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BM20A6800 Mathematics II, 6 cr 
Code BM20A6800  Validity 01.08.2017 -
Name Mathematics II  Abbreviation Mathematics II 
Credits6 cr   
TypeBasic studies  
ClassCourse   
  Grading scaleStudy modules 0-5,P/F 
  Eligibility for post-graduate studiesno
    Allowed to study several timesno
Organisation LUT School of Engineering Science 

Teachers
Name
Jouni Sampo 
Juho Virpiranta 

Description by Study Guide
Note 

Location: Lappeenranta

The course must be done and registered in two parts, 3 ECTS cr and 3 ECTS cr. It is not possible to complete the course at the extent of 6 ECTS cr.
Part A replaces courses BM20A5820 Integraalilaskenta ja sovellukset 3 ECTS cr and part B BM20A5830 Differentiaaliyhtälöiden peruskurssi 3 ECTS cr.

 
Year 

B.Sc. (Tech.) 1

 
Period 

3-4

 
Teaching Language 

Finnish

 
Teacher(s) in Charge 

Yliopisto-opettaja, DI Olli-Pekka Hämäläinen
Yliopisto-opettaja, DI Juho Virpiranta
Yliopisto-opettaja, TkT Jouni Sampo

 
Aims 

After course, student can use integrals and differential equations to model and solve simple problems. Student can make elementary calculations with complex numbers.

 
Contents 

PART A:
Integral calculus of one variable with applications: applying differentials, solids of revolution, length of curve, parametric curves and integration. Application examples from various fields.
PART B:
Complex numbers: basic calculus with complex numbers, complex plane, roots, Euler's formula. Differential equations: 1. order differential equations, 2. order linear differential equations, differential equation systems

 
Teaching Methods 

The course is carried out in two parts which are separate entries in the study register.
PART A:
Third period: Lectures 42 h, exercises 21 h. Preparation for exercises and lectures 14 h. Exam
3h. A total of 80 hours.
PART B:
Fourth period: Lectures 42 h, exercises 21 h. Preparation for exercises and lectures 14 h.
Exam 3h. A total of 80 hours.

 
Examination in Examination schedule (Yes/No) 

Yes

 
Examination in Moodle (Yes/No) 

No

 
Examination in Exam (Yes/No) 

No

 
Assessment scale and assessment methods 

0-5, exams 100 %. Each part will be graded separately and each must be passed.

 
Course Materials 

Study material will be informed and distributed through the Moodle portal.

 
Prerequisites 

Recommended BM20A6700 Matemathics I.

 
Places for exchange-students? (Yes, number/No) 

No

 
Places for Open University Students?(Yes, number/No) 

max 15

 


Current and upcoming courses
Functions Name Type cr Teacher Timing
  Mathematics II  COURSE  Olli-Pekka Hämäläinen,
Jouni Sampo,
Juho Virpiranta 
07.01.20 -17.04.20 -

Upcoming exams
No exams