Foundation Course in Mathematics, 6 credits
Matematisk grundkurs, 6 hp
TATB03
Main field of study
Mathematics Applied MathematicsCourse level
First cycleCourse type
Programme courseExaminer
Jonas Bergman ÄrlebäckDirector of studies or equivalent
Jesper ThorénEducation components
Preliminary scheduled hours: 78 hRecommended self-study hours: 82 h
Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
---|---|---|---|---|---|---|---|
6ASIK | Asian Studies - Chinese | 1 (Autumn 2022) | - | Swedish | Linköping | C | |
6ASIJ | Asian Studies - Japanese | 1 (Autumn 2022) | - | Swedish | Linköping | C |
Main field of study
Mathematics, Applied MathematicsCourse level
First cycleAdvancement level
G1XCourse offered for
- Asian Studies - China
- Asian Studies - Japan
Intended learning outcomes
It is important that you acquire general mathematical accuracy and a stable foundation for your continued studies. After the course is completed you should be able to:
- read and comprehend mathematical texts.
- perform standard calculations with accuracy.
- handle calculations with algebraic expressions, inequalities and absolute values.
- solve polynomial equations and equations containing square roots.
- analyze how the concepts domain, range, injectivity and composition relate to particular functions.
- define and draw the graphs of the elementary functions: the natural logarithm, exponential-, power-, trigonometric- and inverse trigonometric functions.
- use and prove laws and formulas for the elementary functions.
- work with complex numbers in cartesian and polar form.
- define the complex exponential function and use and prove Euler's and deMoivre's formulas.
- solve problems concerning straight lines and circles in the plane.
- perform logical arguments
- work with geometric and arithmetic sums.
- check results and partial results in order to verify their correctness or reasonableness.
Course content
Algebraic expessions, inequalities, modulus, complex numbers. Solving equations. Functions and graphs. Definitions and properties of the elementary functions: natural logarithm, exponential function, power function, trigonometric functions and complex exponential function, arcus functions. The Euler formulas. Basic principles of logic. Different types of proof techniques. Coordinate systems in the plane. Polar coordinates. Lines and circles. The complex plane. Complex numbers in polar form. Inverse trigonometric functions.
Teaching and working methods
Problem classes, tutorials, and a few lectures.
Examination
TEN3 | Written examination | 4.5 credits | U, 3, 4, 5 |
TEN2 | Written examination | 3 credits | U, 3, 4, 5 |
TEN1 | Written examination | 1.5 credits | U, 3, 4, 5 |
UPG1 | Hand-in assignments | 1.5 credits | U, G |
Either TEN1 and TEN2, or the summary examination TEN3 is required. Grades are given based on the results from TEN1 and TEN2 or the result from TEN3. Attempts to improve grades are only allowed in TEN3.
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
About teaching and examination language
The teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows:
- If teaching language is “Swedish”, the course as a whole could be given in Swedish, or partly in English. Examination language is Swedish, but parts of the examination can be in English.
- If teaching language is “English”, the course as a whole is taught in English. Examination language is English.
- If teaching language is “Swedish/English”, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English depending on teaching language.
Other
The course is conducted in a manner where both men's and women's experience and knowledge are made visible and developed.
The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point.
If special circumstances prevail, the vice-chancellor may in a special decision specify the preconditions for temporary deviations from this course syllabus, and delegate the right to take such decisions.
Department
Matematiska institutionenCourse literature
Books
- G. Forsling, M. Neymark, Matematisk analys, en variabel Liber
Other
Code | Name | Scope | Grading scale |
---|---|---|---|
TEN3 | Written examination | 4.5 credits | U, 3, 4, 5 |
TEN2 | Written examination | 3 credits | U, 3, 4, 5 |
TEN1 | Written examination | 1.5 credits | U, 3, 4, 5 |
UPG1 | Hand-in assignments | 1.5 credits | U, G |
Either TEN1 and TEN2, or the summary examination TEN3 is required. Grades are given based on the results from TEN1 and TEN2 or the result from TEN3. Attempts to improve grades are only allowed in TEN3.
Books
Other
Note: The course matrix might contain more information in Swedish.
I | U | A | Modules | Comment | ||
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1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
1.1 Knowledge of underlying mathematics and science (G1X level) |
X
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X
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X
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TEN3
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1.2 Fundamental engineering knowledge (G1X level) |
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1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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1.5 Insight into current research and development work |
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2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
2.1 Analytical reasoning and problem solving |
X
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X
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X
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TEN3
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Bevis, matematisk problemlösning, rimlighetskontroll |
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2.2 Experimentation, investigation, and knowledge discovery |
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X
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X
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TEN3
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Bevis, matematisk problemlösning |
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2.3 System thinking |
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2.4 Attitudes, thought, and learning |
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X
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X
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TEN3
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Matematisk problemlösning, rimlighetskontroll |
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2.5 Ethics, equity, and other responsibilities |
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3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
3.1 Teamwork |
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3.2 Communications |
X
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X
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X
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TEN3
TEN2
TEN1
UPG1
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Skriftlig matematisk kommunikation |
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3.3 Communication in foreign languages |
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4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
4.1 External, societal, and environmental context |
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4.2 Enterprise and business context |
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4.3 Conceiving, system engineering and management |
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4.4 Designing |
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4.5 Implementing |
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4.6 Operating |
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5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
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5.2 Economic conditions for knowledge development |
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5.3 Identification of needs, structuring and planning of research or development projects |
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5.4 Execution of research or development projects |
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5.5 Presentation and evaluation of research or development projects |
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