Calculus: Chapter 5 Part 8: Alternating Series
In this video, the Math Record would cover the alternating series and how to estimate its error.
---------- Table of Contents ---------
Chapter Pre
1: Introduction to Calculus
2: Limits
Chapter 1: Derivatives
1: Introduction to the Derivative
2: Power Rule
3: Product Rule, Quotient Rule, & Chain Rule
4: Derivatives of Exponential Functions
5: Derivatives of Trigonometric Functions
6: Derivatives of Inverse Functions
7: Derivatives of Inverse Trigonometric Functions
8: Derivatives of Logarithmic Functions
9: Implicit Differentiations
10: Higher-Order Derivatives
Chapter 2: Applications of Derivatives
1: Understanding Graphs: Maximum & Minimums
2: Understanding Graphs: Increasing & Decreasing Intervals
3: Understanding Graphs: Concavity & Inflection Points
4: Understanding Graphs: 2nd Derivative Test
5: Understanding Graphs: Intermediate & Mean Value Theorem
6: Newton's Method to Approximating Zeroes
7: Euler's Method to Approximating Points
8: Related Rates
9: Optimization
10: Indeterminants & L'Hôpital Rule
Chapter 3: Integrals
1: Introduction to the Integral
2: Basic Integration
3: Integration by Substitution
4: Integration by Parts
5: Integration using Partial Fractions
6: Integration of Trigonometric Functions
Chapter 4: Applications of Integrals
1: Displacement, Total Distance, and Position
2: Area
3: Volume from Revolutions
4: Volume from Cross Sections
5: Riemann Sums
6: Newton's Law of Cooling & Logistic Functions
7: Arc Length
Chapter 5: Sequences and Series
1: Introduction to Sequences and Series
2: P-series & Infinite Geometric Series
3: Convergence Test #1: Integral Test
4: Convergence Test #2: Comparison Test
5: Convergence Test #3: Limit Comparison Test
6: Convergence Test #4: Ratio Test
7: Convergence Test #5: Root Test
8: Alternating Series
9: Power Series
10: Taylor & Maclaurin Series