Mathematics Punjab PMS Paper I Syllabus

Paper I Total Marks: 100

Candidates will be asked to attempt three questions from Section A and two questions from section B.

Section A

Limits, Continuity, Differentiability and its Applications, General theorems (Rolle’s Theorem, Mean value theorem), Asymptotes, Applications of Maxima and Minima. Definite and Indefinite integrals and their Application, Quadrature, Rectification, Numerical methods of Integration (Trapezoidal and Simpson rule), Multiple integrals and their Applications. Areas and Volumes, Centre of Mass, Reimann-Stijles Integral, Ordinary Differential Equations (O.D.Eqs) and their Applications in Rectilinear motion and Growth/Decay problems. 2nd Order Differential Equations with Applications (Spring Mass and Simple Harmonic Oscillator Problems).

Section B

Sequences and Series, Convergence tests, Power Series, Radius and Interval of Convergence. Complex Analysis, Function of Complex Variable, Demoivre’s Theorem and its Application. Analytic Function, Singularities, Cauchy theorem, Cauchy Integral formula.

Conic Sections in Cartesian coordinates, Plane Polar Coordinates and their use to represent the straight line and Conic section. Vector equation for plane and space curves. Tangents and Normals and Binormals, Curvature and torsion, Serre Frenet’s Formula.

Recommended Books:

  1. Anton, H, Calculus: A New Horizon, Ed. 6, John Willey, New York, 1999.

  2. Thomas, G. B. Finney. A. R., Calculus, Ed. 9, John Willey, New York, 2005.

  3. Yusuf, S.M. Amin. M., Calculus with Analytic Geometry, Ilmi Kitab Khana, Lahore.

  4. Zill, D. G. , Cullen, M.R., Differential Equations with Boundary Value Problems, Ed. 3. PWS Publishing Co., 1997.

  5. Abell, Braselton, Modem Differential Equations Ed. 2, Thomas Learning Inc. USA, 2001.

  6. Curchill, R.V., Brawn J.W., Complex Variables and Applications, Ed. 5, McGraw Hill, New York, 1989.

  7. Ghori, Q.K., Mechanics. Ilmi Kitab Khan, Lahore.

  8. Weather burn, C.E., Differential Geometry, The English Languages Book Society and Cambridge Uni. Press. 1964.

  9. Guggenheinerar, H.W., Differential Geometry, McGraw Hill, 1990.


65 thoughts on “Mathematics Punjab PMS Paper I Syllabus

  • October 14, 2022 at 8:54 pm

    179262 63085Wow, great blog layout! How long have you been blogging for? you make blogging appear simple. The overall appear of your internet internet site is amazing, let alone the content material! 385659

  • November 13, 2022 at 7:33 pm

    843394 384611This internet site can be a walk-through its the data you wanted concerning this and didnt know who to ask. Glimpse here, and youll undoubtedly discover it. 791313

  • April 28, 2023 at 3:28 pm

    423242 177263I feel other website proprietors need to take this site as an model, really clean and fantastic user friendly style and design, as nicely as the content material. Youre an expert in this subject! 570558

  • October 20, 2023 at 7:51 am

    I’m extremely impressed along with your writing talents and also with the structure in your blog. Is that this a paid subject or did you modify it yourself? Anyway stay up the nice high quality writing, it is uncommon to see a nice weblog like this one nowadays..

  • October 21, 2023 at 11:41 am

    I truly appreciate this post. I have been looking everywhere for this! Thank goodness I found it on Bing. You have made my day! Thank you again

  • October 22, 2023 at 7:50 am

    Write more, thats all I have to say. Literally, it seems as though you relied on the video to make your point. You definitely know what youre talking about, why waste your intelligence on just posting videos to your weblog when you could be giving us something informative to read?

  • October 23, 2023 at 10:13 pm

    When I originally commented I clicked the “Notify me when new comments are added” checkbox and now each time a comment is added I get four e-mails with the same comment. Is there any way you can remove people from that service? Cheers!

  • October 23, 2023 at 10:28 pm

    Normally I don’t read post on blogs, however I would like to say that this write-up very compelled me to try and do so! Your writing style has been surprised me. Thank you, quite nice article.

  • October 24, 2023 at 3:06 am

    Хотите получить идеально ровный пол без лишних затрат? Обратитесь к профессионалам на сайте! Мы предоставляем услуги по стяжке пола м2 по доступной стоимости, а также устройству стяжки пола под ключ в Москве и области.

  • October 24, 2023 at 11:52 am

    A further issue is that video gaming has become one of the all-time biggest forms of fun for people spanning various ages. Kids participate in video games, and also adults do, too. The particular XBox 360 is one of the favorite video games systems for people who love to have a huge variety of activities available to them, and who like to experiment with live with other individuals all over the world. Many thanks for sharing your thinking.

  • October 25, 2023 at 9:40 am

    You really make it appear really easy together with your presentation however I find this matter to be actually something which I believe I would never understand. It sort of feels too complex and extremely extensive for me. I am looking ahead for your subsequent publish, I will attempt to get the grasp of it!

  • October 26, 2023 at 6:18 am

    hello there and thank you in your info ? I have certainly picked up something new from right here. I did alternatively expertise several technical points the usage of this web site, as I skilled to reload the website lots of times previous to I may just get it to load correctly. I have been considering in case your web host is OK? Not that I am complaining, however slow loading instances instances will often have an effect on your placement in google and could damage your high quality score if advertising and ***********|advertising|advertising|advertising and *********** with Adwords. Well I am adding this RSS to my email and can look out for much extra of your respective intriguing content. Ensure that you update this again soon..

  • October 27, 2023 at 1:09 am

    Hey there would you mind sharing which blog platform you’re working with? I’m planning to start my own blog in the near future but I’m having a difficult time selecting between BlogEngine/Wordpress/B2evolution and Drupal. The reason I ask is because your design and style seems different then most blogs and I’m looking for something unique. P.S My apologies for getting off-topic but I had to ask!

  • October 27, 2023 at 2:04 am

    С механизированной штукатуркой стен от ремонт становится не только быстрым, но и качественным. Попробуйте самостоятельно, вы не разочаруетесь!

  • October 29, 2023 at 6:49 pm

    I’ve learned quite a few important things via your post. I’d personally also like to convey that there might be situation where you will obtain a loan and never need a co-signer such as a Fed Student Aid Loan. However, if you are getting a loan through a conventional financial institution then you need to be willing to have a co-signer ready to make it easier for you. The lenders will probably base their decision using a few components but the greatest will be your credit standing. There are some lenders that will also look at your job history and make up your mind based on that but in most cases it will hinge on your ranking.

  • October 30, 2023 at 5:45 am

    What?s Happening i’m new to this, I stumbled upon this I have found It absolutely helpful and it has helped me out loads. I hope to contribute & help different customers like its helped me. Great job.

  • November 1, 2023 at 4:44 am

    Oh my goodness! an incredible article dude. Thanks Nevertheless I am experiencing challenge with ur rss . Don?t know why Unable to subscribe to it. Is there anybody getting equivalent rss drawback? Anybody who knows kindly respond. Thnkx

  • November 1, 2023 at 1:30 pm

    hello there and thank you on your info ? I have definitely picked up something new from right here. I did alternatively experience a few technical points the use of this website, since I skilled to reload the web site a lot of instances previous to I may get it to load properly. I were brooding about if your web host is OK? Not that I’m complaining, however sluggish loading instances occasions will very frequently affect your placement in google and could injury your high quality score if ads and ***********|advertising|advertising|advertising and *********** with Adwords. Well I?m including this RSS to my email and can glance out for a lot more of your respective intriguing content. Make sure you update this again very soon..

  • November 2, 2023 at 3:30 am

    Its such as you learn my thoughts! You seem to understand a lot about this, like you wrote the ebook in it or something. I believe that you could do with some to power the message house a little bit, however instead of that, that is wonderful blog. A fantastic read. I’ll certainly be back.

  • November 2, 2023 at 8:11 am

    I found your weblog website on google and examine just a few of your early posts. Continue to maintain up the very good operate. I just additional up your RSS feed to my MSN Information Reader. Seeking forward to studying more from you afterward!?

  • November 2, 2023 at 5:55 pm

    I mastered more interesting things on this weight loss issue. One particular issue is that good nutrition is extremely vital while dieting. An enormous reduction in junk food, sugary foods, fried foods, sweet foods, pork, and white colored flour products might be necessary. Possessing wastes parasites, and toxic compounds may prevent goals for losing belly fat. While certain drugs momentarily solve the situation, the awful side effects are certainly not worth it, and they never supply more than a temporary solution. It is a known incontrovertible fact that 95 of fad diets fail. Thanks for sharing your notions on this blog site.

  • November 3, 2023 at 3:45 am

    Thanks for your post on the vacation industry. I might also like to include that if you’re a senior taking into account traveling, its absolutely crucial that you buy travel cover for older persons. When traveling, retirees are at biggest risk of having a health-related emergency. Obtaining the right insurance coverage package on your age group can safeguard your health and provide peace of mind.

  • November 4, 2023 at 1:28 am

    Great goods from you, man. I have understand your stuff previous to and you’re just too fantastic. I really like what you have acquired here, certainly like what you are stating and the way in which you say it. You make it entertaining and you still take care of to keep it wise. I can not wait to read far more from you. This is really a terrific website.

  • November 4, 2023 at 5:12 am

    I feel this is one of the such a lot significant information for me. And i’m glad reading your article. However wanna statement on few common things, The site taste is great, the articles is in point of fact nice : D. Good task, cheers

  • November 4, 2023 at 10:56 am

    Another thing I have really noticed is that for many people, below-average credit is the response to circumstances outside of their control. By way of example they may have already been saddled with an illness so they have higher bills for collections. It might be due to a occupation loss or even the inability to go to work. Sometimes divorce or separation can send the funds in a downward direction. Many thanks for sharing your opinions on this blog site.

  • November 5, 2023 at 9:40 pm

    Хотите получить идеально ровные стены в своей квартире или офисе? Обращайтесь к профессионалам на сайте! Мы предоставляем услуги по механизированной штукатурке стен в Москве и области, а также гарантируем быстрое и качественное выполнение работ.

  • November 6, 2023 at 1:44 am

    Heya i am for the first time here. I found this board and I find It really useful & it helped me out much. I hope to offer something again and aid others like you aided me.

  • November 6, 2023 at 8:08 am

    I have discovered that fees for online degree specialists tend to be a fantastic value. Like a full Bachelors Degree in Communication from The University of Phoenix Online consists of Sixty credits at $515/credit or $30,900. Also American Intercontinental University Online makes available Bachelors of Business Administration with a overall education course requirement of 180 units and a cost of $30,560. Online degree learning has made taking your college diploma so much easier because you could earn your own degree in the comfort of your house and when you finish from work. Thanks for all the other tips I’ve learned from your web site.

  • November 7, 2023 at 7:33 am

    Hi there, You have done a great job. I?ll certainly digg it and individually recommend to my friends. I’m confident they’ll be benefited from this website.

  • November 8, 2023 at 7:41 am

    347037 130914Exploring in Yahoo I eventually stumbled upon this site.Reading this information. 797518

  • November 8, 2023 at 8:29 pm

    I found your blog website on google and check a couple of of your early posts. Continue to keep up the very good operate. I simply further up your RSS feed to my MSN News Reader. Seeking ahead to reading more from you later on!?

  • November 9, 2023 at 10:53 am

    It’s in reality a nice and helpful piece of information. I’m satisfied that you simply shared this helpful info with us. Please stay us informed like this. Thanks for sharing.

  • November 9, 2023 at 5:19 pm

    Hi there! I could have sworn I’ve been to this blog before but after browsing through some of the post I realized it’s new to me. Anyways, I’m definitely happy I found it and I’ll be bookmarking and checking back often!

  • November 9, 2023 at 9:35 pm
    Permalink is a Global Trusted Online Fake Books Decor Store. We sell high quality budget price fake books decoration, Faux Books Decor. We offer FREE shipping across US, UK, AUS, NZ, Russia, Europe, Asia and deliver 100+ countries. Our delivery takes around 12 to 20 Days. We started our online business journey in Sydney, Australia and have been selling all sorts of home decor and art styles since 2008.

  • November 10, 2023 at 3:14 pm

    Greate pieces. Keep writing such kind of information on your page. Im really impressed by your blog.

  • November 10, 2023 at 7:49 pm

    One thing I would really like to say is the fact that car insurance canceling is a dreadful experience and if you are doing the suitable things being a driver you will not get one. Many people do have the notice that they’ve been officially dumped by the insurance company they then have to scramble to get supplemental insurance after the cancellation. Cheap auto insurance rates are frequently hard to get from cancellation. Having the main reasons concerning the auto insurance cancellations can help car owners prevent getting rid of in one of the most vital privileges obtainable. Thanks for the concepts shared by means of your blog.

  • November 10, 2023 at 8:59 pm

    You’re so awesome! I don’t suppose I have read anything like this before. So nice to find somebody with a few unique thoughts on this issue. Really.. thank you for starting this up. This website is something that’s needed on the web, someone with a little originality!

  • November 11, 2023 at 9:07 am

    hi!,I like your writing so much! share we communicate more about your post on AOL? I require an expert on this area to solve my problem. May be that’s you! Looking forward to see you.

  • November 12, 2023 at 6:44 am

    There are some attention-grabbing closing dates on this article but I don?t know if I see all of them center to heart. There is some validity but I’ll take hold opinion till I look into it further. Good article , thanks and we wish more! Added to FeedBurner as nicely

  • November 12, 2023 at 4:35 pm

    What an insightful and thoroughly-researched article! The author’s meticulousness and ability to present complicated ideas in a comprehensible manner is truly praiseworthy. I’m extremely enthralled by the scope of knowledge showcased in this piece. Thank you, author, for providing your expertise with us. This article has been a true revelation!

  • November 14, 2023 at 7:51 am

    You really make it seem so easy with your presentation but I to find this matter to be actually one thing that I think I would never understand. It sort of feels too complicated and extremely extensive for me. I’m having a look forward on your next put up, I will try to get the hang of it!

  • November 15, 2023 at 3:16 pm

    Thanks for your post. My spouse and i have constantly noticed that a lot of people are desperate to lose weight as they wish to show up slim along with attractive. Nonetheless, they do not generally realize that there are other benefits for you to losing weight additionally. Doctors insist that overweight people are afflicted with a variety of diseases that can be instantly attributed to their particular excess weight. The good news is that people who’re overweight along with suffering from numerous diseases are able to reduce the severity of their illnesses simply by losing weight. It’s possible to see a continuous but notable improvement with health as soon as even a slight amount of weight reduction is attained.

  • November 17, 2023 at 4:16 am

    fantastic issues altogether, you just gained a logo new reader. What may you suggest in regards to your post that you simply made a few days ago? Any positive?

  • November 18, 2023 at 7:33 pm

    Thanks for your article. One other thing is individual states have their own laws that will affect house owners, which makes it very difficult for the our lawmakers to come up with a different set of recommendations concerning property foreclosure on property owners. The problem is that each state possesses own laws and regulations which may have impact in a negative manner with regards to foreclosure insurance plans.

  • November 19, 2023 at 4:38 am

    Hello There. I found your blog using msn. This is an extremely well written article. I?ll make sure to bookmark it and come back to read more of your useful information. Thanks for the post. I?ll certainly return.

  • November 20, 2023 at 2:59 am

    Unquestionably imagine that which you said. Your favorite justification appeared to be at the web the simplest thing to take into accout of. I say to you, I certainly get annoyed at the same time as other folks think about worries that they just don’t recognize about. You managed to hit the nail upon the highest and defined out the entire thing with no need side effect , people can take a signal. Will likely be again to get more. Thanks

  • November 20, 2023 at 8:29 pm

    Hey there! Do you know if they make any plugins to assist with Search Engine Optimization? I’m trying to get my blog to rank for some targeted keywords but I’m not seeing very good success. If you know of any please share. Cheers!

  • November 21, 2023 at 10:34 pm

    Just wish to say your article is as surprising. The clarity to your post is just great and that i can suppose you are an expert in this subject. Well with your permission allow me to clutch your feed to keep updated with imminent post. Thank you 1,000,000 and please carry on the enjoyable work.

  • November 23, 2023 at 12:03 am

    I enjoy what you guys are up too. This kind of clever work and coverage! Keep up the awesome works guys I’ve included you guys to my personal blogroll.

  • November 23, 2023 at 5:48 am

    138807 52312Merely a smiling visitor here to share the love (:, btw outstanding style . “Audacity, far more audacity and always audacity.” by Georges Jacques Danton. 677884

  • November 24, 2023 at 1:08 am

    Today, considering the fast life-style that everyone leads, credit cards have a big demand in the economy. Persons out of every area of life are using credit card and people who aren’t using the credit cards have lined up to apply for even one. Thanks for revealing your ideas on credit cards.

  • November 26, 2023 at 10:54 am

    Nice post. I learn something new and challenging on sites I stumbleupon everyday. It will always be exciting to read content from other writers and practice a little something from their sites.

  • November 26, 2023 at 1:55 pm

    I can’t believe how amazing this article is! The author has done a tremendous job of delivering the information in an engaging and educational manner. I can’t thank her enough for offering such precious insights that have certainly enriched my understanding in this subject area. Hats off to him for creating such a gem!

  • November 26, 2023 at 6:05 pm

    I do enjoy the way you have framed this particular issue and it really does present me personally some fodder for consideration. Nonetheless, because of what precisely I have personally seen, I simply hope when other comments pile on that folks continue to be on issue and not get started on a tirade associated with the news of the day. Still, thank you for this excellent piece and though I do not go along with the idea in totality, I respect the perspective.

  • November 28, 2023 at 5:21 am

    Hello just wanted to give you a brief heads up and let you know a few of the pictures aren’t loading correctly. I’m not sure why but I think its a linking issue. I’ve tried it in two different browsers and both show the same outcome.

  • November 29, 2023 at 10:27 pm

    Thanks for the strategies you share through this site. In addition, a lot of young women exactly who become pregnant never even make an effort to get health care insurance because they dread they wouldn’t qualify. Although a few states at this point require that insurers provide coverage despite the pre-existing conditions. Premiums on these guaranteed plans are usually higher, but when considering the high cost of health care bills it may be a safer approach to take to protect one’s financial potential.

  • November 30, 2023 at 12:12 am

    Good post. I am going through some of these issues as well..

Leave a Reply

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

%d bloggers like this: