Mathematics and Statistics Fundamentals
Offered By: London School of Economics and Political Science via edX
Course Description
Overview
This comprehensive MicroBachelors program in Mathematics and Statistics Fundamentals introduces students to the essential mathematical and statistical concepts, methods and techniques which they can use to grow their skills in quantitative careers, or as a step towards further study at undergraduate level or in specialised subjects.
Spanning four individual courses, all of which are self-paced and asynchronous, this programme provides students with maximum flexibility to learn with a world-leading institution from anywhere in the world in a way that fits their schedule. Students will be introduced to foundational mathematical and statistical concepts, as well as gain essential skills in the methods of calculus and linear algebra required for economic-based subjects.
These courses are based on service-level statistics courses offered as part of the University of London degree programmes in Economics, Management, Finance and the Social Sciences (EMFSS), with academic direction from the London School of Economics and Political Science (LSE). They equip students with the fundamental knowledge and tools to set them up for success in second and third-year courses in subjects such as economics, finance, data science, mathematics, statistics, business analytics and programming.
Those that complete this MicroBachelors program may wish to go on to apply to the University of London's academically rigorous EMFSS degree programmes that give learners the opportunity to earn a BSc from a top London university wherever they are in the world.
Should you wish, you may elect to just study some of the individual courses within the MicroBachelors program, perhaps to build or refresh quantitative skills for career advancement.
No prior mathematics or statistics knowledge is required for this programme.
Mathematics 1a: Differential calculus
- Functions and graphs
- The derivative
- Curve sketching and optimisation
- Functions of two variables and partial derivatives
- Critical points of two-variable functions
Mathematics 1b: Integral calculus, algebra, and applications
- Integration
- Profit maximisation
- Constrained optimisation
- Matrices, vectors, and linear equations
- Sequences, series, and financial modelling
Statistics 1a: Introductory statistics, probability and estimation
- Mathematical revision and the nature of statistics
- Data visualisation and descriptive statistics
- Probability theory
- The normal distribution and ideas of sampling
- Point and interval estimation
Statistics 1b: Statistical methods
- Hypothesis testing I
- Hypothesis testing II
- Contingency tables and the chi-squared test
- Sampling design and some ideas underlying causation
- Correlation and linear regression
Syllabus
Course 1: Mathematics 1 Part 1: Differential Calculus
The first in a series of two courses from LSE which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.
Course 2: Mathematics 1 Part 2: Integral calculus, algebra, and applications
The second in a series of two courses which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.
Course 3: Statistics 1 Part 1: Introductory statistics, probability and estimation
The first in a series of four courses which help you to master statistics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.
Course 4: Statistics 1 Part 2: Statistical Methods
The second in a series of four courses which help you to master statistics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.
Course 5: Mathematics and Statistics Fundamentals Proctored Exam
Test your knowledge and ability to apply the concepts and methods from the four courses included in the LSE MicroBachelors program in Mathematics and Statistics Fundamentals and take your first step towards further study at undergraduate level or upskill in high-growth careers.
Courses
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This exam assesses all concepts, methods and techniques introduced across the four courses within the LSE MicroBachelors program in Mathematics and Statistics Fundamentals:
Mathematics 1: Differential calculus
Mathematics 1: Integral calculus, algebra, and applications
Statistics 1: Introductory statistics, probability and estimation ****
Statistics 1: Statistical methods ****
It is two hours in duration and must be sat under online proctored conditions.
It is the final step towards completing the LSE MicroBachelors program in Statistics Fundamentals and you must pass with a mark of 60% or higher to gain your certificate.
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Statistics 1 Part 1 is a self-paced course from LSE which aims to introduce you to and develop your understanding of essential statistical concepts, methods and techniques, emphasising the applications of these methods. This course can be taken alone or as part of the LSE MicroBachelors program in Statistics Fundamentals or the LSE MicroBachelors program in Mathematics and Statistics Fundamentals.
Part 1, Introductory Statistics, Probability and Estimation, covers the following topics:
● Mathematical revision and the nature of statistics
● Data visualisation and descriptive statistics
● Probability theory
● The normal distribution and ideas of sampling
● Point and interval estimation
Statistics 1 Part 1 forms part of a series of courses which focuses on the application of statistical methods in management, economics and the social sciences. During this course, you will focus on the interpretation of tables and results, and how to approach statistical problems effectively.
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Statistics 1 Part 2 is a self-paced course from LSE which aims to introduce you to and develop your understanding of essential statistical concepts, methods and techniques, emphasising the applications of these methods. This course can be taken alone or as part of the LSE MicroBachelors program in Statistics Fundamentals or the LSE MicroBachelors program in Mathematics and Statistics Fundamentals.
Part 2, Statistical Methods, covers the following topics:
● Hypothesis testing I
● Hypothesis testing II
● Contingency tables and the chi-squared test
● Sampling design and some ideas underlying causation
● Correlation and linear regression
Statistics 1 Part 2 forms part of a series of courses which focuses on the application of statistical methods in management, economics and the social sciences. Attention will focus on how to approach statistical problems, as well as the interpretation of tables and results.
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Mathematics 1 Part 1 is the first of two self-paced courses from LSE which aim to introduce and develop your understanding of essential mathematical concepts, methods and techniques. This course can be taken alone or as part of the LSE MicroBachelors program in Mathematics and Statistics Fundamentals.
Part 1 covers the following topics:
-
Functions and graphs
-
The derivative
-
Curve sketching and optimisation
-
Functions of two variables and partial derivatives
-
Critical points of two-variable functions
This course will equip you with the skills to solve unseen mathematical problems in these areas and will emphasise their applications to problems in economics, management, and related areas.
-
-
Mathematics 1 Part 2 is the second of two self-paced courses from LSE which aim to introduce and develop and understanding of essential mathematical concepts, methods and techniques. This course can be taken alone or as part of the LSE MicroBachelors program in Mathematics and Statistics Fundamentals.
Part 2 covers the following topics:
-
Integration
-
Profit maximisation
-
Constrained optimisation
-
Matrices, vectors, and linear equations
-
Sequences, series, and financial modelling
This course will equip you with the skills to solve unseen mathematical problems in these areas and will emphasise their applications to problems in economics, management, and related areas.
-
Taught by
Martin Anthony and James Abdey
Tags
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