Financial ToolBoxes
(Gray-shaded boxes are the outputs based on the given inputs above them. Do not type in the shaded boxes.)
APR
Compounding Periods
Present Value
Payment
Years
Future Value:
APR
Compounding Periods
Present Value
Future Value
Years
Payme
Financial ToolBoxes
(Gray-shaded boxes are the outputs based on the given inputs above them. Do not type in the shaded boxes.)
APR
Compounding Periods
Present Value
Payment
Years
Future Value:
APR
Compounding Periods
Present Value
Future Value
Years
Payme
Exercise 6
MA407
This set of exercises will make you more familiar with the object oriented programming features
of Java. You will practise to implement APIs and design and use own data types. We start
with a simple data type implementation for a given AP
Exercise 5
MA407
This exercise set concerns sorting algorithms and their running times. It should make you
familiar with the type of questions that you will encounter in the exam. (In fact Exercise 2(a),
2(c), 2(d) appeared in a very similar form in last
Exercise 2
MA407
One subject where two dimensional arrays prove particularly useful are calculations with matrices - which has a multitude of applications, as you know. The following exercises ask you
to implement matrices and some common matrix operation
Exercise 3
MA407
This set of exercises will introduce you to a particularly ecient method to search for an entry
in a sorted array, which is called binary search. The basic idea of binary search is that the
section of the array where the entry is searched
Exercise 1
MA407
Since the times of the Ancient Greeks prime numbers have held much fascination for mathematicians. Although today we know quite a lot about them, many questions remain open
and they are still a topic under intensive study. (For example, o
Exercise 4
MA407
In this exercise we to consider a sorting strategy that is dierent from the strategies we saw
in the lecture: we want to sort by switching elements that are not in the right order. More
precisely we want to sort an array x of type int[] b
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 7: More improper integrals and the manipulation of proper integrals
For these and all other exercises on this course, you must show all your working.
1.
Determine whether each of the followin
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 8: Leibnizs rule, the manipulation of improper integrals and LTs
For these and all other exercises on this course, you must show all your working.
1.
For x > 0, a function, f , is dened by
x2
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 5: FTC (again), transformations and more double integrals
For these and all other exercises on this course, you must show all your working.
1.
The function, p(x, y ), of two variables is dene
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 6: Improper integrals
For these and all other exercises on this course, you must show all your working.
1. Sketch a graph of f (x) = sin2 ( x) for x 0. (Or use Maple.)
From your picture, make
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 3: Taylor series, more limits and the denition of the Riemann integral
For these and all other exercises on this course, you must show all your working.
1.
(a) Find the Taylor series expansio
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 4: The fundamental theorem of calculus and double integrals
For these and all other exercises on this course, you must show all your working.
1.
Let f be a continuous function taking positive
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 2: Approximate behaviour and convergence
For these and all other exercises on this course, you must show all your working.
1.
For x > 0, let f (x) = x ln 1 +
1
.
x
Evaluate f (x) for some lar
MA212: Further Mathematical Methods (Calculus) 201314
Exercises 1: Assumed background
The lectures do not cover practical techniques for integration of functions of a single variable as
students on this course are supposed to be skilled in this already. H
Exercise Set 8
1. The function f : R3 R2 with component functions f1 and f2 is dened by
u = f1 (x, y, z ) = x2 + y 2 + z 2 ;
v = f2 (x, y, z ) = x y.
Find all the points x = (x, y, z )T such that f (x) = (8, 0)T , and describe the curve consisting
of thes
Exercise Set 1
Hand in solutions to the starred questions to your class teacher.
1. Are the lines with equations
x
1
3
y = 2 + s5
z
2
7
and
x
7
6
y = 12 + t 10
z
16
14
parallel or are they coincident (meaning: are they the same line)?
2. Which of th
Math 113 section 17: Calculus II
Syllabus: Fall 2011
Instructor: Steven McKay TMCB 350, 422-1760, mckay@math.byu.edu
Oce Hours: MWF 10:00-10:50, T/Th 3:00-3:50
Classroom and Time: T/Th in 136 TMCB
Text: Calculus, 6E, Volume 2 by James Stewart.
Website:
Al
Math 113 Homework Assignments - Fall 2009
Math 113 Section 17 Schedule
Due dates in parentheses are for paper homework. All other due dates are for online Homework.
Week
Section
Aug 30
Sep 1
Sep 6
Sep 8
Sep 13
Sep 15
Sep 27
Sep 29
Oct 4
Oct 6
Oct 11
Oct 1