# MA 221 Calculus 2

### Videos

**Review of Differentiation and Integration**

Review of Differentiation

Exponential and logarithmic functions derivatives. Logarithmic differentiation. Review of integration and substitution

Integrals of exponential functions. Integrals producing logarithmic functions

Integrals producing logarithmic functions. Definite integrals, Left and Right Sums

Fundamental Theorem of Calculus. Areas between curves

**Volumes. Average Value. Matlab**

Area vetween three curves. Volume of revolution, x-axis

Volumes of revolution, x-axis part 2, y-axis

Average value. Matlab, part 1

**Inverse trigonometric functions. L'Hopital. Matlab**

Inverse trigonometric functions

Inverse trigonometric functions, part 2. Finding work, Hook's law

L'Hopital's rule. Assignment 2 questions. Matlab, part 2

L'Hopital's rule, part 2

Exam 1 material review

**Improper integral. Integration by parts. Partial Fractions. Trigonometric integration**

Improper integrals intro

Improper integrals

Integration by parts, part 1

Integration by parts, part 2. "Combo" problems. Project 1 overview

Partial Fractions

Partial fraction, part 2. Trigonometric functions integration, part 1

Trigonometric functions integration, part 2. Project 1 questions

**Arc length, surface area. Trapezoidal and Simpson's sums.**

Arc length. Suface area

Trapezoidal and Simpson's Sums

Center of mass. Recursive integration. Assignment 3 questions

Exam 2 material review

**Differential Equations**

Separable differentrial equation

Euler's Method. Autonomous differential equations

Autonomous differential equations. Applications

Modeling using differential equations. Matlab

Linear differential equation

**Parametric Curves**

Parametric curves, part 1

Parametric curves, part 2. Assignment 4 questions

Parametric curves, part 3. Review

Exam 3 material review

**Polar coordinates. Taylor polynomial.**

Polar coordinates introduction

Area in polar coordinates

Area and length in polar coordinates

Polar coordinates, practice problems

Taylor polynomial, part 1. Project 2 questions

Taylor polynomial, part 2

**Review for the final exam.**

Polar coordinates and Taylor polynomials review (Assignment 5)

Review of the exam 1 to 3 material

Final exams message

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