# Contents

I realize a blog format isn’t ideal for writing mathematical notes, especially if I need to recall something I wrote about ages ago. So this page just keeps track of the material I’ve written about.

1. Calculus
1.1. Calculus in a Single Variable
1.2. Analysis Interlude
1.3. Vector Calculus
1.4. Special Functions
2. Linear Algebra
3. Puzzles
4. Foundations, including elementary algebra and naive set theory.

### Calculus

1. Calculus in a Single Variable
2. Analysis Interlude
1. Naive Infinite Series
2. Sequences, specifically their convergence or divergence
3. Series Convergence: What Does It Mean? The Definition of Convergence for Series.
4. Integral Test for Convergence
5. Comparison Tests
6. Alternating Series Test
7. Other Alternating Series Tests
8. Power Series
9. Taylor Series
10. Taylor Polynomials
11. The Fabulous Useful Applications of Taylor Series:
3. Vector Calculus
1. Geometry and Vectors
2. Curves, Velocity, “Classical Kinematics”
3. Differentiation for Multivariable Functions
1. Continuity for Functions of Several Variables, Partial Derivatives, where we generalize differentiation for multivariable functions
2. Chain Rule for Partial Derivatives, including revisiting the idea of implicit differentiation
4. Finding Extrema of Multivariable Functions
5. Lagrange Multipliers
4. Multiple Integrals
4. Special Functions

### Linear Algebra

1. Projective Space

### Foundations

Note to self: when I get to continued fractions, I should redirect the link on my The Natural Logarithm post.