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Mathematical analysis 1 (470-2110/02,04,06)
Winter term 2022
This semester all the lectures and instruction will be held in a regular manner, i.e., in person in an allocated classroom in FEI building.
- From students 80% of attendance of lectures and discussions is expected.
- Main source of information is the course page in LMS MOODLE
- The general official information about the course is to be red in IS EDISON
Hours of Instruction
| Day | Time | Room | |
|---|---|---|---|
| Lecture | Thursday | 8:00 - 10:15 | EB130 |
| Seminar | Thursday | 10:45 - 12:15 | EB130 |
Office Hours
| Day | Time | Room |
|---|---|---|
| Monday | 9:45 - 10:45 | EA 533 |
Also at different times, after previous per-email agreement.
If you have questions related to the content of the course, the best way to contact me is through email.
tereza.kovarova@vsb.cz
I will try to respond as soon as possible, however allow at least two days to get impatient.
| In case of need of in person consultation you can find me in my office during the Office Hours in the building of FEI. |
| office room EA533, tel: 59 732 5870 |
Course Content
In the first part of the course, there are fundamental properties of the set of real numbers mentioned. Further, basic properties of elementary functions are recalled. Then, limit of a sequence, limit of a function, and continuity of a function are defined and their basic properties are studied. Differential and integral calculus of one-variable real functions is essence of this course.
Study Topics- Real Number System.
- Real Functions of a Single Real Variable.
- Elementary Functions.
- Sequences of Real Numbers.
- Limit and Continuity of a Function.
- Differential and Derivative of a Function.
- Basic Theorems of Differential Calculus.
- Function Behaviour.
- Approximation of a Function by a Polynomial.
- Antiderivative (Indefinite Integral).
- Riemann’s (Definite) Integral.
Study material
- Textbook by subject guarantor prof. J.Bouchala Mathematical Analysis I
- List of basic rules and formulas for differentiation
- Derivatives - Exercises with results
- Overview of basic functions
Recommended textbook
- J. Stewart: Calculus, Belmont, California, Brooks/Cole Pub. Comp. 2012 (Seventh Edition)
Sets of problems to exercise
- Problems similar to those that will appear on semester tests:
TestEx-1 TestEx-2 TestEx-3 TestEx-4 TestEx-5 TestEx-6 TestEx-7
Semester Credit
Lectures and Seminars
For information go to LMS MOODLE.Final-Exam Dates
Final exams are of the form of written tests. You will get more detailed information by email.Sample Exam (2021): assignment, solution
You will need to sign up for the opened exam date in IS EDISON
The system will allow signing up for the exam only to those students who obtain the semester credit by the end of the semester.
| # | Date-dd.mm. | Room | Time |
|---|---|---|---|
| 1. | 13.12. 2022 | ?? | 9:00 |
| 2. | 04.01. 2023 | ?? | 9:00 |
| 3. | 09.01. 2023 | ?? | 9:00 |
| 4. | 19.01. 2023 | ?? | 9:00 |
| Upraveno: 30.01.2023 |