MAT 101 - Calculus I - Assignment 2

Please start on the Exercises from Sections 1.6 to 2.4 right away. Your first midterm on Sep 14 will be up to Sec 2.4.

Assignment 2

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Part A

The following exercises from Stewart's Essential Calculus are to be solved for presentation and discussion in the tutorials:

• [Section 1.6] 1, 3, 13, 26, 41, 47
• [Section 2.1] 3, 7, 10, 16, 26, 31, 47
• [Section 2.2] 1, 3, 6, 9, 21, 33, 43
• [Section 2.3] 10, 18, 21, 22, 33, 57, 63
• [Section 2.4] 6 to 10, 25, 27, 43, 48, 54
• [Section 2.5] 4, 23, 47, 55, 65, 66
• [Section 2.6] 8, 16, 19, 32
• [Section 2.7] 2, 9, 13, 24
• [Section 2.8] 7, 21
• [Section 3.1] 13, 23, 24
• [Section 3.2] 22, 32, 35, 66
• [Section 3.3] 7, 29, 39, 58
• [Section 3.4] 9, 20

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Part B

Submit written solutions to the following to your tutor by September 23:

• [Section 1.6] 19, 23, 49
• [Section 2.1] 28, 48
• [Section 2.2] 4, 23, 39
• [Section 2.3] 23, 40, 67
• [Section 2.4] 16, 30, 51
• [Section 2.5] 49, 57, 69
• [Section 2.6] 11, 17, 44
• [Section 2.7] 11, 28, 38
• [Section 2.8] 13, 24
• [Section 3.1] 25, 31
• [Section 3.2] 23, 38, 78
• [Section 3.3] 23, 62, 68
• [Section 3.4] 17

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Extra Credit

Submit the following to Prof Habib by September 16: Consider the cubic function \(f(x)=x^3+ax^2+bx+c\). Calculate \(\lim\limits_{x\to\pm\infty}\frac{f(x)}{x^3}\)and use this to show that there is a real number \(c\) such that \(f(c)=0\).

Edit on Sep 16: Last date of submission of Extra Credit problem is changed to Friday, Sep  20. Submission must be to Prof Habib. Also note that there are two uses of \(c\) in the problem which is an oversight. Change the second \(c\) to \(d\).

MAT101 Calculus I - Assignment 1

Department of Mathematics, Shiv Nadar University
Monsoon Semester 2013-14
MAT 101 Calculus I

Assignment 1

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Part A

The following exercises from Stewart's Essential Calculus are to be solved for presentation & discussion in the tutorials:

• [Section 1.1] 1, 3, 4, 17, 23, 25, 28, 35, 43, 51, 57, 59, 61
• [Section 1.2] 2, 4, 5, 8, 13, 17, 23, 26, 35, 52, 53
• [Section 1.3] 3, 7, 11, 23, 29
• [Section 1.4] 10, 13, 21, 22, 30, 43, 46
• [Section 1.5] 3, 10, 13, 15, 26, 35, 37

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Part B

Submit written solutions of the following to your Tutor by September 2:

• [Section 1.1] 5, 6, 18, 44, 62
• [Section 1.2] 18, 49, 58, 62
• [Section 1.3] 9, 27, 43
• [Section 1.4] 7, 23, 31
• [Section 1.5] 16, 31, 40

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Extra Credit

• [Section 1.5] 47

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IAYM Selections

The "Inviting All Young Minds" summer internship programme is being organized at SNU from June 10 to 29. The following SNU students have been selected for it:

Laavanya Gupta	BS Mathematics
Manika	BTech CSE
Akshay Prasad	BTech ECE
Nipun Abbi	BTech ME
Dikshant Chitkara	BTech ECE
Shivangana Gupta	BTech EEE
Nidhi Dubey	BTech EEE
Balakumaran S E	BTech ME
Ankita Srivastav	BTech CSE
Rahul Madan	BTech CSE
Aditya Goel	BTech ME
Shubhankar Mathur	BTech CSE
Akanksha Tiwari	BTech EEE
Shubham Jain	BTech EEE

In addition there may be 2 or 3 seats available for students from outside SNU. The eligibility criterion is that you should have completed Class XII and should have taken Mathematics in +2. You can apply by filling in the online application form before 5pm on Tuesday, June 4.

The IAYM 2013 program features student projects applying mathematics and computation skills to problems in financial modeling and cryptography. Selected students get a Rs 5000 stipend and accommodation and food in the SNU hostels.

