{"id":3879,"date":"2026-05-23T17:37:45","date_gmt":"2026-05-23T17:37:45","guid":{"rendered":"https:\/\/nucs-edu.org\/?p=3879"},"modified":"2026-05-28T18:04:10","modified_gmt":"2026-05-28T18:04:10","slug":"cst-1111","status":"publish","type":"post","link":"https:\/\/nucs-edu.org\/en\/syllabus\/cst-1111\/","title":{"rendered":"Mathematics (CST-1111)"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"3879\" class=\"elementor elementor-3879\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4842e54 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"4842e54\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-97be98a elementor-widget elementor-widget-text-editor\" data-id=\"97be98a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div 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16px;\n    text-align: left !important;\n  }\n\n  .nucs-math-syllabus .outline-table tr.chapter-row td .chapter-num {\n    display: inline-block;\n    background: #e53935;\n    color: #fff;\n    border-radius: 4px;\n    padding: 1px 9px;\n    font-size: 11px;\n    font-weight: 700;\n    letter-spacing: 1px;\n    margin-right: 10px;\n    text-transform: uppercase;\n  }\n\n  .nucs-math-syllabus .outline-table td.week-cell {\n    width: 100px;\n    font-weight: 700;\n    color: #e53935;\n    font-size: 13px;\n    white-space: nowrap;\n  }\n\n  .nucs-math-syllabus .outline-table td.topic-cell { color: #333; }\n\n  \/* li inside topic-cell *\/\n  .nucs-math-syllabus .outline-table td.topic-cell li {\n    font-size: 13px;\n    line-height: 1.75;\n    color: #333;\n    margin-bottom: 3px;\n    margin-left: 16px;\n  }\n\n  \/* Assignment row *\/\n  .nucs-math-syllabus .outline-table tr.assignment-row td {\n    background: #fff3f3;\n    border-left: 4px solid #e53935;\n    color: #c62828;\n    font-family: 'Arial', sans-serif;\n    font-size: 13px;\n    font-weight: 600;\n    padding: 8px 16px;\n    text-align: left !important;\n  }\n\n  \/* Final exam row *\/\n  .nucs-math-syllabus .outline-table tr.final-row td {\n    background: #1a1a2e;\n    color: #fff;\n    font-weight: 700;\n    font-size: 14px;\n    padding: 14px 16px;\n    letter-spacing: 2px;\n    text-align: left !important;\n  }\n<\/style>\n\n<div class=\"nucs-math-syllabus\">\n\n  <!-- Header -->\n  <div class=\"syllabus-header\">\n    <h1>Mathematics<\/h1>\n    <div class=\"course-code\">Course Code: M-1111 &nbsp;|&nbsp; First Semester<\/div>\n    <div class=\"meta-grid\">\n      <div class=\"meta-item\">\n        <strong>Duration<\/strong>\n        <span>15 Weeks<\/span>\n      <\/div>\n      <div class=\"meta-item\">\n        <strong>Lectures<\/strong>\n        <span>3 per week &nbsp;&times;&nbsp; 1 hour<\/span>\n      <\/div>\n    <\/div>\n  <\/div>\n\n  <!-- Textbook -->\n  <div class=\"section-title\">Textbook<\/div>\n  <div class=\"textbook-box\">\n    <div class=\"tb-icon\">&#128218;<\/div>\n    <div>\n      <div class=\"tb-label\">Required Textbook<\/div>\n      <div class=\"tb-title\">Thomas&#8217; Calculus in SI Units, 14<sup>th<\/sup> Edition<\/div>\n      <div class=\"tb-author\">Joel R. Hass, Christopher E. Heil &amp; Maurice D. Weir<\/div>\n    <\/div>\n  <\/div>\n\n  <!-- Course Description -->\n  <div class=\"section-title\">Course Description<\/div>\n  <div class=\"description-box\">\n    This course introduces first-semester students to the fundamental concepts of calculus and mathematical analysis as applied in computing and technology disciplines. Beginning with a solid grounding in functions and their properties, students progressively develop skills in limits, continuity, differentiation, and integration. Emphasis is placed on both theoretical understanding and practical problem-solving, equipping students with the mathematical reasoning required to support further study in computer science, engineering, and related fields.\n  <\/div>\n\n  <!-- Learning Objectives & Outcomes -->\n  <div class=\"olo-grid\">\n    <div class=\"olo-box objectives\">\n      <h3>Learning Objectives<\/h3>\n      <ol>\n        <li>Introduce students to the concepts of functions, their types, graphs, and algebraic combinations including trigonometric and exponential forms.<\/li>\n        <li>Develop a rigorous understanding of limits, continuity, and asymptotic behaviour of functions.<\/li>\n        <li>Build competency in differentiation techniques including the chain rule, implicit differentiation, and related rates.<\/li>\n        <li>Enable students to apply derivatives to real-world problems such as optimisation, curve sketching, and Newton&#8217;s method.<\/li>\n        <li>Introduce definite and indefinite integrals and the Fundamental Theorem of Calculus.<\/li>\n        <li>Apply integration to compute areas, volumes, arc lengths, surface areas, and physical quantities such as work and mass.<\/li>\n        <li>Foster logical and analytical reasoning skills essential for advanced mathematics and computer science study.<\/li>\n      <\/ol>\n    <\/div>\n    <div class=\"olo-box outcomes\">\n      <h3>Learning Outcomes<\/h3>\n      <ul>\n        <li>Analyse and graph a variety of functions, including composite, trigonometric, and exponential functions.<\/li>\n        <li>Evaluate limits and determine continuity of functions using formal definitions and limit laws.<\/li>\n        <li>Apply differentiation rules accurately to algebraic, trigonometric, and implicitly defined functions.<\/li>\n        <li>Solve applied optimisation problems and sketch curves using first and second derivative tests.<\/li>\n        <li>Compute definite and indefinite integrals using substitution and other standard techniques.<\/li>\n        <li>Use integration to solve geometric and physical application problems, including volumes and arc length.<\/li>\n        <li>Demonstrate mathematical communication skills by presenting solutions in a structured and logical manner.<\/li>\n      <\/ul>\n    <\/div>\n  <\/div>\n\n  <!-- Major Topics -->\n  <div class=\"section-title\">Major Topics Covered<\/div>\n  <div class=\"topics-covered\">\n    <div class=\"pills\">\n      <div class=\"pill\">Functions<\/div>\n      <div class=\"pill\">Limits &amp; Continuity<\/div>\n      <div class=\"pill\">Differentiation<\/div>\n      <div class=\"pill\">Applications of Derivatives<\/div>\n      <div class=\"pill\">Integrals<\/div>\n      <div class=\"pill\">Applications of Integration<\/div>\n    <\/div>\n  <\/div>\n\n  <!-- Assessment -->\n  <div class=\"section-title\">Assessment Components<\/div>\n  <div class=\"assessment-bar\">\n    <div class=\"assess-block assignment\"><div class=\"lbl\">Assignments<\/div><\/div>\n    <div class=\"assess-block tutorial\"><div class=\"lbl\">Tutorial<\/div><\/div>\n    <div class=\"assess-block exam\"><div class=\"lbl\">Final Exam<\/div><\/div>\n  <\/div>\n\n  <!-- Delivery Note -->\n  <div class=\"delivery-note\">\n    <strong>Lecture Structure:<\/strong> 3 lectures per week, each up to 60 minutes. Assignments are distributed throughout the semester via LMS, with a Tutorial and Final Exam at the end of the term.\n  <\/div>\n\n  <!-- Course Outline -->\n  <div class=\"section-title\">Course Outline<\/div>\n  <table class=\"outline-table\">\n    <thead>\n      <tr>\n        <th style=\"width:110px;\">Week<\/th>\n        <th>Topic<\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n\n      <!-- Topic I -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic I<\/span> Functions<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 01<\/td>\n        <td class=\"topic-cell\">\n          <li>Functions and Their Graphs<\/li>\n          <li>Combining Functions; Shifting and Scaling Graphs<\/li>\n          <li>Trigonometric Functions<\/li>\n          <li>Exponential Functions<\/li>\n        <\/td>\n      <\/tr>\n\n      <!-- Topic II -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic II<\/span> Limits and Continuity<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 02<\/td>\n        <td class=\"topic-cell\">\n          <li>Rates of Change and Tangents to Curves<\/li>\n          <li>Limit of a Function and Limit Laws<\/li>\n          <li>The Precise Definitions of a Limit<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 03<\/td>\n        <td class=\"topic-cell\">\n          <li>One-Sided Limits<\/li>\n          <li>Limits Involving Infinity; Asymptotes of Graphs<\/li>\n          <li>Continuity<\/li>\n        <\/td>\n      <\/tr>\n      <tr class=\"assignment-row\"><td><\/td><td>&#128203; Assignment<\/td><\/tr>\n\n      <!-- Topic III -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic III<\/span> Differentiation<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 04<\/td>\n        <td class=\"topic-cell\">\n          <li>Tangents and the Derivative at a Point<\/li>\n          <li>The Derivative as a Function<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 05<\/td>\n        <td class=\"topic-cell\">\n          <li>Differentiation Rules<\/li>\n          <li>The Derivative as a Rate of Change<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 06<\/td>\n        <td class=\"topic-cell\">\n          <li>Derivatives of Trigonometric Functions<\/li>\n          <li>The Chain Rule<\/li>\n          <li>Implicit Differentiation<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 07<\/td>\n        <td class=\"topic-cell\">\n          <li>Related Rates<\/li>\n          <li>Linearization and Differentials<\/li>\n        <\/td>\n      <\/tr>\n      <tr class=\"assignment-row\"><td><\/td><td>&#128203; Assignment<\/td><\/tr>\n\n      <!-- Topic IV -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic IV<\/span> Applications of Derivatives<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 08<\/td>\n        <td class=\"topic-cell\">\n          <li>Extreme Values of Functions on Closed Intervals<\/li>\n          <li>The Mean Value Theorem<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 09<\/td>\n        <td class=\"topic-cell\">\n          <li>Monotonic Functions and the First Derivative Test<\/li>\n          <li>Concavity and Curve Sketching<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 10<\/td>\n        <td class=\"topic-cell\">\n          <li>Applied Optimization<\/li>\n          <li>Newton&#8217;s Method<\/li>\n          <li>Antiderivatives<\/li>\n        <\/td>\n      <\/tr>\n\n      <!-- Topic V -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic V<\/span> Integrals<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 11<\/td>\n        <td class=\"topic-cell\">\n          <li>Area and Estimating with Finite Sums<\/li>\n          <li>Sigma Notation and Limits of Finite Sums<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 12<\/td>\n        <td class=\"topic-cell\">\n          <li>The Definite Integral<\/li>\n          <li>The Fundamental Theorem of Calculus<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 13<\/td>\n        <td class=\"topic-cell\">\n          <li>Indefinite Integrals and the Substitution Method<\/li>\n          <li>Definite Integral Substitutions and the Area Between Curves<\/li>\n        <\/td>\n      <\/tr>\n\n      <!-- Topic VI -->\n      <tr class=\"chapter-row\">\n        <td colspan=\"2\"><span class=\"chapter-num\">Topic VI<\/span> Applications of Definite Integrals<\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 14<\/td>\n        <td class=\"topic-cell\">\n          <li>Volumes Using Cross-Sections<\/li>\n          <li>Volumes Using Cylindrical Shells<\/li>\n        <\/td>\n      <\/tr>\n      <tr>\n        <td class=\"week-cell\">Week 15<\/td>\n        <td class=\"topic-cell\">\n          <li>Arc Length<\/li>\n          <li>Areas of Surfaces of Revolution<\/li>\n          <li>Work and Fluid Forces<\/li>\n          <li>Moments and Centers of Mass<\/li>\n        <\/td>\n      <\/tr>\n      <tr class=\"assignment-row\"><td><\/td><td>&#128203; Assignment &amp; Tutorial<\/td><\/tr>\n\n      <!-- Final Exam -->\n      <tr class=\"final-row\">\n        <td colspan=\"2\">&#127891; &nbsp; Final Exam<\/td>\n      <\/tr>\n\n    <\/tbody>\n  <\/table>\n\n<\/div>\n<!-- End CST-1111 Mathematics Syllabus -->\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Mathematics Course Code: M-1111 &nbsp;|&nbsp; First Semester Duration 15 Weeks Lectures 3 per week &nbsp;&times;&nbsp; 1 hour Textbook &#128218; Required Textbook Thomas&#8217;<\/p>","protected":false},"author":8,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[22],"tags":[],"class_list":["post-3879","post","type-post","status-publish","format-standard","hentry","category-syllabus"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/posts\/3879"}],"collection":[{"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/comments?post=3879"}],"version-history":[{"count":25,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/posts\/3879\/revisions"}],"predecessor-version":[{"id":4094,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/posts\/3879\/revisions\/4094"}],"wp:attachment":[{"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/media?parent=3879"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/categories?post=3879"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nucs-edu.org\/en\/wp-json\/wp\/v2\/tags?post=3879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}