# MATH120 - Differential Calculus for Measurement

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 a�(x)
• Derivative of x
• Derivative of xƒ(x)
• Derivative of xn
• Derivative of �(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 �(x)g(x) - Product Rule
• Derivative of �(g(x)) - Chain Rule
• Derivative of �(x)/g(x) - Quotient Rule
• L'Hopital's Rule
• Implicit Differentiation
• Examples of derivatives
• Trigonometric Functions
• Exponential Functions
• Hyperbolic Functions
• Logarithmic Functions
• Inverse Trigonometric Functions
• Inverse Hyperbolic Functions
• Derivative of xr, r real
• Summary

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