Math 115H (Administration)

Course Outline:

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			Section(s)
1.	Multivariable Functions
	a.	Definitions and notation	12.1, 13.1
	b.	Graphs and images
	c.	Level sets and level surfaces	13.1
	d.	Cylinders	11.8
	e.	Quadric Surfaces	11.7

2.	Vectors
	a.	Definitions	11.1, 11.2
	b.	Vector operations	11.3, 11.4
	c.	Vector decomposition	11.3
	d.	Angles between vectors	11.3

3.	Lines and Planes in Space
	a.	Equations: graph, parametric, implicit	12.5, 12.6
	b.	Normal vectors	12.6

4.	Functions of the form $f\colon\R^2\to\R$ (Surfaces in Space as Graphs of a Funcion)
	a.	Directional derivatives	13.6
	b.	Partial derivatives	13.3
	c.	The gradient vector	13.6
	d.	The normal vector	13.3
	e.	The tangent plane	13.3, 13.7, 11.6
	f.	Critical points and optimization problems	13.8, 13.9

5.	Functions of the form $f\colon\R^3\to\R$ (Implicit Surfaces in Space)
	a.	Gradients and partial derivatives	13.1, 13.7
	b.	Tangent planes and normal vectors	13.7

6.	Functions of the form $f\colon\R\to\R^3$ (Parametric Curves in Space)
	a.	Velocity and acceleration	12.2, 12.6
	b.	Tangent and normal vectors	12.4, 12.6

7.	Functions of the form $f\colon\R^2\to\R^3$ (Parametric Surfaces in Space)
	a.	Partial derivatives	13.3
	b.	The normal vector and tangent plane	13.7
	c.	The multi-variable chain rule	13.5

8.	Introduction to Linear Algebra		(In supplement)
	a.	Systems of linear equations	1.1, 1.2, 1.3
	b.	Matrices and matrix arithmetic	1.4, 1.5
	c.	Inverse matrices	1.6
	d.	Determinants	2.1, 2.2

See the course calendar for details concerning exams and quizzes.

Math 115H (Fall 2017) web pages
Created: 04 Sep 2017
Last modified: Sep 4, 2017 6:44:53 PM
Comments to: dpvc@union.edu