MSL - Basics of Mathematics

COURSE MATERIALS

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

H1 : 3, 4, 10, 11, 13 - Section 7.1
H2 : 1, 2, 3, 11, 14 - Section 7.3
H3 : 1, 10, 12, 17, 24 - Section 7.6 - Extra
H4 : 1, 2, 3, 4, 5 - Problems
H5 : 1, 2, 3, 4, 5 - Problems
H6 : 14, 22, 24, 26, 45 - Absolute Value
H7 : 1, 2, 3, 4, 5 - Problems
H8 : 1, 2, 3, 4, 5 - Problems
H9 : 1, 2, 3, 4, 5 - Problems
H10 : 6, 10, 16, 22, 30 - Trigonometric Functions
H11 : 31, 36, 38, 40, 46 & 48 -  Trigonometric Functions
H12 : 8, 12, 16, 18, 20 - Functions
H13 : 28, 32, 36, 44 & 46, 48 & 50 - Functions

Tests and Exam

Test 1 (PDF) - Answers (PDF)
Test 2 (PDF) - Answers (PDF)
ExamT (PDF) - Answers (PDF)
ExamE (PDF)

RESULTS

Homework

Name H1 H2 H3 H4 H5 H6 H7 H8 H9 H10 H11 H12 H13 Sum
André 1088.510
Dmitry 5678
Esther 667.54
Iorgu 76.595
Nathaniel 0456
Roham 11.546
Ruslan 3778
Max.Poss. 10 10 10 10 10 10 10 10 10 10 10 10 10 130

Tests and Exam

Name Test1 Test2 ExamT
(Test)
ExamE (Pbs)
André 19
Dmitry 13
Esther 12
Iorgu 15
Nathaniel 14
Roham 13
Ruslan 17
Max.Poss. 20 20 20 20

Percents of the Final Grade

Name HomeW* Test1 Test2 ExamT ExamE ClassP** Sum %
André
5
Dmitry
4
Esther
4
Iorgu
4
Nathaniel
1
Roham
3
Ruslan
4
Max.Poss. 30% 10% 10% 20% 20% 10% 100%

* 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

LITERATURE

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