Future University is one of most promising private universities in Egypt. Through excellence in teaching, research and service, Future University strives to provide a comprehensive, high-quality education that prepares our graduates to be future leaders.
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New Cairo
Egypt
Faculty of Engineering & Technology
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# Course List

## History & Theories of Architecture

• Course Code :
ARC 221
• Level :
• Course Hours :
3 Hours
• Department :
3

## a. Knowledge and Understanding:

 1- i.Provide a through understanding and working knowledge of mathematics relevant to this course. 2- ii.Develop techniques for solving problems that may arise in everyday life.

## b. Intellectual Skills:

 1- •Demonstrate knowledge of the theory, concepts, of Functions of several variables , Ordinary differential equations, and vector Analysis at the intellectual level required of this course 2- •Think logically. 3- •Analyze and solve problems. 4- •Organize tasks into a structured form. 5- •evaluate the evolving state of knowledge in a rapidly developing area 6- •Transfer appropriate knowledge and methods from one topic within the subject to another.

## c. Professional and Practical Skills:

 1- •Develop a professional attitude and approach to gain conceptual and practical knowledge and understanding Functions of several variables and Ordinary differential equations. 2- •Understand. Limits, Continuity, and partial derivatives, Chain rule. Tangent planes and normal lines, Extrema and Constrained Extrema 3- •Understand Multiple integrals: Double integral in Cartesian and Polar coordinates, Triple integrals, Surface integral of scalar functions , Jacobians, Cylindrical and spherical coordinates, 4- •Understand Scalar and vector fields, Gradient, Divergence, Curl and Directional derivative. Line integral, Green's theorem, Gauss's theorems, Stokes's theorems. 5- •Understand Ordinary differential equations: Equations of the first order: Separable, Homogenous, nearly Homogenous, Exact, Linear, Bernoulli. Ricatti. And Develop skills related to how to distinguish between them and determine the convenient method. 6- •Understand higher order linear equations. Equations of the second order. Complementary and particular solutions. Undetermined coefficients, variation of parameters. Euler's equation, Equations reducible to the first order, 7- •Understand System of linear differential equations. differential Operator method 8- •Gain the principle of quality control. 9- • Develop skills related to creative thinking, and problem solving.

## d. General and Transferable Skills:

 1- (i)Gain the principle of quality control. 2- (ii)Develop skills related to creative thinking, and problem solving.

## Course topics and contents:

Topic No. of hours Lecture Tutorial/Practical

## Teaching And Learning Methodologies:

Teaching and learning methods

## Course Assessment :

Methods of assessment Relative weight % Week No. Assess What

## Books:

Book Author Publisher