Calculus I

The course aims at helping the 1st year students to expand their knowledge and understanding of key mathematical concepts. It comprises parts of Linear Algebra and Differential-Integral Calculus.

Objectives

Upon successful completion of this course the student will be able to: • Be aware sufficiently basic concepts of Linear Algebra (Calculation horizon, Inversion Table, Solution of linear systems (expatriates and non), eigenvalues ​​and eigenvectors tables) and may use it to needs of Specialization Courses Department. • Be aware of the concept of the function of one variable and know the basic functions. • Understand the meaning of the derivative function, its properties and how it is applied in Science of Engineering (Civil and Surveying). • Similar to the concepts of Integral Calculus.

Prerequisites

no

Syllabus

The course includes Chapters: 1. Linear Algebra (Tables - Determinants - Linear Systems - Linear Transformations) 2. Functions (General - Polynomial - Rational - Trig - Exponential and their inverses - Limit of a function) 3. Differential Calculus (Derivatives - Types and Properties - Theorems - Applications) 4. Integral Calculus (a) Indefinite integration (Types and Integration Methods) (b) Certain integrals (definition - theorem - Applications) Applications of Differential and Integral Calculus in Physics and Engineering.