Tests:
Test 1 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Test 2 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Test 3 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Test 1 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Test 2 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Test 3 (in-class pdf) (in-class key)
(take home pdf) (take home key)
Math 310
Introduction to Mathematical Reasoning
Week at a Glance:
Monday: Office hours 1-2
Tuesday: Final Exam 8:00-10:30
Monday: Office hours 1-2
Tuesday: Final Exam 8:00-10:30
Homework:
Section 1.1: 3-5 (due 8/31)
Section 1.2: 2, 4, 8, 9, 12, 16, 17 (due 9/2
Section 1.4: 1, 2, 6, 8, 9, 13, 15 (due 9/9)
Section 1.5: 2, 3, 5, 7, 9 (due 9/14)
Section 2.1: 3, 7-9 (due 9/21)
Section 2.2: 2, 3, 9, 12 (due 9/21)
Section 2.3: 3, 5, 9, 10 (due 9/28)
Section 3.1: 3, 13, 15, 16 (due 10/5)
Also, let x and y be integers. Prove that if x and y are even, then xy is divisible by 4.
Section 3.2: 3, 7, 11 (due 10/12)
Also, let m and n be integers. Prove that m and n have the same parity iff m^2+n^2 is even.
Section 3.3: 2, 6, 19, 21 (due 10/26)
Also, prove or disprove: Let a, b, c, and d be integers. If a divides (b-c) and a divides (c-d), then a divides (b-d).
Section 3.4: 2, 7, 8, 10, 24 (due 10/26)
Section 3.5: 2, 4, 14, 19 (due 10/26)
Section 6.1: 2, 4, 8, 11 (due 11/2)
Section 6.2: 5, 10 (due 11/9)
Section 6.3: 3, 5, 17 (due 11/16)
Section 6.4: 9, 11 (due 11/16)
Section 4.1: 7, 9, 10 (due 11/16)
Section 4.2: 2, 5, 8, 9, 12 (due 11/23)
Section 4.3: 11, 12, 16 (due 11/23)
Section 4.6: 2, 4, 10, 11 (due 11/23)
Section 5.1: 2, 4, 13, 15, 17 (due 12/7)
Section 5.2: 8, 18 (due 12/7)
Section 1.1: 3-5 (due 8/31)
Section 1.2: 2, 4, 8, 9, 12, 16, 17 (due 9/2
Lecture Notes:
Section 1.1 - Deductive Reasoning and Logical Connectives (tex)
Section 1.2 - Truth Tables (tex)
Section 1.4 - Operations on Sets
Section 1.5 - The Conditional and Biconditional Connectives
Section 2.2 - Equivalences Involving Quantifiers (tex)
Section 2.3 - More on Sets (tex)
Section 3.1 - Proof Strategies (tex)
Section 6.2 - More on Induction
Section 4.1 - Ordered Pairs and Cartesian Products
Section 4.2 - Relations
Section 4.3 & 4.6 - Equivalence Relations
Section 5.1 - Functions
Section 5.2 - One-to-one and Onto
)Section 1.1 - Deductive Reasoning and Logical Connectives (tex)
Section 1.2 - Truth Tables (tex)
Section 1.4 - Operations on Sets
Section 1.5 - The Conditional and Biconditional Connectives
Section 2.2 - Equivalences Involving Quantifiers (tex)
Section 2.3 - More on Sets (tex)
Section 3.1 - Proof Strategies (tex)
Section 6.2 - More on Induction
Section 4.1 - Ordered Pairs and Cartesian Products
Section 4.2 - Relations
Section 4.3 & 4.6 - Equivalence Relations
Section 5.1 - Functions
Section 5.2 - One-to-one and Onto
Section 1.4: 1, 2, 6, 8, 9, 13, 15 (due 9/9)
Section 1.5: 2, 3, 5, 7, 9 (due 9/14)
Section 2.1: 3, 7-9 (due 9/21)
Section 2.2: 2, 3, 9, 12 (due 9/21)
Section 2.3: 3, 5, 9, 10 (due 9/28)
Section 3.1: 3, 13, 15, 16 (due 10/5)
Also, let x and y be integers. Prove that if x and y are even, then xy is divisible by 4.
Section 3.2: 3, 7, 11 (due 10/12)
Also, let m and n be integers. Prove that m and n have the same parity iff m^2+n^2 is even.
Section 3.3: 2, 6, 19, 21 (due 10/26)
Also, prove or disprove: Let a, b, c, and d be integers. If a divides (b-c) and a divides (c-d), then a divides (b-d).
Section 3.4: 2, 7, 8, 10, 24 (due 10/26)
Section 3.5: 2, 4, 14, 19 (due 10/26)
Section 6.1: 2, 4, 8, 11 (due 11/2)
Section 6.2: 5, 10 (due 11/9)
Section 6.3: 3, 5, 17 (due 11/16)
Section 6.4: 9, 11 (due 11/16)
Section 4.1: 7, 9, 10 (due 11/16)
Section 4.2: 2, 5, 8, 9, 12 (due 11/23)
Section 4.3: 11, 12, 16 (due 11/23)
Section 4.6: 2, 4, 10, 11 (due 11/23)
Section 5.1: 2, 4, 13, 15, 17 (due 12/7)
Section 5.2: 8, 18 (due 12/7)
Projects:
MathMate - due 9/30
MathMate - due 9/30
