ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Science Education)
[
WARNING
1. PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING THE
ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM THE AWARD OF
DEGREE/CERTIFICATE IF FOUND AT ANY STAGE.
2. SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM OTHER(S)
AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN THE “AIOU
PLAGIARISM POLICY”.
Course: Mathematics II (6447) Semester: Spring, 2025
Level: B.Ed. (4 & 2.5 years)
Please read the following instructions for writing your assignments. (AD, BS, B.
Ed, MA/MSc, MEd) (ODL Mode).
1. All questions are compulsory and carry equal marks but within a question the
marks are distributed according to its requirements.
2. Read the question carefully and then answer it according to the requirements of the
questions.
3. Avoid irrelevant discussion/information and reproducing from books, study guide
or allied material.
4. Handwritten scanned assignments are not acceptable.
5. Upload your typed (in Word or PDF format) assignments on or before the due date.
6. Your own analysis and synthesis will be appreciated.
7. Late assignments can’t be uploaded at LMS.
8. The students who attempt their assignments in Urdu/Arabic may upload a scanned
copy of their handwritten assignments (in PDF format) on University LMS. The
size of the file should not exceed 5MB.
Total Marks: 100 Pass Marks: 40
ASSIGNMENT No. 1
(Unit 1-4)
Q.1
Explain the Absolute Value Function; elaborate your answer with examples.
(20)
1
Q.2 Explain the concept of continuity of a function. Also, describe the method to
determine whether a function is continuous, using a suitable example. (20)
Q.3 (20)
Q.4 Prove the derivatives of the following trigonometric functions with the
help of the definition method.
(20)
Q.5 Explain the method to find higher-order derivatives of the function. (20)
Total Marks: 100 Pass Marks: 40
ASSIGNMENT No. 2
(Unit 5-9)
Q.1 Evaluate the Taylor Series for f (x) = x3 − 10x2 + 6 at x = 3. (20)
Q.2 Explain the concept of integration by parts by giving examples. (20)
Q.3 Integrate with respect to x. (20)
Q.4 Discuss Riemann sums that underlie the theory of definite integrals. (20)
Q.5
(20)