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Course requirements Mathematics EP1

2018/19/1

Neptun id. : BMETE90AX33, [Credits: 4 (lecture 2 + practice 2), exam based]

Maximum allowed absence rate: 30%

Lecturer: Dr. A. Panahi (e-mail: Panahi@cs.bme.hu), Faculty Signature:

Midterm tests will be given:

Test Week Passing limit Topics Legal tools

# 1 6 30%

Real numbers. Elementary functions of 1 real variable.

Definition of derivative of functions of 1 real variable.

Derivation rules. Table of derivatives.

Applications of derivation. Tangent lines. Conditions for maximum, minimum, inflection points. Sketching the graph of functions. L’Hopital’s rule.

Asymptotes. Sketching the graphs of functions. Power series. Development of elementary functions into Maclaurin series. Calculation of values, limits of functions by power series.

Formula sheet

# 2 12 30%

Indefinite integral. Definition, elementary methods, rational expressions. Substitution.

Definite integral. Applications of integration (area, volume). Application of integration (separable, linear differential equations of the 1st order). Vectors, matrices.

Vector algebra, dot product. Sum, product of matrices.

Determinant of matrices. Cross product of vectors.

Formula sheet

To get the faculty signature each of the two midterm tests should be successful. You should reach at least 30 percent of the total points in both parts of the syllabus simultaneously.

Repeated Tests: both tests can be retaken at the end of the semester.

Signature Tests: finally to get the faculty signature there will be a Signature Test during the make up week. Those who fail here, can not get signature!

Grading system: at the end of the semester there will be written final exam (100 minutes) for 100 points.

To be successful students are expected to reach at least 40% (40 points) on the final exam. The final grade for the subject:

(0 - 39, failed); (40 – 54, passed); (55 – 69, satisfactory); (70 - 84, good); (85 – 100, excellent)

Topics:

Real numbers. Elementary functions of 1 real variable. Definition of derivative of functions of 1 real variable. Derivation rules. Table of derivatives. Applications of derivation. Tangent lines. Conditions for maximum, minimum, inflection points. Sketching the graph of functions. L’Hopital’s rule.

Asymptotes. Sketching the graphs of functions. Power series. Development of elementary functions into Maclaurin series. Calculation of values, limits of functions by power series. Indefinite integral.

Definition, elementary methods, rational expressions. Indefinite integral. Substitution. Definite integral. Applications of integration (area, volume). Application of integration (separable, linear differential equations of the 1st order). Vectors, matrices. Vector algebra, dot product. Sum, product of matrices. Determinant of matrices. Cross product of vectors.

___________________________________________________________________

Textbook: Thomas: Calculus, 11th edition, (International Edition), Addison Wesley

Hivatkozások

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