MATH102 Calculus II

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Course Code Course Title Weekly Hours* ECTS Weekly Class Schedule
T P
Prerequisite It is a prerequisite to
Lecturer Seyednima Rabiei Office Hours / Room / Phone
Monday:
13:00-16:00
Tuesday:
13:00-16:00
Wednesday:
13:00-16:00
Friday:
13:00-16:00
A F2.4
E-mail nrabiei@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 (1.) Calculus, WILLIAM BRIGGS, LYLE COCHRAN, BERNARD GILLETT, ERIC SCHULZ. (2. ) Calculus, Ron Larson. (3. ) Calculus, JAMES STEWART.
Additional Literature
Learning Outcomes After successful  completion of the course, the student will be able to:
  1. Infinite Sequences and Series
  2. compute vector-valued functions and motion in space
  3. use partial derivatives
  4. perform multiple integrals
  5. model integration in vector fields
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.
Teaching Method Delivery Hybrid / blended Teaching Method Delivery Notes
WEEK TOPIC REFERENCE
Week 1 Techniques of Antidifferentiation: Substitution, Integration by parts, Trigonometric integrals
Week 2 Technique of Antidifferentiation: Trigonometric substitution, Partial fraction decomposition
Week 3 Hyperbolic function
Week 4 Improper integration
Week 5 Sequences and Series: Sequences
Week 6 Sequences and Series: Infinite series
Week 7 Sequences and Series: The divergence and Integral test, Comparison test.
Week 8 Sequences and Series: Alternating series, The ratio and root tests.
Week 9 Sequences and Series: Power series and Taylor series (I)
Week 10 Sequences and Series: Power series and Taylor series (II)
Week 11 Parametric and polar curves.
Week 12 Vector valued functions(I)
Week 13 Vector valued functions (II)
Week 14 Functions of several variables
Week 15 Partial Derivatives
Assessment Methods and Criteria Evaluation Tool Quantity Weight Alignment with LOs
Final Exam 1 30
Semester Evaluation Compenents
Midterm exam 1 31
Quizzes 4 40
***     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 =
*T= Teaching, P= Practice ECTS Credit =
Course Academic Quality Assurance: Semester Student Survey Last Update Date: 16/04/2021
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