Calculus 2 - Complete Video Lecture Series

Math with Professor V via YouTube

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Provider

YouTube
Pricing

Free Video
Languages

English
Duration & workload

2 days 19 hours 27 minutes
Sessions

On-Demand
Level

Intermediate

Found in

Master advanced calculus concepts through comprehensive video lectures covering applications of integration, advanced integration techniques, sequences and series, and parametric equations. Learn to calculate areas between curves, volumes of solids of revolution using disk, washer, and shell methods, and solve work problems involving pumping liquids. Develop proficiency in integration by parts, trigonometric integrals, trigonometric substitution, and partial fraction decomposition while building a strategic approach to choosing the right integration technique. Explore improper integrals, arc length calculations, surface area of revolution, and applications involving moments and center of mass. Study differential equations including separable and linear types with real-world modeling applications. Dive deep into sequences and series, learning convergence tests including the integral test, comparison tests, alternating series test, ratio test, and root test. Master power series, Taylor and Maclaurin series, and their applications for function approximation and limit evaluation. Examine conic sections, parametric curves, and polar coordinates with their respective calculus applications including area and arc length calculations. Practice problem-solving strategies through exam reviews and extensive problem sets covering all major Calculus 2 topics.

Syllabus

Calculus: Areas Between Curves (Section 6.1) | Math with Professor V
Calculus: Volumes using Disks & Washers (Section 6.2) | Math with Professor V
Volumes by Slicing: Disks & Washers | Solids of Revolution | FOOLPROOF EASY Method!
Volumes of Solids of Revolution using Discs & Washers | Easy Explanation! | Math with Professor V
Calculus: Volumes by Cylindrical Shells (Section 6.3) | Math with Professor V
Shell Method for Volumes of Solids of Revolution | FOOLPROOF EASY METHOD! | Math with Professor V
Calculus: Work (Section 6.4) | Math with Professor V
Finding Work When Pumping Liquids Out of Containers! | Best Explanation! | Math with Professor V
Calculus: Average Value of a Function (Section 6.5) | Math with Professor V
Calculus 2: Integration by Parts (Video #1) | Math with Professor V
Evaluating Integrals Using Integration by Parts | Math with Professor V
Mastering Integration by Parts: When & How to Use It | Math with Professor V
Tabular aka DI Method for Integration by Parts | Calculus 2 Integration Tips | Math with Professor V
Can You Use U-Sub Instead of Integration by Parts Sometimes? | Calculus 2 | Math with Professor V
When to Use U-Sub or Integration by Parts? | Calculus | Math with Professor V
Integration by Parts - Tabular Method | Calculus 2 | Math with Professor V
Calculus 2: Trigonometric Integrals (Video #2) | Math with Professor V
Evaluating Trigonometric Integrals | Powers of Sine, Cosine, Tangent & More! | Math with Professor V
Calculus 2: Trigonometric Substitution (Video #3)
Mastering TRIG SUB for Integration! Step by Step Explanation | Math with Professor V
Evaluating Integrals Using Trigonometric Substitution (Trig Sub) | Math with Professor V
Integration Using Trigonometric Substitution (Trig Sub) | Calculus 2 | Math with Professor V
Changing Limits of Integration for U-Sub vs. Trig Sub: Easy Explanation! Math with Professor V
Partial Fraction Decomposition | Math with Professor V
Calculus 2: Integration of Rational Functions by Partial Fractions (Video #4) | Math w/ Professor V
Evaluating Integrals Using Partial Fractions/Partial Fraction Decomposition | Math with Professor V
Mastering Rational Function Integrals: When Long Division Comes First! | Math with Professor V
Calculus 2: Strategy for Integration (Video #5) | Math with Professor V
Calculus 2: Approximate Integration | Midpoint, Trapezoidal & Simpson’s Rule | Math with Professor V
Class Canceled Calc 2 Review: Integration Techniques + Approx Rules
Calculus 2: Improper Integrals (Video #7) | Math with Professor V
Evaluating Improper Integrals (Part 2) | Math with Professor V
Improper Integrals--What Are They? How to Evaluate Them? | Lots of Examples! | Math with Professor V
The Comparison Theorem for Improper Integrals | Step by Step Explanation | Math with Professor V
Calculus 2: Arc Length (Video #8) | Math with Professor V
Calculus 2: Area of a Surface of Revolution (Video #9) | Math with Professor V
Area of a Surface of Revolution | Calculus 2 | Easy Set-up Method | Math with Professor V
Calculus 2: Moments and Center of Mass (Video #10) | Math with Professor V
Calculus 2: Modeling with Differential Equations (Video #11) | Math with Professor V
