(in Polish) Mathematical Analysis 1 510-IS1-1AM1-25-ENG
Course profile: General Academic
Form of study: Full-time studies
Course type: Obligatory
Field of science: natural sciences,
Discipline of science: mathematics
Year/semester of study: year 1/semester 1
Prerequisites: -
Lecture: 30 hours, Exercises classes: 45 hours
Teaching methods: lectures, exercises, consultations, literature study, homework
ECTS credits: 6
Balance of student workload:
Class attendance:
- lecture 30 hours
- exercises classes 45 hours
Course preparation:
- lecture 5 hours
- exercises 10 hours
Literature study: 5 hours
Reports, homework: 15 hours
Preparation for tests: 15 hours
Preparation for the exam: 8 hours
Exam duration: 4 hours
Individual consultation with the teacher: 6 hours
Student workload:
Direct interaction with the teacher: 85 hours, 3.7 ECTS
Student's work without the participation of a teacher: 58 hours, 2.3 ECTS
Prerequisites (description)
Course coordinators
Learning outcomes
Knowledge
1. Demonstrates basic knowledge of sets, real numbers, and functions of one variable - KP6_WG1.
2. Knows basic theorems concerning sequences and series - KP6_WG1.
3. Knows basic concepts, definitions, and theorems of differential calculus of functions of one variable - KP6_WG1.
Skills
1. Uses facts presented in lecture to calculate limits of sequences and investigate the convergence of series. KP6_UW2
2. Uses mathematical logic to describe and verify relationships involving elementary functions and is able to apply inductive and deductive reasoning. KP6_UW4
3. Knows limits of functions and checks for continuity - KP6_UW2.
4. Knows asymptotes of functions - KP6_UW2.
5. Knows extrema of functions of one variable - KP6_UW2, KP6_UW4. 6. Know how to apply l'Hospital's theorem - KP6_UW2.
7. Know how to calculate higher-order derivatives - KP6_UW2.
Assessment criteria
Exam.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: