BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
I Semester 2014 2015
MATH F111
Mathematics I
(Text Book Problems to be attempted by the students: not for submission)
The list of problems listed below is recommended to the students for practice. It will
symm about x-axis: (r,-theta) or (-r,pi-theta)
symm about y-axis: (-r,-theta) or (r,pi-theta)
Symm about origin: (-r,theta) or (r,pi+theta)
Symm about the line y=x: (r,pi/2 -theta) or (-r,-pi/2 -theta)
Graphs:
r= 1 + cos(theta), 1 - cos(theta), 1 + sin(th
Sec.14.5:
DIRECTIONAL
DERIVATIVES
Recall:
If z f(x, y), then f x and f y are
defined as
f ( x0 h, y 0 ) f ( x0 , y 0 )
f x ( x0 , y 0 ) lim
h 0
h
f ( x0 , y 0 k ) f ( x0 , y 0 )
f y ( x0 , y 0 ) lim
k 0
k
fxandfyrepresenttherateof
changeofzinthexandy
dire
CHAPTER 14
Partial Derivatives
In this Chapter, we will discuss the following topics:
In this Chapter, we will discuss the following topics:
Denition of functions, domain and range
In this Chapter, we will discuss the following topics:
Denition of functio
CHAPTER 11
Conic Sections and Polar
Coordinates
Section 11.3
Polar Coordinates
What are cartesian coordinates of a point in the
plane?
What are polar coordinates of a point in the plane?
Cartesian Coordinates
To dene cartesian coordinates in a plane, we s
CHAPTER 13
Vector-Valued Functions
and Motion in Space
In this Chapter, well discuss the following topics:
1 Vector-Valued functions
2 Arc length and the unit tangent vector
3 Curvature and the unit normal vector
4 Torsion and the unit binormal vector
5 M
CHAPTER 10
Innite Series
In this Chapter, we are going to learn about Innite
series and their convergence properties. We will be
discussing the following topics:
Sequences (Certain Theorems on Sequences)
Innite Series
Integral Test
Comparison Tests
Ratio
BIRLA INSTIUTE OF TECHNOLOGY AND SCIENCE, PILANI
INSTRUCTION DIVISION
FIRST SEMESTER 2015-2016
Course Handout (Part-II)
Date: 03/08/2015
In addition to part-I (General Handout for all courses appended to the timetable) this portion gives further specific