Course Information Package
|Course Unit Title||CALCULUS AND ANALYTIC GEOMETRY I|
|Course Unit Code||AMAT111|
|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|
Linear and other Inequalities in one Variable. Absolute Values and their Properties.
Exponents, roots and their properties. The concept of the logarithm and its properties. Exponential and logarithmic equations.
Basic trigonometric functions and their graphs (sinx, cosx, tanx, cotx, secx, cscx) and basic identities of trigonometric functions including trigonometric functions of sums and differences of two angles.
Real valued functions of one variable: functions, operations of functions, inverse functions, logarithmic and exponential functions and their properties, parametric equations. Graphs of linear, quadratic, cubic, square root, exponential and logarithmic functions.
Limits and continuity: introduction to calculus, limits, and continuity.
Differentiation: The derivative as a function, the derivative as a rate of change and as the slope of a graph, techniques of differentiation, chain rule, derivatives of trigonometric, exponential, and logarithmic functions, higher derivatives, implicit differentiation, and differentials.
Applications of differentiation: related rates, increase, decrease, and concavity, relative extrema, first and second derivative tests, curve sketching, absolute minimum and maximum values of functions, applied maximum and minimum value problems.
Introduction to the concept of integration.
|Recommended and/or required reading:|
|Planned learning activities and teaching methods|
The taught part of course is delivered to the students by means of lectures and several examples are solved on the white board. Students are asked to work on their own during class hours on practice problems, and they are encouraged to ask questions.
Many additional exercises are given to students to work at home, and analytic solutions are provided. Students are encouraged to attend office hours for extra help.
|Assessment methods and criteria|
|Language of instruction||English|