Applied Mathematics for CCEA AS Level

This resource provides a comprehensive coverage of unit AS 2: Applied Mathematics of the CCEA specification, covering mechanics and statistics with logical explanations, examples, and exercises. It includes a large number of exercises with answers and is designed to guide students through the subject.

Format: Paperback / softback
Length: 208 pages
Publication date: 30 August 2022
Publisher: Colourpoint Creative Ltd

This comprehensive resource is designed to provide thorough coverage of Unit AS 2: Applied Mathematics, encompassing both mechanics and statistics, as specified by the CCEA curriculum. The book begins with a logical explanation of each topic, accompanied by examples to reinforce understanding and key words and definitions for clarity. Examples and definitions are carefully distinguished to facilitate revision and progression throughout the book. The material then transitions into a series of exercises, guiding students through the subject.

To offer maximum flexibility to teachers, the book includes an extensive array of exercises. Answers to these questions are provided at the back of the book.

The contents of the book are organized into several chapters:

1. Concepts in Mechanics: This chapter introduces fundamental principles of mechanics, including kinematics, constant acceleration, motion graphs, forces, Newton's Laws, friction, connected bodies, and more.

2. Kinematics: This chapter delves into the study of motion, covering topics such as displacement, velocity, acceleration, time, and graphs.

3. Constant Acceleration: This chapter explores the concept of constant acceleration, including its definition, equations, and applications in real-world scenarios.

4. Motion Graphs: This chapter introduces the concept of motion graphs, which are used to represent and analyze the motion of objects.

5. Forces: This chapter discusses the principles of forces, including their types, equations, and applications in solving problems involving forces.

6. Newton's Laws: This chapter presents the three fundamental laws of motion, including Newton's First Law, Newton's Second Law, and Newton's Third Law.

7. Friction: This chapter explores the concept of friction, including its causes, effects, and methods of reducing friction in mechanical systems.

8. Connected Bodies: This chapter examines the dynamics of connected bodies, including the principles of equilibrium and momentum.

9. Statistical Sampling: This chapter introduces the concept of statistical sampling, including random sampling techniques, sample size determination, and data analysis.

10. Data Presentation and Interpretation: This chapter focuses on presenting data effectively, including graphical representation, data summaries, and interpretation of statistical results.

11. Central Tendency and Variation: This chapter explores the concepts of central tendency.

12. Correlation and Regression: This chapter discusses the concepts of correlation and regression, including their definitions, formulas, and applications in analyzing data.

13. Data Cleaning: This chapter introduces the process of data cleaning, including removing outliers, dealing with missing data, and transforming data for analysis.

14. Probability: This chapter introduces the concept of probability, including random variables, probability distributions, and conditional probability.

In conclusion, this resource is an invaluable tool for students studying Unit AS 2: Applied Mathematics. It provides a comprehensive and well-structured approach to the subject, covering all the necessary topics and concepts in detail. With its logical explanations, examples, and exercises, the book helps students grasp the fundamentals of mechanics and statistics and apply them to real-world scenarios. The inclusion of answers to exercises and comprehensive coverage of statistical sampling and data presentation techniques further enhances the learning experience. Whether you are a teacher or a student, this book is a must-have for achieving success in your Applied Mathematics studies.

Weight: 734g
Dimension: 210 x 281 x 20 (mm)
ISBN-13: 9781780733456