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| MATH0068-1 | General mathemactics, part 1
- Algebra and geometry
- Analysis 1 : differential calculus
- Analysis 2 : integral calculus
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| Duration : | Algebra and geometry : 20h Th, 30h Pr
Analysis 1 : differential calculus : 20h Th, 18h Pr
Analysis 2 : integral calculus : 14h Th, 18h Pr
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| Number of credits : |
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| Lecturer : | Algebra and geometry : Catherine Charles
Analysis 1 : differential calculus : Catherine Charles
Analysis 2 : integral calculus : Catherine Charles
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| Coordinator : | Catherine Charles |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| All year long |
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Course contents :
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 | | Algebra and geometry |
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- Vector algebra
- Straight lines and planes
- Lines and surfaces
- Real vector spaces
- Matrix algebra
- Systems of linear equations
- Coordinates convertion
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| | Analysis 1 : differential calculus |
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- Numbers and function
- Limits and continuity
- Derivatives and applications
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| | Analysis 2 : integral calculus |
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- Integrals and applications
- Series
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Learning outcomes of the course :
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| | Algebra and geometry |
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| To provide basics in mathematics to students majoring in bioengineering, with initiation to the main algebric et geometric tools and their applications in problem analysis and solution.
After completing the course, the student is expected to
- to give the equations (parametric, cartesian, polar, spheric) of straight lines, planes, lines and surfaces
- to solve systems of linear equations via matrix
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| | Analysis 1 : differential calculus |
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| To provide basics in mathematics to students majoring in bioengineering, with initiation to the main tools of differential calculus (one variable) and their applications in problem analysis and solution.
After completing the course, the student is expected to apply differential calculus (one variable) to function study and numerical calculus. |
| | Analysis 2 : integral calculus |
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| To provide basics in mathematics to students majoring in bioengineering, with initiation to the main tools of integral calculus (one variable) and their applications in problem analysis and solution.
After completing the course, the student is expected to
- to apply integral calculus (one variable) to area and volume
- to analyse the convergence of a serie.
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Prerequisites and co-requisites/ Recommended optional programme components :
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| | Algebra and geometry |
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| Algebra, trigonometry and geometry of Belgian secundary schools with 4 hours/week in mathematics |
| | Analysis 1 : differential calculus |
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| Differential calculus of Belgian secundary schools with 4 hours/week in mathematics |
| | Analysis 2 : integral calculus |
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| Integral calculus of Belgian secundary schools with 4 hours/week in mathematics |
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Planned learning activities and teaching methods :
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| | Algebra and geometry |
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| Lectures : 20h
Practical Works : 30h |
| | Analysis 1 : differential calculus |
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| Lectures : 20h
Practical Works : 18h |
| | Analysis 2 : integral calculus |
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| Lectures : 14h
Practical Works : 18h |
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Mode of delivery (face-to-face ; distance-learning) :
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| | Algebra and geometry |
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| Face-to-face |
| | Analysis 1 : differential calculus |
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| Face-to-face |
| | Analysis 2 : integral calculus |
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| Face-to-face |
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Recommended or required readings :
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| | Algebra and geometry |
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| Course notes. |
| | Analysis 1 : differential calculus |
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| Course notes. |
| | Analysis 2 : integral calculus |
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| Course notes. |
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Assessment methods and criteria :
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| | Algebra and geometry |
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- Written examination related to practical works (60%)
- Oral examination related to lectures (35%)
- Personal report during the academic year (5%)
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| | Analysis 1 : differential calculus |
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- Written examination related to practical works (60%)
- Oral examination related to lectures (35%)
- Personal report during the academic year (5%)
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| | Analysis 2 : integral calculus |
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- Written examination related to practical works (60%)
- Oral examination related to lectures (35%)
- Personal report during the academic year (5%)
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| | Algebra and geometry |
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| Charles, Catherine (Chargée de cours)
GxABT/SIMa
081 62 24 53
C.Charles@ulg.ac.be |
| | Analysis 1 : differential calculus |
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| Charles, Catherine (Chargée de cours)
GxABT/SIMa
081 62 24 53
C.Charles@ulg.ac.be |
| | Analysis 2 : integral calculus |
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| Charles, Catherine (Chargée de cours)
GxABT/SIMa
081 62 24 53
C.Charles@ulg.ac.be |
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