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Part III
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
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