Math009
Maths as a Second Language 2
Faculty
Ogabek Masharipov
Academic coordinator of Leagues of Code
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Mathematics is often worked on in isolation. Each student solves their own set of problems, but never communicates their process with others. In this course we will rely on working together to solve the problems and incorporate Mathematics as a language, where we learn to formulate problems, describe methodologies and present solutions.
We will together set the basic building blocks of higher mathematics and continue to build the fundamentals of Mathematical Analysis, the branch in mathematics invented in parallel by Sir Isaac Newton and Gottfried Wilhelm Leibniz.
Learning highlights
- You will learn to speak the mathematical language.
- You will present maths on the white board.
- You will create problems, and solve them together with the rest of the class.
Course outline
15 classes
Session 1
Intro
Session 2
Exponents intro and Variables & expressions. Proportional relationships. One-step and two-step equations & inequalities. Roots, exponents, & scientific notation.
Session 3
Multiply fractions. Divide fractions. Exponents and powers of ten. Add and subtract negative numbers. Multiply and divide negative numbers.
Session 4
Functions. Absolute value & piecewise functions. Exponents & radicals. Exponential growth & decay. Quadratics: Multiplying & factoring. Quadratic functions & equations. Irrational numbers.
Session 5
Polynomial arithmetic. Polynomial factorisation. Polynomial division. Polynomial graphs.
Session 6
Rational exponents and radicals. Exponential models. Logarithms. Transformations of functions. Equations. Modeling.
Session 7
Right triangles & trigonometry. Trigonometric functions. Non-right triangles & trigonometry.
Session 8
Composite and inverse functions. Complex numbers. Rational functions. Limits and continuity. Probability.
Session 9
Numbers. Rational and real numbers. Idea of infinity and infinitesimal quantities.
Session 10
Functions. Decartian plane. Plotting function graph. Selected properties of function.
Session 11
Polynomials, exponents, logarithms and trigonometric functions. Graphical representations. Fundamental identities.
Session 12
Complex numbers. Operations. Relation to trigonometric functions.
Session 13
Proving techniques and notation. Quantifiers. Proof of existence. Proof by contradiction. Proof by induction.
Session 14
Solving inequalities. Inequalities with trigonometric and exponential / logarithmic functions.
Session 15
Final Exam
Methodology
The lectures will be highly driven by student participation. I will ask students to come up to the whiteboard, and help write the mathematical problems and their solutions. The students will get Participation Points based on:
* Asking questions to me.
* Answering questions from me.
* Writing on the whiteboard in front of the class together with me.
We will finish the course with a Final Exam, which will only count for ¼ of the final grade and will be a good opportunity for the students to see what they have learned.
I will also drop exams on some days, but they will always be ungraded and only for self evaluation.
Grading
Ogabek graduated as an electronics engineer, driven by curiosity and a passion to build something of his own. It turned out that teaching is equally captivating, and IT projects can thrive in the classroom.
Ogabek began his career as a robotics teacher in a small village school before advancing to a state university level.
See full profileApply for this course
Maths as a Second Language 2
by Ogabek Masharipov
Total hours
45 Hours
Dates
Mar 16 - Apr 03, 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.