Physics – Foundation Programme
Topics and conditions for the test #1 – part mathematics & SI
units.
Date: the 11th
November, 2024
Topics worth to review (+ reference to lecture number L#)
• Algebraic expressions
◦ simplification of AE (L2)
◦ order of operations (L1)
◦ expressions with integer exponents (L2) – operations, simplification
◦ prime factorization, the greatest common factor (GCF) and the least common multiple
(LCM) (L1 and L2)
• Solving equations (L3)
◦ linear equations
◦ system of linear equations
◦ quadratic equations
• Logarithms and exponential functions (L4)
◦ transformation between the exponential and the logarithmic form
◦ evaluation of logarithms using the change-of-base formula
• Scientific notation (L1 and L2)
◦ transformation between standard notation and scientific notation
• Significant digits and rounding (L1)
• Calculations with percents (L1)
• Trigonometric functions (L5)
◦ Finding values of trigonometric functions for a right triangle
◦ Determination of the amplitude and the period a trigonometric function
• Vectors (L6)
◦ Adding vectors by use of the Law of Cosines
◦ Determining components of vectors
◦ Resolving vectors
• System of units SI (L7)
◦ SI base units
◦ Expressing derived units using base units
◦ Prefixes for SI units
• Some assignments will be formulated via verbal form rather than via mathematical expressions.
Please, look at assignments involving
◦ work efficiency and mixing of solutions (L3);
◦ radioactive decay – half lifetime (L4)
◦ angle of elevation and depression (L5)
◦ distance from a starting point after an object/live being consecutively moves in two different
directions (the prospector in forest case, a crawling ant, etc.) (L6)
◦ Resolving force vector for an object on a ramp (L6)
Conditions
• 10 test questions with answer range “a – e” each (i.e. you choose one out of 5 options for each
question, only one answer being correct)
• Non-graphic calculators are allowed and strongly encouraged to be used during the test.
• Usage of any other electronic devices than a calculator is forbidden during the test.