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    Paula
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    from18.19GBP/ h

    Mathematics from Primary School to University level (taught in English or Polish)

    I received my Bachelor’s and Master’s Degrees in Mathematics (specialization: financial mathematics) from Jagiellonian University, Krakow, Poland*. Following that, I gained over 3 years of experience as a data analyst in the financial and actuarial fields. Despite my corporate job, my passion for theoretical mathematics never faded, leading me to offer tutoring services after work. These new challenges helped me realize that I am destined for something else. Therefore, I didn’t hesitate to seize the opportunity to move to Sweden with my family in 2021. Since then, I have focused mostly on learning Swedish, exploring cultural peculiarities during my job at the post office, and occasionally giving math lessons as a private tutor online. I have completed several national courses in Swedish, with the latest being SVA 1, corresponding to level B2 (CEFR). Although I have never stopped working on improving my Swedish. More importantly, I have decided to follow my dreams and dedicate myself full-time to teaching math, becoming a self-employed private tutor in mathematics.

    Teaching math has been my passion since my Master's studies and, despite having a full-time job, it remained my spare time activity. Over these 8 years, I have gained experience in tutoring different kinds of students from primary school up to the master’s level. I strongly believe that anyone can become proficient in mathematics. I mostly like to work with people who struggle with math since such challenges inspire me to find distinctive ways of explaining mathematical concepts. Moreover, there is nothing more satisfying than seeing the progress of demanding students. In my tutoring experience, I have helped those falling behind in class and aided in exam preparation (e.g., Polish matura exam basic/advanced, Swedish högskoleprovet, mathematics exams during engineering/economy studies). Another form of my services is to provide solutions to specific sets of tasks with corresponding explanations of the material and issues. I offer regular classes as well as intensive short courses or one-off meetings, depending on what suits the students' needs best.
    I teach in English and Polish but can give it a try in Swedish as well (can speak Swedish but haven’t taught in Swedish as of now). Lessons are possible at my location, the student’s location, or online.

    Together, we can make the change!

    *All of the following are approved by The Swedish Council for Higher Education (UHR), and related documents can be provided for review if required.

    Location

    At student's location: Around Gothenburg, Sweden
    Online via webcam
    At teacher's location: Lantmätaregatan, Gothenburg, Sweden

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    General info

    Age:
    Infants (0-3 years old)
    Preschool children (4-6 years old)
    Children (7-12 years old)
    Teenagers (13-17 years old)
    Adults (18-64 years old)
    Seniors (65+ years old)
    Student level:
    Beginner
    Intermediate
    Advanced
    Duration:
    30 minutes
    45 minutes
    60 minutes
    90 minutes
    120 minutes
    The class is taught in:English, Polish, Swedish

    About Me

    Who am I?
    I hold a Master's degree in Mathematics from Jagiellonian University and have many years of experience in tutoring, both online and in-person. My students describe me as patient, with a knack for clear explanations and creating a positive learning environment.
    I run an educational company where I teach mathematics in Polish, English, and Swedish, both online and in Gothenburg, Sweden, where I currently reside. My company also creates and sells educational materials. I am in the process of obtaining a teaching license in Sweden, which will also allow me to work in Swedish schools.

    My Strengths
    When faced with a student’s lack of understanding, I don’t get frustrated; instead, I explore alternative approaches to help them grasp the material. I especially enjoy working with students who struggle with math, as it gives me the opportunity to identify and correct misconceptions, guiding them towards clear and intuitive understanding. I believe everyone can develop a solid intuition for math, and I won’t rest until they do, even in the most challenging cases.

    What I Offer
    I am passionate about helping students from elementary school to university levels:
    For elementary and high school students: Support with current material, catching up on missed content, and preparation for final exams, including retakes.
    For university students (math/science/engineering/economics): Assistance with problem sets, and preparation for tests and exams.

    I tailor my teaching methods to each student's way of thinking, offering lessons in Polish or English.

    My Approach to Math
    Teaching math has been my passion since my master's studies, where I learned to focus on clear, rational thinking and identifying errors in reasoning, which helps me guide others effectively.

    My mathematical interests include Real Functions: Differential and integral calculus (single and multiple variables), limits of sequences and functions, series convergence, function behavior (domain, monotonicity, extrema), continuity, and differentiability. Complex Functions: Holomorphic functions, complex number operations, Cauchy's integral formula. Stochastic ProcessesFunctional Analysis: Normed spaces, linear operators. Actuarial Mathematics, Macroeconomics, Linear Algebra: Linear transformations, systems of equations (Kronecker-Capelii theorem), vectors and eigenvalues, orthogonal bases, matrix diagonalization, determinants, and rank, Cayley-Hamilton theorem. n-th order differential equations.

    Education

    Jagiellonian University, Master degree in Financial Mathematics, 2015 - 2017
    Jagiellonian University, Bachelor degree in Mathematics in Economics, 2012 - 2015 (Krakow, Poland)

    Experience / Qualifications

    I have many years of experience in tutoring, both online and in-person. My students describe me as patient, with a knack for clear explanations and creating a positive learning environment. I run an educational company where I teach mathematics in Polish, English, and Swedish, both online and in Gothenburg, Sweden, where I currently reside. My company also creates and sells educational materials. I am in the process of obtaining a teaching license in Sweden, which will also allow me to work in Swedish schools. I also have 3+ years of experience in insurance risk analysis, which has strengthened my analytical and logical skills while expanding my knowledge in actuarial mathematics.

    Ask a question

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    Availability of a typical week

    (GMT -05:00) New York
    MonTueWedThuFriSatSun
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    4  Monday at 4:00  Tuesday at 4:00  Wednesday at 4:00  Thursday at 4:00  Friday at 4:00  Saturday at 4:00  Sunday at 4:00
    5  Monday at 5:00  Tuesday at 5:00  Wednesday at 5:00  Thursday at 5:00  Friday at 5:00  Saturday at 5:00  Sunday at 5:00
    6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
    7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
    8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
    9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
    10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
    11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
    12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
    13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
    14  Monday at 14:00  Tuesday at 14:00  Wednesday at 14:00  Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
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    from £18.19At teacher's location
    from £18.19Online via webcam
    from £21.06At student's home

    Good-fit Instructor Guarantee


    If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

    Online reputation

    • Instructor since November 2020
    • Phone number verified
    • Google connected
    • Linkedin connected

    Availability of a typical week

    (GMT -05:00) New York
    MonTueWedThuFriSatSun
    0              
    1              
    2              
    3  Monday at 3:00  Tuesday at 3:00  Wednesday at 3:00  Thursday at 3:00  Friday at 3:00  Saturday at 3:00  Sunday at 3:00
    4  Monday at 4:00  Tuesday at 4:00  Wednesday at 4:00  Thursday at 4:00  Friday at 4:00  Saturday at 4:00  Sunday at 4:00
    5  Monday at 5:00  Tuesday at 5:00  Wednesday at 5:00  Thursday at 5:00  Friday at 5:00  Saturday at 5:00  Sunday at 5:00
    6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
    7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
    8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
    9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
    10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
    11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
    12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
    13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
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    from £18.19At teacher's location
    from £18.19Online via webcam
    from £21.06At student's home

    Good-fit Instructor Guarantee


    If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

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