Bounded Above, Bounded Below and BOUNDED Sequences
Monotonic Sequence Theorem
Convergent and Divergent Series
Partial Sums of Series
Telescoping , Geometric and Harmonic Series
Test for Divergence for Series
Integral Test and P series
Remainder Estimate for the Integral test
Comparison Test and Limit comparison test
Alternating Series Test
Absolute and Conditional Convergent
Ratio and Root Tests
Check Any Type of Series for Convergent OR Divergent
Power Series Representation
Basic Knowledge of Calculus-I topic like Limits, Integral etc.
The Calculus II Course on INFINITE SEQUENCE AND SERIES assume that you've got a working knowledge Calculus I, including Limits, Derivatives, and Integration (up to basic substitution). It is also assumed that you have a fairly good knowledge of Trig. Several topics rely heavily on trig and knowledge of trig functions.
This course is not only virtual learning material . You can ask any questions related to Infinite Sequence and series after enrolling in this course.
Here is a listing and brief description of the topics in this course.
A brief discussion of sequences. The basic terminology and convergence of sequences.
Quick look about monotonic and bounded sequences.
Series The Basics we will discuss some of the basics of infinite series.
Series Convergence/Divergence about the convergence/divergence of a series
Series Special Series Geometric Series, Telescoping Series, and Harmonic Series in this section.
Integral Test to determine if a series converges or diverges.
Comparison Test/Limit Comparison Test to determine if a series converges or diverges.
Alternating Series Test Using the Alternating Series Test to determine if a series converges or diverges.
Absolute Convergence A brief discussion on absolute convergence and how it differs from convergence.
Ratio Test Using the Ratio Test to determine if a series converges or diverges.
Root Test Using the Root Test to determine if a series converges or diverges.
Strategy for Series A set of general guidelines to use when deciding which test to use.
Estimating the Value of a Series estimating the value of an infinite series.
Power Series An introduction to power series and some of the basic concepts.
This course Contains 90% of Video tutorials which include practice section. Master in Sequence and series for your Calculus Course!
If you can understand my pronunciation of English in PROMO VIDEO then you can understand all lecture. So Why are you waiting? Click the button "TAKE THIS COURSE".
How much content is included in the course?
Course is updated on Weekly basis and you will get more content in next week.
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What will you know, or be able to do, after completing the course?
Benefits of this course are:
After completing this course you will be Master in solving Sequences and series problem of any type.
Your teacher will be surprised with your answer.
Who this course is for:
Calculus-I and Calculus-II Students
1 section • 15 lectures • 36m total length
Definition by writing out the terms of the sequences
Plotting-Graphing of sequences
Limit of Sequence for Convergent or Divergent
Example-1 Convergent Sequence
Example-2 Convergent Sequences
Difference between Limit of Function and Limit of Sequences
Limit Laws for Sequences same as Limit laws of Function
Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models.Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry ...