Week 18 (29/4/2013 - 3/5/2013)

Date	29/4/2013 (Monday)
Time	8.15 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to find the first and second derivative of a function, the first four terms of the Maclaurin series of the function.
Activities	Discussing Example 19 (textbook, page 168) Working out question no. 2 (textbook, page 170)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to the first derivative of a function, however, finding the second derivative seemed to be an uphill task for 6 out of 7 students. As a remedial action, the homework for today includes a similar question (no. 3, textbook, page 170) which will be discussed tomorrow.

Date	30/4/2013 (Tuesday)
Time	8.50 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Numerical methods
Learning Area	Numerical solution of equations
Learning Outcome	Students should be able to locate a root of an equation approximately by means of graphical considerations and by searching for a sign change, and to use an iterative formula of the form xn+1 = f (xn) to find a root of an equation to a prescribed degree of accuracy.
Activities	Discussing Examples 1-5 (textbook, page 177) Working out questions no. 1a, 1b and 1c (textbook, page 178)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2) Numerical solutions' notes
Reflection	We only managed to discussed the examples; working out the questions will be done during the next class.

1/5/2013: Cuti Hari Pekerja

Date	2/5/2013 (Thursday)
Time	9.45 a.m. - 10.55 a.m.
Class	6AS
Subject	Mathematics T
Topic	Numerical methods
Learning Area	Numerical solution of equations
Learning Outcome	Students should be able to use an iterative formula of the form xn+1 = f (xn) to find a root of an equation to a prescribed degree of accuracy.
Activities	Working out questions no. 1a, 1b and 3 (textbook, page 178)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2) Numerical solutions' notes
Reflection	The main risk of using the iterative method: a student might be pondering too long, resulting in confusion when trying to identify x1, x2, x3 and so on. Question no. 4 is given as a homework to help them to hone the necessary skill.

Date	3/5/2013 (Friday)
Time	9.40 a.m. - 10.40 a.m.
Class	6AS
Subject	Mathematics T
Topic	Numerical methods
Learning Area	The Newton-Raphson method
Learning Outcome	Students should be able to use the Newton-Raphson formula of the form  xn+1 = xn − [f ( xn) ∕ f ' ( xn)] , f ' ( xn) ≠ 0  to find a root of an equation to a prescribed degree of accuracy  .
Activities	Working out questions no. 1, 2 and 3 (textbook, page 185)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2) Newton-Raphson method Newton's method on wikipedia.com Newton's method in PDF format
Reflection	Working out questions no. 2 and 3 has yet to be completed; the related discussion will be continued during the next class.

Week 17 (22-26/4/2013)

Date	22/4/2013 (Monday)
Time	8.15 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Differentiation and integration of Maclaurin Series
Learning Outcome	Students should be able to perform differentiation and integration of Maclaurin Series.
Activities	Discussing Example 11 (textbook, page 163) Working out two questions originating from youtube.com
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	The lesson, which has yet to be completed, will be discussed during the next class.

23/4/2013: Pembentangan PBS Pengajian Am

Date	24/4/2013 (Wednesday)
Time	10.20 a.m. - 11.30 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Differentiation and integration of Maclaurin Series
Learning Outcome	Students should be able to perform differentiation and integration of Maclaurin Series.
Activities	Discussing Example 11 (textbook, page 163) Working out two questions originating from youtube.com
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to perform differentiation and integration of Maclaurin Series in the questions from youtube.com

Date	25/4/2013 (Thursday)
Time	9.45 a.m. - 10.55 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Differentiation and integration of Maclaurin Series
Learning Outcome	Students should be able to use series expansions to find the limit of a function.
Activity	Working out questions no. 1c and 1d (page 169, textbook)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use series expansions to find the limit of a function in questions no. 1c and 1d.

