Download Curriculum F7pm 09_10 - St Francis` Canossian College

ST. FRANCIS' CANOSSIAN COLLEGE
MATHEMATICS DEPARTMENT 2009/2010
CURRICULUM PLANNING
Subject: Pure Mathematics
Class: F. 7 Sc
Subject Teacher(s): Ms Q. Kwok
Month
Aug
2009
Ch.
Alg. 6
Sept
2009
Alg. 8
BASIC CONTENT / OBJECTIVES
System of Linear Equations
- to acquire skills in solving system of
linear equations
Inequalities
- to study the various techniques used in
proving inequalities
DETAILED CONTENT
1. simple treatment in solving system of linear
equations - use of Cramer's rule
2. more detailed treating in solving system of
linear equations - Gaussian elimination
1. elementary properties of inequalities
2. idea of intervals
3. triangle inequalities
4. A.M.  G.M.
5. Cauchy-Schwarz inequality
6. general techniques in proving inequality
- by proving increasing / decreasing function
- by locating max / min of function
- working backwards
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REMARKS
Month
Oct
Ch.
Cal. 7
Nov
Cal 9
Dec
Alg.1
3
BASIC CONTENT / OBJECTIVES
Limit of a Sequence
- to understand the definition of limit of a
sequence
- to investigate properties of limit of a
sequence
DETAILED CONTENT
1.
2.
3.
4.
5.
6.
Introduction
Convergent and Divergent Sequences
Operations on Limits of Sequences
Sandwich Theorem for Sequences
Monotonic Sequences
The Number e
Theory of Differential & Integral Calculus
- to study various theories of differential and 1. Mean Value Theorem
integral calculus and their applications
2. Comparison of Definite Integrals
3. Differentiation of Integrals
Complex Number
- to investigate the various properties of
complex number
- to study the De Moivre's theorem and to use
it in factorizing polynomials
- to study complex value function as an
example of function mapping from a two
dimensional space to another two dimensional
space
1. idea of complex number
2. operations with complex numbers
3. conjugate / properties of conjugates and its
relation with modulus
4. polar form
5. geometric representation of complex number /
Argand diagram
6. geometric interpretation of the operations of
complex number
7. Complex value function
8. De Moivre's Theorem
9. Nth root of unity / of a complex number
10. Factorization of polynomial
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REMARKS
Month
Ch.
Jan 2010 Cal. 1
Jan
Feb
10
(Cal)
BASIC CONTENT / OBJECTIVES
Polar Coordinates
- to recognize polar coordinates
Conic Sections
- to introduce the idea of matrices and
determinants
- to understand of idea of transformation and
to equip with skills in relating transformation
with matrices
DETAILED CONTENT
1. Fundamental Concepts
2. Polar Equations
3. Relation between rectangular and polar
coordinates
4. Sketch of Graphs in Polar Coordinates
5. Intersection of Two Curves in Polar Coordinates
6. Slope of a Tangent
1. Basic Formulae
2. Loci
3. Parametric Equations
4. Straight Lines
5. Circles
6. General Conics in Two Dimensional Plane
7. Pair of Straight Lines
8. Parabolae
9. Ellipses
10. Hyperbola
MOCK EXAM
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REMARKS