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2015-01-22 Lecture 2 - University of California,...

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2015-01-22 Lecture 2 Reading : Chapter 5, up to page 192. Sections 5.7 – 5.9 will not be on the homework or exams, but will be part of the assigned reading. Functional relationships between several variables will be a major theme throughout the course. Today we will look at the cases of two variables and three variables. Three variables : a, b and c Example : Work out derivatives for c = a^2 + b^2 Two variables : a and b. We have da/db = 1/(db/da) Example : Work out derivatives for b = tan(a) We apply this to x(t) and t(x), one-dimensional motion in U(x)
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Page 1: 2015-01-22 Lecture 2 - University of California, Berkeleybohr.physics.berkeley.edu/reinsch/phys105spr2015/lectures/Lecture2.pdf2015-01-22 Lecture 2 Reading: Chapter 5, up to page 192.

2015-01-22 Lecture 2

Reading: Chapter 5, up to page 192.Sections 5.7 – 5.9 will not be on the homework or exams, but will be part ofthe assigned reading.

Functional relationships between several variables will be a major theme throughout the course. Today wewill look at the cases of two variables and threevariables.

Three variables: a, b and c

Example: Work out derivatives for c = a^2 + b^2

Two variables: a and b. We have da/db = 1/(db/da)

Example: Work out derivatives for b = tan(a)

We apply this to x(t) and t(x), one-dimensional motion in U(x)

Page 2: 2015-01-22 Lecture 2 - University of California, Berkeleybohr.physics.berkeley.edu/reinsch/phys105spr2015/lectures/Lecture2.pdf2015-01-22 Lecture 2 Reading: Chapter 5, up to page 192.
Page 3: 2015-01-22 Lecture 2 - University of California, Berkeleybohr.physics.berkeley.edu/reinsch/phys105spr2015/lectures/Lecture2.pdf2015-01-22 Lecture 2 Reading: Chapter 5, up to page 192.

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