Calculus 2 Masterclass: Integration, Sequences & Series

Name: Calculus 2 Masterclass: Integration, Sequences & Series
Rating: 3.5 (1 reviews)

Learn advanced integration techniques, power series, and parametric equations with step-by-step practice & comprehension

Created byELVIS INNOCENT AGBEDE

Last updated 1/2026

English

What you'll learn

Students will learn different Integration Technique
Students will learn Parametric Equations
Polar Coordinates-We will learn the ideas of polar coordinates. We will look at many of the basic calculus ideas(tangent lines,area,arc length and surface area)
Sequences- we will introduce sequences. We discuss whether a sequence converges or diverges,is increasing or if the sequence is bounded decreasing,
Series- we will introduce Series.

Course content

6 sections • 64 lectures • 10h 0m total length

Introduction video2:46

Integration by part for indefinite integrals13:52
at the end of this lesson you will be able to evaluate indefinite integral using integration by part method
More Examples on Integration by part for indefinite integrals15:05
you will learn more examples on integration by part for indefinite integrals at the end of this lesson
Integration by part(Tabular Integration)12:19
you are going to be able to use tabular integration to evaluate indefinite integrals
more On Integration by part(Tabular integration)12:06
you are going to learn one more example on tabular integration at the end of this lesson
Integration by part for Definite integrals7:40
you are going to be able to evaluate definite integrals using integration by part at the end of this lesson
More on Integration by part for Definite Integrals9:14
you are going to learn one more example on definite integrals using integration by part at the end of this lesson
Integrals Involving Trigonometry Function10:00
you will be able to evaluate integrals involving trigonometry function at the end of this lesson.
More on Integrals Involving Trigonometry Function11:42
you will learn one more example on integrals involving trigonometry function at the end of this lesson
Evaluating Integrals Using Trigonometry Substitution16:58
you will be able to evaluate integrals using trigonometry substitution at the end of this lesson
More on Evaluating Integrals Using Trigonometry Substitution14:22
you will learn one more example on evaluating integrals using trigonometry substitution at the end of this lesson
Partial Fraction Decomposition9:30
you will learn how to use partial fraction decomposition to evaluate integrals at the end of this lesson
More on Partial Fraction Decomposition10:49
you will learn another example on partial fraction decomposition at the end of this lesson
Example 3 On Partial Fraction Decomposition14:06
you will be able to learn more about partial fraction decomposition at the end of this lesson
Integrals Involving Root6:03
you will be able to evaluate integrals involving root at the end of this lesson
Integration Strategy4:13
you will be able to evaluate integrals, using some strategy you already know at the of this lesson
More On Integration Strategy5:12
you will be able to evaluate integral, using some of the strategy you already know at the end of this lesson
Improper Integrals8:31
you will be able to understand improper integrals at the end of this lesson
More on Improper Integrals7:30
you will learn more improper integrals at the end of this lesson
Example 4 On Improper integrals6:15
you will learn more on Improper Integrals
Last Example On Improper integrals11:55
you will be able to evaluate any improper integral at the end of this lesson
QUIZ FOR SECTION 1

How to draw parametric curve using parametric equations8:32
you will be able to draw parametric curve at the end of this lesson
More On Parametric Curves8:30
yoju will learn more example on how to draw parametric curve using parametric equation at the end of this lesson
More On Parametric Curves10:46
you will fully be able to draw parametric curves using parametric equations at the end of this lesson
Last Example On Parametric Curve9:19
you will learn one more example on parametric curve at the end of this lesson
Tangent Line For Parametric Equations8:12
you will be able to find tangent line for parametric equations at the end of this lesson
More On Tangent Line For Parametric Equations8:27
you will learn one more example on how to find tangent line of parametric equations at the end of this lesson
Area Under Parametric Curves8:19
you will be able to find the area under parametric curve at the end of this lesson
Arc Length For Parametric Equations9:31
you will be able to find arc length of parametric equations at the end of this lesson
Surface Area For Parametric Equations9:52
you will be able to find the surface area of parametric equations at the end of this lesson
QUIZ FOR SECTION 2

Polar Coordinates8:21
you will understand the basic of polar coordinates at the end of this lesson
Rectangular To Polar Coordinates11:54
you will be able to convert from rectangular to polar coordinate at the end of this lesson
Polar To Rectangular Coordinates6:23
you will be able to convert from polar to rectangular coordinate at the end of this lesson
Rectangular To Polar Equations5:37
you will be able to convert from rectangular to polar equations at the end of this lesson
Polar To Rectangular Equations7:34
you will be able to convert from polar to rectangular equations at the end of this lesson
Line Graph For Polar Equations4:27
you will be able to plot line graph for polar coordinates at the end of this lesson
Circle Graph For Polar Equations7:22
you will be able to plot Circle graph for polar coordinates at the end of this lesson
Cardiods Graph For Polar Equations10:16
you will be able to draw Cardiod for polar equations at the end of this lesson
Limacons Graph For Polar Equations9:09
you will be able to plot limacons for polar equations at the end of this lesson
Tangent Line For Polar Equations13:31
you will be able to find tangent line for polar equations at the end of this lesson
Area Of Polar Equations11:05
you will be able to find area of polar equations at the end of this lesson
Arc Length For Polar Equations6:06
you will be able to find arc length for polar equations at the end of this lesson
Surface Area For Polar Equations10:45
you will be able to find surface area for polar equations at the end of this lesson
QUIZ FOR SECTION 3

