Math103BKK
Calculus 1
Faculty
Artem Sokolov
Senior Software Engineer at Unbiased
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Calculus is a way of thinking about change. In this course, we start with real questions - how fast is something moving, how much space does it cover, and what’s the best possible outcome? - and let the mathematics grow out of them. By the end, students will be comfortable using derivatives and integrals to understand and solve real problems, not just recite rules.
Learning highlights
- Understand what a derivative and an integral actually mean, not just how to compute them.
- Learn to recognise when a real-world problem is a calculus problem in disguise.
- Build confidence in solving optimisation and rate problems.
- See how differentiation and integration are two sides of the same coin.
Course outline
15 classes
Session 1
Functions, domain/range, behaviour at infinity
Session 2
Intuitive limits — numerical & graphical
Session 3
Limit laws, continuity
Session 4
The derivative as a rate of change
Session 5
The derivative as a limit; geometric interpretation
Session 6
Differentiation rules (power, product, quotient)
Session 7
Chain rule; implicit differentiation
Session 8
Applications: related rates
Session 9
Applications: extrema, critical points, and optimisation
Session 10
Indefinite integrals; antiderivatives; substitution
Session 11
Integration by parts
Session 12
Trig integrals; basic partial fractions
Session 13
Definite integrals; Riemann sums; Fundamental Theorem of Calculus
Session 14
Applications of integration; course synthesis
Session 15
Final exam
Prerequisites
Comfort with algebra, functions, and graphs from high school.
Methodology
Each class combines explanation with practice, so ideas are applied straight away rather than simply accumulating. New topics begin with a concrete example rather than a definition. Weekly homework and short daily quizzes reinforce learning throughout the course, which concludes with a final exam.
Grading
Apply for this course
Calculus 1
by Artem Sokolov
Total hours
45 Hours
Dates
Sep 28 - Oct 16, 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
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