Faculty of Engineering
Module Guide 2014/15
Calculus I,II
Module Code ?(known as engineering mathematics)
Module Level 1st year students
Module Credit each one is 4
Semester 1,2
Module Lecturer Foad Naderi
Other Module Team Members ?
Pre-requisites None
Co-requisites None
Student class contact time each 68 hours (34 sessions lasting 2h)
Student lab contact time 0 hours
Timetable details ?
Module Description
Calculus is the foundation of science and engineering. Calulus is the mathematical study of change. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. In calculus ( I ) we study differential and integral calculus for single variable functions, i.e., functions with domain of real numbers R. In calculus (II) we study the same topics but for multivariable functions, i.e, functions with higher dimensions like R^n.
Learning Outcomes
By successful completion of this module students will be able to:
Learning OutcomeLearning Activity Explanation
Knowledge and understanding of real world problems concerning changes 1. Lectures
Communicate key principles and discussion of topics to help understanding and learning Problem solving (tutorial)Think independently and face new phenomena, study the nature
Assessment Details
Assessment
Tasksweighting
for components (%)Hand-in date
(university
week)Rationale for the task1.Midterm exam40TBCTo demonstrate knowledge and understanding of the module content3. Final exam
60Check University Exam timetableTo demonstrate knowledge and understanding of the module content
Teaching and Learning Details
Calculus is the mathematical study of change, and change can be understand by the method of small elements or infinitesimals. These elements were studied best by Leibniz and for studying nature and real world problems students must know to figure out these elements and through them calculate the change.
Outline Syllabus (according to Thomas book)
We know that each semester lasts 4.5 months including 18 weeks. So Calculus (I) needs 17 weeks of tutorial, each week contains 2 sessions and each session lasts 2 hours so we have 34 sessions (68 hours) for tutorial lectures. During the semester mid and final exams are needed and they are held in the remaining 2 sessions. The mid-term exam usually is held in the end of the 2nd month of semester and its score is 40% out of total score. The time of final exam is obvious. Also the kind of examination in my idea should be “Omissive Exam”, i.e, after taking the mid-term exam, the materials of the mid-term examination must be disregarded in the final exam and the lecturer should give final exam questions from the remaining material after the mid-term examination. The same instructions hold for Calculus II.
The following table contains Course Materials for Calculus I, II.
Chapter No.Content For Calculus ISessions needed1Functions12Limits and continuity33Differentiation24Application of differentiation55Integrals26Application of Integrals37Transcendental Functions18Techniques of Integration69First order differential equationsoptional10Infinite sequences and series711Parametric equations and polar coordinates4
Chapter No.Content For Calculus IISessions needed12Vectors and geometry of the space413Vector valued functions and motion in space314Partial Derivatives915Multiple Integrals516Integration in vector fields13172nd order differential equationsoptional
Reading and Learning Support List
G. Thomas & R. Finney (2012) calculus and analytic geometry, 12th edition
J. Stewart (2008), calculus.
Plagiarism and Collusion
All students are strongly advised to be familiar with Student Codes of Conduct on this matter and be aware of the Soran University and KRG Ministry of Higher Education and Scientific Research procedures as outlined in the: “Teaching Quality Assurance”, etc.
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