The third and final CSET exam is all calculus all the time. A good study tool would be any Calculus textbook as the topics are pretty traditional and apart of every Calculus curriculum.

## Trigonometry

- Pythagorean identities
- Sum and difference identities
- Unit Circle
- Special Right Triangles
- Reference Angles
- Equivalent Graphs
- Inverse Trig Functions
- Solve trig equations
- Polar Coordinates
- Demoivre’s Theorem
- Applications of Trig
- Double and Half angle identities
- Periodic behavior of trig graphs

## Limits

- Definitions
- Rules
- Squeeze Theorem
- Right and left hand limits
- When does the limit exist?
- Continuity
- Is something differentiable
- Intermediate Value Theorem
- How to find limits
- Chain Rule
- L’Hopital’s Rule
- How to find limits of
- Polynomials
- Logs
- Trig functions

## Derivatives

- Notation
- Slope of a curve
- Derivatives of polynomials
- Power Rule
- Instantaneous Rate of Change
- Newton’s Method
- Limit of difference quotients
- Rolle’s Theorem
- Mean Value Theorem
- Finding Max and Mins of Parabolas
- Finding velocity and acceleration
- Second derivatives
- Related Rates
- Finding average velocity and average speed
- Instantaneous velocity
- Finding concavity, inflection points, optima and extrema of graphs
- Exponential Growth

## Integration

- Riemann sums
- Even and odd shortcuts
- Power Rule
- Common Integration
- How to integrate
- polynomials
- logs
- by substitution
- by parts

- Numerical approximations
- Fundamental Theorem of Calculus
- Definition
- Proof

- Using integration to find
- area
- volume
- curve length

## Sequences and Series

- Arithmetic sequence
- Geometric sequence
- Limits of sequences
- How to use recursion
- Triangular numbers
- Convergence tests
- integral
- comparison
- limit comparison
- ratio

In following posts I’ll go into detail about the best ways to study each of these topics. I promise we will have fun along the way and it will be anything but traditional.

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