MATH102 Calculus II
MATH102 Calculus II
Syllabus | International University of Sarajevo - Last Update on Feb 02, 2026
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Faculty of Engineering and Natural Sciences
Hülya Gür
Course Lecturer
Course Objectives
The course aims to study volumes of rotation, integration techniques, partial derivatives and local extrema of two variable functions, double integrals, infinite sequences and series, convergence test for series, absolute and conditional convergence, and Taylor polynomials and power series.
Learning Outcomes
After successful completion of the course, the student will be able to:
Course Materials
Required Textbook
Main Text Book: University Calculus, Early Transcendentals (Pearson)
Additional Literature
Thomas Calculus 12th editionTeaching Methods
Class lectures with lots of examples
Active tutorial sessions for engaged learning and continuous feedback on progress
Homework with more challenging or theoretical assignments
Grading: In mathematics, the process how the result was derived is critical
It requires to be clear how you get to the result, and the process is what is graded
Course Policies: The following are the policies for this course: 1
Come to every lecture with a writing instrument and a notebook or paper
2
No mobile phone use, including text messaging or checking text message
Please turn your mobile off or keep it on silent
3
Laptops and other electronic devices are not allowed unless you have the instructor permission to use them for taking notes
4
English is to be the language of the classroom
5
All electronic communication in the course will be implemented through the university email or Teams
I will respond to your emails within 24-48 hours
If you have not received a reply within that time limit, please resend it
7
Be sure to pay close attention to deadlines
There will be no make up assignments or quizzes, or late work accepted without a serious and compelling reason and instructor approval
Attendance Policy 1
A minimum 70 percent class attendance in lectures and 80 percent attendance in other course components like tutorials, workshops, lab hours, and application classes are mandatory, regardless of reason for absence (medical or any other)
[Article 16, item 1]
2
Students who do not fulfill attendance requirements may be barred from taking the midterm and final examinations
[Article 16, item 2]
3
Exchange students are required to have at least 50 percent attendance in all course activities, regardless of reason for absence (medical or any other)
[Article 16, item 3]
4
A student who is barred to take examination due to absenteeism, will receive mark “N/A” for that course
[Article 16, item 4]
5
If a student misses one third or more of a class session, the student will be counted absent
Three tardies will count as one absence
Leaving early is the same as being tardy
6
If a student misses a class, it is THEIR responsibility to make up the material missed
Weekly Topics
| Week | Topic | Readings / References |
|---|---|---|
| 1 | Techniques of Antidifferentiation: Substitution, Exponential and logarithmic functions | (Pearson) Chapter 8 |
| 2 | Inverse trigonometric functions | Chapter 8 |
| 3 | Integration by parts | Chapter 8 |
| 4 | Trigonometric substitution, Partial fraction decomposition | Chapter 8 |
| 5 | Sequences and Series: Sequences | Chapter 9 |
| 6 | Sequences and Series: Infinite series | Chapter 9 |
| 7 | Sequences and Series: The divergence and Integral test | Chapter 9 |
| 8 | Midterm | Chapter 9 |
| 9 | Comaparison tests, ratio and root test | Chapter 9 |
| 10 | Alternating series, absolute and conditional convergence | Chapter 9 |
| 11 | Sequences and Series: Power series and Taylor series | Chapter 10 |
| 12 | Functions of several variables | Chapter 13 |
| 13 | Partial derivatives, second derivative test | Chapter 13 |
| 14 | Double integrals | Chapter 13 |
| 15 | Review | Chapter 13 |
Course Schedule (All Sections)
| Section | Type | Day 1 | Venue 1 | Day 2 | Venue 2 |
|---|---|---|---|---|---|
| MATH102.1 | Course | Tuesday 12:00 - 14:50 | A F2.14 - Amphitheater II | - | - |
| MATH102.2 | Course | Monday 09:00 - 11:50 | A F1.24 - Amphitheater I | - | - |
| MATH102.1 | Tutorial | Thursday 09:00 - 10:50 | B F2.17 | - | - |
| MATH102.2 | Tutorial | Wednesday 18:00 - 19:50 | A F1.11 | - | - |
| MATH102.3 | Tutorial | Wednesday 15:00 - 16:50 | B F2.6 | - | - |
| MATH102.4 | Tutorial | Wednesday 09:00 - 10:50 | A F1.26 | - | - |
| MATH102.5 | Tutorial | Wednesday 15:00 - 16:50 | A F1.17 | - | - |
Office Hours & Room
| Day | Time | Office | Notes |
|---|---|---|---|
| Monday | 12:00 - 14:50 | A F2.20 | |
| Wednesday | 12:00 - 14:50 | A F2.20 |
Assessment Methods and Criteria
Assessment Components
Final Exam
AI: Not AllowedAlignment with Learning Outcomes :
Midterm exam
AI: Not AllowedAlignment with Learning Outcomes :
Quizzes and Homework
AI: Not AllowedAlignment with Learning Outcomes :
IUS Grading System
| Grading Scale | IUS Grading System | IUS Coeff. | Letter (B&H) | Numerical (B&H) |
|---|---|---|---|---|
| 0 - 44 | F | 0 | F | 5 |
| 45 - 54 | E | 1 | ||
| 55 - 64 | C | 2 | E | 6 |
| 65 - 69 | C+ | 2.3 | D | 7 |
| 70 -74 | B- | 2.7 | ||
| 75 - 79 | B | 3 | C | 8 |
| 80 - 84 | B+ | 3.3 | ||
| 85 - 94 | A- | 3.7 | B | 9 |
| 95 - 100 | A | 4 | A | 10 |
Late Work Policy
Information about late submission policies will be shared during class and posted in this section. Please check back for official guidelines.
