Module/Course Title: Basic Math

Module course code

KOMS120101

Student Workload
119 hours

Credits

3 / 4.5 ETCS

Semester

1

Frequency

Odd Semester

Duration

16

1

Type of course

Core Study Courses

Contact hours


42.50 hours of face-to-face (theoretical) class activity

Independent Study


48.50 hours of independent activity
45 hours of structured activities

Class Size

30

2

Prerequisites for participation (if applicable)

-

3

Learning Outcomes

  1. Students can use mathematical and logical concepts that support the scientific fields of computer science
  2. Students can explain the concept of set theory
  3. Students can explain the concept of quadratic equations and functions
  4. Students can explain and solve problems with matrices
  5. Students can explain opportunities
  6. Students can demonstrate geometric transformations, arithmetic lines & series, along with geometric lines & series

4

Subject aims/Content

This course introduces students to a variety of basic mathematical concepts and techniques. Through a comprehensive exploration of a wide range of topics, including Sets, Relations & Functions, Mathematical Logic, Simple Probability, Matrices, Geometry Transformations, and Lines & Series, students will develop a solid foundation in mathematics. Students learn how to define sets, perform set operations such as joins and intersections, and understand concepts such as subsets and universal sets. Mathematical logic teaches students to reason and make inferences using logical principles. Students learn about propositional logic, including logical operators such as conjunction, disjunction, and negation, and how to construct truth tables to evaluate logical statements. In simple probability, students can explore the principles of probability, including sample spaces, events, and the basic rules of probability. Through real-world examples and practical exercises, students will learn how to calculate probabilities and make decisions based on the principles of probability theory. Furthermore, students study matrices and their operations, such as addition, subtraction, multiplication, and inverse. They will also explore the application of matrices in solving systems of linear equations and transforming geometric objects. Finally on geometric transformations, students learn to examine various types of transformations, including translations, rotations, reflections, and expansions. They will understand how these transformations affect the position, size, and shape of geometric figures, and learn to apply these concepts in problem-solving scenarios. Finally, this course covers lines and series, which are basic concepts in studying sequences and progressions. Students will explore arithmetic and geometric series, and learn to analyze their properties, such as differences and ratios. They will also investigate series, including finite and infinite series, and learn techniques for evaluating and summing series.

Study Material

Set

Set theory

Relations & Functions

Quadratic Equations and Functions

Mathematical logic

Mathematical logic

*there is not any

Basic probability

Matrix

Matrix

Geometry transform

Geometry Transform

Sequnce and series

Sequence and series

-

Mathematical logic

5

Teaching methods

Synchronous: face to face/online meeting

Asynchronous: Module delivery via elearning

6

Assesment Methods

Attendance and participation

7

This module/course is used in the following study programme/s as well

Computer Science Study Programme

8

Responsibility for module/course

  • Ni Wayan Marti, S.Kom., M.Kom
  • NIDN : 0028117701

9

Other Information

  1. Abramson, Jay. (2014). Precalculus. OpenStax. ISBN 9781938168871.
  2. Shores, Thomas S. (2018). "Matrix Analysis and Applied Linear Algebra", Pringer 
  3. Groeneveld, Richard A, (2020). An introduction to probability and statistics using BASIC. CRC Press
  4. Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho. (2021).  Concise Introduction to Logic and Set Theory (Mathematics and its Applications). CRC Press
  5. "Introduction to Functions", https://openstax.org/books/precalculus/pages/1-introduction-to-functions
  6. "Transformation". https://www.cuemath.com/geometry/transformations/