Educational- methodical complex on the Mathematics I
6. Intercultural competence – what works best whether doing assignments outside class or working without an instructor
a. Developing cultural competence during formal instruction
Doing cultural activities in the textbook thoroughly
Going beyond assignments in the textbook
Participating in activities of a language club or association
Doing required activities in the media or language learning center
Going beyond required activities in the language learning center
Other: ______________
b. Developing cultural competence while in the target culture
Listening to radio or television in the local language during personal or professional travel.
Reading tourist information and other materials in the local language during personal or professional travel.
Writing personal reflections on the local culture, whether in English or in the local language, during personal or professional travel.
Speaking with native speakers about their culture, in English or in the local language, during personal and professional travel.
c. Reflecting on other cultures, making connections, doing comparisons, and considering target language communities
Reflecting on differences between your culture and a target culture, whether you are reading a book at home or traveling abroad.
Reflecting on how your knowledge of a target culture can be helpful in connections to your personal or professional interests.
Reflecting on how your language and its views of the world compare with the views presented by other languages.
Reflecting on the communities where a target language is spoken, along with its values and beliefs.
Other ____________
d. Seeking opportunities to develop cultural competence
Taking a course on intercultural communication
Attending lectures and events that build knowledge about other cultures
Study abroad options
Professional travel abroad
Community activities
Internships or cooperative education experiences
Exploring internet sites
Participating in international chat rooms
Pursuing personal interests using international Web sites
Pursuing professional interests that require use of a target language
Other: _________________
MY REFLECTIONS ON INTERCULTURAL COMPETENCE. To improve my knowledge of other cultures I find the following most effective:
Educational- methodical complex on the Mathematics I
Àstana
The course content
List of lectures
The name of the theme
hours
Literature
Current control, points
1. Determinants and their properties. Matrix. Operations with matrices. The inverse matrix. Systems of linear equations
[1],[4]
0,4
2. The simplest problem of analytic geometry. Equations of a straight line on a plane.
[2],[5]
0,4
3. Analytic geometry in space. Vectors. Simple operations with vectors. The scalar, vector and mixed product of vectors.
[2],[5]
0,4
4. The curves of the second order. Canonical equation of second order curves.
[1],[4]
0,4
5. Function. Methods of doing functions. The limit function. Fundamental theorems on limits. Infinitely small and infinitely large quantities. The ends.
[1],[4]
0,4
6. The derivative of the function. Geometric and mechanical meaning.
Table of derivatives. The differential of a function. Derivatives of complex functions.
8. Investigation of the function. Extremum of the function. Necessary and sufficient conditions for the existence of an extremum. Convexity, concavity and inflection points. Assimptoty. The overall study of design features.
[1],[4]
0,4
9. Primitive. Indefinite integral and its properties. Table of integrals. Direct integration, integration with the change of variables, and by parts.
[1],[4]
0,4
10. Integration of simple rational fractions. Integration of rational fractions.
[1],[4]
0,4
11. Integration of expressions containing trigonometric functions. Integration of irrational functions.
[1],[4]
0,4
12. The definite integral. Problems leading to the definite integral. The Newton-Leibniz.
[1],[4]
0,4
13. Applications to the computation of the integrals of plane figures areas. Calculation the arc length, the amount of body rotation. The improper integral.
[1],[4]
0,4
14. Complex numbers. Complex numbers in trigonometric and exponential form.
[1],[4]
0,4
Total
List of practical tasks
The name of the theme
hours
Literature
Current control, points
1. Determinants and their properties. Matrix. The inverse matrix. Systems of linear equations.
[1], [3], [6]
0,4
2. The simplest problem of analytic geometry. Equations of a straight line on a plane.
[2], [4], [5]
0,4
3. Vectors. Simple operations with vectors. The scalar, vector and mixed product of vectors.
[2], [4], [5]
0,4
4. The curves of the second order. The circle, ellipse, parabola.
[3], [4], [5]
0,4
5. Function. Methods of doing functions. The limit function. Fundamental theorems on limits. Infinitely small and infinitely large quantities. The ends.
[1], [3], [4]
0,4
6. The derivative of the function. Geometric and mechanical meaning. Table of derivatives. The differential of a function. Derivatives of complex functions.
8. Investigation of the function. Extremum of the function. Necessary and sufficient conditions for the existence of an extremum. Convexity, concavity and inflection points. Assimptoty.
[1], [3], [4]
0,4
9. Primitive. Indefinite integral and its properties. Table of integrals. Direct integration, integration with the change of variables, and by parts.
[1], [3], [4]
0,4
10. Integration of simple rational fractions. Integration of rational fractions.
[1], [3], [4]
0,4
11. Integration of expressions containing trigonometric functions. Integration of irrational functions.
[1], [3], [4]
0,4
12. The definite integral. Problems leading to the definite integral. The Newton-Leibniz.
[1], [3], [4]
0,4
13. Calculation the area of plane figures using the definite integral.
[1], [3], [4]
0,4
14. Calculation the arc length, the amount of body rotation. The improper integral.
[1], [3], [4]
0,4
15. Complex numbers. Complex numbers in trigonometric and exponential form.
