| BML120 | Mathematics for Foundation Year, 15 ECTS credits. /Matematik för bastermin/ |
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Prel. scheduled
hours: 120 |
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Area of Education: Science Main field of studies: Other subjects |
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| Advancement level
(G1, G2, A): 0
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| Aim: The aim of the course is to give a foundation in mathematics that is suitable for further university studies in mathematics. After completing the course the student should be able to
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Upper Secondary School Mathematics, course C. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: The course contains three parts. The teaching takes place in groups of 30 students. The students homework, initiative and activity is of great importance. The course is runs over the entire spring semester |
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| Course contents: Algebraic calculations with both real and complex numbers. Equations, systems of equations and inequalities. Equations with square-roots. Absolute value and equations involving absolute value. Different representations of complex numbers, the formulas of de Moivre and Euler. Algebraic equations and the factor theorem. The unit circle, trigonometric functions, equations and curves. Theorems on triangles. The concept of function and the elementary functions. Powers and logarithms. Difference quotients and derivative. Limits.Differentiation of polynomials, powers and exponential functions with applications. Differentiation of trigonometric functions and the natural logarithm function. Differentiation of products, quotients and composite functions. Equations of tangent and normal. Examinations of functions and calculation of extremal values. Anti-derivatives and integrals with applications, e.g. calculation of areas and volumes. The general solution of first and second order differential equations with constant coefficients, their applications and the corresponding boundary value and initial value problems. |
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| Course literature: Björup, Körner m.fl.: Nya Delta kurs C, D och E. Gleerups förlag. |
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| Examination: | |||
| Written examination Written examination Written examination Assignments Assignments |
3 ECTS 4,5 ECTS 4,5 ECTS 1,5 ECTS 1,5 ECTS |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Göran Forsling Examiner: Gunilla Krysander Link to the course homepage at the department Course Syllabus in Swedish |
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