# Jila's Calculus class.

- Author:
- Jila

- Topic:
- Calculus

This is meant to be used by my calculus I class. It includes appropriates apps and gifs.

## Table of Contents

### Functions, Tangent lines and limits.

### Derivatives

### Related Rates-Word Problems

### Linear Approximation

### Optimization

- 4.7: Optimization- Maximize the area of a rectangle inscribed in an ellipse
- 4.7: Optimization. Maximum area of a rectangle inscribed in a functions. Drag Point A
- 4.7: Optimization of length, corridors and poles
- 4.7: Optimization of distance in a police chase
- 4.7: Optimization: Inscribe a rectangle in a triangle
- 4.7: Optimization: Area isosceles triangle inscribed in a circle
- 4.7: Optimization, Bending a Wire

### Integrals.

### Parametric equations

### Integral Word Problems

### Special curves

### Surfaces

- Saddle point
- 3D Discontinuity, xy/(x^2+y^2)
- 3d Discontinuity, x^2/(x^2+y^2)
- 3d, Discontinuity, x^2y/(x^4+y^2)
- Non-differentiable Surface
- Differentiable Surfaces, Zoom in
- Hessian
- 14.7: Optimization of Closed/Bounded Regions
- Octants
- Vase shape
- The reciprocal
- Natural Log
- Quadric Surfaces-Hyperboloids 1-Sheet, 2 -Sheets and Cones
- Quadrics: How to draw paraboloids by stacking the Cross sections
- Quadrics: Cylinder
- Half Cylinders in Cylindrical Coordinates.
- Cone in Spherical Coordinates is a Rotation

### Solids for triple integrals

- Triple Integral Lecture 15.3 With Extra Walls
- 15.3: Triple integral
- 15.3: Non-Simple Region Triple Integral
- 15.3: Triple Integral Lecture
- 15.3: Triple Integral, Orange Slice
- 15.3: Triple Integrals Paraboloid
- Section 15.3: Group Work 6, Question 1
- 15.3: Group Work 6, Question 2
- Group Work 6 Question 3
- 15.3: None Simple Region Triple Integral Lecture Example 5
- 15.3: Triple Integral, Orange Slice 2
- 15.4: Spherical Coordinates
- Example bounded by z+y=2, z=1-x^2 in first octant.
- 3d Riemann Sum
- Fubinni's 3d Riemann Sum
- 15.2: The 3D Double Integral
- Group Work 11 Question 5
- 15.3: Tetrahedron