TPF SESI 202223.docx A-F

REKOD INSTRUKSIONAL MINGGUAN LAMPIRAN 2
KOLEJ MATRIKULASI KEJURUTERAAN JOHOR KMKJ/P&P/RIM
Semester : 1 Sesi : 2022/2023
Nama Pensyarah : ABIRAMY A/P SUBRAMANIAM
Kod / Kursus : SM015/MATHEMATICS 1 Minggu : 18
Lecture/
Day / Date Time Class / Venue Tutorial Topic/ LO/Activity CLO F2F NF2F Reflection /Notes
8.00-9.00 AM M1T2/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 T&L activities successfully implemented.
E2.3 10.1 Extremum Problems
4/12/2022 9.00-10.00 AM M1T1/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 Use of technology / teaching aids needs improvisation.
SUNDAY E2.3 10.1 Extremum Problems
2.00 - 3.00 PM M1/ LECTURE TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 1 1 1 T&L activities need to be improved and varied.
DK1 10.1 Extremum Problems
3.00 - 4.00 PM B1T2(B)/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 T&L activities successfully implemented.
E2.1 10.1 Extremum Problems
5/12/2022 10.00-11.00 AM B1T2(B)/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 Optimum use of technology / teaching aids.
MONDAY E2.6 10.2 Rate of Change
B1T1(B)/ TOPIC 10 APPLICATIONS OF DIFFERENTIATION
11.00 AM - 12.00 PM TUTORIAL CLO 2 1 1 T&L activities need to be improved and varied.
E2.6 10.1 Extremum Problems
8.00-9.00 AM M1/ LECTURE TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 1 1 1 T&L activities need to be improved and varied.
DK1 10.2 Rate of Change
6/12/2022 9.00-10.00 AM M1T2/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 T&L objective(s) can be achieved by minimizing the
TUESDAY E2.4 10.2 Rate of Change distractions.
12.00-1.00 PM M1T1/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 T&L objective(s) can be achieved by minimizing the
E1.3 10.2 Rate of Change distractions.
B1T1(B)/ TOPIC 10 APPLICATIONS OF DIFFERENTIATION
2.00-3.00 PM TUTORIAL CLO 2 1 1 T&L objective(s) achieved.
E2.6 10.2 Rate of Change
M1T2/ TOPIC 10 APPLICATIONS OF DIFFERENTIATION
9.00-10.00 AM TUTORIAL CLO 2 1 1 T&L activities need to be improved and varied.
E2.1 10.2 Rate of Change
7/12/2022 B1T2(B)/ TOPIC 10 APPLICATIONS OF DIFFERENTIATION
11.00 AM - 12.00 PM TUTORIAL CLO 2 1 1 Use of technology / teaching aids needs improvisation.
WEDNESDAY E1.5 10.2 Rate of Change
M1T1/ TOPIC 10 APPLICATIONS OF DIFFERENTIATION
12.00-1.00 PM TUTORIAL CLO 2 1 1 T&L objective(s) achieved.
E1.5 10.2 Rate of Change
8/12/2022 10.00-11.00 AM B1T1(B)/ TUTORIAL TOPIC 10 APPLICATIONS OF DIFFERENTIATION CLO 2 1 1 T&L activities need to be improved and varied.
THURSDAY E2.1 10.2 Rate of Change
Disediakan oleh: Disahkan oleh:
ABIRAMY A/P SUBRAMANIAM MISKIAH BINTI DZAKARIA
Pensyarah Matematik Ketua Jabatan Matematik
Tarikh: 8/12/2022 Tarikh: 2/1/2023

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C5 :










KERTAS PENERANGAN



(INFORMATION SHEET)

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C5.1 :










NOTA KULIAH



(LECTURE NOTES)

