نموذج وصف المادة الدراسية
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Module Information معلومات المادة الدراسية |
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Module Title |
Calculus I |
Module Delivery |
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Module Type |
B |
☒ Theory ☒ Lecture ☒ Lab ☐ Tutorial ☐ Practical ☐ Seminar |
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Module Code |
BOG1111 |
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ECTS Credits |
6 |
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SWL (hr/sem) |
150 |
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Module Level |
UGx11 UGI |
Semester of Delivery |
One |
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Administering Department |
Oil and Gas Engineering |
College |
Oil and Gas Engineering |
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Module Leader |
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Module Leader’s Acad. Title |
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Module Leader’s Qualification |
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Module Tutor |
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Peer Reviewer Name |
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Scientific Committee Approval Date |
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Version Number |
1.0 |
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Relation with other Modules العلاقة مع المواد الدراسية الأخرى |
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Prerequisite module |
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Semester |
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Co-requisites module |
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Semester |
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Module Aims, Learning Outcomes and Indicative Contents أهداف المادة الدراسية ونتائج التعلم والمحتويات الإرشادية |
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Module Objectives أهداف المادة الدراسية
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To understand and apply the concepts and properties of various mathematical functions, including absolute-value, sign, and greatest integer functions, as well as trigonometric, inverse trigonometric, logarithmic, exponential, and hyperbolic functions. Additionally, to explore the graphs, domains, ranges, limits, derivatives, integrals, and inverse functions associated with these functions. Lastly, to learn and utilize L'Hopital's Rule for evaluating limits of indeterminate forms.
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Module Learning Outcomes
مخرجات التعلم للمادة الدراسية |
Module Learning Outcomes:
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Indicative Contents المحتويات الإرشادية |
Indicative Contents for the Module:
Introduction to Functions
Definition of a function Graphs of functions Domain and range of functions Some important functions: Absolute-Value Function, Sign Function, Greatest Integer Function
Limits
Basic limits Infinite limits Limits at infinity Continuity of functions and its relation to limits
Differentiation
Derivative from definition Laws of derivatives First and Second Order Derivatives Implicit Differentiation Chain Rule Rolle's Theorem Mean-Value Theorem
Integrations
Indefinite Integration Definite Integration
Trigonometric Functions
Graphs of trigonometric functions Domain and range of trigonometric functions Limits of trigonometric functions Derivatives of trigonometric functions Integrals involving trigonometric functions
Inverse Trigonometric Functions
Graphs of inverse trigonometric functions Domain and range of inverse trigonometric functions Identities involving inverse trigonometric functions Derivatives of inverse trigonometric functions Integrals leading to inverse trigonometric functions
Logarithm Functions
General and natural logarithm functions Graphs of logarithm functions Domain and range of logarithm functions Derivatives of logarithm functions Integrals leading to natural logarithms
Exponential Functions
General and natural exponential functions Graphs of exponential functions Domain and range of exponential functions Derivatives of exponential functions Integrals involving exponential functions
Hyperbolic Functions
Graphs of hyperbolic functions Domain and range of hyperbolic functions Derivatives of hyperbolic functions Integrals involving hyperbolic functions
Inverse of Hyperbolic Functions
Graphs of inverse hyperbolic functions Domain and range of inverse hyperbolic functions Derivatives of inverse hyperbolic functions Integrals leading to inverse hyperbolic functions
L'Hopital's Rule
Limits of indeterminate forms Application of L'Hopital's Rule
Please note that this is an indicative contents list and can be modified or expanded as per the specific requirements of the module. |
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Learning and Teaching Strategies استراتيجيات التعلم والتعليم |
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Strategies |
The learning and teaching strategies for this module involve a combination of lectures, problem-solving sessions, interactive discussions, practical applications, and the integration of technology. Through these strategies, students are exposed to the concepts, properties, and techniques associated with various mathematical functions. They engage in hands-on activities, analyze examples, and participate in discussions to deepen their understanding. Formative assessments, self-study opportunities, and revision sessions are incorporated to monitor progress, encourage independent learning, and reinforce knowledge. These strategies aim to create an inclusive and engaging learning environment that promotes active learning, critical thinking, and problem-solving skills |
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Student Workload (SWL) الحمل الدراسي للطالب محسوب لـ ١٥ اسبوعا |
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Structured SWL (h/sem) الحمل الدراسي المنتظم للطالب خلال الفصل |
58 |
Structured SWL (h/w) الحمل الدراسي المنتظم للطالب أسبوعيا |
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Unstructured SWL (h/sem) الحمل الدراسي غير المنتظم للطالب خلال الفصل |
92 |
Unstructured SWL (h/w) الحمل الدراسي غير المنتظم للطالب أسبوعيا |
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Total SWL (h/sem) الحمل الدراسي الكلي للطالب خلال الفصل |
150 |
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Module Evaluation تقييم المادة الدراسية |
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Time/Number |
Weight (Marks) |
Week Due |
Relevant Learning Outcome |
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Formative assessment |
Quizzes |
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10% (10) |
5 and 10 |
LO #1, #2 and #10, #11 |
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Assignments |
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10% (10) |
2 and 12 |
LO #3, #4 and #6, #7 |
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Projects / Lab. |
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10% (10) |
Continuous |
All |
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Report |
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10% (10) |
13 |
LO #5, #8 and #10 |
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Summative assessment |
Midterm Exam |
1hr |
10% (10) |
7 |
LO #1 - #7 |
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Final Exam |
2hr |
50% (50) |
16 |
All |
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Total assessment |
100% (100 Marks) |
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Delivery Plan (Weekly Syllabus) المنهاج الاسبوعي النظري |
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Week |
Material Covered |
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1 |
Functions: Graphs, Domain, and Range |
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2 |
Important Functions: Absolute Value, Sign, Greatest Integer |
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Limits: Basic Limits, Infinite Limits, Limits at Infinity, Continuity |
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Differentiation: Derivative from Definition, Laws of Derivatives, First and Second Order Derivatives, Implicit Differentiation, Chain Rule, Rolle's Theorem, Mean-Value Theorem |
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Integrations: Indefinite Integration, Definite Integration |
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Trigonometric Functions: Graphs, Domain, Range, Limits, Derivatives, Integrations |
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7 |
Inverse Trigonometric Functions: Graphs, Domain, Range, Identities, Derivatives, Integrals |
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8 |
Logarithm Functions: General and Natural Logarithm, Graphs, Domain, Range, Derivatives, Integrals |
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9 |
Exponential Functions: General and Natural Exponential, Graphs, Domain, Range, Derivatives, Integrals |
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10 |
Hyperbolic Functions: Graphs, Domain, Range, Derivatives, Integrals |
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11 |
Inverse of Hyperbolic Functions: Graphs, Domain, Range, Derivatives, Integrals |
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12 |
L'Hopital's Rule: Limits of Undetermined Forms |
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13 |
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14 |
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15 |
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Week 16 |
Preparatory week before the final Exam |
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Delivery Plan (Weekly Lab. Syllabus) المنهاج الاسبوعي للمختبر |
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Week |
Material Covered |
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Learning and Teaching Resources مصادر التعلم والتدريس |
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Text |
Available in the Library? |
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Required Texts |
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Recommended Texts |
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Websites |
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Grading Scheme مخطط الدرجات |
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Group |
Grade |
التقدير |
Marks % |
Definition |
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Success Group (50 - 100) |
A - Excellent |
امتياز |
90 - 100 |
Outstanding Performance |
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B - Very Good |
جيد جدا |
80 - 89 |
Above average with some errors |
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C - Good |
جيد |
70 - 79 |
Sound work with notable errors |
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D - Satisfactory |
متوسط |
60 - 69 |
Fair but with major shortcomings |
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E - Sufficient |
مقبول |
50 - 59 |
Work meets minimum criteria |
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Fail Group (0 – 49) |
FX – Fail |
راسب (قيد المعالجة) |
(45-49) |
More work required but credit awarded |
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F – Fail |
راسب |
(0-44) |
Considerable amount of work required |
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Note: Marks Decimal places above or below 0.5 will be rounded to the higher or lower full mark (for example a mark of 54.5 will be rounded to 55, whereas a mark of 54.4 will be rounded to 54. The University has a policy NOT to condone "near-pass fails" so the only adjustment to marks awarded by the original marker(s) will be the automatic rounding outlined above. |
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