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<!doctype html>
<html lang="en">
<head>
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<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">
<title>Home - CS 357</title>
<link rel="icon" href="/assets/img/favicon.png">
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<img class="mr-2" style="max-height:25pt" src="/assets/img/logo.png" alt="logo"> CS 357 <span class="badge badge-success">Spring 2025</span>
</a>
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<body>
<section class="contact_info section_padding">
<div class="container mb-4">
<h1 class="page-title">Numerical Methods I</h1>
</div>
<div class="container mb-4">
<a href="/pages/syllabus.html" class="btn_1">Syllabus</a>
<a href="https://us.prairielearn.com/pl/course_instance/171058" class="btn_2" style="margin: 0px !important;">PrairieLearn</a>
<a class="btn_3" href="https://discord.gg/fFudKaJ2d7"
style="background-color: #5865F2 !important; background-image: none !important; color: white; font-weight: normal !important; margin: 0px !important;">
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Discord
</a>
</div>
<div class="container mb-4">
<h3>Course Description</h3>
<p>
Fundamentals of numerical methods for students in science and engineering;
floating-point computation, systems of linear equations, approximation of
functions and integrals, the single nonlinear equation, and the
numerical solution of ordinary differential equations; various
applications in science and engineering; programming exercises
and use of high quality mathematical library routines. Course
Information: Same as MATH 357. Credit is not given for CS 357
if credit for CS 450 has been earned. (Counts for advanced hours in LAS).
Prerequisite: A 100-level computer science course; MATH 257; MATH 241.
</p>
</div>
<div class="container mb-4">
<h3>Learning objectives</h3>
<p> Students should be able to:</p>
<ol>
<li>Analyze the sources of errors in mathematical operations on the computer</li>
<li>Recognize major numerical methods and their merits and pitfalls</li>
<li>Calculate the computational cost of a range of numerical methods</li>
<li>Select and use software tools, based on their numerical methods, for a range of problems</li>
<li>Estimate the accuracy in approximated numerical solutions</li>
<li>Work in small groups on open ended problems</li>
</ol>
</div>
<div class="container mb-4">
<h3>Course format</h3>
<p>
<strong>Flipped classroom:</strong> Students complete weekly pre-lecture assignments and corresponding
homework sets asynchronously. The course is offered in two modalities (sections): in-person and online.
The only difference between the sections is how students complete the “in-class” activities. In the
in-person section, students attend class during lecture time and work in teams on computer-based activities.
In the online section, students complete the same activities asynchronously (but on the same day as the
in-person students), still in groups, with no attendance requirement. Students are allowed to switch
sections during the first two weeks of the semester to choose the format that best suits their learning
style or personal preferences.
The “in-class” assignments consist of Group Activities (GAs) delivered through PrairieLearn. Students work
in teams of 2-3 to complete the GAs. For more details, see the <a
href="/pages/lectures.html">Group Activities</a> page.
</p>
<p>
<strong>Bi-weekly quizzes:</strong> Students complete six 50-minutes quizzes at the <a
href="https://cbtf.illinois.edu/students">Computer-Based Testing Facility</a>. There is no option for
online quizzes. For more details, see the <a href="/pages/quizzes.html">Quizzes</a> page.
</p>
<p>
<strong>Course support:</strong> We offer support both online via <a
href="https://discord.gg/fFudKaJ2d7">Discord</a> and in-person at the Siebel Basement. Check the schedule for
office hours and find instructions on how to use Discord on our <a
href="/pages/contact.html">Support</a> page.
</p>
</div>
</section>
<!-- staff gallery start -->
<style>
.custom-gallery-container {
width: 80%;
margin: 0 auto;
}
.custom-gallery-padding {
padding: 140px 0px 80px 0px;
}
.custom-staff-image {
width: 100%;
height: 400px;
object-fit: cover;
/* important: no image distortion when fitting other screen size */
border-radius: 0.25rem;
transition: height 0.8s ease;
}
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padding: 10px;
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<!-- staff gallery start -->
<section>
<div class="container-fluid">
<div class="row justify-content-center">
<div class="col-xl-5">
<div class="section_tittle text-center">
<h2>Meet the Course Staff</h2>
</div>
</div>
</div>
<div class="custom-gallery-container row justify-content-center">
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="mfsilva-img"
src="/assets/img/staff/mfsilva.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Mariana Silva</h5>
<p class="card-text">prof</p>
</div>
<div id="mfsilva-bio" class="custom-staff-bio">
<div class="card-links">
<a href="mailto:[email protected]">Email,</a>
<a href="http://mfsilva.web.illinois.edu/" target="_blank">Webpage</a>
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="kaiyaok2-img"
src="/assets/img/staff/kaiyaok2.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Kaiyao Ke</h5>
<p class="card-text">grad</p>
</div>
<div id="kaiyaok2-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="ananthm3-img"
src="/assets/img/staff/ananthm3.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Ananth Madan</h5>
<p class="card-text">grad</p>
</div>
<div id="ananthm3-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="skagini2-img"
src="/assets/img/staff/skagini2.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Shuban Kagini</h5>
<p class="card-text">grad</p>
</div>
<div id="skagini2-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="aryanm8-img"
src="/assets/img/staff/aryanm8.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Aryan Malhotra</h5>
<p class="card-text">grad</p>
</div>
<div id="aryanm8-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="jizej2-img"
src="/assets/img/staff/jizej2.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Jize Jiang</h5>
<p class="card-text">grad</p>
</div>
<div id="jizej2-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
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<div class="card max-height custom-hover">
<img id="zihaoli5-img"
src="/assets/img/staff/zihaoli5.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Zihao Li</h5>
<p class="card-text">grad</p>
</div>
<div id="zihaoli5-bio" class="custom-staff-bio">
<div class="card-links">
<a href="https://www.zihao.website/" target="_blank">Webpage</a>
</div>
</div>
</div>
</div>
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<div class="card max-height custom-hover">
<img id="cx23-img"
src="/assets/img/staff/cx23.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
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<h5 class="card-title">Calvin Xu</h5>
<p class="card-text">grad</p>
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<div class="card-links">
</div>
</div>
</div>
</div>
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src="/assets/img/staff/zhan32.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Jianyuan Zhan</h5>
<p class="card-text">grad</p>
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<div id="zhan32-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
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<div class="card max-height custom-hover">
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src="/assets/img/staff/hongboz2.jpg"
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onerror="this.src='/assets/img/staff/blank_profile.png'">
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<h5 class="card-title">Hongbo Zheng</h5>
<p class="card-text">grad</p>
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<div id="hongboz2-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
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<div class="card max-height custom-hover">
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src="/assets/img/staff/dsingh14.jpg"
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onerror="this.src='/assets/img/staff/blank_profile.png'">
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<h5 class="card-title">Dev Singh</h5>
<p class="card-text">ugrad</p>
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<div id="dsingh14-bio" class="custom-staff-bio">
<div class="card-links">
<a href="https://devksingh.com" target="_blank">Webpage</a>
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<div class="card max-height custom-hover">
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src="/assets/img/staff/kpate457.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Kajal Patel</h5>
<p class="card-text">ugrad</p>
</div>
<div id="kpate457-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
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<div class="card max-height custom-hover">
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onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Julie Lima</h5>
<p class="card-text">ugrad</p>
</div>
<div id="julie11-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
<div class="col-lg-3 col-md-4 col-sm-6 mb-4">
<div class="card max-height custom-hover">
<img id="hongyid3-img"
src="/assets/img/staff/hongyid3.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Sam Dong</h5>
<p class="card-text">ugrad</p>
</div>
<div id="hongyid3-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
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<img id="emilyh10-img"
src="/assets/img/staff/emilyh10.jpg"
class="custom-staff-image card-img-top"
onerror="this.src='/assets/img/staff/blank_profile.png'">
<div class="card-body">
<h5 class="card-title">Emily Hsieh</h5>
<p class="card-text">ugrad</p>
</div>
<div id="emilyh10-bio" class="custom-staff-bio">
<div class="card-links">
</div>
</div>
</div>
</div>
</div>
</div>
</section>
<!-- staff gallery end -->
</body>
<script src="/assets/js/jquery-1.12.1.min.js"></script>
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<!-- bootstrap js -->
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