This is the second in a series of courses that cover the equivalent of a one-year college course in calculus. These courses are

- MATH119 - Functions, Limits, and Continuity
**MATH120 - Differential Calculus for Measurement**- MATH121 - Sequences, Limits, and Series
- MATH122 - Integral Calculus for Measurement
- MATH123 - Series, Approximation, and Sensitivity

This course will cover the topic of differential calculus with applications to measurement. This course will cover the following:

- Introduction
- Definition of the derivative
- Left and Right Hand Derivatives
- Notation
- Theorems involving derivatives - Part I
- Derivative of a constant a
- Derivative of aƒ(x)
- Derivative of x
- Derivative of xƒ(x)
- Derivative of x
^{n} - Derivative of ƒ(x)+
*g*(x) - Derivative of a Polynomial

- Physical motivation for the Derivative
- Motion in one dimension, position, speed, acceleration, jerk
- Slope of the a tangent line
- Maxima, Minima, and Points of Inflection
- Approximation
- Forces, Equilibrium, and Stability
- Sensitivity

- Theorems involving derivatives - Part II
- Derivative of ƒ(x)
*g*(x) - Product Rule - Derivative of ƒ(
*g*(x)) - Chain Rule - Derivative of ƒ(x)/
*g*(x) - Quotient Rule - L'Hopital's Rule

- Derivative of ƒ(x)
- Implicit Differentiation
- Examples of derivatives
- Trigonometric Functions
- Exponential Functions
- Hyperbolic Functions
- Logarithmic Functions
- Inverse Trigonometric Functions
- Inverse Hyperbolic Functions
- Derivative of x
^{r}, r real

- Summary

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