Basics of Mathematics
Barcelona

Lectures

Lecture 1 • Natural Numbers and Divisibility - PDF

Lecture 2 • The Division Algorithm

Lecture 3 • GCD and LCM

Lecture 4 • Integers and Rational Numbers - PDF

Lecture 5 • Real Numbers and Operations with them

Lecture 6 • Absolute Value - PDF

Lecture 7 • N-th Root and Rational Exponents - PDF

Lecture 8 • Rationalizing Denominators

Lecture 9 • Logarithms - PDF

Lecture 10 • Trigonometric Functions - PDF

Lecture 11 • Trigonometric Formulas

Lecture 12 • Properties of Functions - PDF

Lecture 13 • Graphs of Functions

Homework 1 • 3, 4, 10, 11, 13 - Section 7.1

Homework 2 • 1, 2, 3, 11, 14 - Section 7.3

Homework 3 • 1, 10, 12, 17, 24 - Section 7.6 - Extra

Homework 4 • 1, 2, 3, 4, 5 - Problems

Homework 5 • 1, 2, 3, 4, 5 - Problems

Homework 6 • 14, 22, 24, 26, 45 - Absolute Value

Homework 7 • 1, 2, 3, 4, 5 - Problems

Homework 8 • 1, 2, 3, 4, 5 - Problems

Homework 9 • 1, 2, 3, 4, 5 - Problems

Homework 10 • 6, 10, 16, 22, 30 - Trigonometric Functions

Homework 11 • 34, 36, 38, 40, 46 & 48 - Trigonometric Functions

Homework 12 • 8, 12, 16, 18, 20 - Functions

Homework 13 • 28, 32, 36, 44 & 46, 48 & 50 - Functions

* The percentage of your homework is calculated as the maximum percentage times the ratio of your score to the maximum score

** In-class participation takes into account your class attendance and involvement in the process

1. Discrete Mathematics, Gary Chartrand, Ping Zhang, Waveland Press 2011

2. Introduction to Algebra, Richard Rusczyk, The Art of Problem Solving 2007

3. Precalculus, Margaret L. Lial, John Hornsby, David I. Schneider, Callie J. Daniels, Pearson 2016

4. Mathematical Circles, Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg, Universities Press 1998

5. The Basics, Sandor Lehoczky and Richard Rusczyk, The Art of Problem Solving 2016