This calculus video tutorial explains how to solve optimization problems such as the fence problem along the river, fence problem with cost, cylinder problem, volume of a box, minimum distance between two points, and the norman window problem. This video contains plenty of examples and practice problems. It’s useful for high schools taking ap calculus or college students taking calculus 1.

Here is a list of topics:

1. Optimization Word Problems – Technique – Maximum and Minimum Values

2. First Derivative and Critical Numbers – Horizontal Tangents

3. Constraint Equation vs Objective Function

4. Sum and Product of Two Numbers

5. Area and Perimeter Problems

6. Fence Problem – Rectangular Field of Area Along River – Maximizing Area

7. Fence Problem With 4 Pens

8. Minimizing Cost of a material

9. Volume of a box problem – Square Base and Open Top

10. Surface Area of Box Problem

11. Cardboard Box Problem – Cutting Square Corners to Make a Rectangular Box – Maximum Volume

12. Cylinder / Cylindrical Can Problem – Minimize Cost of Metal – Surface Area and Volume – Radius, Height, Circumference, & Circular Area

13. Cylinder Problem – Volume of Prism & Surface Area – Area of Base Plus Lateral Area

13. Fence Problem – Minimizing Cost – Wooden Fence vs Metal Fence

14. Minimum Distance Between a Point on the line and the origin – Distance Formula & Pythagorean Theorem

15. Derivatives – Product Rule, Power Rule, and Chain Rule

16. Minimizing Distance Between a Point and a point on the line

17. Norman Window Problem – Semicircle and Rectangle