Course Details
Course Information Package
Course Unit Title | CALCULUS III | ||||||
Course Unit Code | AMAT223 | ||||||
Course Unit Details | BSc Electrical Engineering (Required Courses) - | ||||||
Number of ECTS credits allocated | 5 | ||||||
Learning Outcomes of the course unit | By the end of the course, the students should be able to:
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Mode of Delivery | Face-to-face | ||||||
Prerequisites | AMAT122 | Co-requisites | NONE | ||||
Recommended optional program components | NONE | ||||||
Course Contents | Three Dimensional Space, Vectors: Rectangular coordinates & 3-D vectors, the vector (cross) and dot products of two vectors, lines and planes in space, quadric and more general surfaces.
Vector Valued Functions: Vector valued functions, curves and motion in space.
Functions of several variables and optimization: Functions of several variables and the chain rule, directional derivatives and the gradient vector, tangent planes, maximum and minimum values of functions of several variables, the 2nd derivative test for functions of two variables, Lagrange Multipliers and constrained max-min problems.
Double Integrals: Double integrals over general regions, area and volume by double integration, change of variables in double integrals, double integrals in polar coordinates.
Vector Fields and Line Integrals: The Triple Integrals: Triple integrals, volume by triple integration, change of variables in triple integrals, triple integrals in cylindrical and spherical coordinates.
Surface area and Surface integrals.
Divergence and Stoke’s theorems.
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Recommended and/or required reading: | |||||||
Textbooks |
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References |
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Planned learning activities and teaching methods | The theory is taught, and several examples are solved, on the white board, with the participation of students. Also, students are asked to work on practice problems on their own during class hours, and they are encouraged to ask questions. Many additional exercises as well as their analytic solutions are given to students through the internet to work at home. Students are encouraged to attend office hours for extra help. For the assessment, the students are given two mid-term tests and a final exam.
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Assessment methods and criteria |
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Language of instruction | English | ||||||
Work placement(s) | NO |