Admissions to Minor in Mathematics

The following students have been admitted to the Minor in Mathematics. Welcome to the department! We'll shortly sit down with you and work out your program for the next academic year.

	Name	Major
1	Veeramachaneni Bharath	Civil
2	Akshit Singhal	CSE
3	Ansh Gandhi	CSE
4	Anurag Joshi	CSE
5	Jyoti Joshi	CSE
6	Manika	CSE
7	Sacchit Sreenivasan	CSE
8	Varun Mishra	CSE
9	Akshay Prasad	ECE
10	Gokul Devunuri	ECE
11	Pranav Sridhar	ECE
12	Sahana V	ECE
13	Shikha Elizabeth Joseph	ECE
14	Siva Suganya B	EE
15	Akhilesh Vij	Mech
16	G Sai Charan	Mech
17	Shahrukh Athar	Physics
18	Akshat Saxena	Economics
19	Aneesha Parvathaneni	Economics
20	Kaustubh Sanjay Kambekar	Economics

Minor in Mathematics Form

Applications for the Maths Minor are closed. Results will be out shortly!

Minor in Mathematics Announcement

Undergraduate students of Shiv Nadar University who are not majoring in Mathematics have the option to take a Minor in Mathematics. A Minor in Mathematics can serve two distinct functions (apart from enjoying the beauty of the subject!):

• Acquiring the academic background for higher studies in Mathematics.
• Acquiring modelling and computational skills for applications of Mathematics in other disciplines or in industry.

Academic Requirements:

You have to acquire a minimum of 27 credits from the University Wide Elective (UWE) courses offered by the Department of Mathematics. These credits must satisfy the following minimum requirements:

1. Three courses from Group A for a total of 12 credits: MAT 101 (Calculus I), MAT 240 (Algebra I), MAT 260 (Linear Algebra), MAT 280 (Numerical Analysis I), MAT 284 (Probability & Statistics).
2. One course from Group B (3 credits): MAT 199, 299, 399, 499 (Projects).
3. Remainder from any other UWE courses offered by the Department of Mathematics.
4. The above is subject to the further requirement that a course should not count towards both Major and Minor requirements.
5. The credit requirement may be lowered to 23 credits for majors which already have a significant component of compulsory Mathematics courses.

The Undergraduate Advisor for Mathematics will help you work out an appropriate choice of courses depending on your interests and background.

How to Apply:

1. For the 2013 session, there are 20 seats available for a Minor in Mathematics.
2. You are eligible to apply for the Minor if you have already earned or are currently enrolled in at least 3 credits from courses offered by the Department of Mathematics, and if your GPA from these courses is at least 6.
3. Eligible applicants will be interviewed, and admission to the Minor will be determined by the results of that interview. The probable interview dates are April 29 and 30.
4. You can apply by filling out the online form before 5pm on April 26. (Click to go to the online form.)
5. For further details please contact the UG Advisor for Mathematics, Amber Habib. You can meet him during his office hours or send an email to amber.habib@snu.edu.in to make an enquiry or seek an appointment.
6. Please note that you must take admission for the Minor as described here. It is not enough to merely take adequate credits on your own. 

Other Information:

1. Once admitted to the Minor in Mathematics, you will select courses for the Minor in consultation with the UG Advisor for Mathematics.
2. You must sign up for the Minor before the end of your 6th semester. However, it is advisable to do so earlier so that there is sufficient time to plan your courses. The best time is during your 3rd or 4th semesters.
3. If you fail to complete the Minor during your first 4 years, you may have to spend an extra semester to complete it. If you do so, any scholarship or fee waiver you were granted for your regular course of study will lapse and you will have to pay the full fees for the extra period.
4. You may of course enroll for UWE courses offered by the Department without being admitted to the Minor. However, students enrolled for the Minor will have priority while registering for these courses. The Department will also do its best to schedule courses so that Minor students will be able to complete their requirements.

What Maths Can Do - SIAM Reports

The Society for Industrial & Applied Mathematics (SIAM) is the preeminent body promoting applied mathematics. It "exists to ensure the strongest interactions between mathematics and other scientific and technological communities..."

SIAM has recently produced two reports for students and applied mathematicians:

Careers in Applied Mathematics - describes career possibilities outside academia for majors in mathematics or computing.

Mathematics in Industry - looks at how mathematics is used in industry today. It also analyzes the skills and abilities required by graduates for fruitful careers.