BMATS201 Mathematics for CSE Stream

BMATS201 Mathematics for CSE Stream

Syllabus Copy

Module - 1

Integral Calculus

Introduction to Integral Calculus in Computer Science &Engineering.
Multiple Integrals: Evaluation of double and triple integrals, evaluation of double integrals by change of order of integration, changing into polar coordinates. Applications to find Area and
Volume by double integral.Problems.Beta and Gamma functions: Definitions, properties, relation between Beta and Gamma functions.Problems.

Self-Study: Center of gravity, Duplication formula.

Applications: Antenna and wave propagation, Calculation of optimum value in various geometries.Analysis of probabilistic models.

Module - 2

Vector Calculus

Introduction to Vector Calculus in Computer Science & Engineering. Scalar and vector fields. Gradient, directional derivative, curl and divergence – physical interpretation, solenoidal and irrotational vector fields. Problems.

Curvilinear coordinates:Scale factors, base vectors, Cylindrical polar coordinates, Spherical polar coordinates, transformation between cartesian and curvilinear systems, orthogonality. Problems.

Self-Study: Vector integration and Vector line integral. 

Applications: Conservation of laws, Electrostatics, Analysis of streamlines

Module - 3

Vector Space and Linear Transformations

Importance of Vector Space and Linear Transformations in the field of Computer Science & Engineering.

Vector spaces: Definition and examples, subspace, linear span, Linearly independent and dependent sets, Basis and dimension. Problems.

Linear transformations: Definition and examples, Algebra of transformations, Matrix of a linear transformation. Change of coordinates, Rank and nullity of a linear operator, rank-nullity theorem. Inner product spaces and orthogonality. Problems.

Self-study: Angles and Projections.Rotation, Reflection, Contraction and Expansion.

  Applications: Image processing, AI & ML, Graphs and networks, Computer graphics.

Module - 4

Numerical Methods -1

Importance of numerical methods for discrete data in the field of computer science & engineering. Solution of algebraic and transcendental equations – Regula-Falsi and Newton-Raphson methods (only formulae). Problems. Finite differences, Interpolation using Newton’s forward and backward difference formulae, Newton’s divided difference formula and Lagrange’s interpolation formula (All formulae without proof). Problems.

Numerical integration: Trapezoidal, Simpson’s (1/3)rd and (3/8)th rules(without proof). Problems.

Self-Study: Bisection method, Lagrange’s inverse Interpolation.

Applications: Estimating the approximate roots, extremum values, Area, volume, and surface area. Errors in finite precision

Module - 5

Numerical Methods – 2

Introduction to various numerical techniques for handling Computer Science & Engineering applications. Numerical Solution of Ordinary Differential Equations (ODE’s): Numerical solution of ordinary differential equations of first order and first degree – Taylor’s series method, Modified Euler’s method, Runge-Kutta method of fourth order and Milne’s predictor-corrector formula (No derivations of formulae). Problems.

Self-Study: Adam-Bashforth method. 

Applications: Estimating the approximate solutions of ODE.

Model Papers

Previous Papers

141 Comments

  1. The very next time I read a blog, I hope that it doesn’t fail me as much as this particular one. I mean, Yes, it was my choice to read, however I truly believed you would probably have something useful to talk about. All I hear is a bunch of whining about something you could possibly fix if you weren’t too busy searching for attention.

  2. You’re so awesome! I do not believe I’ve read a single thing like this before. So wonderful to find somebody with genuine thoughts on this subject matter. Seriously.. many thanks for starting this up. This web site is one thing that is needed on the web, someone with some originality.

  3. I’m excited to uncover this website. I want to to thank you for ones time just for this wonderful read!! I definitely enjoyed every part of it and i also have you bookmarked to look at new stuff in your website.

  4. Next time I read a blog, Hopefully it won’t fail me just as much as this one. After all, Yes, it was my choice to read, however I truly thought you’d have something useful to talk about. All I hear is a bunch of crying about something that you could fix if you weren’t too busy searching for attention.

  5. Aw, this was an exceptionally nice post. Finding the time and actual effort to generate a very good article… but what can I say… I procrastinate a whole lot and don’t seem to get nearly anything done.

  6. This is the perfect site for anyone who wishes to understand this topic. You understand a whole lot its almost hard to argue with you (not that I actually would want to…HaHa). You definitely put a fresh spin on a subject which has been written about for decades. Great stuff, just wonderful.

  7. Howdy, I do believe your blog might be having browser compatibility problems. When I take a look at your website in Safari, it looks fine however, if opening in I.E., it has some overlapping issues. I just wanted to provide you with a quick heads up! Other than that, wonderful blog.

