Course : CIE Further Math – Mechanics
Ö Lecture Notes,
Ö Lecture PPT,
Ö Related video link
Ö Suggested Experiment
Course Meeting Time :
Discussion : 2 sessions / week, 1 hour / session
Recitation : 1 session / week, 1 hour / session
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Being confident, responsible, reflective, innovative, and engaged intellectually, socially, with information and ideas to make a difference on facing future challenges with the ability to learn knowledgeably of AS/A-Level Pure Maths units P1 and P3, under code 9709 CIE Mathematics and AS/A-Level Mechanics especially units M1 and M2, with Probability and Statistics units S1 and S2 under Mathematics code 9709. It’s a mandatory course you have taken before you try out on this course.
Course Descriptions :
Cambridge International Examination A Level Further Mathematics is accepted by universities and employers as proof of mathematical knowledge and understanding. This CIE A-Level Further Math’s course is designed to give you a deeper understanding of mathematical principles, the further development of mathematical skills including the use of applications of mathematics in the context of everyday situations with the ability to analyze problems logically, recognizing when and how a situation may be represented mathematically, and as a solid foundation for further study, on typed of topics like:
· Momentum and Impulse
· Circular Motion
· Equilibrium of a Rigid Body under coplanar forces
· Rotation of a Rigid Body
· Simple Harmonic Motion
The course is designed for CIE A-Level Further Maths - Mechanics enthusiast in all levels, beginner, intermediate, expert, who want to understand the conceptual laws and physical processes that govern the sources, extraction, transmissions, storage, conversion, and end uses of Calculus.
Course Goal :
The basic objective of CIE A-Level Further Maths is to relate technique with applications. After completing this course, the learner will able to demonstrate an understanding of the large-scale as a cumulative sum, of the small-scale as a rate of change, and of the inverse relationship between them, and competency in:
01. Understand relevant mathematical concepts, terminology, and notation.
02. Develop their mathematical knowledge and skills in a way that encourages confidence and provides satisfaction and enjoyment.
03. Recall accurately and use successfully appropriate manipulative techniques
04. Recognize the appropriate mathematical procedure for a given situation
05. Develop the ability to analyze problems logically, recognize when and how a situation may be represented mathematically, identify and interpret relevant factors and, where necessary, select an appropriate mathematical method to solve the problem
06. Apply combinations of mathematical skills and techniques in solving problems. The use of mathematics as a means of communication with an emphasis on the use of clear expression.
07. Present mathematical work, and communicate conclusions, in a clear and logical way. To acquire the mathematical background necessary for further study in this or related subjects.
Course Structure :
This course, designed for independent study, has been organized to follow the sequence of topics covered in the learning course on CIE A-Level Further Maths Syllabus and Scheme of Works. The content is organized into three pure math major continued:
1. Further Maths - Pure Maths
2. Further Maths - Mechanics
3. Further Maths - Statistics
Each of the units has been further divided into parts (A, B, C, etc.) with each part containing a sequence of sessions. Because each session builds on knowledge from previous sessions, it’s important you progress through the sessions in order. Each session covers an amount you might expect to complete in one week.
Within each unit you will be presented with sets of problems at strategic points, so you can test your understanding of the material. As you begin each part of a unit, review the problem set at its end so that you may work toward solving those problems as you learn new material.
AT.LS expects its learner to spend about 100 hours on this course. More than half of that time is spent preparing for class and doing assignments. It’s difficult to estimate how long it will take you to complete the course, but you can probably expect to spend an hour or more working through each individual session.
Lecture PPT :
Most sessions include ppt lectures of Albert Tan teaching CIE A-Level Further Maths, recorded live in the office room in the spring of 2020. The PPT was carefully segmented to take you step-by-step through the content. The PPT is accompanied by supporting course notes.
Recitation PPT :
This course includes a dozen of recitation PPT – brief problem-solving sessions taught by an experienced learner – developed and recorded especially for you, the independent learner.
Assignments and Exam:
No textbook is required for this course.
The notes that accompany the PPT present their content slightly more formally than the lecture does. If you are wondering exactly what conditions must hold for a statement to be true or if you wish to see the details of the calculations displayed on the slides, check the notes.
“Worked Examples” present a problem or problems to be solved; many of these problems have appeared on homework assignments at course. After you have solved these problems you can check your answer against a detailed solution as per illustrative examples of the learner to work at different levels of performance.
Some worked examples will be accompanied by a Mathletes. These interactive learning tools will improve your geometric intuition and illustrate how changes in certain factors affect the results of different calculations.
Problem sets occur at the end of each part; these were taken directly from the homework assigned at each course. As you start each part, familiarize yourself with the problems in the problem set. This will enable you to work on each problem as you gain the knowledge you need to solve it. Once you have completed the problem set you can check your answers against the solutions provided. (The problem sets are carefully selected from a longer list of questions available to you. Do not hesitate to work any problem that piques your interest).