Machine generated contents note: 1. Preliminary ideas
1.1. Why is calculus hard?
2.3. The fundamental theorem
3. Functions, old and new
3.2. The exponential function
3.3. Trigonometric functions
5. Compound interest and horse kicks
6.1. Do the higher derivatives exist?
6.3. Calculation with Taylor's theorem
7. Approximations, good and bad
7.3. There are lots of numbers
8.1. More than one variable
8.2. Taylor's theorem in two variables
8.3. On the persistence of passes
9. Differential equations via computers
9.3. A good idea badly implemented
10.1. The snake enters the garden
10.2. Too beautiful to lose
11.2. The Euclidean method
11.3. Are there enough numbers?
11.4. Can we guarantee a maximum?
11.5. A glass wall problem
