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Basic Course in Mathematics (MATLC0020), 9 op
Basic information
| Course name: | Basic Course in Mathematics Basic Course in Mathematics |
| Course Winha code: | MATLC0020 |
| Kurre acronym: | Basic Math |
| Credits: | 9 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Autumn semester, 1.period, 2.period |
| Semester: | 0708 |
| Language of tuition: | English |
| Teacher: | Timo Salin |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Upper secondary school mathmematics (advanced course level) or a corresponding studies
Course contents (core content level)
Algebraic simplification rules, principles for solving linear and quadratic equations, graphs, exponential, logarithmic and trigonometric functions, basic operations on vectors, complex numbers and matrices, linear systems of equations, derivative as a rate of change, derivatives of simple functions.
Course contents (additional)
Numerical methods, analytic geometry in space, turning points and points of inflexion, functions of a complex variable, error estimates, limits, eigenvalues, complicated functions and expressions. The concept of integrals.
Core content level learning outcomes (knowledge and understanding)
After completion of this course the student is able to see the meaning of simple expressions and equations and can manipulate them. The student knows the basic functions and logarithmic units. The student is familiar with vectors, complex numbers and matrices and knows some of their applications. The student understands the concept of the derivative.
Core content level learning outcomes (skills)
After completion of this course the student is able to simplify and use simple formulas and solve simple equations. The student can transform complex numbers into different representations and do basic operations on vectors and matrices and use the inverse matrix to solve systems of linear equations. The student can differentiate simple functions.
Recommended reading
Croft ? Davison ? Hargreaves: Engineering Mathematics
Teaching and learning strategies
Lectures and presentations
laboratory assignments
examinations
homework and self-study
Teaching methods and student workload
Exam
Lectures and assignments
Self-study
Laboratory assignments
Assessment weighting and grading
Examinations (40 % of maximal points) and computer assignments
Related competences of the degree programme
Theoretical basis and mathematical and science skills