﻿ MATH101 Calculus I | E-Campus

# MATH101 Calculus I

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:
10:00-12:00
Tuesday:
13:00-15:00
Wednesday:
13:00-15:00
Friday:
13:00-15:00
A F2.4
E-mail lmiller@ius.edu.ba
Assistant Erna Keskinovic Assistant E-mail 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, Anti-derivatives, Definite Integrals, and the Fundamental Theorem of Calculus. Applications of derivatives (to physical problems, related rates,maximum-minimum 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:
1. Recognize and graph basic polynomial, rational and trigonometric functions.
2. Compute basic limits and have an understanding of the formal definition.
3. Use all the rules for computing derivatives and be familiar with the definition of derivatives and tangent line.
4. Apply derivatives for finding maxima/minima of a function.
5. Apply derivatives to determine monotinicity and concavity and graph functions
6. 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 Mid-Term
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 