(in Polish) Mathematical Analysis 2 420-IS1-1AM2-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 2
Prerequisites: -
Lecture: 30 hours, Exercises classes: 30 hours
Teaching methods: lectures, exercises, consultations, literature study, homework
ECTS credits: 6
Balance of student workload:
Class attendance:
- lecture 30 hours
- exercises classes 30 hours
Course preparation:
- lecture 5 hours
- exercises 30 hours
Literature study: 10 hours
Reports, homework: 5 hours
Preparation for tests: 25 hours
Preparation for the exam: 25 hours
Exam duration: 2 hours
Individual consultation with the teacher: 1 hours
Student workload:
Direct interaction with the teacher: 63 hours, 2 ECTS
Student's work without the participation of a teacher: 100 hours, 4 ECTS
Type of course
Mode
Prerequisites
Course coordinators
Learning outcomes
Knowledge:
1. The student knows the fundamental concepts, definitions and theorems of differential and integral calculus of functions of one variable - KA6_WG1.
2. The student knows the fundamental concepts of the theory of sequences and series of functions - KA6_WG1.
Skills:
3. The student can calculate the limits of functions and check the continuity of functions - KA6_UW2.
4. The student can find function asymptotes - KA6_UW2.
5. The student can find extremes of functions of one variable - KA6_UW2, KA6_UW4.
6. The student can apply l'Hospital's rule - KA6_UW2.
7. The student can calculate higher order derivatives - KA6_UW2.
8. The student can expand a function into a Taylor series - KA6_UW2.
9. The student can calculate simple integrals from rational, irrational and trigonometric functions - KA6_UW2, KA6_UW4.
Social competence:
10. The student knows the limitations of his own knowledge in the field of mathematical analysis and understands the need for further education in this area - KA6_UU1, KA6_KO1.
Assessment criteria
Exam.
Bibliography
Primary literature:
J.W. Burgmeier, M.B. Boisen, Jr., M.D. Larsen - Calculus with applications, New York : McGraw-Hill, 1990
O. Hijab - Introduction to calculus and classical analysis, New York : Springer, 1997
A. Himonas, A.Howard - Calculus: ideas and applications, New York : John Wiley & Sons, 2003
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: