Maturitní ročník: Matematika



Mathematics in English

Hodinová dotace: jednoletý seminář – 2 hodiny týdně

Mathematics in English

Subject goals:

This course is for those who would like to know what mathematics is about, especially modern mathematics. Using visual and physical intuition we will slowly re-discover mathematics in English.

Course requirements & evaluation:

  • Individual project (⅓ of the final grade)
  • Small group project (⅓ of the final grade)
  • Active participation in seminars (⅓ of the final grade)
  • Home preparation is a must


Content:

učivo

  • 1. Mathematics fundamentals
    • By revisiting topics ranging from fractions and number lines to geometric shapes and area, you will reinforce the foundations of your mathematical knowledge and tune your vocabulary needed for the greater challenges in the second term.
    • Key concepts: algebraic expressions, arithmetic operators, divisibility, prime numbers, logic fundamentals. rates and ratios, sequences, variables, fractions, percents, area, volume, geometry
  • 2. Functions
    • We will deal with elementary functions and also look at some useful and some strange functions.
    • Key concepts: linear & quadratic functions, inverse functions, transforming functions, trigonometric functions, exponential functions
  • 3. Calculus
    • Calculus is the mathematical study of things that change: cars accelerating, planets moving around the sun, economies fluctuating. To study these changing quantities, a new set of tools - calculus - was developed in the 17th century, forever altering the course of mathematics and science. This course will take a bird's-eye view, using visual and physical intuition to present the major pillars of calculus: limits, derivatives, integrals, and infinite sums.
    • Key concepts: continuity, derivatives, geometric applications, extrema, limits, physics applications,, geometric series, infinite sums, integrals, limits, Riemann sums, science applications
  • 4. What is mathematics
    • Maths is about problem solving. It's about looking at patterns and predicting the future of those patterns, and it's about solving complex problems by using deductive reasoning to turn them into simple ones. We will discuss the necessity of exactness in mathematics and what it is all good for anyway.