Pre-Calculus

- Approximation techniques
- Trigonometric identities
- Understanding differences between polynomials and transcendental functions.
- Use of symbolic mathematical software
- Algebraic manipulation
- Approximation techniques
- Understanding difference between polynomials and transcendental functions
- Use of symbolic mathematical software
- Asympototes for rational functions
- Algebraic manipulation
- An introduction to Kirchhoff's law
- An introduction to maximizing functions
- Using graphing calculator or computer to make a conjecture
- Proving a conjecture
- Composition of functions
- Conjecturing and proving the conjecture
- Basic properties of the exponential function
- Algebraic manipulation
- Use of symbolic mathematical software
- Using graphs to guess maxima
- Proving a statement based on experimental data
- Some basic trigonometry
- Polynomial manipulation
- History of Pi
- Trigonometric identities
- Use of calculators or computers to approximate Pi

This project uses trigonometric identities to derive polynomials to approximate the sine and cosine functions. A fairly realistic story motivates the project.

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This project uses the definition of the exponential function to derive a formula for a polynomial approximation to the exponential function. It assumes that students have seen the binomial theorem and have a good grasp of basic properties of polynomials.

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If you use the TeX version then you should also download the figures in either postscript or CorelDraw format.

This project uses basic algebraic manipulation to maximize a class of functions. The story in the project is essentially true.

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This project is an exercise in composition of functions. It could be assigned early in the semester or used in a college algebra course.

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This project is an introduction to the hyperbolic functions. It requires students to derive some basic identities involving hyperbolic functions which correspond to trigonometric identities they learned in class.

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This projects introduces students to optimization problems similar to what they will see in calculus.

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This project gives some history of the computation of Pi. Students then are required to derive some of the formulas used.

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