Introductory Mathematics Course - London School of Economics (LSE)

Course Description

Are you looking to bridge the gap between high school mathematics and undergraduate-level studies? Look no further than this comprehensive introductory mathematics course offered by the prestigious London School of Economics (LSE)! This course is designed to develop sophisticated mathematical skills while focusing on practical applications, making it the perfect stepping stone for students transitioning to higher education or seeking to enhance their mathematical prowess.

What Students Will Learn

In this course, you'll embark on an exciting journey through the fundamental concepts of mathematics. You'll gain a solid grounding in arithmetic and algebra, explore the fascinating world of functions, and delve into the essentials of calculus. Additionally, you'll be introduced to financial mathematics, providing you with valuable skills applicable to real-world scenarios. By the end of the course, you'll be able to confidently manipulate algebraic expressions, graph and analyze functions, perform differentiation and integration, and calculate basic financial quantities.

Pre-requisites

This course is tailored for students who have previously studied Mathematics up to GCSE-level (UK) or equivalent. If you have a basic understanding of mathematical concepts from your high school education, you're well-prepared to take on this course and elevate your skills to the next level.

Course Content

• Arithmetic and Algebra: Review of basic operations, algebraic manipulation, linear and quadratic equations
• Functions: Introduction to various function types, inverse functions, and logarithms
• Calculus: Derivatives, integrals, curve sketching, and optimization problems
• Financial Mathematics: Compound interest, sequences, investment schemes, and valuation

Who This Course Is For

• Recent high school graduates preparing for university-level mathematics
• Students looking to strengthen their mathematical foundation
• Professionals seeking to enhance their quantitative skills
• Anyone interested in applying mathematical concepts to real-world problems

Real-World Applications

• Economics and Finance: Apply calculus and financial mathematics concepts in economic analysis and financial modeling
• Business: Use optimization techniques for decision-making and resource allocation
• Science and Engineering: Employ mathematical functions and calculus in scientific research and engineering problems
• Data Analysis: Utilize algebraic and statistical concepts in data interpretation and visualization

Syllabus

By enrolling in this course, you'll gain a solid foundation in mathematics that will serve you well in your academic journey and beyond. Don't miss this opportunity to enhance your mathematical skills and open doors to exciting new possibilities in your education and career!