Winter Semester 2012/13
Winter Semester 2013/14
Winter Semester 2014/15
Winter Semester 2015/16
Winter Semester 2016/17
Winter Semester 2017/18
Winter Semester 2018/19
Winter Semester 2023/24
Mathematics I N01308
Linear Algebra and Analytic Geometry
1. Complex numbers.
Calculus. Graphical representation. Solving equations. (2 hrs.)
2. Matrices and determinants.
Operations on matrices. Determinant property. Inverse matrix. . (2 hrs.)
3. Systems of linear equations. (2 hrs.)
Eigenvalues of a matrix
4. Vectors.
Definition. Products of: scalar, vector, mixed. (1 hr.)
5. Analytic Geometry in Space.
Plane and simple equations. The relative positions of points, lines and planes. (2 hrs.)
Matematical analysis
6. Sequences and infinite series AND FIGURES SERIES
Sequences. Monotonic seguences. convergence of a sequence. Number of e series over. Infinite series. (2 hrs.)
7. Analysis of the function of one variable
Properties of real functions. Inverse functions. Limits and continuity of functions. Derivative of the function at. Geometric interpretation of the derivative. Differentials and approximate calculations. The use of derivatives, the tangent to the curve, the slope, extremes of function, concave and convex functions. Test functions. (4 hrs.)
8. Indefinite integrals.
Primary functions, indefinite integrals. Basic methods of integration. (3 hrs.)
9. Integrals
Definition. Property. Calculation. The upper limit of integration. The average value of the function. Improper integrals. (2 hrs.)
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Term 2012Z:
Linear Algebra and Analytic Geometry 2. Matrices and determinants. 3. Systems of linear equations. (2 hrs.) 4. Vectors. 5. Analytic Geometry in Space. Matematical analysis 7. Analysis of the function of one variable 8. Indefinite integrals. |
(in Polish) Rodzaj przedmiotu
Course coordinators
Term 2013Z: | Term 2016Z: | Term 2018Z: | Term 2012Z: |
Learning outcomes
- The ability to solve problems formulated in the form of algebraic descriptions;
- Knowledge of operations on complex numbers, vectors and matrices;
- Knowledge of differential and integral calculus of functions of one variable.
Assessment criteria
Teaching methods: lectures, tutorials.
The form and terms of credit: a written exam lecture-exercise-nine passes.
Rules for calculating the final grade: interest earned per semester or during the exam (in%) and rating:
0% - 49% - Fail
50% - 60% - good rating
61% - 70% - plus a good rating
71% - 80% - good rating
81% - 90% - good plus rating
91% - 100% - very good rating
Bibliography
B. Sikora, E. Łobos, A First Course in Calculus
Jerrold Marsden, Alan Weinstein, Calculus I
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Term 2012Z:
B. Sikora, E. Łobos, A First Course in Calculus Jerrold Marsden, Alan Weinstein, Calculus I |