MSL - Algebra 1

COURSE MATERIALS

Lectures

Lecture 1 - Ratios and Conversion Factors - PDF
Lecture 2 - Percents
Lecture 3 - Proportions - PDF
Lecture 4 - Rate Problems
Lecture 5 - Arithmetic Sequences - PDF
Lecture 6 - Geometric Sequences
Lecture 7 - Prime Numbers - PDF
Lecture 8 - Congruence
Lecture 9 - Applications to Cryptography
Lecture 10 - The Euclidean Algorithm
Lecture 11 - Integer Representations

Homework

H1 :  6.1.5, 6.2.2, 6.2.5, 6.3.5, 6.3.6 - Ratios and Conversion Factors
H2 :  6.5.3, 6.5.4, 6.5.5, 6.5.6, 6.5.7 - Percents
H3 :  7.19, 7.21, 7.23, 7.26, 7.33 - Proportions
H4 :  7.4.3, 7.4.4, 7.4.5, 7.4.6, 7.4.7 - Rate Problems
H5 :  21.1.4, 21.1.5, 21.2.5, 21.2.6, 21.2.7 - Arithmetic Sequences
H6 :  21.3.1, 21.3.3, 21.3.4, 21.4.2, 21.4.4 - Geometric Sequences
H7 :  1, 3, 6, 7, 11 - Prime Numbers
H8 :  3, 4, 9, 14, 18 - Congruence
H9 :  1, 3, 5, 7, 9 - Introduction to Cryptography
H10 : Write a program to encrypt and decrypt messages with f(x) = ax + b
H11 : Find gcd(78946, 322) and gcd(75832, 659) by using the Euclidian 
Algorithm, write a program to find GCD and LCM of two numbers and three numbers, and write a program to convert from one base to another

Tests and Exam

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

RESULTS

Homework

NameH1H2H3H4H5H6H7H8H9H10H11Sum
André10998109106109930
Esther810810858.5786726
Iorgu3887.56.57868320
Nikolai
10586689016
Max.Poss.1010101010101010101010110

Tests and Exam

NameTest1Test2ExamT
(Test)
ExamE (Exercises)
André20202020
Esther12171610
Iorgu18201720
Nikolai8161817
Max.Poss.20202021

Percents of the Final Grade

NameHomeW*Test1Test2ExamTExamEClassP**Sum%
André3010102020912111100
Esther2668.5161010985.586
Iorgu209101720879191
Nikolai16481817998181
Max.Poss.30%10%10%20%21%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. Mathematical Circles, Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg, Universities Press 1998