BM20A6800 Mathematics II, 6 cr
Code 
BM20A6800 
Validity 
01.08.2017 

Name 
Mathematics II 
Abbreviation 
Mathematics II 
Credits  6 cr 


Type  Basic studies 
 
Class  Course 




Grading scale  Study modules 05,P/F 
 
Eligibility for postgraduate studies  no 


Allowed to study several times  no 
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 
34 
Teaching Language 
Finnish 
Teacher(s) in Charge 
Yliopistoopettaja, DI OlliPekka Hämäläinen Yliopistoopettaja, DI Juho Virpiranta Yliopistoopettaja, 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 
05, 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 exchangestudents? (Yes, number/No) 
No 
Places for Open University Students?(Yes, number/No) 
max 15 

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Upcoming exams