Course requirements Mathematics EP2
2018/19/2
Neptun id. : BMETE90AX34, [Credits: 2, Midterm based]
Maximum allowed absence rate: 30%
Lecturer: Dr. A. Panahi (e-mail: Panahi@cs.bme.hu),
Midterm tests will be given:
Test Week Passing limit Topics Legal tools
# 1 6 30%
Complex numbers (definition, addition, multiplication, division …).
Ordinary differential equations of the second order, Reduction to 1st order equations.
Linear ordinary differential equations of the second order with constant coefficients.
Two dimensional linear systems with constant coefficients. Matrices. Eigenvalues, eigenvectors. Phase portraits.
Formula sheet
# 2 13 30%
Functions of two real variables. Level curves, partial, directional derivatives.
Local, global extrema of functions of two real variables.
Double integral (Cartesian, polar coordinates).
Application of double integrals.
Scalar fields, vector fields.
Formula sheet
Grading system:
There will be 2 mid-term tests each of 50 points. The mark will be calculated as sum of the tests. The planned dates of the midterm tests: March 13, May 8, 2018.
For the signature the minimal score of the midterm tests is 15-15. Make Up Test1 or Test2 May 15, 2018. The last possibility to obtain the mark will be in the week right after the semester (for extra fee):
May 22, 2018.
Final marks (sum of midterm tests): 0-39 fail (1), 40-54 pass (2), 55-69 satisfactory (3), 70-84 good (4), 85- (excellent (5).
Topics: Complex numbers (definition, addition, multiplication, division …). Ordinary differential equations of the second order, Reduction to 1st order equations. Linear ordinary differential equations of the second order with constant coefficients. Two dimensional linear systems with constant coefficients. Matrices. Eigenvalues, eigenvectors. Phase portraits. Functions of two real variables.
Level curves, partial, directional derivatives. Local, global extrema of functions of two real variables.
Double integral (Cartesian, polar coordinates). Application of double integrals. Scalar fields, vector fields.
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Textbook: Thomas: Calculus, 11th edition, (International Edition), Addison Wesley
