CSci 1302 Problem Solving and Algorithm Development II.

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Syllabus

The syllabus below is somewhat approximate. Dates, topics, assigned reading, and problem set due dates are subject to change. All changes in assigned reading and due dates will be announced in class (and occasionally by e-mail). While I will do my best to update the web site accordingly, it is a student's responsibility to keep track of the problem set due dates and reading assignments. If you are not sure about due dates, please don't hesitate to ask.

Both the midterm and the final exams are open book, open notes.

Note that the date for the midterm exam is set and will not change. If you have a conflict with this date, please let me know right away.

All reading is from Discrete Mathematics with Applications by Susanna S. Epp (3rd edition), unless specified otherwise.

Problem sets are due in the beginning of the class on the due date. If a problem set is submitted at (or before) the next class meeting after the due date, it is graded out of 3/4 credit. If it is submitted any time after the next meeting (until the last class meeting), then it is graded out of 1/2 credit.
Problem sets submitted more than 2 minutes after beginning of the class are considered late.

Groups for problem sets

Working together with other students on problem sets helps you understand the material better. You may hand in group assignments (two students per group). Make sure you keep copies of all assignments yourselves and hand in one assignment from the entire group with names of all students on the first page. Groups are not set in stone for the entire semester, it's perfectly OK to change them or do some problem sets on your own, just make sure to coordinate it with the other person in your group.

Working in groups helps learning if all students in the group discuss all of the problems and participate equally. It doesn't help you learn if you divide problems among the group members (so that one person works on one problem and another works on another) or if one person does all the work, and the other just puts their name on it. If you feel that group participation is uneven, it's time to talk to your partner(s) and possibly to change your group or to start working individually.

Studying in groups

Studying in groups is strongly encouraged. Yopu may study for tests, go over texbook materials or lecture notes, and discuss problem sets in general terms (i.e. without actually writing the formulas or giving out the answers).

In-class quizzes

There will be approximately 10-12 quizzes during the semester. A quiz will be about 10-15 minutes and will be based on recent material (including the material of the previous class meeting and the assigned reading). Quizzes are open book: you may use your notes and the textbook and your notes on a quiz. Quiz dates will not be announced in advance.

Missed quizzes are counted as 0. The lowest quiz grade in the semester will be dropped (i.e. it will not contribute to overall grade).

Monday Wednesday Friday
Week 1: August 29 -- September 2
Introduction, course overview.
Logical systems, scientific theories, mathematical models.
Propositional logic: statements and connectives.
Reading: Ch. 1.1
Statements and connectives (continue); truth tables
Problem set 1: Statements, logical equivalence (due Wedn., September 14th)
Week 2: September 5 -- September 9
Labor Day Holiday -- no class Logical equivalence.
Conditional and biconditional statements.
Reading: Ch. 1.2
Week 3: September 12 -- September 16
Valid and invalid arguments. Logical deduction.
Reading: Ch. 1.3
Logical deduction (continue)
Problem set 1 due
Problem set 2: Logical deduction (due Wedn., Sept. 21)
Digital circuits.
Reading: Ch. 1.4
Week 4: September 19 -- September 23
Digital circuits and number manipulation.
Reading: Ch. 1.4
Digital circuits and number manipulation (cont.).
Problem set 2 due
Problem set 3: Digital circuits and number manipulation. (due Wedn., Sept. 28th)
Introduction to quantifiers and predicates.
Reading: Ch. 2.1
Week 5: September 26 -- September 30
Formulas with quantifiers. Equivalences of quantified formulas. Reading: Ch. 2.2.
Problem set 3 due
Problem set 4: Quantifiers and predicates. (due Wedn., Oct. 5th)
Equivalences of quantified formulas (cont.)
Scope of quantifiers, bound and free variables.
Week 6: October 3 -- October 7
Statements containing multiple quantifiers, their equivalences.
Equivalences of formulas with multiple quantifiers.
Reading: Ch. 2.3
Deduction in predicate logic
Reading: Ch. 2.4
Problem set 4 due
Problem set 5: Predicates and quantifiers. (due Wedn., Oct 12th)
Deduction in predicate logic (cont.)
Reading: Ch. 3.1
Week 7: October 10 -- October 14
Deduction in predicate logic (cont.)
Reading: Ch. 3.2, 3.3
Deduction in predicate logic (cont.)
Reading: Ch. 3.4, 3.6
Problem set 5 due
Problem set 6: Deduction in predicate logic (due Mon., Oct. 24th)
Applications of proofs to algorithms.
Reading: Ch. 3.8
Week 8: October 17 -- October 21
Fall break -- no class.
Review for the exam.
Midterm exam (includes material up to Friday, Oct. 14th.)
Week 9: October 24 -- October 28
Introduction to mathematical induction.
Reading: Ch. 4.1, 4.2
Problem set 6 due
Problem set 7: Deduction in predicate logic (due Wedn., Nov. 2nd)
More on mathematical induction.
Reading: Ch. 4.3, 4.4.
Introduction to loops in imperative programming languages.
Loop invariants.
Reading: Ch. 4.5
Week 10: October 1 -- November 4
More on loop invariants. Efficiency of algorithms, Big-Oh notation
Reading: TBA
Problem set 7 due.
Problem set 8: Mathematical induction, algorithm analysis. (due Wedn., Nov. 9th)
Big-Oh notation (cont.)
Week 11: November 7 -- November 11
Introduction to sets, basic concepts of set theory.
Reading: Ch. 5.1.
Set operations
Reading: Ch. 5.2, 5.3
Problem set 8 due.
Problem set 9: Algorithm analysis, Introduction to sets (due Wedn., Nov. 16th).
Algorithm analysis (cont.).
Week 12: November 14 -- November 19
Introduction to sets, basic concepts of set theory.
Subsets, power sets, etc.
Reading: Ch. 11.
Set operations.
Reading: Ch. 12
Problem set 9 due.
Problem set 10: sets, operations on sets (due Wedn., Nov. 24th)
Relations (introduction).
Reading: Ch. 13.
Week 13: November 21 -- November 25
More on relations, Relational databases.
Properties of binary relations; equivalence relations
Reading: Ch. 14 (up to 14.2), 15.
Problem set 10 due.
Problem set 11: Relations, relational closures, equivalence classes (due Wedn., Dec. 8)
Thanksgiving -- no class
Week 14: November 28 -- December 2
Equivalence classes, relational closures.
Relational closures (cont.) Introduction to graph theory.
Reading: handout (given in class)
Week 15: December 5 -- December 9
Search algorithms on graphs.
Reading: handout (given in class)
Functions as relations.
Reading: Ch. 16.
Problem set 11 due.
Problem set 12: Graphs, functions (due Wedn., Dec. 15th)
Function composition. Examples of use of functions. Functional programming (overview).
Week 16: December 12 -- December 15
Catch up and discussion.
Last day of classes
Review and wrap up.
Problem set 12 due.
Final exam: Thursday, Dec. 22 8:30-10:30 AM

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