Weeks | Topics |
1 |
Komplex analysis: Komplex numbers; imaginary, real, rational, irrational, natural, integral and non-integral numbers.
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2 |
Derivatives (the definition, significance in physics) and application of derivatives.
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3 |
Integrals (simple definition, significance in physics), in-definite, definite integrals and integrals calculations.
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4 |
Analytic functions.
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5 |
Series 1. Binomial coefficisnts, binomial expansion. Some simple power series, Taylor and Maclauren series.
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6 |
Series and arrays (in general, properties), convergence tests.
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7 |
Midterm-exam.
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8 |
Introduction to differential equations 1. first-order differential equations.
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9 |
Vertor analysis and its applications in physics.
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10 |
Matrices, determinants and linear system of equations.
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11 |
Matrix operations.
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12 |
Definition of eigen-value, eigen-vectors and their calculations.
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13 |
Usage of Mathematica programming language for solution of a mathematical problem.
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14 |
Final Exam
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