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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 

Email 
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: 
 Recognize and graph basic polynomial, rational and trigonometric functions.
 Compute basic limits and have an understanding of the formal definition.
 Use all the rules for computing derivatives and be familiar with the definition of derivatives and tangent line.
 Apply derivatives for finding maxima/minima of a function.
 Apply derivatives to determine monotinicity and concavity and graph functions
 Find basic anti derivatives and definite integrals

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 
Midterm Exam Study 
12 
1 
12 
Assignments 
4 
2 
8 
Final Exam Study 
16 
1 
16 
Active Tutorials 
2 
14 
28 
Quizzes 
1 
2 
2 
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: 21/02/2020 
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