Brief description of the course: The main goal of teaching mathematics is to achieve high level of mathematical knowledge among students. A student must know the basic principles of mathematics and be able to apply them. The student must understand why he or she is studying mathematics. Studying mathematics requires the student to try solving problems using the knowledge they have gained. Mathematics plays a very important role in modern science and engineering. Computers, cars, airplanes, mobile phones, iPads, iPods, bridges, dams and countless other engineering or technological achievements of the modern age were designed by people who could understand and apply mathematics.
The presentation of the subject matter
For the students majoring in oil and gas engineering and also chemical engineering include the study of the following chapters of the course “MATHEMATICS 1”:
1.Elements of linear algebra and analytical geometry
2.Differential calculus of functions of one variable and its applications
3. Differential calculus of functions of several variable and its applications
V. List of Lecture Topics
Matrices and operations on matrices. Determinants.Basic properties,rules for calculation.
Chapter 8(Textbook 2), ex1-8, ex9-12
Rank of matrix.Metods for finding the rank.Inverse matrix.
Chapter 8(Textbook 2), ex29-34, ex39-43
Basic notions of a system of linear equtions. Basic methods for solving a system of linear equtions.Cramer`method. Gauss`method(the method of elimination.
Second midterm exam – in one of these days «25-29» november 2019
(The second midterm exam will cover materials, during the period 16.09.2019-22.11.2019)
B) Tasks for independent work of students
In the process of learning is important the independent work of sdudents.During of the semester it is planned to perfom (write) 10 independent works.Topic for independent work of sdudents are prepared by lecture.Students perfom the work applying knowledge gained in the classroom and using the given literature (bibliography).The students reseive advice from the lecture. The lecture assesses the work out of working time.
Tasks for independent work
Time of delivery of work(dates)
Finding the inverse matrix.
Solving a system of linear equtions.
Dot product.Cross product.Mixed product.
Equation of a straight line Equation of a plane.
Limit of a sequence. Limit of a function.
Finding the derivatives.
Indeterminate forms of the type.
Testing functions for monotonicity. Extrema of functions.
Asymptotes of a curve.
Partial derivatives of a function of two variables.
C) According to the results of the semester exam:maximum 50 points
Each examination card has 5questions; for each question a maximum of 10 points are given
Remark: The number of points earned by the student at the examination shall not be less than 17.
D) Evaluation on the results of the semester (based on the points earned at and before the examination):