# 0107 - Math 31A 2010.01.07 MATH 31A DISCUSSION JED YANG 1...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 31A 2010.01.07 MATH 31A DISCUSSION JED YANG 1. Introduction Lecture 1 • Instructor: Steve Butler. • Location: HAINES 39. Sections 1A and 1B • Email: mailto:[email protected] . • Office: MS 6617A. • Office hours: R 12:30–13:30. • Discussion Location: MS 5117 (T) and 5138 (R). • Website: http://www.math.ucla.edu/ ~ jedyang/31a.1.10w/ . • SMC: Jan. 6–Mar. 11, M–R 09:00–15:00, MS 3974, T 12:00–13:00. 2. Administration • HW due Fridays in lecture, can turn in early to me, and I will hand back in section. • Textbook: Rogawski, Single Variable Calculus, 2008. • Confirm office hour. 3. Precalculus Review 3.1. Exercise 1.2.21. Find the equation of the perpendicular bisector of the seg- ment joining (1 , 2) and (5 , 4). Solution. Slope of segment is m 1 = 4- 2 5- 1 = 1 2 . Slope of perpendicular bisector is m 2 = − 1 /m 1 = − 2. Mid point is ( 1+5 2 , 2+4 2 ). So the equation can be written as y − 3 = − 2( x − 3). square 3.2. Exercise 1.2.23. Find the equation of the line with x-intercept x = 4 and y-intercept y = 3. Solution. Equation of the line is y = mx + b , where b is the y-intercept, hence b = 3. The x-intercept x = 4 will yield y = 0 (by definition), so substituting, we may solve for m . We get 0 = 4 m + 3, hence m = − 3 4 . So the equation can be written as y = − 3 4 x + 3. square 3.3. Exercise 1.2.24. A line of slope m = 2 passes through (1 , 4). Find y such that (3 , y ) lies on the line. Math 31A Yang 2 Solution. One way is to write down an equation of the line in point-slope form: y = 2( x − 1) + 4. Then we see clearly that if x = 3, then y = 8. Alternatively, the slope m is the change of y over the change of x . Symbolically,....
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

0107 - Math 31A 2010.01.07 MATH 31A DISCUSSION JED YANG 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online