****500+ VIDEOS**** - This the ULTIMATE Calculus 2 Course!!
What you'll learn:
What you'll learn:
- More Calculus 2 Than You Will Learn in Any Class, Guaranteed:)
- How to Find the Derivatives of the Inverse Trigonometric Functions
- How to Write a Trigonometric Expression in Algebraic Form
- How to Find the Equation of the Tangent Line
- How to Evaluate Integrals leading to Inverse Trigonometric Functions
- How to Solve Simple Differential Equations Involving Inverse Trig Functions
- How to Derive Some of the Inverse Trig Functions from Scratch
- How to Find the Tangent Line using Implicit Differentiation
- How to Find Relative Extrema using the First Derivative Test
- The Definitions of the Hyperbolic Functions
- How to Evaluate the Hyperbolic Functions
- How to do Basic Proofs for Identities Involving the Hyperbolic Functions
- How to Compute the Derivatives and Integrals of Hyperbolic Functions
- How to Compute Definite Integrals with Hyperbolic Functions
- How to Compute Limits, Tangent Lines, and Extrema in problems involving Hyperbolic Functions
- How to Graph Some of the Hyperbolic Functions
- How to Derive Some of the Hyperbolic Functions
- How to Find the Area Between Two Curves using Calculus
- How to use the Disk and Washer Methods to Find the Volume of a Solid of Revolution
- How to use the Shell Method to Find the Volume of a Solid of Revolution
- How to Derive the Formula for the Arc Length of a Curve
- How to Find the Arc Length
- How to Find the Surface Area for a Surface of Revolution
- How to Derive the Formula for Work From Scratch Using Calculus
- How to Find Work in Applications Involving Hooke's Law
- How to Find the Center of Mass and the Center of Gravity
- How to Compute Basic Integrals
- How to Compute Basic Integrals using Formulas that Lead to the Natural Log
- How to Compute Integrals with Bases other than e
- How to Use the Integration by Parts Formula
- How to Use Tabular Integration
- How to Compute Integrals Involving Powers of Sine and Cosine
- How to Compute Integrals Involving Powers of Secant and Tangent
- How to Use Trigonometric Substitution
- How to Integrate by first using Partial Fraction Decomposition
- How to Evaluate Limits at Infinity
- How to Use L'hopital's Rule
- How to Determine if an Integral is Improper
- How to Evaluate Improper Integrals with Infinite Limits
- How to Evaluate Improper Integrals with Infinite Discontinuities
- How to use the P-Test and the Comparison Test for Improper Integrals to Determine Convergence or Divergence
- How to Write Parametric Equations in Rectangular Form
- How to Graph Parametric Equations and Indicate the Orientation
- How to Determine where a Curve is Not Smooth
- How to Find the First Derivative and the Slope at a point given Parametric Equations
- How to Find the Second Derivative and the Concavity at a point given Parametric Equations
- How to Find the Open t-intervals where Parametric Equations are Concave Up and Concave Down
- How to Find the Equation of the Tangent Line Given Parametric Equations and a Point (or a value of the parameter)
- How to Determine the Vertical and Horizontal Tangent Lines Given Parametric Equations
- How to Find the Arc Length Given Parametric Equations
- How to Plot Polar Coordinates
- How to Convert Polar Coordinates to Rectangular and Rectangular to Polar
- How to Convert Polar Equations to Rectangular Equations and Rectangular Equations to Polar Equatoins
- How to Find Area using Polar Coordinates
- Understand the Definition of a Sequence
- Understand what it means for a Sequence to Converge or Diverge
- How to Find the Limit of Almost Any Sequence using Intuition and Growth Rates
- Understand what a Series Actually is
- Understand what it means for a Series to Converge and what it means to Diverge
- How to Evaluate the Sum of a Series when the Series is Telescoping
- Understand when a Geometric Series Converges and when it Diverges
- How to Compute the Sum of a Convergent Geometric Series using a Formula(not found in books)
- Understand How to Prove the nth Term Test
- How to use the nth term test for Divergence
- How to Use the Integral Test to Determine Convergence or Divergence of Series
- How to use the p-test for Infinite Series
- How to find the domain of the Riemann Zeta Function
- How to use the Direct Comparison Test
- How to use the Limit Comparison Test
- How to use the Alternating Series Test
- How to Determine if a Series Converges Absolutely or Conditionally or Diverges
- How to use the Ratio Test
- How to use the Root Test
- How to Compute Maclaurin Polynomials
- How to Compute Taylor Polynomials
- How to use a Maclaurin Polynomial to Approximate a Function
- Understand what a Power Series actually is
- Understand The Convergence Theorem both rigorously and intuitively in both the Real Case and the Complex Case
- How to Find the Center of a Power Series
- How to Find the Radius of Convergence of a Power Series
- How to Find the Interval of Convergence of Power Series
- Understand Geometric Power Series
- How to Write a Function as a Power Series and Find it's Interval of Convergence
- How to Find a Power Series Representation of a Function by Differentiating First
- Understand both Taylor and Maclaurin Series
- How to Find both Taylor and Maclaurin Series
This is literally the ULTIMATE Calculus 2 Course as it contains over 500 videos!!
Basically just,
1) Watch the videos, and try to follow along with a pencil and paper, take notes!
2) Try to do the problems before Ido them(if you can!)
3) Repeat!
If you finish even 50% of this course you will know ALOT of Calculus 2 and more importantly your level of mathematical maturity will go up tremendously!
Calculus 2 is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as Ihave:)
Note this course has lots of very short videos with assignments. If you are trying to learn calculus then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day. Remember it can take time to get good at math, especially Calculus 2. Good luck and I hope you learn a lot of math. Good luck!