Date	26/4/2013 (Friday)
Time	9.40 a.m. - 10.40 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Differentiation and integration of Maclaurin Series
Learning Outcome	Students should be able to use Maclaurin's theorem to find the first three non-zero terms of a function.
Activity	Working out questions no. 1a and 1b (page 170, textbook)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use Maclaurin's theorem to find the first three non-zero terms of a function in questions no. 1a and 1b

Week 16 (15-19/4/2013)

Date	15/4/2013 (Monday)
Time	8.15 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 4 (textbook, page 159) Working out question no. 1a (textbook, page 162)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions in question no. 1a.

Date	16/4/2013 (Tuesday)
Time	8.50 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 4 (textbook, page 159) Working out question no. 1b (textbook, page 162)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions question no. 1b.

Date	17/4/2013 (Wednesday)
Time	10.20 a.m. - 11.30 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard exponential series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 4 (textbook, page 159) Working out question no. 1c (textbook, page 162)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use standard exponential series to find the series expansions of the sums, differences, products, quotients and composites of functions in question no. 1c.

Date	18/4/2013 (Thursday)
Time	9.45 a.m. - 10.55 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard logarithmic series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 10 (textbook, page 162) Working out questions no. 1a and 1b (textbook, page 162)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to use standard logarithmic series to find the series expansions of the sums, differences, products, quotients and composites of functions in questions no. 1a and 1b.

Date	19/4/2013 (Friday)
Time	9.40 a.m. - 10.40 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard hyperbolic series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 11 (textbook, page 163) Working out questions no. 1d and 1e (textbook, page 164)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2) Definition of hyperbolic functions on wikipedia Notes on mathcentre.ac.uk
Reflection	Students have been able to use standard hyperbolic series to find the series expansions of the sums, differences, products, quotients and composites of functions in questions no. 1d and 1e.

Week 15 (8-12/4/2013)

Date	8/4/2013 (Monday)
Time	8.15 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Differential equations
Learning Area	Differential equations
Learning Outcome	Students should be able to find the general solution of a first order differential equation with separable variables.
Activities	Discussing Assignment B (Student's Manual 2012/2013, page 10) Working out question no. 5
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to find the general solution of a first order differential equation with separable variables in question no. 5.

Date	9/4/2013 (Tuesday)
Time	8.50 a.m. - 9.25 a.m.
Class	6AS
Subject	Mathematics T
Topic	Differential equations
Learning Area	Differential equations
Learning Outcome	Students should be able to sketch a graph related to differential equation with separable variables.
Activities	Discussing Assignment B (Student's Manual 2012/2013, page 10) Working out question no. 5, section 2
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to sketch a graph related to differential equation with separable variables in questions no. 5, section 2.

Date	10/4/2013 (Wednesday)
Time	10.20 a.m. - 11.30 a.m.
Class	6AS
Subject	Mathematics T
Topic	Differential equations
Learning Area	Differential equations
Learning Outcome	Students should be able to determine the value of constants related to differential equation with separable variables.
Activities	Discussing Assignment B (Student's Manual 2012/2013, page 10) Working out question no. 6
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	Students have been able to determine the value of constants related to differential equation with separable variables in question no. 6.

Date	11/4/2013 (Thursday)
Time	9.45 a.m. - 10.55 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to find the Maclaurin Series for a function and the interval of convergence.
Activities	Discussing Example 1 (textbook, page 156) Working out questions no. 1 and 2 (textbook, page 159)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2) Finding a Maclaurin Series expansion on Youtube Maclaurin Series in wolfram.com Online notes on Maclaurin Series Ratio test on Wikipedia Ratio test on lamar.edu
Reflection	Students have been able to find the Maclaurin Series for a function and the interval of convergence in questions no. 1 and 2

Date	12/4/2013 (Friday)
Time	9.40 a.m. - 10.40 a.m.
Class	6AS
Subject	Mathematics T
Topic	Maclaurin Series
Learning Area	Maclaurin Series
Learning Outcome	Students should be able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions.
Activities	Discussing Example 4 (textbook, page 159) Working out question no. 1 (textbook, page 162)
Teaching Aids	STPM Mathematics T (Penerbitan Pelangi, Paper 2)
Reflection	The lesson, which has yet to be completed, will be repeated during the next class.