## Pre-requisite / Skillset for Numerical Methods Internship

1. Intern should have knowledge on the basic concepts and techniques of solving algebraic and transcendental equations.

2. Should be able to use the numerical techniques of interpolation and error approximations in various intervals in real life situations.

3. Must know how to apply the numerical techniques of differentiation and integration for engineering problems.

4. Intern should know how to solve first and second order ordinary differential equations arising in engineering problems using single step and multistep numerical methods.

5. Should be able to solve the partial and ordinary differential equations with initial and boundary conditions by using certain techniques with engineering applications.

6. Must have an insight into Fourier series, Fourier transforms, Laplace transforms, Difference equations and Z-transforms.

7. Intern must have proficiency in variational calculus and solving ODE’s arising in engineering applications, using numerical methods.

8. Should have a clear perception of the power of numerical techniques, ideas and would be able to demonstrate the applications of these techniques to problems drawn from industry, management and other engineering fields.

9. Should know how to use Laplace transform and inverse Laplace transform in solving differential/integral equation arising in network analysis, control systems and other fields of engineering.

10. Should know how to demonstrate Fourier series to study the behaviour of periodic functions and their applications in system communications, digital signal processing and field theory.

11. Intern must be aware of how to make use of Fourier transform and Z-transform to illustrate discrete/continuous function arising in wave and heat propagation, signals and systems.

12. Should be capable of determining the externals of functionals using calculus of variations and solve problems arising in dynamics of rigid bodies and vibrational analysis.

## Numerical Methods Internship Test

Intern has to take Numerical Methods internship test in which they will be asked 50 multiple-choice questions. They have to score grade A or A* on this test to be eligible for the internship. Here’s a sample set of questions on the Numerical Methods topic.

1. The Bisection method is also known as ___________________

(A) Binary Chopping

(B) Quaternary Chopping

(C) Tri region Chopping

(D) Hex region Chopping

View Answer

Explanation: Bisection Method is also called as Binary Chopping. It is a method involving the division of the interval into half.

2. If a function is real and continuous in the region from a to b and f((A) and f((B) have opposite signs then there is no real root between a and b.

(A) True

(B) False

View Answer

Explanation: If a function is real and continuous in the region from a to b and f((A) and f((B) and if both have different signs then there is at least one real root between a and b. This is because the function has to cross the x-axis at least once.

3. If a function is defined at 2 points 3 and 7 as f(3)=8 and f(7)=12, it is sufficient to find the roots through Bisection Method.

(A) True

(B) False

View Answer

Explanation: If a function is real and continuous in the region from a to b and f((A) and f((B) and if both have different signs then there is at least one real root between a and b. This is because the function has to cross the x-axis at least once. The given values are both positive so it is insufficient to find out the roots through Bisection method.

4. What is the region of convergence of Secant Method?

(A) 1.5

(B) 1.26

(C) 1.62

(D) 1.66

View Answer

Explanation: The region of convergence of Secant Method is 1.62. It converges faster than Bisection method.

5. Rate of convergence of the Newton-Raphson method is generally __________

(A) Linear

(B) Quadratic

(C) Super-linear

(D) Cubic

View Answer

Explanation: Rate of convergence of the Newton-Raphson method is generally Linear. It states that the value of root through the Newton Raphson method converges slowly.

Practice the full set of Numerical Methods Multiple Choice Questions before applying for the internship.

## How to apply for the Numerical Methods Internship

1. Read the Sanfoundry Internship FAQs

2. Take the Numerical Methods Internship Test

3. Submit the Internship Application Form

## 3. Numerical Methods Content Development Internships

In this content writing / content development internship for Numerical Methods, the shortlisted interns would be working towards the creation of "Multiple Choice Questions & Answers (MCQs)" OR "Tutorial Articles" OR "Questions & Answers" on Numerical Methods subject.Selected intern's day-to-day responsibilities and guidelines include the following.

1. Interns would be creating Questions and/or tutorials articles on "Numerical Methods".

2. Numerical Methods articles must be written with an organized structure with detailed steps and examples.

3. Interns should write clear and concise articles so that the readers can understand them easily.

4. Interns should follow Sanfoundry defined guidelines and format.

5. Interns should report the work status to their mentor on daily basis.

6. Interns should ensure that the content is plagiarism-free.

## 4. Numerical Methods Realtime Projects

Depending on the requirements and availability of free slots, Sanfoundry will attempt to provide industry-oriented, live, real-time projects, or industrial visits for deserving candidates of Sanfoundry accredited college. Kindly ask your College authorities (HOD / Principal) to connect with us.## 5. Numerical Methods Research Projects

If applicable, Sanfoundry will attempt to provide guidance to interns on "research projects" and "academic projects" so that they can do the necessary study, experimentation, and simulation to arrive at meaningful conclusions. This will help them write "White Papers", "Research Papers" and "Journal Articles" to be published in various eminent journals. Kindly ask your college authorities (HOD / Principal) to connect with us.## 6. Numerical Methods Internship Benefits and Perks

1. Sanfoundry will issue an internship certificate and a lump sum cash reward as a token of appreciation towards the intern’s contribution to Sanfoundry’s Global Learning Project.2. This internship with help widen the intern's deep knowledge on the "Numerical Methods" subject.

3. It will help to boost the intern's resume and also give real-time work experience.

4. Sanfoundry certificate is very useful to an individual in their professional career growth.

5. Most of the shortlisted interns will be working directly under the guidance of our Founder & CTO, Manish Sir

## 7. How to Apply for Numerical Methods Internship

If you are looking for "Numerical Methods" internship at Sanfoundry, you have to fill an application form. The application form is quite detailed and it allows us to understand the qualities of an intern in a deeper way. So, the best way to fill the application is to allocate 2-4 hours towards reading and filling your application form. You must fill every question seriously and honestly. Also, pay special attention to Grammar and sentence framing.If you are interested to do an internship in Numerical Methods, then kindly fill this Application Form.

## 8. FAQs - Numerical Methods Internship

**Who can apply for Numerical Methods content writing internship?**

Students who had studied Numerical Methods in their official curriculum or taken a meaningful in-depth external training on this subject can apply for this internship.

**What type of work will be assigned to intern in this internship?**

Interns would be working towards the creation of "Tutorial Articles" and/or "Questions and Answers" on Numerical Methods.

**What are the skill sets required for Numerical Methods internship?**

We have already mentioned above the technical pre-requisite and skillset required for this internship. Besides, the student should be able to work independently, sincere and hard-working, and a self-starter.

**Can I apply for Numerical Methods internship if I don't have any experience?**

Yes. Sanfoundry values skills developed through academic work, volunteer experiences, extracurricular experiences, or other experiences which demonstrate the technical skills useful in work. So, people with no experience can also apply for Numerical Methods Internship.

**Does Sanfoundry provide Real-time project on Numerical Methods?**

Yes, but we accept a limited number of candidates from Sanfoundry accredited colleges for real-time projects. Where ever applicable we will attempt to provide industry-oriented projects or industrial visits to deserving candidates. Kindly ask your College authorities (HOD / Principal) to connect with us.

**Does Sanfoundry provide research projects or academic projects on Numerical Methods?**

Yes, Sanfoundry provides ideas on research projects and/or academic projects on some of the topics in Numerical Methods. Kindly ask your College authorities (HOD / Principal) to connect with us.

**How can I apply for Numerical Methods internship?**

Fill this Application Form to apply for internships in Numerical Methods at Sanfoundry.

## 9. FAQs - Internship General

**Can I get academic credit for my internship?**

Yes, if you are doing an internship at Sanfoundry, it may be possible to get academic credit for your internship. Since the College authorities issue these credits, kindly check with your department once.

**What is the duration of Content Development Internship?**

The duration ranges from 1-month to 3-months. The duration can be adjusted based on the academic schedule of your college or school.

**How many hours do I have to work as a part-time intern?**

If you are working as a part-time intern in Sanfoundry, you would be allocating 3-4 hours/day.

**How many hours do I have to work as a full-time intern?**

If you are working as a full-time intern in Sanfoundry, you should be allocating 8 hours/day.

**What would be the work timings if I get selected?**

Work timings depend on you're availability during the day or evening and the type of internship. But you need to report work status on daily basis.

**What are the benefits of completing Sanfoundry Internship?**

- You will receive an internship certificate and a lumpsum cash reward
- You will gain working experience

**Will I receive an offer letter if I am selected for the internship?**

Yes, you will receive a confirmation email (with an agreement) from us once you are selected.

**How will I know if am selected for the internship?**

If you are selected for the internship, you will receive a call/message from us. It generally takes anywhere from 2-days to 2-weeks from the date of your application. However, due to a very large number of internship requests, sometimes the response gets delayed further.

**What kind of documents should I submit after accepting the offer?**

No documents are required to be submitted.

**How will I receive the stipend for "Work-From-Home" internship?**

Upon completion of the internship, the stipend will be directly credited into your bank account through NEFT/IMPS.

**Do we get paid on a monthly basis?**

No, Payment is made only when the internship task is completed.

**How long it takes to receive the internship certificate and cash reward, after completion of the internship?**

The internship closure process usually takes 7-15 working days.

**Can I get a recommendation letter after successful completion of the internship?**

Upon successful completion of the internship, you will receive an Internship Certificate. This certificate is written in a letter format which is almost similar to a "Letter of Recommendation".

**Can international student apply for an internship in Sanfoundry?**

We don't have the required operational setup to work with international students. So, we cannot offer internships to international students at this point in time.

**Can I take part in multiple internship programs offered by Sanfoundry at the same time?**

No, you can work on only one internship at a time. But after completing the internship you can work on another internship. In fact, a lot of interns keep doing multiple internships with us, one at a time.

**Can I discontinue the current internship and join the new internship offered by Sanfoundry?**

Yes, you can apply for other internships.

**What happens if I discontinue in the middle of my internship?**

If the work is partially completed, then Sanfoundry will do the payment on a proportionate basis provided that the intern has completed at least 10% of the work.

**Will I receive a certificate and reward if I didn't complete the internship?**

Sanfoundry will give a certificate and a proportionate reward if the intern has completed at least 10% of the work.

**Whom to contact if I have more query?**

Kindly drop an email to [email protected]