# Calculus 2

### Videos

**Review of Differentiation and Integration**

Review of Differentiation (Mon Aug 30, 2021)

Exponential and logarithmic functions derivatives. Logarithmic differentiation. Review of integration and substitution (Th Sept 2, 2021)

"Fancy" substitution. (Fri Sept 3, 2021)

Integrals of exponential functions (Fri Sept 3, 2021)

Integrals producing logarithmic functions (Fri Sept 3, 2021)

Integrals producing logarithmic functions. Definite integrals, Left and Right Sums (Tue by Mon schedule, Sept 7, 2021)

Fundamental Theorem of Calculus. Areas between curves (Th Sept 9, 2021)

**Volumes. Average Value. Matlab**

Area vetween three curves. Volume of revolution, x-axis (Fri Sept 10, 2021)

Volumes of revolution, x-axis part 2, y-axis (Mon Sept 13, 2021)

Average value. Matlab, part 1 (Th Sept 16, 2021)

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

Inverse trigonometric functions (Fri Sept 17, 2021)

Inverse trigonometric functions, part 2. Finding work, Hook's law (Mon Sept 20, 2021)

L'Hopital's rule. Assignment 2 questions. Matlab, part 2(Th Sept 23, 2021)

L'Hopital's rule, part 2 (Fri Sept 24, 2021)

Exam 1 material review (Th Sept 30, 2021)

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

Improper integrals intro (Mon Sept 27, 2021)

Improper integrals (Mon Sept 27, 2021)

Integration by parts, part 1 (Mon Oct 4, 2021)

Integration by parts, part 2. "Combo" problems. Project 1 overview (Th Oct 7, 2021)

Partial Fractions (Fri Oct 8, 2021)

Partial fraction, part 2. Trigonometric functions integration, part 1 (Th Oct 14, 2021)

Trigonometric functions integration, part 2. Project 1 questions (Th Oct 14 and Fri Oct 15, 2021)

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

Arc length. Suface area (Mon Oct 18, 2021)

Trapezoidal and Simpson's Sums (Th Oct 21, 2021)

Center of mass. Recursive integration. Assignment 3 questions (Th Oct 21 and Fri Oct 22, 2021)

Exam 2 material review (Th Oct 28, 2021)

**Differential Equations**

Separable differentrial equation (Mon Oct 25, 2021)

Euler's Method. Autonomous differential equations (Mon Nov 1 and Th Nov 4, 2021)

Autonomous differential equations. Applications (Mon Nov 1, 2021)

Modeling using differential equations. Matlab (Th Nov 4, 2021)

Linear differential equation (Fri Nov 5, 2021)

**Parametric Curves**

Parametric curves, part 1 (Mon Nov 8, 2021)

Parametric curves, part 2. Assignment 4 questions (Th Nov 11, 2021)

Parametric curves, part 3. Review (Fri Nov 12, 2021)

Exam 3 material review (Th Nov 18, 2021)

**Polar coordinates. Taylor polynomial.**

Polar coordinates introduction (Mon Nov 15, 2021)

Area in polar coordinates (Mon Nov 22, 2021)

Area and length in polar coordinates (Mon Nov 29, 2021)

Polar coordinates, practice problems (Mon Dec 6, 2021)

Taylor polynomial, part 1. Project 2 questions (Th Dec 2, 2021)

Taylor polynomial, part 2 (Fri Dec 3, 2021)

**Review for the final exam.**

Polar coordinates and Taylor polynomials review (Assignment 5) (Th Dec 9, 2021)

Review of the exam 1 to 3 material (Fri Dec 10, 2021)

Final exams message

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