NOTA KULIAH SEM 1


SM 015





TOPIK 1









































TOPIK 2

NOTA KULIAH SEM 1


SM 015




TOPIK 3









































TOPIK 4

NOTA KULIAH SEM 1


SM 015




TOPIK 5










































TOPIK 6

NOTA KULIAH SEM 1


SM 015




TOPIK 7









































TOPIK 8

NOTA KULIAH SEM 1


SM 015





TOPIK 9









































TOPIK 10

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C5.2 :











KERTAS TUTORAN/



/LATIHAN/ KUIZ



(TUTORIALS/



EXERCISES/ QUIZ SHEETS)

TUTORIAL SM 015


2022/2023








01 NUMBER SYSTEM














EQUATIONS, INEQUALITIES &

02 ABSOLUTE VALUES















03 SEQUENCES & SERIES
















MATRICES & SYSTEMS OF LINEAR
04
EQUATIONS













05 FUNCTIONS & GRAPHS

TUTORIAL SM 015


2022/2023







06 POLYNOMIALS















07 TRIGONOMETRIC FUNCTIONS













08 LIMITS & CONTINUITY














09 DIFFERENTIATION
















10 APPLICATION OF DIFFERENTIATION

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C5.2 :











KERTAS TUTORAN/



/LATIHAN/ KUIZ



(TUTORIALS/



EXERCISES/ QUIZ SHEETS)

I LOVE MATHS 2022/2023



TASK 1


3 − 2 10 3 + 2 10
1. Simplify + .
3 + 10 3 − 10





3+ 3
2. Simplify + 3 .
2 + 3






3. Given two complex number z = 1+ i 3 and z = 2 i − , express z + z 2 in the
1
2
1
z 1 z 2
z + z
form of a + bi , where a and b are real numbers. Hence determine 1 2 .
z 1 z 2



−
4. (a) Given the complex number z and its conjugate z satisfy the equation

−
z z+ z 2 = 12 + i 6 . Find the possible values of z.



1 1
(b) An equation in a complex number system is given by = +
z
(z 1 − z 2 ) z − 1

where z = 1+ i 2 and z = 2 i − . Find
2
1

(i) the value of z in the Cartesian form a + bi .


(ii) the modulus and argument of z.



5
5. If z = 4 − i and z = 1− i 2 , find z − z 2 . Express the answer in polar form.
1
1
2









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TASK 2


x
x
1. (a) Solve the equation 3 2 + 1 − 3 x + 3 = 3 − 9.
x
8
(b) Find the value of x if log x 3 − log x 8 = 2 and  .
8
2. Given the equation y = 3x 2 − 19 + 20
x


(a) Find the values of x if =y 0.



(b) Solve the inequality y 14 .


(c) Find the solution set of y − 10 = 10



4 =
3. Solve x 5 − 3 ln x + x 21
e

x
4. Solve the inequality  . 2
x + 4


2 +
5. Solve 5 x  . x




































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TASK 3


1. Express 5.555… in the form of a geometric series. Hence, find the

(a) Sum of the first n terms.

(b) Infinite sum




1 1
2. The third and the sixth terms of a geometric series are and . Determine
2 16

the values of the first term and the common ratio. Hence, find the sum of the

first nine term of the series.




1
3
3. Expand up to the term x and determine the interval of x for which
3 ( − ) x 3

1
the expansion is valid. Hence, approximate correct to four decimal
) 9 . 2 ( 3


places.




n
4. The sum of first n terms of a arithmetic series is (3 −n ) 5 . If the second and
2

fourth terms of arithmetic series are the second and third terms of geometric

series respectively, find the sum of the first eleven terms of this geometric

series.







5. The first term and common difference of an arithmetic progression are a and

− 2 respectively. The sum of the first n term is equal to the sum of first 3n

a
terms. Express a in terms of n. Hence show that =n 7 if = 27.



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I LOVE MATHS 2022/2023



TASK 4


1. Consider the system of linear equations
x − 2 x + x 3 3 − 1 = 0
2
1
x + mx + 2 x = 2
2
1
3
− 2 x + m 2 x − 4 x + 4 = 3 m
3
1
2
where m is a constant.
A
(a) Write the above system of linear equations in augmented matrix,   B .
(b) By using row operation, show that the above augmented matrix can be reduced to

1 − 2 3 1 
 
 0 m + 2 −1 1 
0 0 m 2 m 


Solve the above system of linear equation for m = 1.


1 a  2


2. Given that A = 2 1 2 , where a and b are constants.


2 2  b 

2
Given that A − 4 A = I 5 , where I is a 3 3 identity matrix. Show that a = 2 and

b = 1. Hence, find A − 1 .
1 2  1  2 2 −  3




3. (a) Given the matrices P = 2 1 2 and Q = 2 −1 0 . Find PQ and hence,
   
1 2  2  − 3 0 3 



1 −
determine P .
(b) The following table shows the quantities(kg) and the amount paid (RM) for the three
types of item bought by three housewives in a supermarket.
Housewives Sugar (kg) Flour(kg) Rice(kg) Amount Paid (RM)

Aminah 3 6 3 16.50

Malini 6 3 6 21.30
Swee lan 3 6 6 21.00





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I LOVE MATHS



The price in RM per kilogram(kg) of sugar, flour and rice , x, y and z respectively.

(i) Form a system of linear equation form the above information and write the system
of linear equations in the form of matrix equation AX = B

(ii) Rewrite AX = B above in the form kPX = B, where A = kP , P is the matrix

in (a) and k is a constant. Determine the value of k and hence find the values of x,

y and z.
0 1 1 


4. Matrix A is given by = 5 1 −1
A


2 − 3 −  3 

(a) Find
(i) The determinant of A
(ii) The minor of A and

(iii) The adjoint of A.

(b) Based on part (a) above, find A − 1 . Hence, solve the simultaneous equations.

3
+ zy =
2

x
5 + y − z = 9

3
z
y
x
2 − 3 − 3 =
2
3 x 2x 

5. Matrix A is given as 0 x 4  and A = − 75. Find
 
0 0 x −10 


(a) The value of x

(b) The cofactor and the adjoint matrix of A. Hence, determine the inverse of A.










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TASK 5


1. Solve
(a) 2 − 2 ( 3 x ) + 2 = 0
2x
(b) log x 2 − log x = 3
4
2

2. Find the solution set of the following
(a) ( + ) 5  x 10
2 +
x
x
(b) x  3
x − 1

3. The rth term of an arithmetic progression is (1+6r). Find in terms of n, the sum of the

first n terms of the progression.


1 3
−
4. Expand (1 x in the ascending powers of x until the term containing x . Determine the
)2
1 1
−
interval for which the value x is valid. By substituting x = into (1 x and the
)2
4
expansion, find the value of 3 correct to three decimal places.
1 1  3 − 3 −1 6 


5. Given A = 0 3 3  and B =  − 6 4 3 .




2 1  2   6 −1 −  3 


(a) If AB = kI ,k is a constant and I is a 3×3 identity matrix, determine the value of k.
−
1
hence, deduce A .
(b) A trader makes a profit of RM 100 by selling 10 kg of rambutan, 10 kg of mango
and 30 kg of langsat on the first day. On the second day, he makes a profit of RM

150 by selling 30 kg of mango and 30 kg of langsat. The profit for third day is

RM 90 by selling 20 kg of rambutan, 10 kg of mango and 20 kg of langsat. The
profit of rambutan is RM x, for mango is RM y and for langsat is RM z. by

assuming the profit per kg for each fruit is the same for each day.
(i) Form a system of equation for the profit for three days.

(ii) Obtain a matrix equation.

(iii) Find the values of x, y and z by using information from part (a).


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TASK 6


1. A function f is defined by f (x ) = x + 1 − 2 . Sketch the graph of f. Hence


determine its domain and range.




2 −
2. A function is defined by (x ) = x 2 − x 3 for 0  x  5. State the range
f
of and determine whether is one to one.





g
f
3. Given (x ) = 2x 2 + , 1 x  0 and (x ) = x − 3, find
−
1
)
(a) the inverse of and . Then verify that (g  f ) (x = ( f − 1  g − 1 )(x ) .
1
[
(b) the function ℎ if (g  ) f − 1  h]( x) = .
x
(c) the values of for which ( f  g )(x ) = (g  f )(x ) .





10 − x 2 2
g
)
4. Given that f ( x) = and (x = 5 − 2x . Find the value of k so that
k
. Hence, find (f
 g
f −1 (x 2 ) =  x  1 −  g ) ) 0 ( .
 2 



4 −
f
g
5. Let (x ) = x 1 and (x ) = x + . 2
(a) Find the interval of x for which (x  g (x ).
)
f
(b) if (x = f (x ) + 2g (x ), express (x as a piecewise functions.
h
)
)
h








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I LOVE MATHS 2022/2023



TASK 7


5x 2 + 17 + 17
x
1. Express as sum of partial fractions.
( + 2 x ) 1 2
)( +
x
2. Two factors of polynomial ( ) = xxP 3 + ax 2 + bx − 6 are ( +x ) 1 and ( −x ) 2 .

Determine the values of a and b, and find the third factor of he polynomial.

2
2x − 5x − 13
Hence, express as a sum of partial fractions.
P (x )

x =
Q
3. (a) Find a cubic polynomial ( ) (x + a )(x + b )(x + ) c satisfying the
3
2 =
1 =
−
Q
following conditions: the coefficient of x is 1, ( ) 0 , ( ) 0 ,
Q
and ( ) 3 = − 8.
Q
x
(b) A polynomial ( )= ax 3 − 4x 2 +bx + 18 has a factor ( + ) 2 and a
P
x
remainder (2 + 18 ) when divided by ( + . Find the values of a
x
x
) 1
P
and b. Hence, factorize ( ) x completely.
2
5 x + 3 x + 8
4. Express in partial fractions.
2
)( +
( − x 1 ) x
1
x
5. Polynomial P ( ) = mx 3 − 8x 2 + nx + 6 can be divided exactly by
2 −
x 2 − x 3. Find the values of m and n .Using these values of m and n,
factorize the polynomial completely. Hence, solve the equation

3x 4 − 14x 3 + 11x 2 + 16 − 12 = 0
x
P
using the polynomial ( ) x .














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TASK 8

1. Solve the √ − 2 + √2 + 3 = 8


=
=
y
2. (a) By taking loga x, logb = and logc z , simplify log a − log ab
bc 2 c
+
x
(b) By substituting u = 3 , solve the equation 3 x 1 = 8 − 4 .
3 x
3 − i
3. Given a complex number z = . Express z in the form of a+bi, where a and b are real
2 + i
numbers. Hence, find the polar form of the complex number z.




2
−
4. Obtain the solution set for x + 2  4 x .


5. Find the solution set of the inequality 3  2 .
x − 4 x − 1

6. The sum of the first eight terms is seventeen times the sum of the first four terms in the
geometric series. Find the common ratio.



x
g
x
h
f
7. Given ( ) x = x , ( ) = x − 1 and ( ) x = e . Find f  g  h ( ) x and f (  g  h) − 1 ( ) x .
1
3
8. Expand (1+ 2x )5 in ascending power of x up to the term in x . State the range of x for
1
2
which expansion is valid. Hence, evaluate ( )5 correct to four significant figures.
1.
9. Given f(x)=ln(3x-1)
(a) Show f(x) is one-to-one function

(b) Find f − 1

(c) Determine domain and range for f(x) and f − 1 ( )
x

(d) Sketch the graph f(x) and f − 1 ( ) x on the same axes.

