Mathematics 1, GKNB_MSTA001
Information
Tests:
Two tests during the semester: week 7 and week 13. Minimum level: 50% (average of the two tests).
If you don't reach it, you can write an extra test on week 14 which covers the material of Test 1 and Test 2.
If you are below 50% at this extra test, too, your semester is unsuccessful.
- Test 1: 21 October (Monday), 12:10-13:40, B102.
- Test 2: 4 December (Wednesday), 8:30-10:00, D207
Results
- Extra Test (if necessary): 11 December (Wednesday), 8:30-10:00, D207
Exam:
Written exam: simple theoretical questions and problem-solving. Grades vs. percentage:
| 0-49 |
1 (fail) |
| 50-59 |
2 (pass, satisfactory) |
| 60-74 |
3 (fair, average) |
| 75-84 |
4 (good) |
| 85-100 |
5 (excellent) |
Please find the referred materials at https://openstax.org/subjects/math
or download them from here:
Tables:
Weekly schedule and topics
Participation on lectures and practical is not obligatory but recommended.
Lectures
| Time |
Room |
Lecturer |
| Monday, 12:10-13:40 |
B102 |
István Harmati |
| Wednesday, 8:30-10:00 |
D207 |
István Harmati |
Practical
| Time |
Room |
Lecturer |
| Tuesday, 14:00-15:30 |
B-2 |
Nárcisz Kulcsár |
- Week 1: Complex numbers
- Complex numbers (Algebra & Trigonometry, Chapter 2.4, pages 111-118)
- Polar form of complex numbers (Algebra & Trigonometry, Chapter 10.5, pages 815-825)
- Week 2: Basic notions of functions 1
- Review of functions (Calculus 1, Chapter 1.1, pages 8-35)
- Basic classes of functions (Calculus 1, Chapter 1.2, pages 36-61)
- Trigonometric functions (Calculus 1, Chapter 1.3, pages 62-77)
- Week 3: Basic notions of functions 2
- Inverse functions (Calculus 1, Chapter 1.4, pages 78-95)
- Exponential and logarithmic functions (Calculus 1, Chapter 1.5, pages 96-116)
- Week 4: Limits (Calculus 1, Chapter 2, pages 123-212)
- The limit of a function (Calculus 1, Chapter 2.2, pages 135-159)
- Limit laws (Calculus 1, Chapter 2.3, pages 160-178)
- Continuity (Calculus 1, Chapter 2.4, pages 179-193)
- Precise definition of a limit (optional, not for exam or tests) (Calculus 1, Chapter 2.5, pages 194-207)
- Week 5: Derivatives (Calculus 1, Chapter 3, pages 213-286)
- Defining the derivative (Calculus 1, Chapter 3.1, pages 213-231)
- The derivative as a function (Calculus 1, Chapter 3.2, pages 232-246)
- Differentiation rules (Calculus 1, Chapter 3.3, pages 247-265)
- Derivatives of trigonometric functions (Calculus 1, Chapter 3.5, pages 277-286)
- Week 6: Derivatives (Calculus 1, Chapter 3, pages 287-)
- The chain rule (Calculus 1, Chapter 3.6, pages 287-298)
- Derivatives of inverse functions (Calculus 1, Chapter 3.7, pages 299-308)
- Implicit differentiation (Calculus 1, Chapter 3.8, pages 309-318)
- Derivatives of exponential and logarithmic functions (Calculus 1, Chapter 3.9, pages 319-333)
- Week 7: Test and rest:)
- Test 1: Monday, 21st October, 12:10, B102
- Wednesday, 23rd October: National Holiday (It commemorates the Revolution of 1956, when Hungarians rose up against the Soviet ruled communist system.
It also commemorates the ‘Day of the Republic’, as in 1989, after the fall of communism, Hungary was declared a republic on October 23rd.)
- Week 8: Applications of Derivatives 1
- Related rates (Calculus 1, Chapter 4.1, pages 341-353)
- Linear approximation and differentials (Calculus 1, Chapter 4.2, pages 354-365)
- Maxima and minima (Calculus 1, Chapter 4.3, pages 366-378)
- The mean value theorem (Calculus 1, Chapter 4.4, pages 379-390)
- Week 9: Applications of Derivatives 2
- Derivatives and shape of a graph (Calculus 1, Chapter 4.5, pages 390-406)
- Limits at infinity and asymptotes (Calculus 1, Chapter 4.6, pages 407-438)
- Wednesday, 6th November: no lecture due to World Robot Olympiad
- Week 10: Applications of Derivatives 3
- Monday, 11th November: no lecture due to World Robot Olympiad
- Applied optimization problems (Calculus 1, Chapter 4.7, pages 439-453)
- L'Hopital's rule (Calculus 1, Chapter 4.8, pages 454-471)
- Week 11: Applications of Derivatives 4
- Applied optimization problems (Calculus 1, Chapter 4.7, pages 439-453)
- Week 12: Integration 1
- Antiderivatives (Calculus 1, Chapter 4.10, pages 493-506)
- Approximating areas (Calculus 1, Chapter 5.1, pages 507-528)
- The definite integral (Calculus 1, Chapter 5.2, pages 529-548)
- The fundamental theorem of calculus (Calculus 1, Chapter 5.3, pages 549-565)
- Week 13: Integration 2
- Integration formulas and the net change theorem (Calculus 1, Chapter 5.4, pages 567-583)
- Substitution (Calculus 1, Chapter 5.5, pages 584-593)
- 4th Dec (Wednesday): Test 2
- Week 14: Integration 3
- Integrals involving exponential and logarithmic functions (Calculus 1, Chapter 5.6, pages 595-607)
- Integrals resulting in inverse trigonometric functions (Calculus 1, Chapter 5.7, pages 608-615)
- 11th Dec (Wednesday): Extra Test (if necessary)