# MA100 Mathematical Methods Notes | Assignment Help | Syllabus

## Country: United Kingdom

### University: The London School Of Economics And Political Science

This course is required for the BSc in Actuarial Science, the BSc in Business Mathematics and Statistics, the BSc in Econometrics and Mathematical Economics, the BSc in Economics, the BSc in Economics with Economic History, the BSc in Finance, the BSc in Financial Mathematics and Statistics, the BSc in Mathematics and Economics, the BSc in Mathematics with Economics, and the BSc in Mathematics, Statistics, and Business. This course is offered as part of the BSc in Accounting and Finance, BSc in Philosophy and Economics, BSc in Philosophy, Politics, and Economics, and MSc in Economics programs (2 Year Programme). Students on different programs and General Course students may take this course as an outside option if rules allow.

Pre-requisites

This course requires understanding of basic mathematical methods, including calculus, as shown by a high grade in A Level Mathematics, for example.

Content of the course

This is an introductory course for individuals interested in using mathematics in social science or in any other setting. A variety of fundamental mathematical ideas and techniques in one- and multivariable calculus, as well as linear algebra, are presented, with some applications shown. It is a prerequisite for any mathematically oriented economics choices as well as many other mathematics courses. Topics addressed include: Rank, matrices, reduced row echelon form Gaussian elimination, systems of linear equations Determinants. Vector spaces, linear independence, basis, and dimension are all terms that may be used to describe vector spaces. Similarity, linear transformations Eigenvalues. Diagonalization. Diagonalization that is orthogonal. Numbers that are difficult to understand. Vectors. Derivatives, gradients, and tangent hyperplanes are all examples of multivariable functions. Lagrange’s technique is used in optimization. Functions with a vector value, their derivatives, and how to manipulate them Transformations with inverse functions, local inverses, and critical points. Differential and difference equations, as well as integration. Some of the above-mentioned subjects have applicability.

Teaching

This course is offered throughout the period of Michaelmas and Lent Term in a mix of courses and lectures totaling a minimum of 60 hours. This year, a mix of virtual classrooms and lectures provided as online videos will be used to offer part or all of this instruction.

Coursework that is intended to be formative

In order to prepare for their courses, students will be required to complete a number of weekly self-study tasks (and double-check their answers using the solutions given). Homework will be handed in to the appropriate class teacher for grading and feedback on a weekly basis. Throughout the year, Mock Exam questions will be submitted for grading and feedback at regular intervals. Dealing with the written work as it is given, in a regular and methodical way, is essential for success in this paper.

Calculus, Concepts and Methods, by Ken Binmore and Joan Davies; Linear Algebra, Concepts and Methods, by Martin Anthony and Michele Harvey.

Assessment

In the summer test period, there will be a 75 percent exam (duration: 3 hours).

In the January test period, there will be a 25% exam (duration: 1 hour).

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