## Calculus - Prof.
Richard B. Goldstein

- Graph a function of 1 variable
- Graph of the First Derivative and Tangent
Line
- Graph of the Second Derivative and
Osculating Circle
- Parametric Equations in 2-D
- Space Curves 3-D
- Solids of Revolution - 3D Graph
& Volume
- Differential Equations - with graph
- Prey & Predator - with graphs
- Graph a function of 2 variables (no hidden
lines)
- Graph of a function of 2 variables with
tangent plane
- Graph a function of 2 variables with polar
coordinates from center
- Parametric Equations for 3-D surfaces
- Parametric Equations for 3-D surfaces
with slider
- Animation - vibrating string with any
initial position/speed

### Excel Files (using Activex control scrollbar)

- Function Transforms in Excel
- Derivative Demo in Excel
- Derivative Animation - Animated Gif (43
Kb) or Excel
- Curvature - Osculating
Circle
- Parametric Equations - Lemniscate

### Notes

- Function Transforms
- Advanced Topics of
Differentiation
- Optimum Viewing Distance
- Conic Sections
- Plotting 3-D Curves and Surfaces in
Derive
- Parametric
Representation of Surface
- Projectile Motion
- Counterexample
for mixed partial derivatives
- Does
differentiability imply continuity?

**MTH 108 - Spring 2014**

SYLLABI

Series E

Series L

EXAMS

CHAPTER SUMMARIES

HOMEWORK ANSWERS

**MTH 132 - Spring 2013**

SYLLABUS

CHAPTER SUMMARIES

EXAMS

**MTH 223 - Spring 2013**

SYLLABUS

CHAPTER SUMMARIES

EXAMS

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