Highlands International School San Salvador
School year 2022-2023
Second semester
Study guide - 11th
The main objective of this study guide is for you to get ready for the final exam, topics to
evaluate:
1.
2.
3.
4.
Exponential functions.
5. Arithmetic and geometric
Compounded interest.
sequences.
Exponent and logarithmic laws.
6. Complex numbers.
Logaritmic and exponential
equations.
Instructions: for the topics from 1-3, they will appear on a multiple choice or F and V part, in
the following guide there are many topics to study, you should do at least one exercise by each
type of exercise.
Exponential function.
Highlands International School San Salvador
Compounded interest.
Highlands International School San Salvador
Exponent and logarithmic laws.
Highlands International School San Salvador
Logarithmic and exponential equations.
Highlands International School San Salvador
Arithmetic and geometric sequences.
Highlands International School San Salvador
Complex numbers
1. For each pair of complex numbers, solve the following operations, 𝑧 + 𝑤, 𝑧 − 𝑤, 𝑤 −
𝑤 𝑧
𝑧, 𝑤 × 𝑧, 𝑧 , 𝑤, and identify the real and imaginary part for 𝑤 and 𝑧, finally to each complex
number calculate the modulus.