MATH204 Discrete Mathematics

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Course Code Course Title Weekly Hours* ECTS Weekly Class Schedule
T P
WED 15:00-17:50 // Classroom: A F2.3
Prerequisite It is a prerequisite to
Lecturer Office Hours / Room / Phone

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Assistant Assistant E-mail
Course Objectives This course covers the following topics:Basic operations on propositions, tautologies and properties of logic operations,valid arguments,basic axioms of sets, properties, cardinality of sets, countable and uncountable sets,functions and types of functions, Peano axioms of natural numbers, weak and strong mathematical induction, well-ordering principle,divisibility and primes, prime factorization, quotient-remainder theorem and techniques of proofs.
Textbook Discrete Mathematics with Applications, Fifth Edition, Susanna S. Epp, 2019.
Additional Literature
Learning Outcomes After successful  completion of the course, the student will be able to:
  1. simplify and decide truth values of propositions, check validity of arguments
  2. understand proofs of theorems and use basic proof techniques
  3. do proofs by mathematical induction
  4. perform operations on sets and understand functions
  5. solve basic counting problems involving combinations and permutations.
Teaching Methods Lectures and tutorials, weekly homework assignments
Teaching Method Delivery Teaching Method Delivery Notes
WEEK TOPIC REFERENCE
Week 1 Introduction to the Course
Week 2 Speaking Mathematically Chapter 1
Week 3 The Logic of Compound Statements Chapter 2
Week 4 The Logic of Quantified Statements Chapter 3
Week 5 Elementary Number Theory and Methods of Proof: Direct Proof and Counterexample Chapter 4
Week 6 Elementary Number Theory and Methods of Proof: Direct Proof and Counterexample Chapter 4
Week 7 MIDTERM
Week 8 Sequences, Mathematical Induction Chapter 5
Week 9 More on Induction, Strong Induction, Recursion Chapter 5
Week 10 Set Theory: Definitions, Properties, Proofs Chapter 6
Week 11 Properties of Functions: One to one , Onto functions, Composition Chapter 7
Week 12 Properties of Relations: Relations on Sets, Reflexivity, Symmetry, and Transitivity, Equivalence Relations Chapter 8
Week 13 More on Functions and Relations Chapter 7 - 8
Week 14 Problem Solving
Week 15 Review, Preparation for the Final Exam
Assessment Methods and Criteria Evaluation Tool Quantity Weight Alignment with LOs
Final Exam 1 30 1-5
Semester Evaluation Compenents
Mid-term 1 20 1,2
Homeworks 8 30 1-5
Quizzes 2 20 1-5
***     ECTS Credit Calculation     ***
 Activity Hours Weeks Student Workload Hours Activity Hours Weeks Student Workload Hours
Lecture Hours 3 15 45 Homeworks 5 8 40
Midterm Study 10 1 10 Final Exam Study 15 1 15
Quizzes 5 2 10 Home Study 2 15 30
        Total Workload Hours =
*T= Teaching, P= Practice ECTS Credit =
Course Academic Quality Assurance: Semester Student Survey Last Update Date: 15/02/2021
QR Code for https://ecampus.ius.edu.ba/syllabus/math204-discrete-mathematics

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