Lesson plan / MATHEMATICS-II

Lesson Information

Course Credit 3.0
Course ECTS Credit 4.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course The main aim of the course is to provide the students with the skills of using knowledge in the field of advanced mathematics and in the classroom education. To gain the ability to use mathematics knowledge to solve engineering problems. To teach integral calculus by using integral techniques. To give basic definitions of analytic geometry. To inform the student in detail about series and series. To provide the ability to use the limit, continuity and integral of vector valued functions in practice. Traditionally, it is aimed to present the theoretical parts of the course as well as numerical and graphical subjects with class applications, quizzes, group works and assignments.
Course Content lan concept, calculation with finite sum, sigma representation, finite sum limit, definite integral. Integration and Variable Replacement Methods, Numerical Integration Methods, Hyperbolic and Inverse Hyperbolic Functions, Integral Techniques, Area, Arc Length, Calculating Rotor Surface Area and Volume, Finding Moment and Center of Gravity, Pappus Theorems, Polar convergence tests for harmonic and alternating series, absolute convergence and conditional convergence, derivative and integration of force series, convergence of force series, Taylor and Maclaurin series, Fourier series, field and arc length in coordinates, nonlinear integrals, series, infinite series, geometric series, Vectors, scalar and vector product, space and plane equations, cylinders and quadric surfaces, limit, continuity and integral of vector valued functions

Weekly Course Subjects

1Field concept, calculation with finite sum, sigma representation, finite sum limit, definite integral, Fundamental theorems of analysis and integral account.
2Calculation of limit with definite integral, calculation of indefinite integral and properties.
3Partial integration and variable changing methods, integral formulas.
4Numerical integral methods.
5Numerical integral methods.
6Numerical integral methods.
7Area, arc length, rotational surface area and volume calculations with definite integral help, finding of moment and center of mass.
8Finding moment and moment center with definite integral help, moment of inertia, Pappus theorems.
9Midterm
10Convergence tests for series, infinite series, geometric series, harmonic and alternating series.
11Absolute convergence and conditional convergence, convergence of power series.
12Vectors, scalar and vector product, space and plane equations, cylinders and quadric surfaces.
13Vector valued functions, limit, continuity and integral of vector valued functions.
14Sampling

Resources

1-Mustafa Balcı,Genel Matematik,Balcı Yayınları,Ankara,2008.