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# Calculus 2

## Syllabus

Calculus 2 Lecture 6.1: The Natural Log Function.
Calculus 2 Lecture 6.2: Derivatives of Inverse Functions.
Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions.
Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential Functions.
Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions.
Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions.
Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms.
Calculus 2 Lecture 7.1: Integration By Parts.
Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals.
Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution.
Calculus 2 Lecture 7.4: Integration By Partial Fractions.
Calculus 2 Lecture 7.6: Improper Integrals.
Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables.
Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences.
Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test.
Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence of Series, P-Series.
Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Comparison Test.
Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Test, Finding Error of Sums.
Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For Series.
Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test for Int. of Convergence.
Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series.
Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials.
Calculus 2 Lecture 10.2: Introduction to Parametric Equations.
Calculus 2 Lecture 10.3: Calculus of Parametric Equations.
Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations.
Calculus 2 Lecture 10.5: Calculus of Polar Equations.
Numerical Integration With Trapezoidal and Simpson's Rule.

### Taught by

Professor Leonard

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