ECTS Credit Calculation
📚 Student Workload
This 6 ECTS credit course corresponds to 150 hours of total student workload, distributed as follows:
Lecture Hours
42 hours ⏳ (14 week × 3 h)
Active Tutorials
28 hours ⏳ (14 week × 2 h)
Home Study
42 hours ⏳ (14 week × 3 h)
Midterm Exam Study
12 hours ⏳ (1 week × 12 h)
Final Exam Study
16 hours ⏳ (1 week × 16 h)
6 hours ⏳ ( week × h)
4 hours ⏳ ( week × h)
150 Total Workload Hours
6 ECTS Credits
Course Policies
Academic Integrity
All work submitted must be your own. Plagiarism, cheating, or any form of academic dishonesty will result in disciplinary action according to university policies. When in doubt about citation practices, consult the instructor.
Attendance Policy
Students are expected to adhere to the attendance requirements as outlined in the International University of Sarajevo Study Rules and Regulations. Excessive absences, whether excused or unexcused, may impact academic performance and eligibility for assessment. Mandatory sessions (e.g., labs, workshops) require attendance unless formally exempted. For detailed policies on absences, documentation, and penalties, please refer to the official university regulations.
Technology & AI Policy
Laptops/tablets may be used for note-taking only during lectures. Phones should be silenced and put away during all class sessions. Audio/video recording requires prior permission from the instructor.
Artificial Intelligence (AI) Usage: The use of AI tools (e.g., ChatGPT, Copilot, Gemini) varies by assessment component. Please refer to the AI usage indicator next to each assessment item in the Assessment Methods and Criteria section above. Submitting AI-generated content as your own work, where AI is not explicitly allowed, constitutes an academic integrity violation.
Communication Policy
All course-related communication should occur through official university channels (institutional email or SIS). Emails should include [MATH102] in the subject line.
Academic Quality Assurance Policy
Course Academic Quality Assurance is achieved through Semester Student Survey. At the end of each academic year, the institution of higher education is obliged to evaluate work of the academic staff, or the success of realization of the curricula.
Learning Tips
Be prepared to contribute thoughtfully during class discussions, labs, or collaborative work. Active participation deepens understanding and encourages critical thinking.
Complete assigned readings or prep materials before class. Take notes, highlight key ideas, and jot down questions. Aim to grasp core concepts and their applications—not just facts.
Use course frameworks or methodologies to analyze problems, case studies, or projects. Begin early to allow time for reflection and refinement. Seek feedback to improve your work.
Don’t hesitate to reach out when something is unclear. Use office hours, discussion boards, or peer networks to clarify concepts and stay on track.