1

I LOVE MATHS





1  1 1 

10. Given the matrix S =   1 − 1 − 1

 1  2 − 1 
(a) Find the inverse matrix of S by using the Elementary Row Operations (ERO)
method.

(b) Hence, solve the following system of linear equations
+
+
x y z = 3
x y z− − = 4 .
x + 2y z = 7
−













































2

I LOVE MATHS 2022/2023



TASK 9


1. Given

x cot + ec t and y = tan + t
=
t cos
t sec
1 1
Show that x + = 2 cos ec t and y + = 2 sec t .
x y



 x 
2. If tan   = t , find sin and cos in terms of t . Hence, solve
x
x
 2 
cos + 7 sin = 5, for  x   .
x
x
0
x
3. If tan = t , express sin x and cos x in terms of t
2

Hence, find all values of t which satisfy cos − 4 sin = 5.
x
3
x




2 +

2 −

4. (a) Show that sin  3 cos  3 sin − 3 = sin ( cos − 6 sin − ) 3
8
4
(b) Express cos − 6 sin  in the form cos ( + )  , where R is positive

R
8
and  is an acute angle in radian
2 =
2 +

(c) By using the facts in (a) and (b) , solve sin  3 sin − 3 cos  3 for
4
0     . Give your answer in radian correct to three significant
figures.


6 =
x
4
5. Show that cos x cos 2x ( cos 2 2 − ) 3 .











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TASK 10


x
1. Given f(x) = 2(3 ) – 1.
-1
(a) Find f (x).
-1
(b) Determine the domains and ranges of f(x) and f (x).
-1
(c) Sketch the graph of f and f on the same axes.


2
3
x =
2. When a polynomials P ) x − ( a + ) 3 x − ax + b is divided by ( − , its remainder is
(
x
) 1
x
P
)
) 1
r and when P (x )is divided by ( + , its remainder is r . If -2 is a zero of (x and
2
1
P
)
r 2 = r 1 + 2, find the values of a and b . Hence, find the other zeroes of (x .
2
3
x
3. Given( + ) 3 is one factor of P (x ) = 9 − 12x − 11x − 2x . Factorize completely (x ,
)
P
and express 13x + 18 as a sum of partial fraction.
P (x )
x sin
4. (a) Express 3 cos 2 − 2 x in the form of, R cos( 2x + ) a where R  0and
0  a  2 .

x sin
(b) Hence, find the values of x on the interval  2 , 0   which 2 − 3 cos 2 + 2 xis
minimum. Then find the minimum and maximum values.


2
5. By using the substitution t = tan x , prove that 5 cos 2x − 12 sin 2x = − 5t − 24t + 5 for
+
1 t 2
− 90  x  90  .Thus, solve the equation cos x 12 sin x − 5.

2 −
2 =
5

















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TASK 11


3
2
1. The polynomial x − 3 px + px + q is divisible by ( − ) 4 . When this polynomial is
2
x
divided by +x 2, it leaves a remainder of -54.
(a) Find the values of p and q .
(b) Hence, factorize the polynomial completely.




2x + 7x + 11x + 6 A B
3
2
2. Given that = h ( ) x + + . By using long division, determine
2x + 7x + 6 2x + 3 x + 2
2
the function ( ) x and find the values of A and B.
h

3 0
3. (a) Solve 2sin x − 2 3cos x − 3 tan x + = where 0  x  2
=
o
(b) Show that cot x − 5cosecx = 2 can be written as cos(x + 63.4 ) 1. Hence,
solve cot x − 5cosecx = 2 for 0  o x  360 . Give your answer correct to one
o
decimal places.





