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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
in reality. + Skills and abilities to aim for : Applying integral knowledge to solve practical problems such as calculating the area of a plane figure, calculating the area and volume of a solid of revolution, calculating the length of an arc; Developing teamwork skills, self-reliance skills study, | - Project implementation + Theoretical research on integration *Math problem - Definition and properties of integral *Integration methods + Practical research: practical problems related to integration such as problems calculating area, calculating area and volume of solids of revolution, arc length, ... + Product completion: Groups complete products under the supervision of lecturers to see if they are suitable for project goals and ensure progress is not lost so that timely adjustments can be made. - Reporting results: lecturers and students prepare facilities to report to the class. Groups send representatives to report and present their products to the class. - Evaluate: + Self-assessment groups + Evaluation and comment groups | rational, irrational, trigonometric (3) Some practical problems apply integral knowledge to solve such as problems calculating the area of a plane figure, calculating the area and volume of a solid of revolution, arc length, ... |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
Information gathering and processing skills, knowledge connection, communication skills, presentation, management, evaluation price,... | mutual + Lecturers evaluate the product, learning attitude, and results achieved after the project. + Groups complete products according to comments from lecturers and other groups. | |||
6 | Research on structure and costs business production | +Knowledge : Grasp the concepts of multivariable functions, extreme values, extreme values of multivariable functions, know how to find extreme values; understand the meaning of extreme values in reality. | - Project construction: Day 1: Arrange for students to experience at a manufacturing enterprise (with two types of products). Day 2: Activities at school, lecturers and students determine the project name, determine the project's goals, and divide into groups to implement. - Implementation plan In each group, discuss to determine the project's goals and products, assign tasks to each member, agree on implementation methods and completion time. After reporting, the groups listened. | - Project name -Project implementation plan Product: (1) Summary table of theoretical system (2) Know the methods and ways to find the extrema of a function many variables |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
+ Skills and abilities to aim for : Applying knowledge of multi-variable function extrema to solve practical problems; developing and perfecting skills such as teamwork skills, self-study skills, information collection and processing skills, knowledge connection, and communication skills. communication | comments and suggestions from the lecturer, discuss together and come up with a revised plan - Project implementation + Theoretical research on multivariable function extrema + Practical research: practical problems related to extreme values such as production structure problems, production cost problems + Finished product: The product is a way to formulate a problem and a method to find free and conditional extrema of a function of two variables. The product is a number of practical problems that apply extreme knowledge to solve. - Reporting results: lecturers and students prepare facilities to report to the class. Groups send representatives to report and present their products to the class. - Evaluate: + Self-assessment groups | (3) Some practical problems and applying extreme knowledge to solve them such as problems about production structure and production cost problems. |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
communication, presentation, management, assessment skills,... | + Groups evaluate and comment on each other + Lecturers evaluate the product, learning attitude, and results achieved after the project. + Each group completes the product products according to comments and suggestions from lecturers and other groups. | |||
7 | Determine volume, surface area, center of gravity, mass of object | +Knowledge : Understand the definition, construction, properties and know how to calculate integrals of multiples of 2 and 3. + Skills and abilities to aim for : Understand and apply knowledge about integral | - Project development: lecturers and students determine the project name, determine the project's objectives, and divide into groups to implement the project. - Implementation plan In each group, discuss to determine the project's goals and products, assign tasks to each member, agree on implementation methods and completion time. After reporting, the groups listen to comments and suggestions from the lecturer, discuss together and come up with a revised plan. - Project implementation: + Theoretical research on multiple integrals: | - Project name -Project implementation plan Products: (1)Summary of theoretical system (2)Know how to calculate integrals of multiples of 2 and 3. (3) Some problems reality |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
multiples to solve practical problems; organize groups and operate effectively in groups, practice self-study skills, information gathering and processing skills, knowledge connection, communication skills, presentation skills, management skills,... | * Problem-Definition of 2nd and 3rd integrals * Method of calculating multiple integrals in Cartesian coordinate system.. * Transform variables in Cartesian coordinate system and polar coordinate system + Practical research: practical problems related to multiple integrals such as: calculating the volume of an object; calculating the area of a plane figure; calculating the area of a curved surface; calculating the coordinates of the center of gravity of an object; calculating the mass of a non-homogeneous plane plate, the volume of an object; calculating the mass of an object; calculating the moment of inertia of a non-homogeneous plane plate. + Product completion: Groups complete products according to plan: Summary of theoretical system on definition, calculation and application of multiple integral. Some practical problems applied Multiple integral knowledge to solve. | Use knowledge of 2nd and 3rd integrals to solve. |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
Calculate 2nd and 3rd integrals fluently. - Reporting results: students and lecturers prepare facilities to report to the class. Groups send representatives to report and present their products to the class. - Evaluate: + Self-assessment groups + Groups evaluate and comment on each other + Lecturers evaluate the product, learning attitude, and results achieved after the project. + Each group completes the product according to comments and suggestions. lecturers and other groups. | ||||
8 | Some applications of differential equations | +Knowledge : Grasp the concepts of differential equations, form | - Project development: the lecturer introduces some situations and problems such as heat change; problems about the decomposition of substances; problems about mixing solutions; problems about the variation of current and voltage in an inductor. Lecturer and student confirm | - Project name -Project implementation plan - Summary table of theoretical system - Know how |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
First and second order differential equations and their solutions prize . + Skills and abilities to aim for : Applying knowledge of differential equations to solve practical problems; Know how to organize groups and group activities, practice self-study skills, and collect and process information. information, | Name the project, define project objectives, and divide the project into teams. - Implementation plan In each group, discuss to determine the project's goals and products, assign tasks to each member, agree on implementation methods and completion time. After reporting, the groups listen to comments and suggestions from the lecturer, discuss together and come up with a revised plan. - Project implementation + Theoretical research on differential equations. + Practical research: practical problems related to differential equations such as: applications in heat transformation problems; problems on the decomposition of substances; problems on the mixing of solutions; problems on the variation of current and voltage in inductors. + Finished product: - Summary table of theoretical system | Solve first order differential equations and level 2. - Give some practical problems and apply knowledge of differential equations to solve them. |
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Project name | Target | Key activities for project implementation | Product to achieve Okay | |
Connecting knowledge, communication skills, presentation, management, evaluation, management... | - Some practical problems and applying knowledge of differential equations to solve them - Know how to solve differential equations - Reporting results: students and lecturers prepare facilities to report to the class. Groups send representatives to report and present their products to the class. - Evaluate: + Self-assessment groups + Groups evaluate and comment on each other + Lecturers evaluate the product, learning attitude, and results achieved after the project. + Based on comments from the instructor and other groups, each group edits and perfects the product. of our group. |
Example 2.1. Organizing a DHTDA for Mechanical Engineering students on the topic " Some applications of differential equations ".
1) Project objectives
* Knowledge
After completing this project, students will be able to: