MATH102 Calculus II
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| 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 | ||||||||
| Lecturer | Leila Miller | Office Hours / Room / Phone | Monday: 12:00-14:00 Tuesday: 11:00-12:00 Wednesday: 13:00-14:00 Thursday: 10:00-11:00 |
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| lmiller@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. |
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| Textbook | Main Text Book: University Calculus, Early Transcendentals (Pearson) | |||||||||
| Additional Literature |
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| Learning Outcomes | After successful completion of the course, the student will be able to: | |||||||||
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| Teaching Methods | Class lectures with lots of examples. Active tutorial sessions for engaged learning and continuous feedback on progress. Quizzes 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, Integration by parts, Trigonometric integrals | (Pearson) Chapter 8 | ||||||||
| Week 2 | Technique of Antidifferentiation: Trigonometric substitution, Partial fraction decomposition | Chapter 8 | ||||||||
| Week 3 | Hyperbolic function | Chapter 8 | ||||||||
| Week 4 | Improper integration | 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, Comparison test. | Chapter 9 | ||||||||
| Week 8 | Sequences and Series: Alternating series, The ratio and root tests. | Chapter 9 | ||||||||
| Week 9 | Sequences and Series: Power series and Taylor series (I) | Chapter 9 | ||||||||
| Week 10 | Sequences and Series: Power series and Taylor series (II) | Chapter 9 | ||||||||
| Week 11 | Parametric and polar curves. | Chapter 10 | ||||||||
| Week 12 | Vector valued functions(I) | Chapter 11 | ||||||||
| Week 13 | Vector valued functions (II) | Chapter 12 | ||||||||
| Week 14 | Functions of several variables | Chapter 13 | ||||||||
| Week 15 | Partial Derivatives | Chapter 13 | ||||||||
| Assessment Methods and Criteria | Evaluation Tool | Quantity | Weight | Alignment with LOs |
| Final Exam | 1 | 40 | ||
| Semester Evaluation Components | ||||
| Midterm exam | 1 | 30 | ||
| Quizzes and LAB | 3 | 30 | ||
| *** 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: 08/04/2024 | |||||||||