MASC 20001 2 Modern College Integral Advanced Mathematics Questions Advanced Mathematics see file SOLVE WITH STEPS ………………………………….

MASC 20001 2 Modern College Integral Advanced Mathematics Questions Advanced Mathematics see file SOLVE WITH STEPS ……………………………………… Advanced Mathematics (MASC 20001.2) – Spring – 2020– CW2 (Assignment) – All – QP
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IN SEMESTER INDIVIDUAL ASSIGNMENT
Module Code: MASC 20001.2
Module Name: Advanced Mathematics
Level: 2
Max. Marks: 100
Instructions to Student:

Answer all questions.

Deadline of submission: 9/07/2020

The marks received on the assignment will be scaled down to the actual weightage of
(23:59)
the assignment which is 50 marks

Formative feedback on the complete assignment draft will be provided if the draft is
submitted at least 10 days before the final submission date.

Feedback after final evaluation will be provided by 23/07/2020

In Qno.3,4b,6 and 7 follow the note given below the question
Module Learning Outcomes:
The following LOs are achieved by the student by completing the assignment successfully
1) Find and apply Laplace Transforms and their inverse to solve differential and integral
equations
2) Find the Fourier sine and Fourier cosine transforms of functions and its inverse.
3) Determine discrete Fourier Transform and inverse discrete Fourier transform of a function
Assignment Objective:
To test the Knowledge and understanding of the student for the above mentioned LO
MEC_AMO_TEM_034_01
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Advanced Mathematics (MASC 20001.2) – Spring – 2020– CW2 (Assignment) – All – QP
Assignment Tasks:
1. Find the Laplace transform of the following function:
( ) =
1− −

+ 2 cos⁡(2t) − 3 3 ( )
2. Find the inverse Laplace transform of the following function:
(15 marks)
(15 marks)
2 −9 −7
( ) = ⁡ ( −1)( 2
+2 +2)
3. Solve the Initial value problem by using Laplace transforms:
′′ + 3 ′ + 2 = 6 − ⁡, (0) = , ⁡ ′ (0) =
(15 marks)
(Note: Replace , be any two different digits of your MEC ID number and ⁡, > 0)
4. a. Let ( ) = 2 − − and ( ) = find ( ∗ )( )
(8 marks)
b. Find the Laplace transform of { ( − ). sin 4( − )}, where is the Heaviside’s
unit function.
(5 marks)
(Note: Replace with the last digit of your MEC ID number, if your ID number ends with 0 take
other number. For example if your Id number is 18F13452, take d as 2 if last digit is 0 d can be
any other number.)
4 ,
0