Algebra
| Structure Type: | Course |
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| Code: | KC32AR00101 |
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| Type: | Compulsory |
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| Level: | Bachelor |
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| Credits: | 3.0 points |
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| Responsible Teacher: | Paananen, Juhani |
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| Language of Instruction: | Finnish |
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Learning Outcomes
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of formulae by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and pairs of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Student's Workload
Total work load of the course: 80 h
- of which scheduled studies: 48 h
- of which autonomous studies: 32 h
Prerequisites / Recommended Optional Courses
No prerequisites
Contents
Arithmetic:
• Representation of real numbers, calculations and order of operations
• Approximations and precision
Algebraic expressions:
• mathematical expression and its value
• Extended concept of exponentiation
• Calculation rules for exponentation and roots
• Polynomials
Algebraic equations:
• First and second degree equations and how to solve them
• Linear pairs of equations and how to solve them
• Direct and inverse proportionality
• Proportional with regard to power and root
• Linear interpolation
Function and its graph
• Graphs of first and second degree polynomial functions
• Fractional functions and their graphs
Recommended or Required Reading
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Mode of Delivery / Planned Learning Activities and Teaching Methods
Lectures, calculations and assignments
Assessment Criteria
excellent (5): student understands and is able to apply the methods of algebra excellently
good (3-4): student understands and is able to apply the methods of algebra well
satisfactory (1-2): students understands the basics of algebra
Assessment Methods
Final examination, assessment 0-5
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