The Binomial Expansion

AQA 'A' Level Year 1

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Why should you study this course?

Advanced Understanding: A Level 3 course delves deeper into the principles and applications of binomial expansion beyond basic algebraic manipulation. You'll learn more sophisticated techniques for expanding binomials and applying the expansion in various contexts.

Preparation for Further Studies: Binomial expansion is a fundamental concept in mathematics, especially in fields such as calculus, probability theory, and combinatorics. If you plan to pursue higher education or a career in these areas, a strong understanding of binomial expansion is essential.

Applications in Probability and Statistics: Binomial expansion is closely related to binomial probability distributions, which are used in statistics to model random experiments with two possible outcomes. Understanding binomial expansion enables you to calculate probabilities and make statistical inferences in real-world scenarios.

Applications in Engineering and Science: Binomial expansion is applicable in various engineering disciplines, such as electrical engineering, mechanical engineering, and chemical engineering. It is also used in scientific fields like physics, chemistry, and biology to model physical phenomena and analyse experimental data.

Applications in Finance and Economics: Binomial expansion is used in financial mathematics to model the behaviour of financial instruments, such as options and derivatives. It is also employed in economic modelling to analyse decision-making under uncertainty and risk.

Problem-Solving Skills: Studying binomial expansion at a Level 3 involves solving complex problems involving binomial coefficients, Pascal's triangle, and combinatorial identities. This enhances your problem-solving skills and mathematical reasoning abilities.

Career Opportunities: Proficiency in binomial expansion opens up career opportunities in various fields, including academia, research, finance, engineering, data analysis, and actuarial science. Many employers value candidates who possess strong mathematical skills, including knowledge of binomial expansion.

Intellectual Development: Studying binomial expansion at an advanced level fosters critical thinking, abstract reasoning, and mathematical fluency. These intellectual skills are transferable and applicable to a wide range of academic and professional endeavours.

In summary, studying a Level 3 course on binomial expansion provides you with valuable knowledge and skills that are applicable across multiple academic disciplines and professional fields. It prepares you for further studies, enhances your problem-solving abilities, and opens up diverse career opportunities.
Video Content

54 Mins

Interactive Exercises

15

Worked examples

5

Further Problems

7

Final Exam

20 Questions 

Price

£9.95

Meet the instructor

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Gilda Clark

UniCourse Mathematics Lecturer 
Gilda has a BSc(Hons) in Mechanical Engineering and a degree in Mathematics, followed by two postgraduate qualifications (PGCE) in Mathematics Education in Secondary and in Further Education, followed by an additional postgraduate certificate in teaching advanced mathematics from MEI exam board, Further Mathematics Network and Warwick University.
She has completed her initial studies abroad and prior to working at Unicourse, Gilda has gained a vast experience in teaching and lecturing mathematics, at all levels, engineering mathematics, some engineering units including mechanics, engineering science and structural mechanics in civil engineering to A-level mathematics and engineering students at BTEC level 3, HNC, HND, as well as the general mainstream education in schools and colleges for almost 20 years. She has experience in delivering one-to-one mathematics tuition as part of the NTP( National Tuition Programme).
At maths.unicourse.org, she is responsible for creating and developing A-level mathematics resources for , from writing interactive exercises, module outlines to producing videos based on her own materials.