MATH101 Calculus I
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Course Code  Course Title  Weekly Hours*  ECTS  Weekly Class Schedule  
T  P  
MATH101  Calculus I  3  2  6  Monday 13.00  15.00, Wednesday 11.00  12.00  
Prerequisite  It is a prerequisite to  
Lecturer  Lejla Miller  Office Hours / Room / Phone  Monday: 10:0012:00 Tuesday: 13:0015:00 Wednesday: 13:0015:00 Friday: 13:0015:00 

lmiller@ius.edu.ba  
Assistant  Erna Keskinovic  Assistant Email  ekeskinovic@ius.edu.ba  
Course Objectives  This course covers topics from Differential Calculus with an introduction to Integral Calculus. The course studies Limit and Continuity of functions, the Intermediate Value Theorem, Derivatives, Differentiation rules, Rolle's Theorem and the Mean Value Theorem, Applications of Differentiation, Antiderivatives, Definite Integrals, and the Fundamental Theorem of Calculus. Applications of derivatives (to physical problems, related rates,maximumminimum word problems and curve sketching,) and of definite integrals (to some physical and geometric problems) are considered. After completing this course, students should have developed a clear understanding of the fundamental concepts of single variable calculus and a range of skills allowing them to work effectively with the concepts. The basic concepts are: 1. Derivatives as rates of change, computed as a limit of ratios 2. Integrals as a "sum," computed as a limit of Riemann sums After completing this course, students should demonstrate competency in the following skills: Understand the concept of a limit and continuity and determine limits of functions, both algebraic and transcendental. Compute and apply derivatives to real world problems. To utilize calculus techniques in order to analyze the properties and sketch graphs of functions. Understand both definite and indefinite integration, the Fundamental Theorem of Calculus and be able to apply some of the techniques for integrating functions to real world problems.  
Textbook  George B. thomas, Joel R. Hass, Christopher Heil, Maurice D. Weir. Thomas'calculus. James Stewart. Calculus. Ron Larson, Bruce Edwards. Calculus.  
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. Homeworks with more challenging or theoretical assignments.  
WEEK  TOPIC  REFERENCE  
Week 1  Review of some important Functions  
Week 2  Limits  
Week 3  Limits and Continuity  
Week 4  Differentiation  
Week 5  Differentiation  
Week 6  Differentiation  
Week 7  Differentiation  
Week 8  MidTerm  
Week 9  Applications of Derivatives  
Week 10  Applications of Derivatives  
Week 11  Integration  
Week 12  Integration  
Week 13  Applications of Definite Integrals  
Week 14  Applications of Definite Integrals  
Week 15  Review 
Assessment Methods and Criteria  Evaluation Tool  Quantity  Weight  Alignment with LOs  
Final Exam  1  40  
Semester Evaluation Compenents  
Midterm exam  1  36  
Quizes  4  24  
*** ECTS Credit Calculation *** 
Activity  Hours  Weeks  Student Workload Hours  Activity  Hours  Weeks  Student Workload Hours  
Lecture Hours  3  14  42  
Assignments  4  2  8  Assignments  4  2  8  
Active Tutorials  2  14  28  Home Study  3  14  42  
Home Study  3  14  42  Home Study  3  14  42  
Total Workload Hours =  150  
*T= Teaching, P= Practice  ECTS Credit =  6  
Course Academic Quality Assurance: Semester Student Survey  Last Update Date: 19/03/2020 
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