Notes for chapters 3, 4, and 5

20 Notes for the sixth week: digits, bases, and operations

20.1 Positional Numbers

20.2 Converting Between Bases

20.3 Operating on Numbers

20.4 Homework

21 Solutions for sixth week’s assignments

21.1 Problem set 3.1

21.2 Problem set 3.2

21.3 Problem set 3.3

21.4 Problem set 3.4

22 Notes for the seventh week: primes, factorization, and modular arithmetic

22.1 Divisibility

22.2 Primes

22.3 Factorization

22.4 Modular Arithmetic

22.5 Divisibility Rules

22.6 Homework

23 Solutions for seventh week’s assignments

23.1 Problem set 4.1

23.2 Two diagrams

23.3 Problem set 4.2

23.4 A familiar incomplete integer

24 Notes for the eighth week: GCD, LCM, and ax + by = c

24.1 Modular arithmetic

24.2 Divisibility rules

24.3 Greatest common divisor

24.4 Least common multiple

24.5 Euclidean GCD algorithm

24.6 Linear Diophantine equations

24.7 Homework

25 Solutions for eighth week’s assignments

25.1 Problem set 4.3

25.2 Computing GCDs

25.3 Computing LCMs

25.4 Linear Diophantine equations

26 Notes for the ninth week: ax + by = c, fractions

26.1 Linear Diophantine equations

26.2 Into real numbers

26.3 Rational numbers

26.4 Review of rational arithmetic

26.5 Complex fractions

26.6 Homework

27 Solutions for ninth week’s assignments

27.1 Diophantine equations

27.2 Problem set 6.1

27.3 Problem set 6.2

27.4 Problem set 6.3

28 Notes for the tenth week: Irrationals and decimals

28.1 Real numbers

28.2 Exponents and roots

28.3 Decimal expansions and percentages

28.4 Fixed and floating-point arithmetic

28.5 Homework

29 Second exam and solutions

30 Third exam, due 1 December

31 Third exam solutions

32 Final exam

20.1 Positional Numbers

20.2 Converting Between Bases

20.3 Operating on Numbers

20.4 Homework

21 Solutions for sixth week’s assignments

21.1 Problem set 3.1

21.2 Problem set 3.2

21.3 Problem set 3.3

21.4 Problem set 3.4

22 Notes for the seventh week: primes, factorization, and modular arithmetic

22.1 Divisibility

22.2 Primes

22.3 Factorization

22.4 Modular Arithmetic

22.5 Divisibility Rules

22.6 Homework

23 Solutions for seventh week’s assignments

23.1 Problem set 4.1

23.2 Two diagrams

23.3 Problem set 4.2

23.4 A familiar incomplete integer

24 Notes for the eighth week: GCD, LCM, and ax + by = c

24.1 Modular arithmetic

24.2 Divisibility rules

24.3 Greatest common divisor

24.4 Least common multiple

24.5 Euclidean GCD algorithm

24.6 Linear Diophantine equations

24.7 Homework

25 Solutions for eighth week’s assignments

25.1 Problem set 4.3

25.2 Computing GCDs

25.3 Computing LCMs

25.4 Linear Diophantine equations

26 Notes for the ninth week: ax + by = c, fractions

26.1 Linear Diophantine equations

26.2 Into real numbers

26.3 Rational numbers

26.4 Review of rational arithmetic

26.5 Complex fractions

26.6 Homework

27 Solutions for ninth week’s assignments

27.1 Diophantine equations

27.2 Problem set 6.1

27.3 Problem set 6.2

27.4 Problem set 6.3

28 Notes for the tenth week: Irrationals and decimals

28.1 Real numbers

28.2 Exponents and roots

28.3 Decimal expansions and percentages

28.4 Fixed and floating-point arithmetic

28.5 Homework

29 Second exam and solutions

30 Third exam, due 1 December

31 Third exam solutions

32 Final exam