  8. This is the perfect webpage for anybody who hopes to find out about this topic. You know so much its almost tough to argue with you (not that I personally would want to…HaHa). You certainly put a new spin on a subject that has been written about for many years. Great stuff, just excellent.

  9. I truly love your blog.. Very nice colors & theme. Did you develop this website yourself? Please reply back as I’m looking to create my own website and would like to find out where you got this from or exactly what the theme is called. Thanks!

  10. Hi there would you mind letting me know which hosting company you’re
    working with? I’ve loaded your blog in 3 different web browsers and I
    must say this blog loads a lot faster then most.

    Can you recommend a good web hosting provider at a reasonable price?

    Thanks a lot, I appreciate it!

  11. After I initially left a comment I seem to have clicked the -Notify me when new comments are added- checkbox and now every time a comment is added I get 4 emails with the exact same comment. Perhaps there is a way you can remove me from that service? Cheers.

  12. Good post. I learn something totally new and challenging on sites I stumbleupon every day. It will always be exciting to read articles from other writers and practice something from their sites.

  13. Hi there! I could have sworn I’ve been to this web site before but after looking at many of the posts I realized it’s new to me. Nonetheless, I’m certainly delighted I stumbled upon it and I’ll be bookmarking it and checking back regularly.

  14. Hi, I do think this is an excellent website. I stumbledupon it 😉 I’m going to revisit yet again since I book-marked it. Money and freedom is the best way to change, may you be rich and continue to guide other people.

  15. Hi, I do think this is an excellent website. I stumbledupon it 😉 I will return once again since I book marked it. Money and freedom is the best way to change, may you be rich and continue to guide others.

  16. I seriously love your blog.. Excellent colors & theme. Did you build this web site yourself? Please reply back as I’m attempting to create my own blog and would love to know where you got this from or just what the theme is called. Kudos.

  17. Hi there! I simply would like to give you a huge thumbs up for the excellent info you’ve got right here on this post. I am coming back to your web site for more soon.

  18. Hey there! I just wish to give you a big thumbs up for the excellent info you have here on this post. I’ll be coming back to your website for more soon.

  19. The very next time I read a blog, Hopefully it does not disappoint me just as much as this particular one. After all, I know it was my choice to read through, however I genuinely thought you’d have something helpful to talk about. All I hear is a bunch of moaning about something that you could possibly fix if you were not too busy seeking attention.

  20. An intriguing discussion is definitely worth comment. I do believe that you need to write more on this subject matter, it might not be a taboo subject but typically people do not speak about these subjects. To the next! Cheers!

  21. I truly love your website.. Very nice colors & theme. Did you build this website yourself? Please reply back as I’m planning to create my own personal blog and would love to find out where you got this from or just what the theme is called. Thank you.

  22. I seriously love your blog.. Excellent colors & theme. Did you build this amazing site yourself? Please reply back as I’m attempting to create my own personal website and want to learn where you got this from or just what the theme is called. Appreciate it.

  23. I’m very happy to discover this web site. I want to to thank you for your time for this particularly wonderful read!! I definitely loved every little bit of it and I have you saved to fav to check out new stuff in your website.

  24. I blog quite often and I seriously thank you for your information. The article has really peaked my interest. I am going to bookmark your website and keep checking for new information about once per week. I subscribed to your RSS feed as well.

  25. This is the right web site for anybody who wishes to find out about this topic. You know a whole lot its almost hard to argue with you (not that I actually will need to…HaHa). You certainly put a fresh spin on a topic which has been written about for many years. Wonderful stuff, just wonderful.

  26. May I simply just say what a comfort to find a person that actually knows what they’re discussing on the internet. You definitely know how to bring an issue to light and make it important. More and more people need to look at this and understand this side of your story. I was surprised that you’re not more popular since you surely have the gift.

  27. I’m impressed, I must say. Seldom do I encounter a blog that’s both equally educative and amusing, and let me tell you, you’ve hit the nail on the head. The problem is an issue that too few men and women are speaking intelligently about. Now i’m very happy that I came across this in my hunt for something concerning this.

  28. Aw, this was a very nice post. Taking a few minutes and actual effort to make a good article… but what can I say… I hesitate a whole lot and never seem to get nearly anything done.

  29. Howdy, There’s no doubt that your blog could possibly be having browser compatibility problems. Whenever I look at your site in Safari, it looks fine however, when opening in IE, it has some overlapping issues. I just wanted to provide you with a quick heads up! Other than that, fantastic blog!

  30. An impressive share! I’ve just forwarded this onto a friend who has been conducting a little homework on this. And he actually ordered me dinner simply because I discovered it for him… lol. So allow me to reword this…. Thank YOU for the meal!! But yeah, thanks for spending the time to discuss this subject here on your website.

  31. Right here is the perfect website for anybody who hopes to understand this topic. You realize a whole lot its almost tough to argue with you (not that I really will need to…HaHa). You certainly put a new spin on a subject which has been discussed for many years. Wonderful stuff, just excellent.

  32. After I initially commented I appear to have clicked on the -Notify me when new comments are added- checkbox and from now on whenever a comment is added I recieve four emails with the exact same comment. There has to be a way you are able to remove me from that service? Thanks a lot.

  33. I’m very happy to uncover this page. I wanted to thank you for your time just for this fantastic read!! I definitely enjoyed every bit of it and I have you book marked to check out new things in your web site.

  34. Aw, this was an exceptionally nice post. Taking a few minutes and actual effort to make a really good article… but what can I say… I hesitate a whole lot and don’t seem to get nearly anything done.

  35. Aw, this was an exceptionally good post. Taking a few minutes and actual effort to produce a good article… but what can I say… I put things off a lot and don’t seem to get nearly anything done.

  36. This is the right website for anyone who wishes to find out about this topic. You realize so much its almost hard to argue with you (not that I personally would want to…HaHa). You certainly put a new spin on a topic that has been written about for a long time. Excellent stuff, just great.

  37. This is the perfect website for anybody who really wants to understand this topic. You understand a whole lot its almost hard to argue with you (not that I actually will need to…HaHa). You certainly put a new spin on a topic which has been discussed for ages. Excellent stuff, just wonderful.

  38. Everything is very open with a really clear description of the challenges. It was definitely informative. Your site is very helpful. Thank you for sharing!

  39. After checking out a few of the articles on your website, I honestly like your way of writing a blog. I saved as a favorite it to my bookmark webpage list and will be checking back soon. Take a look at my website as well and let me know your opinion.

  40. Your style is so unique compared to other people I have read stuff from. Thanks for posting when you’ve got the opportunity, Guess I’ll just book mark this blog.

  41. A fascinating discussion is definitely worth comment. I do think that you need to write more about this subject matter, it might not be a taboo subject but typically people don’t talk about such subjects. To the next! Best wishes.

  42. I’m very happy to find this great site. I need to to thank you for ones time due to this wonderful read!! I definitely really liked every part of it and I have you saved to fav to see new things in your blog.

  43. Oh my goodness! Awesome article dude! Many thanks, However I am going through problems with your RSS. I don’t understand the reason why I cannot join it. Is there anybody getting identical RSS problems? Anyone that knows the solution will you kindly respond? Thanx!

  44. A fascinating discussion is worth comment. There’s no doubt that that you need to write more on this issue, it may not be a taboo matter but generally folks don’t speak about such topics. To the next! Kind regards.

  45. Everything is very open with a clear description of the challenges. It was really informative. Your website is very useful. Many thanks for sharing!

  46. I truly love your website.. Excellent colors & theme. Did you build this amazing site yourself? Please reply back as I’m wanting to create my own website and would love to learn where you got this from or exactly what the theme is called. Appreciate it.

  47. It’s nearly impossible to find knowledgeable people on this subject, however, you sound like you know what you’re talking about! Thanks

  48. Nice post. I learn something new and challenging on websites I stumbleupon every day. It’s always useful to read content from other writers and practice a little something from their sites.

  49. I would like to thank you for the efforts you’ve put in writing this website. I’m hoping to view the same high-grade content by you later on as well. In truth, your creative writing abilities has motivated me to get my very own website now 😉

  50. Nice post. I learn something new and challenging on blogs I stumbleupon on a daily basis. It will always be interesting to read through content from other writers and use something from other web sites.

  51. I’m extremely pleased to uncover this web site. I wanted to thank you for your time for this wonderful read!! I definitely savored every part of it and i also have you book marked to check out new things on your site.

  52. You made some really good points there. I checked on the net for more information about the issue and found most people will go along with your views on this web site.

  53. Right here is the right blog for anybody who wants to find out about this topic. You realize a whole lot its almost tough to argue with you (not that I personally will need to…HaHa). You certainly put a brand new spin on a subject which has been written about for decades. Wonderful stuff, just great.

  54. Hi, I believe your web site might be having web browser compatibility issues. When I take a look at your web site in Safari, it looks fine however, if opening in IE, it’s got some overlapping issues. I merely wanted to provide you with a quick heads up! Apart from that, excellent website!

  55. You actually make it seem so easy with your presentation however I in finding this topic to be really one thing
    which I believe I’d by no means understand. It kind of feels too complex
    and extremely broad for me. I am taking a look forward to your subsequent post, I will attempt to get the
    cling of it! Lista escape room

Leave a Reply

Your email address will not be published. Required fields are marked *