MATH102 Calculus II

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Course Code Course Title Weekly Hours* ECTS Weekly Class Schedule
T P
MATH102 Calculus II 3 3 6 Math 102.1 Mon 11-1, Wed 10-11 Math 102.2 Tue 9-11, Thu 9-10
Prerequisite MATH101 It is a prerequisite to
Lecturer Lejla Miller Office Hours / Room / Phone
Monday:
13:00-15:00
Tuesday:
11:00-12:00
Wednesday:
11:00-12:00
Thursday:
10:00-11:00
A F1.32
E-mail 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.
Textbook Thomas' Calculus, Twelvth Edition, Weir, Hass, Giordano
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.
WEEK TOPIC REFERENCE
Week 1 Volumes of solids by disk and washer method 6.1, 6.2.
Week 2 Volumes by shell method, derivatives and integrals of exponential functions 6.2, 6.3, 7.1
Week 3 Logarithmic functions, derivative, integrals. Inverse trigonometric functions 7.2, 7.3
Week 4 Inverse trigonometric functions, derivatives, integrals. Trigonometric integrals 7.7, 8.1
Week 5 Integration by parts 8.1, 8.2
Week 6 Integrals by partial fractions, Trigonometric integrals 8.3, 8.4
Week 7 Partial Derivatives, local extrema 14.1, 14.2, 14.7
Week 8 Review, Midterm exam
Week 9 Double integrals 15.1, 15.2
Week 10 Infinite sequences nad series 10.1, 10.2, 10.3
Week 11 Series, convergence tests 10.3, 10.4
Week 12 Alternating series, conditional and absolute convergernce 10.5, 10.6
Week 13 Power series, Taylor polynomials and series 10.7, 10.8
Week 14 Taylor and MacLaurin series 10.8
Week 15 Review
Assessment Methods and Criteria Evaluation Tool Quantity Weight Alignment with LOs
Final Exam 1 40
Semester Evaluation Compenents
Midterm exam 1 30
Quizzes 2 20
Homework Assignment 1 10
***     ECTS Credit Calculation     ***
 Activity Hours Weeks Student Workload Hours Activity Hours Weeks Student Workload Hours
Lecture Hours 3 14 42 Midterm Exam Study 12 1 12
Active Tutorials 2 14 28 Active Tutorials 2 14 28
Home Study 3 14 42 Quizzes 3 2 6
Midterm Exam Study 12 1 12 Midterm Exam Study 12 1 12
        Total Workload Hours = 150
*T= Teaching, P= Practice ECTS Credit = 6
Course Academic Quality Assurance: Semester Student Survey Last Update Date: 19/03/2020
QR Code for https://ecampus.ius.edu.ba/course/math101-calculus-i

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