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Algebra & Trigonometry

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Liberal Arts Math

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0. Functions

1. Limits and Continuity

2. Intro to Derivatives

3. Techniques of Differentiation

4. Applications of Derivatives

5. Graphical Applications of Derivatives

6. Derivatives of Inverse, Exponential, & Logarithmic Functions

7. Antiderivatives & Indefinite Integrals

8. Definite Integrals

9. Graphical Applications of Integrals

10. Physics Applications of Integrals 

11. Integrals of Inverse, Exponential, & Logarithmic Functions

12. Techniques of Integration

13. Intro to Differential Equations

14. Sequences & Series

15. Power Series

16. Parametric Equations & Polar Coordinates

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This Calculus study guide covers optimization problems, including maximizing area, minimizing material, and solving constraints with step-by-step examples.

Optimization Problems in Calculus: Applications of the Derivative 4.5

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Applied Optimization