4. Find the following limits

x − 3
(a) lim
2
x→ 3 x − 3x
1
 x − 2x  2 2
3
lim  
(b) x→ 2  x − 2 

2
9x − 1
5. (a) Determine the horizontal asymptotes for the following functions, f x =
( )
−
1 x
 x + 5 x
2
 , x  0

(b) Given that ( ) x =  2x
g
 5 , x = 0
 2

i) Determine whether ( )g x is continuous at x = 0
ii) Determine whether ( )g x is continuous from the right or left at x = 0


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I LOVE MATHS 2022/2023



TASK 12


x 2 − x − 2 2 ( x − 5 )( x − ) 1
1. (a) lim (b) lim
3 −
x → 2 x − 2 x → 1 2x 2 + x 5

2. Find each of the following limit, if they exist.


 e 3x −1  x 2 − 2
(a) lim   (b) lim


x
x →0  e x −1  x → + 3 + 6
3. Let


 2 x , x  0
f (x ) = 
 x 2 + , 1 x  0


(a) Find lim f (x )
x→ 0



(b) Is the function f continuous at x=0? Give your reasons.

2
5 + , < 2
4. Given ( ) = { , = 2
3
− 1, > 2
Find the value of such that lim f (x ) exist. Hence find the value of such that is
x→ 2
continuous at = 2.
x



5. The function f is defined as

x 2 + x − 12  3
x
x − 3
x
f (x ) = A = 3
2 − B 3  x  4
x
x
C  4
(a) find lim f (x ) and lim f (x )
x→ 3 − x→ 3 +

(b) Use the definition of continuity to determine the values of A and B if
f is continuous at =x 3.

(c) For what values of C is f discontinuous at =x 4?

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TASK 13

2
2
1. A curve equation is given x + y + ay = , b where a and b are constant.
dy
(a) Find
dx

1
(b) Find the values a and b, if the gradient at the point (1,3) is − .
2

d 2 y
(c) Express in terms of y.
dx 2

t
2. Given x = and y = 1+ . t
1 − t

dy dy
(a) Find in terms of t. Hence, determine the value(s) of t such as = 1.
dx dx

d 2 y
(b) Evaluate the for value(s) of t in part (a) above.
dx 2


dy
3. Given y = x ln x . By using logarithms, find . Hence, prove that
dx
x 2 y ' ' −x 2 ( ln − ) 1 y '− 2 = . 0
y
x
x
 kx 2 ,  2
4. Find a value of k so that function f (x ) =  is continuous. Hence, by using
x
x
 2 + k ,  2
f ( x − f ( a)
)
)
the definition of f (' a = lim , determine whether 'f ) 2 ( exist or not.
x→ a x − a
2t 3t 2 + 1
y
5. Parametric equations of a curve is given by x = and = . Find
t 2 + 1 t 2 + 1
dy d 2 y
(a) in terms of t. (b) when t = 1.
dx dx 2














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TASK 14


1. Milk is being poured into a hemispherical bowl of radius 4 cm at the rate of

3 cm 3 / sec. If the depth of the milk in the bowl is h cm, its volume V is


 h 
3
2
V =   4h −   cm 3 .

 3 
3
At the instant the milk is cm deep , find
2

(a) the rate of change of h.


(b) the rate of change of the radius of the milk’s surface.




2. The total cost of manufacturing k boxes of chocolates ( a function of time, t) is given by
2
t)
C (k ) = 2k 2 + k + 900 where k( = t + 100 t . Compute the rate of change of the total
cost with respect to time when = 1.
t




9 +
f
3. Given that (x ) = x 3 − 3x 2 − x 11.
(a) If f intersect the x-axis at = 1, x = p and x = q , find p and q.
x

(b) Use the second derivatives test to find the coordinates of the local extremum.


























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I LOVE MATHS



4. A conical tank of the height 8m and surface radius 30m shown in the diagram below. Oil


3
is pumped into the tank at the constant rate of 45 / If the depth of the oil, h is 3m,
.
find the rate of change of oil depth. Give your answer correct to 3 decimal places.