Calculus 2: Separable Differential Equations (Video #12) | Math with Professor V
Calculus 2: Linear Differential Equations (Video #14) | Math with Professor V
Calculus 2 Final Review: Linear & Separable Differential Equations Explained (Step by Step Guide)
Calculus 2: Sequences (Section 11.1) | Math with Professor V
Monotonic and Bounded Sequences | Calculus 2 | Math with Professor V
The Ratio Test for Sequences | Calculus 2 | Math with Professor V
Infinite Sequences - Convergent or Divergent? | Calculus 2 | Math with Professor V
Infinite Sequences PART 2- Convergent or Divergent? | Calculus 2 | Math with Professor V
Calculus 2: Series (Section 11.2) | Math with Professor V
Review of Sigma Notation (for the Calculus Student) | Math with Professor V
Telescoping Series/Telescoping Sums for Calculus 2 | Math with Professor V
Calculus 2: The Integral Test (Section 11.3) | Math with Professor V
The Integral Test for Infinite Series: Step by Step Explanation! | Math with Professor V
Calculus 2: Comparison Tests (Section 11.4) | Math with Professor V
Calculus 2: The Comparison and Limit Comparison Tests (Part 2) | Math with Professor V
The Limit Comparison Test: How & When To Use It | Sequences & Series | Math with Professor V
Calculus 2: Alternating Series (Section 11.5) | Math with Professor V
Factorials! What Are They? How to Simplify? | Math with Professor V
Calculus 2: Absolute Convergence and the Ratio and Root Tests (Section 11.6) | Math with Professor V
Calculus 2: The Ratio Test - Part 2 | Math with Professor V
Calculus 2: The Root Test Part 2 | Math with Professor V
Testing for Absolute & Conditional Convergence | Easy Explanation! | Math with Professor V
Stop Mixing These Up! Absolute vs Conditional Convergence Explained (Calc 2)
The Ratio and Root Tests for Infinite Series - When To Use Them & How - Math with Professor V
Calculus 2: Strategy for Testing Series (Section 11.7) | Math with Professor V
Strategy for Testing Series | Solving Problems Calculus 2 | Math with Professor V
Series Test Strategy (Calc 2 / AP Calc BC) | Which One Do You Use?
Calculus 2: Power Series (Section 11.8) | Math with Professor V
Finding the Radius & Interval of Convergence for Power Series! | Calculus 2 | Math with Professor V
Calculus 2: Representations of Functions as Power Series Part 1 (Section 11.9) | Math w Professor V
Calculus 2: Differentiation and Integration of Power Series-Pt 2 (Section 11.9) | Math w Professor V
Power Series - Made Easy! | Power Series Representation of a Function | Math with Professor V
Calculus 2: Taylor and Maclaurin Series (Part 1) | Math with Professor V
Calculus 2: Taylor & Maclaurin Series Part 2/Binomial Series (Section 11.10) | Math with Professor V
Finding Taylor and Maclaurin Series for Functions (Calculus 2) | Math with Professor V
Using Series to Evaluate Limits | 3-Step Easy Process! | Calculus 2 | Math with Professor V
Calculus 2: Applications of Taylor Polynomials (Section 11.11) | Math with Professor V
Approximating Error for Taylor Polynomials | Taylor's Inequality | Math with Professor V
Precalculus: Conic Sections/The Parabola (Sections 10.1 & 10.2) | Math with Professor V
Precalculus: The Ellipse (Section 10.3) | Math with Professor V
Precalculus: The Hyperbola (Section 10.4) | Math with Professor V
Calculus 2: Curves Defined by Parametric Equations (Video #28) | Math with Professor V
Calculus 2: Calculus with Parametric Curves (Video #29) | Math with Professor V
Calculus with Parametric Curves | Arc Length, Area, Surface Area, and More! | Math with Professor V
Calculus 2: Finding Horizontal & Vertical Tangents to Parametric & Polar Curves | Math w Professor V
Calculus 2: Polar Coordinates (Video #30) | Math with Professor V
Calculus 2: Areas and Lengths in Polar Coordinates (Video #31) | Math with Professor V
Graphing Roses in Polar Coordinates & Finding Area of Petals, etc.! | Math with Professor V
Calculus 2: Finding Areas for Polar Curves | Math with Professor V
Conic Sections in Polar Coordinates (Section 10.6) | Math with Professor V
Calculus 2 Final Exam Review | Part 1 | Math with Professor V
Calculus 2 Final Exam Review | Part 2 | Math with Professor V
Calculus 2 Final Exam Review | Part 3 | Math with Professor V
Calculus 2 Final Exam Review | Sequences & Series | Part 4 | Math with Professor V
Calculus 2: Solving Exam 1 | *Areas * Volumes *Integrals & More! | Math with Professor V
Calculus 2: Solving Exam 2--Integrals, Arc Length, Surface Area & More! Math with Professor V
Calculus 2: Solving the FINAL EXAM Spring 2024 | Math with Professor V
Solving 100 QUESTIONS on all things SEQUENCES & SERIES! - PART 1 | Math with Professor V
Solving 100 QUESTIONS on all things SEQUENCES & SERIES! - PART 2 | Math with Professor V
Calculus with Parametric Curves | Derivatives, Tangent Lines, Arc Length & Surface Area