## Mathematics

### Recent Submissions

• #### Calculus of Several Variables: Analysis 2 ﻿

(Mkwawa University College, 2013)
At the end of the course specifically, you will be able to define domain, limit, continuity, partial derivatives, and differentiability of functions of several variables, to determine domain, limits, partial derivatives, ...

• #### Calculus I ﻿

(Eastern Mediterranean University, 2014)
The objective of this course is to introduce the fundamental ideas of the differential and integral calculus of functions of one variable. Calculus was first invented to meet the mathematical needs of scientists of the ...

• #### Why do We do Proofs? ﻿

(University of Nottingham, 2008)
The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to ...

• #### Regularity Conditions for Banach Function Algebras ﻿

(University of Nottingham, 2009-06)
In June 2009 the Operator Algebras and Applications International Summer School was held in Lisbon. Dr Joel Feinstein taught one of the four courses available on Regularity conditions for Banach function algebras. He ...

• #### Mathematical Analysis ﻿

(University of Nottingham, 2010)
This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, ...

• #### Levels of Measurement ﻿

(University of Nottingham, 2011)
Aimed at statistics beginners, this learning object describes, and gives examples of, the four levels of measurement of data: nominal, ordinal, interval and ratio.

• #### Introduction to Compact Operators ﻿

(University of Nottingham, 2007-10)
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. This includes definitions and statements of the background and main results, with illustrative examples and some proofs.

• #### Functional Analysis ﻿

(University of Nottingham, 2008)
Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite ...

• #### Beyond Infinity ﻿

(University of Nottingham, 2007)
This popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. ...

• #### Mathematics: Lesson 1: Module 6: The Pythagoras Theorem ﻿

(Commonwealth of Learning (COL), 2011)
The Institute for Adult Education in Tanzania developed a Multimedia Strategy to assist them to achieve its Mission ‘to design and implement quality adult and continuing education and training programmes that will enable ...

• #### Quantitative Skills for Competitive Exams ﻿

(Commonwealth of Learning (COL), 2016-08)
This course intends to equip learners with the knowledge and skills needed to solve problems in quantitative aptitude and handle advanced learning for further value addition.

• #### Complex Variables ﻿

(Universiti Teknologi Malaysia, 2012)
This course introduces calculus of functions of a single complex variable. Topics to be covered are functions of a complex variable, complex differentiation, complex integration, complex series including Taylor and Laurent ...

• #### Statics of Particles ﻿

(Universiti Teknologi MARA (UiTM), 2013)
After completing this module students should be able to define the force vector in a plane, solve the vector operations, determine the rectangular components of a force, calculate the addition of forces by summing X and Y ...

(Universiti Teknologi MARA (UiTM), 2014)
At the end of this lesson students will be able to explain the concept of simple interest, use the simple interest formula to calculate interest, use the simple interest amount to calculate the present and future values ...

• #### Learning Integration & Effective Approach ﻿

(Universiti Teknologi MARA (UiTM), 2014)
At the end of this unit students should be able to integrate polynomials, trigonometric functions, exponents and logarithmic functions, solve integration using substitution techniques, and solve problems related to the ...

• #### Introduction to Statistics ﻿

(Universiti Teknologi MARA (UiTM), 2014)
After completing this module students should be able to describe the difference between inferential and descriptive statistics, and various other statistical terms, and also understand various data collection methods.

• #### Calculus: Applicaitons of Definite Integrals ﻿

(Universiti Teknologi MARA (UiTM), 2014)
This chapter explains how to find the area between two curves.

• #### MathsCasts: Using Complex Exponentials to Integrate Exponential Times Cos or Sin Function ﻿

(Swinburne Commons, 2016)
We use the complex exponential to integrate e^(ax) times cos(bx) or sin(bx) as real and imaginary parts of the same integral. Integration by parts is thereby avoided.

• #### MathsCasts: Trigonometric Integrals in the Complex Plane: Part 5 ﻿

(Swinburne Commons, 2016)
We attempt to evaluate an integral that is not well-defined and investigate how this problem manifests itself in the complex contour version of the integral.

• #### MathsCasts: Trigonometric Integrals in the Complex Plane: Part 4 ﻿

(Swinburne Commons, 2016)
We complete the integration introduced in part 3, using Cauchy's residue theorem.