Mathematics 2
Description: The discipline contains sections: integral calculus of functions of one variable; differential equations; numerical and functional series. The content of the discipline involves deepening mathematical knowledge, studying methods and acquiring the skills of mathematical modeling of various physical processes in order to solve practical problems.
Amount of credits: 5
Пререквизиты:
- Mathematics 1
- Математика. Школьный курс
Course Workload:
Types of classes | hours |
---|---|
Lectures | 15 |
Practical works | 45 |
Laboratory works | |
SAWTG (Student Autonomous Work under Teacher Guidance) | 15 |
SAW (Student autonomous work) | 75 |
Form of final control | Exam |
Final assessment method |
Component: University component
Cycle: Base disciplines
Goal
- The purpose of studying the discipline is the formation of students' scientific and practical ideas about mathematical methods for describing and solving practical problems in engineering, technology, and economics.
Objective
- The tasks of studying the discipline are the assimilation of the basic concepts, methods and tasks of sections: the integral calculus of the function of one variable; numerical and functional series used in approximate methods for solving various applied problems; differential equations to which many problems of geometry, mechanics, physics, hydraulics are brought.
Learning outcome: knowledge and understanding
- To organize, formulate and reproduce the basic definitions, theorems, formulas for the studied sections of the discipline and give examples of applied problems
Learning outcome: applying knowledge and understanding
- The ability to apply basic and special knowledge of mathematical sciences in the field of engineering and technology in professional activities, apply methods of mathematical analysis and modeling, theoretical and experimental research.
Learning outcome: formation of judgments
- To study and apply additional literature on the discipline to solve applied problems; to form an idea of the process or phenomenon under study by mathematical methods.
Learning outcome: communicative abilities
- To be able to work in a team for assimilation, consolidation and transfer of acquired knowledge by mathematical methods in solving applied problems
Learning outcome: learning skills or learning abilities
- To acquire skills to obtain new knowledge necessary for the development of special disciplines and continuing education in the specialty; strive for professional and personal growth.
Teaching methods
interactive technologies (with active forms of learning: executive (supervised) conversation; moderation; brainstorming; motivational speech);
independent research work of students during the educational process;
solving educational problems.
Assessment of the student's knowledge
Teacher oversees various tasks related to ongoing assessment and determines students' current performance twice during each academic period. Ratings 1 and 2 are formulated based on the outcomes of this ongoing assessment. The student's learning achievements are assessed using a 100-point scale, and the final grades P1 and P2 are calculated as the average of their ongoing performance evaluations. The teacher evaluates the student's work throughout the academic period in alignment with the assignment submission schedule for the discipline. The assessment system may incorporate a mix of written and oral, group and individual formats.
Period | Type of task | Total |
---|---|---|
1 rating | IAT 1 | 0-100 |
IAT 2 | ||
Коллоквиум | ||
Final test 1 | ||
2 rating | IAT 3 | 0-100 |
IAT 4 | ||
Final test 2 | ||
Total control | Exam | 0-100 |
The evaluating policy of learning outcomes by work type
Type of task | 90-100 | 70-89 | 50-69 | 0-49 |
---|---|---|---|---|
Excellent | Good | Satisfactory | Unsatisfactory |
Evaluation form
The student's final grade in the course is calculated on a 100 point grading scale, it includes:
- 40% of the examination result;
- 60% of current control result.
The final grade is calculated by the formula:
FG = 0,6 | MT1+MT2 | +0,4E |
2 |
Where Midterm 1, Midterm 2are digital equivalents of the grades of Midterm 1 and 2;
E is a digital equivalent of the exam grade.
Final alphabetical grade and its equivalent in points:
The letter grading system for students' academic achievements, corresponding to the numerical equivalent on a four-point scale:
Alphabetical grade | Numerical value | Points (%) | Traditional grade |
---|---|---|---|
A | 4.0 | 95-100 | Excellent |
A- | 3.67 | 90-94 | |
B+ | 3.33 | 85-89 | Good |
B | 3.0 | 80-84 | |
B- | 2.67 | 75-79 | |
C+ | 2.33 | 70-74 | |
C | 2.0 | 65-69 | Satisfactory |
C- | 1.67 | 60-64 | |
D+ | 1.33 | 55-59 | |
D | 1.0 | 50-54 | |
FX | 0.5 | 25-49 | Unsatisfactory |
F | 0 | 0-24 |
Topics of lectures
- Primitive function
- Decomposition of rational fractions into simple partial fractions
- Integration of radical and trigonometric functions
- Applications of a definite integral
- Differential equations
- Differential equations of higher orders
- Linear homogeneous equations of second and higher orders with constant coefficients
- Numerical series
- Leibniz's theorem
- Taylor and Maclaurin series
Key reading
- Берман Г.Н. Сборник задач по курсу математического анализа. – М.: Наука, 2016
- Письменный Д.Т. Конспект лекций по высшей математике. – М.: Айрис-Пресс, 2013, Ч. 2,3.
- Рябушко А.П., Бархатов В.В. и др. Индивидуальные задания по высшей математике. – Минск: Высшая школа, 2013. – Т. 2,3,4.
- Айдос Е.Ж. Жоғары математика. - Алматы: «Бастау» баспасы, 2015. - II, III, IV томдары
- Шипачев В.С. Высшая математика. – М.: Высшая школа, 2014.
- Бугров Я.С., Никольский С.М. Высшая математика: Задачник. – М.: Физматлит, 2013.
- Фихтенгольц Г.М. Курс дифференциального и интегрального исчисления. – М.: Физматлит, 2013. – Т.1,2.
Further reading
- Хисамиев Н.Г., Тыныбекова С.Ж., Конырханова А.А. Математика. 1, 2 томдары.- Өскемен.- ШҚМТУ баспасы, 2013.
- Тыныбекова С.Ж., Рахметуллина Ж.Т. Математика.- Өскемен.- ШҚМТУ баспасы, 2013