 questions
Integral test
00:00
Integral test
11:15
Integral test
3 questions
p-series test
00:00
p-series test
03:02
p-series
3 questions
nth term test
00:00
nth term test
08:53
nth term test
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Comparison tests

11 lectures
Introduction to comparison tests
00:20
Comparison test
00:00
Comparison test
10:33
Comparison test
3 questions
Limit comparison test
00:00
Limit comparison test
05:52
Limit comparison test
3 questions
Error or remainder of a series
00:00
Error or remainder of a series
11:57
Error or remainder of a series
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Ratio and root tests

13 lectures
Introduction to ratio and root tests
00:21
Ratio test
00:00
Ratio test
08:32
Ratio test
3 questions
Ratio test with factorials
10:54
Ratio test with factorials
3 questions
Root test
00:00
Root test
04:30
Root test
3 questions
Absolute and conditional convergence
00:00
Absolute and conditional convergence
13:44
Absolute and conditional convergence
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Alternating series test

8 lectures
Introduction to alternating series test
00:20
Alternating series test
00:00
Alternating series test
21:08
Alternating series test
3 questions
Alternating series estimation theorem
00:00
Alternating series estimation theorem
13:05
Alternating series estimation theorem
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Power series

28 lectures
Introduction to power series
00:20
Power series representation
00:00
Power series representation
19:55
Power series representation
3 questions
Power series multiplication
00:00
Power series multiplication
06:52
Power series multiplication
3 questions
Power series division
00:00
Power series division
05:14
Power series division
3 questions
Power series differentiation
00:00
Power series differentiation
16:31
Power series differentiation
3 questions
Radius and interval of convergence
00:00
Radius of convergence
09:30
Radius of convergence
3 questions
Interval of convergence
16:36
Interval of convergence
3 questions
Estimating definite integrals
00:00
Estimating definite integrals
11:16
Estimating definite integrals
3 questions
Estimating indefinite integrals
00:00
Estimating indefinite integrals
12:03
Estimating indefinite integrals
3 questions
Binomial series
00:00
Binomial series
27:18
Binomial series
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Taylor series

11 lectures
Introduction to Taylor series
00:20
Taylor series
00:00
Taylor series
07:59
Taylor series
3 questions
Radius and interval of convergence of a Taylor series
Processing..
Radius and interval of convergence of a Taylor series
20:44
Radius and interval of convergence of a Taylor series
3 questions
Taylor's inequality
00:00
Taylor's inequality
12:06
Taylor's inequality
3 questions
BONUS! Extra practice problems. :)
00:26

Sequences & Series - Maclaurin series

19 lectures
Introduction to Maclaurin series
00:20
Maclaurin series
00:00
Maclaurin series
09:00
Maclaurin series
3 questions
Sum of the Maclaurin series
00:00
Sum of the Maclaurin series
06:07
Sum of the Maclaurin series
3 questions
Radius and interval of convergence of a Maclaurin series
00:00
Radius and interval of convergence of a Maclaurin series
09:34
Radius and interval of convergence of a Maclaurin series
3 questions
Indefinite integral as an infinite series
08:00
Indefinite integral as an infinite series
3 questions
Maclaurin series to estimate an indefinite integral
09:38
Maclaurin series to estimate an indefinite integral
3 questions
Maclaurin series to estimate a definite integral
07:18
Maclaurin series to estimate a definite integral
3 questions
Maclaurin series to evaluate a limit
05:39
Maclaurin series to evaluate a limit
3 questions
BONUS! Extra practice problems. :)
00:26

Final exam and wrap-up

4 lectures
Practice final exam #1 (optional)
00:35
Practice final exam #2 (optional)
00:35
Calculus 2 final exam
00:31
Wrap-up
00:25

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