30





8








5. A closed right circular cylindrical of radius r and height h is to be constructed with


3 2
volume 4000 cm . The cost for the construction is RM 1.00 per cm for the curve

2
surface while RM2.00 percm for the top and bottom surfaces. State h in terms of r and

hence, find the radius of the cylinder so that the cost of construction is minimum.






























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C5.3 :












KERTAS AMALI /



BUKU PANDUAN AMALI



(EXPERIMENT SHEETS)

TIDAK





BERKAITAN

;


























C5.4 :











KERTAS TUGASAN /PROJEK



(ASSIGNMENT/



PROJECT SHEETS)

TIDAK







BERKAITAN

C6 :












REKOD KEHADIRAN



PELAJAR



(STUDENTS



ATTENDANCE RECORD)

KEHADIRAN KULIAH SEM 1


SM 015





























KULIAH M1








KEHADIRAN TUTORIAL SEM 1


SM 015











M1T1 B1T1(B)

























M1T2 B1T2(B)

;




























BAHAGIAN D












PENTAKSIRAN




(ASSESSMENT)

BAHAGIAN






D1:













HURAIAN




PENTAKSIRAN



ILED A
(DETA



ASSESSMENT)

BAHAGIAN







D1.1:













FORMAT




INSTRUMEN



PENTAKSIRAN




(ASSESSMENT




INSTRUM ENT




FORM A T)



JADUAL PENENTU UJIAN PENILAIAN SUMATIF (JPUPS)
PROGRAM MATRIKULASI KPM

Kursus: MATHEMATICS 1 Kod Kursus: SM015


Taxanomy
Marks Estimated
Topic CLO SLT % Level UPS 1 UPS 2 UPS 3
Allocated Time (Min)
C1 C2
1 Number System 1 4 8% 6 ∕ ∕ ∕

Equations, Inequalities and Absolute
2 1 8 16% 9 20 ∕ ∕ ∕
Values
3 Sequences and Series 1 4 8% 6 ∕ ∕ ∕

4 Matrices and Systems of Linear Equations 1 10 20% 12 ∕ ∕ ∕
20
5 Functions and Graphs 1 8 16% 9 ∕ ∕ ∕

6 Polynomials 1 8 16% 9 ∕ ∕ ∕
20
7 Trigonometric Functions 1 8 16% 9 ∕ ∕ ∕

TOTAL 50 100% 60 60 20%


Cognitive level: C1 = Knowledge, C2 = Understanding
Question format: Multiple choice/Multiple combination

Multiple Choice: Multiple Combination:
Stem … Stem
A I
B II
C III
D
A I and II
B I and III
C II and III
D I, II and III




Berkuat kuasa mulai Sesi 2022/2023

BAHAGIAN







D1.2:












PEMETAAN




PENTAKSIRAN



KEPADA CLO









BORANG JST 1

JADUAL SPESIFIKASI TUGASAN (JST)
PENILAIAN BERTERUSAN PROGRAM MATRIKULASI

Kursus: MATHEMATICS 1 Kod Kursus: SM015


INDIVIDUAL ASSIGNMENT (15%)

Marks No. of CL
TOPICS CLO SLT
Allocated Questions Easy Moderate Hard
3 SEQUENCES AND SERIES 2 5 20 2 /

4 MATRICES AND SYSTEMS OF LINEAR EQUATIONS 2 6 25 2 /

*NUMERACY SKILLS 5% 3 1 5
TOTAL 12 50 4



GROUP ASSIGNMENTS (20%)


Marks No. of CL
TOPIC CLO SLT
Allocated Questions Easy Moderate Hard
6 POLYNOMIALS 3 3 15 2 / (1) / (1)

7 TRIGONOMETRIC FUNCTIONS 3 7 35 2 / (1) / (1)
TOTAL 2 10 50 4

Berkuat kuasa mulai Sesi 2022/2023











BAHAGIAN







D1.2:












PEMETAAN




PENTAKSIRAN



KEPADA CLO









BORANG JST 2