Notes for chapters 4, 5, and 6

16 Notes for the fourth week: symbolic logic

16.1 Language of logic

16.2 Symbolic logic

16.3 Logical operators and truth tables

16.4 Properties of logical operators

16.5 Truth tables and logical expressions

16.6 Conditionals

16.7 Quantifiers

16.8 Logical deduction: Delayed until after the test

17 Homework for the fourth week: symbolic logic

17.1 Homework

18 Solutions for fourth week’s assignments

18.1 Section 3.1

18.2 Section 3.2

18.3 Section 3.3

18.4 Section 3.4

18.5 Section 3.1 again

18.6 Negating statements

18.7 Function from truth table

19 Notes for the fifth week: review

19.1 Review

19.2 Inductive and deductive reasoning

19.3 Problem solving

19.4 Sequences

19.5 Set theory

19.6 Symbolic logic

20 First exam and solutions

21 Notes for the sixth week: numbers and computing

21.1 Positional Numbers

21.2 Converting Between Bases

21.3 Operating on Numbers

21.4 Computing with Circuits

22 Homework for the sixth week: numbers and computing

22.1 Homework

23 Solutions for sixth week’s assignments

23.1 Section 4.1, problems 35 and 36

23.2 Section 4.2

23.3 Section 4.3

23.4 Positional form

23.5 Operations

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

24.1 Divisibility

24.2 Primes

24.3 Factorization

24.4 Modular Arithmetic

24.5 Divisibility Rules

25 Homework for the seventh week: primes, factorization, and modular arithmetic

25.1 Homework

26 Solutions for seventh week’s assignments

26.1 Section 5.1 (prime numbers)

26.2 Section 5.1 (factorization)

26.3 Section 5.4 (modular arithmetic)

26.4 Section 5.1 (divisibility rules)

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

27.1 Modular arithmetic

27.2 Divisibility rules

27.3 Greatest common divisor

27.4 Least common multiple

27.5 Euclidean GCD algorithm

27.6 Linear Diophantine equations : Likely delayed

28 Homework for the eighth week: GCD, LCM, ax + by = c

28.1 Homework

29 Solutions for eighth week’s assignments

29.1 Exercises 5.3

29.2 Computing GCDs

29.3 Computing LCMs

30 Notes for the ninth week: ax + by = c and fractions

30.1 Linear Diophantine equations

30.2 Into real numbers

30.3 Rational numbers

30.4 Review of rational arithmetic

30.5 Complex fractions

31 Homework for the ninth week: ax + by = c and fractions

31.1 Homework

32 Solutions for ninth week’s assignments

32.1 Linear Diophantine equations

32.2 Exercises 6.3

33 Notes for the tenth week: Irrationals and decimals

33.1 Real numbers

33.2 Exponents and roots

33.3 Decimal expansions and percentages

33.4 Fixed and floating-point arithmetic

34 Homework for the tenth week: Irrationals and decimals

34.1 Homework

35 Solutions for tenth week’s assignments

35.1 Exercises 6.4

35.2 Exercises 6.3

35.3 Exercises 6.5

35.4 Rounding and floating-point

36 Second exam and solutions

16.1 Language of logic

16.2 Symbolic logic

16.3 Logical operators and truth tables

16.4 Properties of logical operators

16.5 Truth tables and logical expressions

16.6 Conditionals

16.7 Quantifiers

16.8 Logical deduction: Delayed until after the test

17 Homework for the fourth week: symbolic logic

17.1 Homework

18 Solutions for fourth week’s assignments

18.1 Section 3.1

18.2 Section 3.2

18.3 Section 3.3

18.4 Section 3.4

18.5 Section 3.1 again

18.6 Negating statements

18.7 Function from truth table

19 Notes for the fifth week: review

19.1 Review

19.2 Inductive and deductive reasoning

19.3 Problem solving

19.4 Sequences

19.5 Set theory

19.6 Symbolic logic

20 First exam and solutions

21 Notes for the sixth week: numbers and computing

21.1 Positional Numbers

21.2 Converting Between Bases

21.3 Operating on Numbers

21.4 Computing with Circuits

22 Homework for the sixth week: numbers and computing

22.1 Homework

23 Solutions for sixth week’s assignments

23.1 Section 4.1, problems 35 and 36

23.2 Section 4.2

23.3 Section 4.3

23.4 Positional form

23.5 Operations

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

24.1 Divisibility

24.2 Primes

24.3 Factorization

24.4 Modular Arithmetic

24.5 Divisibility Rules

25 Homework for the seventh week: primes, factorization, and modular arithmetic

25.1 Homework

26 Solutions for seventh week’s assignments

26.1 Section 5.1 (prime numbers)

26.2 Section 5.1 (factorization)

26.3 Section 5.4 (modular arithmetic)

26.4 Section 5.1 (divisibility rules)

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

27.1 Modular arithmetic

27.2 Divisibility rules

27.3 Greatest common divisor

27.4 Least common multiple

27.5 Euclidean GCD algorithm

27.6 Linear Diophantine equations : Likely delayed

28 Homework for the eighth week: GCD, LCM, ax + by = c

28.1 Homework

29 Solutions for eighth week’s assignments

29.1 Exercises 5.3

29.2 Computing GCDs

29.3 Computing LCMs

30 Notes for the ninth week: ax + by = c and fractions

30.1 Linear Diophantine equations

30.2 Into real numbers

30.3 Rational numbers

30.4 Review of rational arithmetic

30.5 Complex fractions

31 Homework for the ninth week: ax + by = c and fractions

31.1 Homework

32 Solutions for ninth week’s assignments

32.1 Linear Diophantine equations

32.2 Exercises 6.3

33 Notes for the tenth week: Irrationals and decimals

33.1 Real numbers

33.2 Exponents and roots

33.3 Decimal expansions and percentages

33.4 Fixed and floating-point arithmetic

34 Homework for the tenth week: Irrationals and decimals

34.1 Homework

35 Solutions for tenth week’s assignments

35.1 Exercises 6.4

35.2 Exercises 6.3

35.3 Exercises 6.5

35.4 Rounding and floating-point

36 Second exam and solutions