Math102BKK
Intro to Higher Math
Faculty Profiles
Giorgi Kurtanidze
Software Engineer at Autopilot
Irakli Kereleishvili
Software Engineer at Autopilot
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Mathematics is the language of science, engineering, and computing. While school mathematics focuses on computation and techniques, university mathematics emphasizes abstraction, logical reasoning, and mathematical proof.
This course bridges that transition by introducing the language and foundations of higher mathematics, including sets, functions, proof techniques, combinatorics, and elementary number theory. Students will develop the mathematical thinking and problem-solving skills needed for further study.
By the end of the course, students will be prepared for subsequent courses in calculus, linear algebra, discrete mathematics, graph theory, probability, and other mathematically intensive subjects.
Learning highlights
- Master essential concepts such as sets, functions, and their properties
- Develop proficiency in key proof techniques
- Build skills in combinatorics, elementary number theory, vectors, polynomials, and complex numbers
- Strengthen logical reasoning, abstraction, and clear mathematical communication
Course outline
15 classes
Session 1
Course overview and School math refresher
Session 2
Sets & set operations
Session 3
Functions
Trigonometric functions.
Session 4
Function families (polynomial, exp/log, trig)
Session 5
Theorem proving (direct, contrapositive, contradiction - disproof by counterexample)
Session 6
Mathematical induction
Session 7
Elementary combinatorics and binomial theorem
Session 8
Midterm
Session 9
GCD & divisibility
Session 10
Modular arithmetic
Session 11
Vectors (2D, magnitude, dot product, ℝⁿ)
Session 12
Polynomials
Session 13
Complex numbers (roots, FTA, Euler / De Moivre)
Estimate and example.
Session 14
Course recap, why math is important in the era of AI, and preparing for the exam
Session 15
Final exam
Prerequisites
There are no special prerequisites for this course. A solid background in high school mathematics is recommended.
Methodology
The course combines lectures, guided problem-solving, interactive discussions, individual practice, and collaborative group activities. Each session introduces new concepts through worked examples, followed by exercises designed to develop mathematical reasoning and problem-solving skills.
Active participation is an essential component of the course. Students will regularly discuss solution strategies, present and explain their reasoning, and work in groups to compare different approaches.
As mathematical proof is a central theme, students are expected to explain the reasoning behind their solutions rather than simply present final answers. This approach encourages the thoughtful and responsible use of AI tools. The ability to communicate and justify a solution clearly is considered an integral part of understanding the underlying mathematics.
Grading
Apply for this course
Intro to Higher Math
by Giorgi Kurtanidze, Irakli Kereleishvili
Total hours
45 Hours
Dates
Sep 07 - Sep 25, 2026
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
Complete the form below to kickstart your application
Schedule your Harbour.Space interview
If successful, get ready to join us on campus
FAQ
Will I receive a certificate after completion?
Yes. Upon completion of the course, you will receive a certificate signed by the director of the program your course belonged to.
Do I need a visa?
This depends on your case. Please check with the Spanish or Thai consulate in your country of residence about visa requirements. We will do our part to provide you with the necessary documents, such as the Certificate of Enrollment.
Can I get a discount?
Yes. The easiest way to enroll in a course at a discounted price is to register for multiple courses. Registering for multiple courses will reduce the cost per individual course. Please ask the Admissions Office for more information about the other kinds of discounts we offer and what you can do to receive one.