Syllabus Last Updated on Feb 02, 2026 | International University of Sarajevo
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Referencing Curricula Print this page
| Course Code | Course Title | Weekly Hours* | ECTS | Weekly Class Schedule | ||||||
| T | P | |||||||||
| MATH102 | Calculus II | 3 | 2 | 6 | ||||||
| Prerequisite | MATH101 | It is a prerequisite to | ENS201, ENS202, ENS211, MATH202 | |||||||
| Lecturer | Hülya Gür | Office Hours / Room / Phone | Monday: 12:00-14:50 Wednesday: 12:00-14:50 |
|||||||
| hgur@ius.edu.ba | ||||||||||
| Assistant | Student Demonstrators | Assistant E-mail | ||||||||
| Course Objectives | The course aims to study volumes of rotation, integration techniques, partial derivatives and local extrema of two variable functions, double integrals, infinite sequences and series, convergence test for series, absolute and conditional convergence, and Taylor polynomials and power series. |
|||||||||
| Textbook | Main Text Book: University Calculus, Early Transcendentals (Pearson) | |||||||||
| Additional Literature |
|
|||||||||
| Learning Outcomes | After successful completion of the course, the student will be able to: | |||||||||
|
||||||||||
| Teaching Methods | Class lectures with lots of examples. Active tutorial sessions for engaged learning and continuous feedback on progress. Homework with more challenging or theoretical assignments. Grading: In mathematics, the process how the result was derived is critical. It requires to be clear how you get to the result, and the process is what is graded . Course Policies: The following are the policies for this course: 1. Come to every lecture with a writing instrument and a notebook or paper. 2. No mobile phone use, including text messaging or checking text message. Please turn your mobile off or keep it on silent. 3. Laptops and other electronic devices are not allowed unless you have the instructor permission to use them for taking notes. 4. English is to be the language of the classroom. 5. All electronic communication in the course will be implemented through the university email or Teams. I will respond to your emails within 24-48 hours. If you have not received a reply within that time limit, please resend it. 7. Be sure to pay close attention to deadlines. There will be no make up assignments or quizzes, or late work accepted without a serious and compelling reason and instructor approval. Attendance Policy 1. A minimum 70 percent class attendance in lectures and 80 percent attendance in other course components like tutorials, workshops, lab hours, and application classes are mandatory, regardless of reason for absence (medical or any other). [Article 16, item 1]. 2. Students who do not fulfill attendance requirements may be barred from taking the midterm and final examinations. [Article 16, item 2]. 3. Exchange students are required to have at least 50 percent attendance in all course activities, regardless of reason for absence (medical or any other). [Article 16, item 3]. 4. A student who is barred to take examination due to absenteeism, will receive mark “N/A” for that course. [Article 16, item 4]. 5. If a student misses one third or more of a class session, the student will be counted absent. Three tardies will count as one absence. Leaving early is the same as being tardy. 6. If a student misses a class, it is THEIR responsibility to make up the material missed. | |||||||||
| Teaching Method Delivery | Face-to-face | Teaching Method Delivery Notes | ||||||||
| WEEK | TOPIC | REFERENCE | ||||||||
| Week 1 | Techniques of Antidifferentiation: Substitution, Exponential and logarithmic functions | (Pearson) Chapter 8 | ||||||||
| Week 2 | Inverse trigonometric functions | Chapter 8 | ||||||||
| Week 3 | Integration by parts | Chapter 8 | ||||||||
| Week 4 | Trigonometric substitution, Partial fraction decomposition | Chapter 8 | ||||||||
| Week 5 | Sequences and Series: Sequences | Chapter 9 | ||||||||
| Week 6 | Sequences and Series: Infinite series | Chapter 9 | ||||||||
| Week 7 | Sequences and Series: The divergence and Integral test | Chapter 9 | ||||||||
| Week 8 | Midterm | Chapter 9 | ||||||||
| Week 9 | Comaparison tests, ratio and root test | Chapter 9 | ||||||||
| Week 10 | Alternating series, absolute and conditional convergence | Chapter 9 | ||||||||
| Week 11 | Sequences and Series: Power series and Taylor series | Chapter 10 | ||||||||
| Week 12 | Functions of several variables | Chapter 13 | ||||||||
| Week 13 | Partial derivatives, second derivative test | Chapter 13 | ||||||||
| Week 14 | Double integrals | Chapter 13 | ||||||||
| Week 15 | Review | Chapter 13 | ||||||||
| Assessment Methods and Criteria | Evaluation Tool | Quantity | Weight | Alignment with LOs | AI Usage |
| Final Exam | 1 | 40 | Not Allowed | ||
| Semester Evaluation Components | |||||
| Midterm exam | 1 | 30 | Not Allowed | ||
| Quizzes and Homework | 3 | 30 | Not Allowed | ||
| *** ECTS Credit Calculation *** | |||||
| Activity | Hours | Weeks | Student Workload Hours | Activity | Hours | Weeks | Student Workload Hours | |||
| Lecture Hours | 3 | 14 | 42 | Active Tutorials | 2 | 14 | 28 | |||
| Home Study | 3 | 14 | 42 | Midterm Exam Study | 12 | 1 | 12 | |||
| Final Exam Study | 16 | 1 | 16 | 6 | ||||||
| 4 | ||||||||||
| Total Workload Hours = | 150 | |||||||||
| *T= Teaching, P= Practice | ECTS Credit = | 6 | ||||||||
| Course Academic Quality Assurance: Semester Student Survey | Last Update Date: 17/02/2026 | |||||||||