رياضيات 2

MODULE DESCRIPTION FORM

نموذج وصف المادة الدراسية

Module Information معلومات المادة الدراسية
Module Title	Calculus II				Module Delivery
Module Type	Support				☒ Theory Lecture Lab ☒ Tutorial ☐ Practical ☐ Seminar
Module Code	CHPR110
ECTS Credits	5
SWL (hr/sem)	125
Module Level		UGx11 UGI	Semester of Delivery				2
Administering Department		CHPR	College	COGE
Module Leader	Name: Moataz Sajid Sharqi		e-mail	E-mail [email protected]
Module Leader’s Acad. Title		Ass. Lec.	Module Leader’s Qualification				MSc.
Module Tutor	Name (if available)		e-mail	E-mail
Peer Reviewer Name		Name	e-mail	E-mail
Scientific Committee Approval Date		01/06/2023	Version Number			1.0

Relation with other Modules

العلاقة مع المواد الدراسية الأخرى

Prerequisite module

None

Semester

Co-requisites module

None

Semester

Module Aims, Learning Outcomes and Indicative Contents

أهداف المادة الدراسية ونتائج التعلم والمحتويات الإرشادية

Module Objectives

أهداف المادة الدراسية

Understand various methods of integration.
Apply integration techniques to evaluate integrals involving trigonometric functions.
Understand the concept of improper integrals and their applications.
Calculate areas bounded by curves and volumes of solids of revolution using integrals.
Determine the lengths of plane curves and areas of surfaces of revolution.
Introduce the concept of matrices and their operations.

Module Learning Outcomes

مخرجات التعلم للمادة الدراسية

Apply different methods of integration, such as substitution, integration by parts, and trigonometric substitutions.
Evaluate integrals involving trigonometric functions, including trigonometric identities and special techniques.
Determine the convergence or divergence of improper integrals and evaluate them when possible.
Calculate areas bounded by curves and volumes of solids using integration techniques.
Find the lengths of plane curves and areas of surfaces of revolution using integrals.
Perform basic matrix operations, including addition, subtraction, multiplication, and inversion.

Indicative Contents

المحتويات الإرشادية

Methods of Integrations, Trigonometric Functions, Improper Integrals, Areas, Volumes of Solids of Revolutions, Lengths of Plane curves, Areas of Surfaces of Revolution, Matrices.

Learning and Teaching Strategies

استراتيجيات التعلم والتعليم

Strategies

Developing the student's ability to adopt the mathematical problem and solve it accurately and quickly.
Developing the student's ability to devise new methods for solving mathematical problems in line with the progress and development in this field.
Develop the student's ability to link the theoretical side of the subject with the practical side and search for a clear ground for application

Student Workload (SWL)

الحمل الدراسي للطالب محسوب لـ ١٥ اسبوعا

Structured SWL (h/sem)

الحمل الدراسي المنتظم للطالب خلال الفصل

Structured SWL (h/w)

الحمل الدراسي المنتظم للطالب أسبوعيا

Unstructured SWL (h/sem)

الحمل الدراسي غير المنتظم للطالب خلال الفصل

Unstructured SWL (h/w)

الحمل الدراسي غير المنتظم للطالب أسبوعيا

Total SWL (h/sem)

الحمل الدراسي الكلي للطالب خلال الفصل

125

Module Evaluation تقييم المادة الدراسية
As		Time/Number	Weight (Marks)	Week Due	Relevant Learning Outcome
Formative assessment	Quizzes	4	20% (10)	5 and 10	LO #1, #2 and #10, #11
	Assignments	2	10% (10)	2 and 12	LO #3, #4 and #6, #7
	Projects / Lab.	0	10% (10)	Continuous	All
	Report	1	10% (10)	13	LO #5, #8 and #10
Summative assessment	Midterm Exam	2hr	10% (10)	7	LO #1 - #7
Summative assessment	Final Exam	2hr	50% (50)	16	All
Total assessment			100% (100 Marks)

Delivery Plan (Weekly Syllabus) المنهاج الاسبوعي النظري
Week	Material Covered
Week 1	Introduction to integration methods: substitution.
Week 2	Integration by parts and partial fraction decomposition.
Week 3	Integration of trigonometric functions: trigonometric substitutions.
Week 4	Improper integrals: convergence and divergence.
Week 5	Evaluating improper integrals.
Week 6	Area under a curve and definite integrals.
Week 7	Areas bounded by curves.
Week 8	Volumes of solids of revolution.
Week 9	Lengths of plane curves.
Week 10	Arc length and surface area.
Week 11	Areas of surfaces of revolution.
Week 12	Introduction to matrices and basic operations.
Week 13	Matrix addition, subtraction, and scalar multiplication.
Week 14	Matrix multiplication and inverse.
Week 15	Review and application of integration methods and matrices.
Week 16	Preparatory week before the final Exam

Delivery Plan (Weekly Lab. Syllabus) المنهاج الاسبوعي للمختبر
Week	Material Covered
Week 1	None
Week 2	None
Week 3	None
Week 4	None
Week 5	None
Week 6	None
Week 7	None

Learning and Teaching Resources مصادر التعلم والتدريس
	Text	Available in the Library?
Required Texts	"Calculus: Early Transcendentals" by James Stewart.	No
Recommended Texts	"Linear Algebra and Its Applications" by David C. Lay.	No
Websites

Grading Scheme مخطط الدرجات
Group	Grade	التقدير	Marks %	Definition
Success Group (50 - 100)	A - Excellent	امتياز	90 - 100	Outstanding Performance
	B - Very Good	جيد جدا	80 - 89	Above average with some errors
	C - Good	جيد	70 - 79	Sound work with notable errors
	D - Satisfactory	متوسط	60 - 69	Fair but with major shortcomings
	E - Sufficient	مقبول	50 - 59	Work meets minimum criteria
Fail Group (0 – 49)	FX – Fail	راسب (قيد المعالجة)	(45-49)	More work required but credit awarded
Fail Group (0 – 49)	F – Fail	راسب	(0-44)	Considerable amount of work required

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.