Course Information Package
|Course Unit Title||CALCULUS AND ANALYTIC GEOMETRY II|
|Course Unit Code||AMAT122|
|Course Unit Details||BSc Automotive Engineering (Required Courses) - BSc Mechanical Engineering (Required Courses) - BSc Computer Engineering (Required Courses) - BSc Computer Science (Required Courses) - BSc Civil Engineering (Required Courses) - BSc Quantity Surveying (Required Courses) - 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:|
|Mode of Delivery||Face-to-face|
|Recommended optional program components||NONE|
Definite and Indefinite integrals: The notions of definite and indefinite integrals. Fundamental Theorem of Calculus.
Applications of the Definite Integral: Areas between two curves, volumes by the methods of slices and cylindrical shells, and areas of surfaces of revolution.
Techniques of Integration: Method of u-substitution, Integration by Parts, partial fraction decomposition. Trigonometric integrals, inverse trigonometric and hyperbolic functions: their derivatives and integrals, integrals of powers of sines, cosines, tangents and secants by using reduction formulae, trigonometric substitutions.
Introduction to Partial Derivatives and Double Integrals.
Series: Infinite series, Power Series, Taylor and MacLaurin Series, tests of convergence.
Polar Coordinates: Polar coordinates and conversion of Cartesian to Polar coordinates. Areas in polar coordinates.
An introduction to complex numbers: Geometric interpretation, Polar form, Exponential form, powers and roots.
|Recommended and/or required reading:|
|Planned learning activities and teaching methods|
The theory is taught and several examples are solved on the white board.
Students are encouraged to participate.
Technology is used to deliver concepts and ideas.
Students are asked to work on their own during class hours on examples and practice problems.
Extra homework is given to students to work at home.
Students are encouraged to attend office hours for extra help.
|Assessment methods and criteria|
|Language of instruction||English|