BSc in Mechanical Engineering

## 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 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:- Explain the notion of definite and indefinite integrals, state and use the Fundamental Theorem of Calculus.
- Solve simple definite and indefinite integrals of polynomials, functions involving rational powers of the variable, exponential, trigonometric, and rational functions.
- Solve more complicated integrals by using the methods of integration by parts, u-substitution, partial fraction decomposition, and trigonometric substitution.
- Explain the concept of functions of two variables, find partial derivatives,
- Explain the concept of infinite series, state Taylor’s and MacLaurin’s Theorems, and expand simple functions in such series.
- Explain the notion of complex numbers, evaluate simple expressions involving complex numbers, and express complex numbers in polar form.
- Apply definite integration in order to compute areas between curves, and volumes of solids of revolution by using the methods of slices and cylindrical shells.
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Mode of Delivery | Face-to-face | ||||||

Prerequisites | AMAT111 | Co-requisites | NONE | ||||

Recommended optional program components | NONE | ||||||

Course Contents |
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Recommended and/or required reading: | |||||||

Textbooks | - Anton H., Bivens I and Davis S, Calculus, 7th edition, John Wiley & Sons, 2002.
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References | - C. Henry Edwards, David E. Penney, Calculus, Matrix Version, Pearson Education; 6th edition, 2002.
- James Stewart, Calculus, Concepts and Context, Thomson Learning; 3rd Bk & CD edition, 2004.
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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.
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Assessment methods and criteria |
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Language of instruction | English | ||||||

Work placement(s) | NO |