Basic introduction to Series2:10
you will learn what exactly the meaning of a Series at the end of this lesson
Partial Sum Of A Series10:20
you will be able to evaluate partial sum of a series at the end of this lesson
Divergence Test For Series6:17
you will be able to determine if a series will diverge or converge using divergence test
Integral Test For Series8:00
you will be able to determine if a series will diverge or converge using integral test
More On Integral Test For Series10:12
you will learn one more example on how to determine if a series will converge or diverge using integral test, at the of this lesson.
POSITIVE/DECREASING FUNCTION EXPLANATION7:27
At the end of this lesson,you will learn the reason why the functions on previous examples were decreasing and positive
P Series Test8:04
At the end of this lecture,you will be able to determine if a series is going to converge or diverge using p series test.
Geometric Series Test11:21
you will be able to determine if a series will converge or diverge using geometric series test
Limit Comparison Test7:50
at the end of this lesson,you will be able to determine if a series will converge or diverge using Limit comparison test
More on Limit Comparison Test7:05
you will learn more about limit comparison test at the end of this lesson
Alternating Series Test12:30
you will be able to determine if a series will converge or diverge using alternating series test at the end of this lesson
Conditionally and Absolutely Convergent Test15:39
you will be able to determine if a series will be conditionally or absolutely convergent at the end of this lesson
Ratio Test15:51
at the end of this lesson,you will be able to determine if a series will converge or diverge using ratio test
Root Test11:27
at the end of this lesson, you will be able to determine if a series will converge or diverge using Root test
Power Series6:11
at the end of this lesson you will be able to understand Power series
Radius And Interval Of Convergence Of Power Series12:49
at the end of this lesson,you will be able to determine the radius and interval of convergence of a power series
More On Radius And Interval Of Convergence Of A Power Series8:42
you will learn more on Radius and interval of convergence of power series
QUIZ FOR SECTION 5
Closing Video1:01
This is the Closing video of this course "BECOME A MASTER OF CALCULUS 2"

Requirements

Some Basic Algebra understanding
Some trigonometry might be a step ahead. If not, it is ok because i will walk you through that
you will need a good foundation in Calculus 1 (derivatives and limit) in this course
you will need a pen and a paper with you while watching the tutorial,if possible some snack because it will be fun.

Description

Unlock the complexity of Calculus 2 and gain the skills needed to tackle advanced mathematical challenges with confidence.

Calculus 2 is often considered one of the most challenging hurdles for students in engineering, physics, and mathematics. This course is specifically designed to bridge the gap between basic derivatives and the complex world of integration and infinite series. We don't just teach formulas; we teach you how to think like a mathematician to solve "impossible" problems.

What You Will Master

This course provides a comprehensive, step-by-step breakdown of the core pillars of Calculus 2. With over 10 hours of video content, we dive deep into the following key areas:

Section 1: Advanced Integration Techniques: Master the various methods used to solve complex integrals, ensuring you have the right tool for every problem.
Section 2: Parametric Equations: Learn how to define curves using independent parameters and analyse their behaviour.
Section 3: Polar Coordinates: Shift your perspective from the standard grid to polar systems to simplify complex circular and rotational problems.
Sections 4 & 5: Sequences and Infinite Series: Tackle what many students find to be the hardest part of the course. We break down convergence tests, power series, and Taylor series into easy-to-understand concepts.

Why Enrol in This Course?

Practical Problem Solving: We focus on solving the types of questions you will actually see on your exams.
Knowledge Checks: Every section concludes with a quiz to ensure you have fully grasped the material before moving forward.
Expert Support: If you ever feel stuck, you are encouraged to send a message. I am here to answer your questions and help you successfully complete this course.

Join thousands of students and turn Calculus 2 from a source of stress into your strongest subject. Enrol today!

Who this course is for:

anyone who has completed Calculus 1 and want to move on to Calculus 2
Student who are currently studying calculus 2 and need help for better understanding
Student who have difficulties understanding calculus 2 and want a good tutorial
Student who are about to start calculus 2 and need a step ahead
Student who already have some knowledge in Calculus 2 and want to expand their knowledge in Calculus 2
Anyone who want to study Calculus 2 for fun
Anyone who need a private Calculus 2 tutor but can't find any
Anyone who want to study Calculus 2 on their free time
Anyone who has love for calculus and want to study calculus
Anyone who is afraid of Calculus 2 exam,this course is for you
Anyone who want to take a career in Mathematics

Calculus 2 Masterclass: Integration, Sequences & Series

What you'll learn

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Course content

Introduction1 lecture • 3min

INTEGRATION TECHNIQUES20 lectures • 3hr 27min

PARAMETRIC EQUATIONS AND CURVES9 lectures • 1hr 21min

POLAR COORDINATES13 lectures • 1hr 53min

SEQUENCES3 lectures • 33min

SERIES18 lectures • 2hr 43min

Requirements

Description

Who this course is for: