BMATE201 Mathematics for EEE Stream
BMATE201 Mathematics for EEE Stream

Syllabus Copy

Download

Module - 1

Vector Calculus

Introduction to Vector Calculus in EC & EE engineering applications. Vector Differentiation: Scalar and vector fields. Gradient, directional derivative, curl and divergence – physical interpretation, solenoidal and irrotational vector fields. Problems. Vector Integration: Line integrals, Surface integrals. Applications to work done by a force and flux. Statement of Green’s theorem and Stoke’s theorem. Problems. Self-Study: Volume integral and Gauss divergence theorem. Applications: Conservation of laws, Electrostatics, Analysis of streamlines and electric potentials.

Module - 2

Vector Space and Linear Transformations

Importance of Vector Space and Linear Transformations in the field of EC & EE engineering applications. Vector spaces: Definition and examples, subspace, linear span, Linearly independent and dependent sets, Basis and dimension. 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. Self-study: Angles and Projections.Rotation, reflection, contraction and expansion. Applications: Image processing, AI & ML, Graphs and networks, Computer graphics.

Module - 3

Laplace Transform

Importance of Laplace Transform for EC & EE engineering applications. Existence and Uniqueness of Laplace transform (LT), transform of elementary functions, region of convergence. Properties–Linearity, Scaling, t-shift property, s-domain shift, differentiation in the sdomain, division by t, differentiation and integration in the time domain. LT of special functionsperiodic functions (square wave, saw-tooth wave, triangular wave, full & half wave rectifier), Heaviside Unit step function, Unit impulse function. Inverse Laplace Transforms: Definition, properties, evaluation using different methods, convolution theorem (without proof), problems, and applications to solve ordinary differential equations. Self-Study: Verification of convolution theorem. Applications: Signals and systems, Control systems, LR, CR & LCR circuits.

Module - 4

Numerical Methods -1

Importance of numerical methods for discrete data in the field of EC & EE engineering applications. Solution of algebraic and transcendental equations: Regula-Falsi method and Newton-Raphson method (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, Weddle’s rule.Applications: Estimating the approximate roots, extremum values, area, volume, and surface area.

Download

Module - 5

Numerical Methods -2

Introduction to various numerical techniques for handling EC & EE applications. Numerical Solution of Ordinary Differential Equations (ODEs): 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 predictorcorrector formula (No derivations of formulae). Problems. Self-Study: Adam-Bashforth method. Applications: Estimating the approximate solutions of ODE for electric circuits.

Download

Model Papers

Model Paper - 1
Model Paper - 2
Model Paper Solved

Previous Papers

Download
Results

21 Comments

  9. E-wallets such as PayPal and Neteller usually offer the
    fastest withdrawal times. The Return to Player rate (RTP) tells you how much a game pays back over time.
    Security, fraud protection, and player verification are standard features to ensure safe banking every time.

    Gambling can be a lot of fun, but it’s important to do
    it responsibly to stay safe and enjoy it. If you’re curious about
    the specific gambling rules in your state or territory,
    you should look into local regulations. While there are national laws for gambling, each area in Australia has
    its own rules. As long as they meet these requirements,
    they can offer sports betting to Australians.
    It’s a chance to win some real cash without using any of your own.
    Limits and speeds vary by site and by your bank, so, always double-check the cashier before
    you play. Good for smoothing variance if you play regularly.

    Look for how many spins you get, the eligible game(s),
    expiry window (often 24–72h), and any win cap.
    Wins typically convert to bonus funds and must be wagered before withdrawal.
    This innovation changed the industry and is now licensed by other game
    providers worldwide. They invented the Megaways feature, which gives pokies thousands of ways to win on every spin.

    References:
    https://blackcoin.co/mindil-beach-casino-online-comprehensive-review/

  10. If players have questions or issues related to casino transactions, gameplay, or account
    management, they should first contact the casino’s customer support team.
    However, some sites offer demo versions of games without registration. Look
    for casinos using SSL encryption, offering secure payment methods, and displaying
    fair play certifications or terms and conditions. However, players should know the potential
    risks and choose reputable, licensed casinos.
    Remember, responsible gambling and choosing licensed, reputable casinos are key to a safe and enjoyable experience.

    This method is preferred by players who prioritise security over transaction speed.
    These options make depositing funds and playing on your preferred site possible.

    Choosing games with high RTP percentages is a smart strategy for maximising your chances of
    winning.
    Below are just a handful of some of our best gambling apps for 2025.

    Below is a snapshot of our criteria for ranking gambling operators.
    Our review process is carefully designed to make sure every
    casino we recommend is of the highest quality. Find your perfect place
    with our casino match tool. Some might be restricted in your country, while others will only offer email
    customer support.

    References:
    https://blackcoin.co/the-top-online-casinos-in-the-us-november-2025/

  11. Payouts are fast, gameplay is stable, support is reliable, and there’s a PWA available for mobile.

    Neospin offers 20% cashback. I got stuck in the “Originals” section, playing Limbo Cat the
    most. It was pretty much smooth sailing, just like before when I was actually playing
    here (not testing).
    It doesn’t get first hand then taking real player experiences into
    considerating when deciding on how good one software supplier is
    from another. On their site you’ll also find detailed reviews of slot software providers and of many of the top online
    casino sites. Here at TopCasino.com we intend on providing you with
    the relevant coverage and detailed information on gambling within each State as online casino gambling becomes available.
    Rankings organized by reputation, customer support, bonus offer
    and quality of the gaming experience. With over 2,600
    gaming machines and countless table games, it’s the largest casino in the Southern Hemisphere.

    References:
    https://blackcoin.co/ripper-casino-bonus-codes-november-2025/

  12. Treat the process more like opening a financial account than signing up to a casual app,
    and you will reduce the chance of delays or repeated requests from the verification team.
    Like most licensed casinos, 21Bit relies on a Know
    Your Customer process to confirm identity, prevent underage gambling and
    comply with anti-money-laundering rules. When you do that, the combination of encryption,
    responsible gambling tools and the established operator
    behind the brand provides a reasonable level of comfort for typical casino
    use. The platform uses HTTPS encryption to protect data in transit, and account access is gated
    by password and email confirmation.
    4) The free spins will be credited in the game shown on the winning page
    of the Spin Wheel. 1) The minimum required deposit is AU$45 or its equivalent in other fiat currencies.
    21Bit reserves the right to deduct bonus, and any eventual winnings generated from real money or bonus money while wagering with an active bonus.

    7) Maximum withdrawal limit for cash bonus is
    €100/US$100/C$150/N$150/AU$150.
    The “Provably Fair” system is where things get interesting for tech-savvy players.

    We’ve pulled together the quick hits to see if this spot ticks the boxes for
    Aussie players. The platform employs advanced SSL encryption technology to protect players’ personal and financial information.
    One of the highlights of 21bit Casino is its
    generous bonuses and promotions.

    References:
    https://blackcoin.co/areas-to-enjoy-responsible-exciting-and-safe-online-gambling/

  13. Once you dispatch the item, mark it as “shipped” on Facebook Marketplace.
    Always weigh your package before shipping to avoid extra
    charges. It’s crucial to review Facebook’s rules to ensure your product qualifies for shipping.

    “I don’t know how things change, but something does. He asked me on a date. We went out for dinner. Then it was slightly different. I’m really, really happy. John and I are having such a nice time but we’re taking things slowly. There are lots of other people to consider.” Last December, she claimed that
    the presenter made ‘rude joke after rude joke’ during
    her time on MasterChef. While John has remained mostly tight-lipped on his former co-star Wallace’s behaviour
    on-set, his wife has spoken out about what she witnessed on the show.
    The TV chef has found himself embroiled in the
    scandal engulfing his shamed MasterChef co-star Gregg Wallace, who has been sacked by the BBC
    after multiple allegations of misconduct were upheld following a
    seven-month investigation. Despite both being wed to different partners at the time, their friendship developed into
    romance, with John, 59, capturing Lisa’s heart through a touching
    love letter.

    References:
    https://blackcoin.co/black-jack-strategy-poker/

  14. These promotions do not require you to deposit money into your account in advance!
    This unlocks all its options, features, bonuses, and Fair Go full-game library!
    Let’s start with something important — to play the
    gambling games we offer, you don’t need an account with
    us. They can quickly resolve common issues related to games, payments,
    or bonuses through thorough analysis and ready-to-use solutions.

    We take security at Fair Go online casino very seriously. Fair Go
    Casino is 100% safe and legit and has been reviewed by thousands of Australian players.
    Win up to a $500 free bonus simply by depositing into your
    account each week. Join the chorus of satisfied winners today and
    discover why Fair Go casino continues to dominate
    the Australian online gaming landscape.

    References:
    https://blackcoin.co/internet-casino-gambling-all-that-you-should-know/

  15. Choose any game and click the Play button. You can also sign up using
    your existing Facebook account. Go to roblox.com
    and click Sign Up in the bottom. The game is lightweight and runs on most modern PCs.
    If you’re new to the platform and wondering how to download Roblox on PC,
    this guide explains every step you need to follow.

    And if you’re looking for an even faster way to deposit, you can use their instant bank transfer
    option. Our friendly customer support team will be more than happy to
    help you get started. Whether you’re a fan of slots, table games or
    anything in between, we’ve got you covered.
    At Fastpay Casino, we love giving our players free chips.
    Contact our customer support team, and they’ll be more than happy to help you out.
    We also offer cashback bonuses, which means you can get
    money back even if you lose.
    FastPay Casino regularly updates its promotion section with weekly reload bonuses, free
    spin offers, and tournaments. Each game features customizable limits, making it suitable for both beginners and
    high rollers. Loading times are fast, and the site functions seamlessly on both desktop and mobile browsers.
    The homepage includes quick links to the game lobby, promotions, payments, and support.

    We’ve designed FastPay Casino specifically for Australian players who value speed, security, and genuine choice.

    References:
    https://blackcoin.co/winspirit-casino-login-australia-quick-access-to-premium-gaming/

  16. We value our reputation and put the safety of our players first.
    Free spins, cashback, deposit match, and VIP bonuses are waiting for you on our site!
    That’s awesome because we value our regular clients and gratify them with superb BTC
    casino bonuses.
    You can spin top slot games for free in demo versions.
    Our team spends days and nights collecting the best online
    slots to your enjoyment. You can double your crypto fortune by playing Ethereum slot machines.
    Thus, gamers can find their favorites among top slots without hurting their bankrolls.
    We select the best online slots from the world-recognized
    providers.

    References:
    https://blackcoin.co/stay-casino-login-australia-quick-access-to-your-account/

  17. Der Casino Vergleich ist kostenlos, schnell und Du kannst ihn direkt auf unserer Seite ausführen.
    Schreibe dem 7Signs Kasino einfach an die Adresse Der Live Chat ist zu
    jeder Uhrzeit die ganze Woche über erreichbar und antwortet
    sehr schnell auf Anfragen. 7Signs ist eines der wenigen Casinos, die einen Telefon-Support anbietet.

    Das bedeutet, dass wir möglicherweise eine Kommission erhalten,
    wenn du dich über unseren Link bei einem Casino registrierst
    und dort spielst. CasinoFM bietet dir einen kostenlosen Vergleich von Online Casinos,
    durchgeführt mit reichhaltiger Expertise. Hierzu gehören Slots
    genauso wie Tischspiele und ein umfangreicher Live Casino-Bereich.

    Bei der Analyse anderer Rezensionen auf den Glücksspiel-Testseiten ergibt sich ein verhalten-positives Stimmungsbild.
    Dafür lädt die Webseite trotz der aufwendig gestalteten grafischen Elemente schnell.

    Spielen Sie teilnahmeberechtigte Spiele, nehmen Sie über
    die Registerkarte „Ereignisse“ teil und erhalten Sie für jedes €1,
    das Sie auf Spielautomaten setzen, einen Punkt.
    Wir haben tägliche Sprints und wöchentliche Bestenlisten und die Gewinner erhalten Preise für
    ihre Aktivität. Cashback und Turniere können im 7signs Casino gemeinsam
    genutzt werden, es sei denn, eine Aktionsseite macht deutlich, dass dies nicht möglich ist.

    References:
    https://online-spielhallen.de/starda-casino-mobile-app-ihr-umfassender-begleiter-fur-unterhaltung-unterwegs/

  18. Wir beginnen mit einem 100 Ersteinzahlungsbonus plus 5 € Gratiswette für Einzahlungen ab 10 € und erhöhen dies auf 150 mit einer
    15 € Gratiswette für Einzahlungen ab 50 €.
    Unsere Casino-Spieler erhalten einen 120 Match-Bonus ergänzt durch 50 Freispiele, während unsere Sportwetten-Teilnehmer einen 120 Bonus plus 10 €
    Gratiswette genießen. Wir strukturieren unsere Boni ohne Einzahlung so, dass Sie einen echten Einblick in unser Spielangebot erhalten. Wir ergänzen dies mit
    50 Freispielen, und unser System prüft automatisch jedes Wochenende Ihre Berechtigung, damit Sie diese Gelegenheit nie verpassen. Mit unserem
    bonus code VulkanSpiele Willkommenspaket laden wir
    Sie ein, ein dreistufiges Belohnungssystem zu erleben, das
    mit jeder Einzahlung wertvoller wird. Auf unserer Plattform bietet
    das VulkanSpiele bonus Programm deutschen Spielern eine sorgfältig strukturierte Belohnungsreise, die zu ihrem Spielstil
    passt.
    Allerdings sind diese zwei oben genannten Bonuscodes nur aktivierbar, wenn
    Sie den entsprechenden Links auf unserer Seite folgen. Zwar gibt es zu fast
    jeder Bonusaktion hier einen speziellen Vulkan Vegas Aktionscode, aber gibt es noch
    speziellere Bonuscodes. Alle neuen Kunden können sich über ein besonderes Willkommensangebot freuen. Dies zeigt sich vor allem in wunderschönen Bonusangeboten. Viele Anbieter
    – darunter Vulkanspiele – bieten spezielle Promo Codes für
    mobile Spieler an.

    References:
    https://online-spielhallen.de/quickwin-casino-erfahrungen-ein-umfassender-testbericht/

  19. Zurzeit bietet Mr. O Casino keinen speziellen Bonus ohne Einzahlung für Benutzer aus Bangladesch.

    Nutzen Sie jetzt Ihre Mr. O Casino bonus codes,
    um das Maximum herauszuholen! Das Casino bietet mehrsprachigen Support, großzügige Cashback-Angebote und maßgeschneiderte Promotionen für seine Spieler.
    Testen Sie Ihr Glück mit dem Mr. O Casino no deposit bonus und erleben Sie die Vielfalt des
    Online-Glücksspiels.
    Das Problem wurde gelöst, als der Spieler bestätigte, vom Support eine Klarstellung zu den Bonusbedingungen erhalten zu haben, aus der
    hervorging, dass seine Gewinne trotz Erfüllung der Wettanforderungen immer noch als Bonusgeld
    betrachtet wurden. Deshalb ist es unserer Meinung nach ratsam, nach
    einem besseren Online Casino zu suchen, in dem Sie beruhigt spielen können. Zu den Angeboten gehören Willkommensboni, Einzahlungsboni, Freispiele und spezielle Aktionen für
    Stammspieler.

    References:
    https://online-spielhallen.de/ggbet-casino-freispiele-ihr-umfassender-leitfaden/

  20. Freue dich auf deine Lieblingsspiele an den neusten Novoline & Merkur Automaten.
    Online Casinos bieten einige Vorteile für Spieler.
    Schnell & einfach die nächste Spielhalle in München finden!
    Dabei bekommt man entweder Freispiele oder einen Bonus auf seine erste Einzahlung.
    Die meisten Casinos bieten neuen Besuchern einen Willkommensbonus an. Laut Anbieter bieten die Casinos
    in Münchens Umgebung gelegentlich Boni und Aktionen für Besucher an.
    In Bad Füssing, Garmisch-Partenkirchen und Bad Reichenhall wird seit
    Ende 2017 ein Dice52 genanntes Würfelspiel angeboten. Diese Casino Pokervariante wird ebenfalls nur gegen die Bank gespielt.
    Insgesamt erinnert dieses Spiel sehr an das aus internationalen Spielbanken und
    Online Casinos bereits bekannte Ultimate Texas Hold’em.Darüber hinaus kann ein zusätzliches Bonusspiel euch
    höhere Gewinne ermöglichen.

    References:
    https://online-spielhallen.de/boaboa-casino-login-ihr-tor-zur-aufregenden-casinowelt/

Leave a Reply

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