The FAC course
The Foundation Course consists of a set of eight chapters of notes covering the following ideas:
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Notation
Numerical Methods I
Mathematical constants and standard functions
Algebra
Numerical Methods II
Differentiation
Integration
Vectors and matrices
We recommend that you work through the sections that you are unsure of, completing the questions that are given. If you need further practice, there is a Question and Answer
Bank and a Summary Test. These both cover material from all the chapters.
Section 5 of this study guide gives you an index of the topics that are covered in order to identify quickly which chapters you need to look at.
When you are working through the Core Technical subjects you can continue to use this course as a reference document if you come across areas of mathematics which you are still unhappy about.
ACET - January 2012 Examinations
Institute of Actuaries of India
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1
Syllabus
1.1
Syllabus
This syllabus has been written to help in designing introductory tuition material for new students. It is not an official syllabus of the profession. The topics are all required within the Core Technical subjects. From past experience we know that some students can be a little rusty on mathematical techniques so we have designed a course to help students brush up on their knowledge.
Unlike other actuarial subjects, there is no official syllabus, Core Reading or formal examination. (a)
Mathematical Notation, Terminology and Methods
(a)(i) Be familiar with standard mathematical notation and terminology, so as to be able to understand statements such as the following:
1.
∃a, b, c, n ∈ , n ≥ 3 : a n + b n = c n
/
2.
3.
4.
5.
6.
∀x ∈ (−∞, 0], x 2 ∈ + ∪ {0}
= {x : x = 1, 2,3,…} x ∈∅ ⇒ x = −163
“Zero is a non-negative integer; π is a