The Faculty of Architecture / Architecture (English taught)

**1st Year, sem 1, 2023-2024**

Facultative Course | Hours/Week: **1C+1S** | ECTS Credits: **2**

- Department:
- Basics of Architectural Design
- Course Leader:
- conf.dr.arh. Anca Vitcu
- Teaching language:
English

- Learning outcomes:
General Objective

Acquiring basic knowledge and skills in:

- mathematical modeling of the behaviour of civil constructions under the action of various physical phenomena.

Specific Objectives

O1. Knowing some basic math concepts and how are used when performing the calculation in the statics of the rigid solid, statics of rigid body systems, wire statics,...;

O2. Knowledge of basic mathematical concepts, methods and techniques associate to dynamic analysis of structures in various contexts;

O3. Knowledge of basic mathematical concepts associated with some computations and analyzes specific to the architectural design.- Content:
Course

1. Elements of trigonometry (trigonometric functions, graphing trigonometric functions, equations and trigonometric inequalities, inverse trigonometric functions, solving the triangle with trigonometric functions)

2. General notions of matrix calculus

3. Vector calculus (composition and decomposition of forces concurrent in plan, composition and decomposition of forces concurrent in space, equilibrium of a material point, moments)

4. Vector calculus (composition and decomposition of forces parallel forces, centres of gravity - their determination, applications and properties)

5. Vector calculus (reduction of forces applied to a non-deformable solid, the equilibrium of a non-deformable solid, the equilibrium of a system of non-deformable solids)

6. General elements of differential calculus

7. General elements of integral calculusSeminar

1. Elements of trigonometry - applications in

Statics and Architectural Design

2. General notions of matrix calculus -

Applications in Construction Engineering and Architectural Design

3. Vector calculus - applications in Statics, Kinematics and Dynamics

4. Vector calculus - applications in Statics, Kinematics and Dynamics

5. Vector calculus - applications in Statics, Kinematics and Dynamics

6. General elements of differential calculus - applications in Statics, Kinematics and Dynamics

7. General elements of integral calculus – applications in Statics, Kinematics and Dynamics- Teaching Method:
Course: Lecture accompanied by exercises and debate

Seminar: Exercises – applications in architectural design and technical disciplines associated to the development of architectural projects- Assessment:
Evaluation during the semester

The evaluation of theoretical knowledge is done through the problems proposed to be solved at the seminar. (colloquium) (30%)

Solving the problems proposed at the seminar. (colloquium) (70%)Minimal performance standards

To understand fundamental mathematical concepts in the context of their correct application in the field of structural engineering and architectural design.- Bibliography:
Bibliography:

Beer P. Ferdinand (2013) - Vector Mechanics for Engineers: Statics and Dynamics, McGraw-Hill

Brent J. Lewis (2022) – Advanced Mathematics for Engineering Students: The Essential Toolbox, Elsevier

Choubey K. R. (2011) – Course in Mathematics: Trigonometry, Pearson

Hibbler R. C. (2015) - Engineering Mechanics: Statics, Pearson

Høgsberg Jan, Krenk Steen (2013) – Statics and Mechanics of Structures, Springer

Meriam J. L., Kraige L. G. (2012) – Engineering Mechanics (vol. I): Statics, Wiley

Meriam J. L., Kraige L. G. (2018) - Engineering Mechanics (vol. II): Dynamics, Wiley

Roberts A. P. (2003) - Statics and Dynamics with Background Mathematics, Cambridge

Vitcu Anca – Course notesSelective Bibliography (seminar):

Hibbler R. C. (2015) - Engineering Mechanics: Statics, Pearson

Meriam J. L., Kraige L. G. (2012) – Engineering Mechanics (vol. I): Statics, Wiley

Onouye Barry (2011) - Statics and Strength of Materials for Architecture and Building Construction, Pearson

Powers Gary (2013) - Trigonometry for Engineering Technology: With Mechanical, Civil, and Architectural Applications, Industrial Press

Vitcu Anca – Worksheets (problem selections)