Instructor: Sungjin Im

- Email: im3-[at]-ucmerced.edu; Phone: 209-228-2358 (Email is the best way to reach the instructor)
- Office: 214, Science and Engineering Building 2
- Office hours: 6-7pm, Tuesday (SE2-214)

TAs: Ramin Raziperchikolaei: rraziperchikolaei@ucmerced.edu. Wei-Chih Hung: whung8@ucmerced.edu

Lectures: Tuesdays/Thursdays 4:30-5:45pm (COB2 130)

Lab class: Monday 1:30-4:20pm (section 02L), 7:30-10:20pm (section 03L), and Wed 10:30am-1:20pm (section 04L). Linux Lab, SE100

Introduction to the design and analysis of computer algorithms. Topics include analysis and implementation of algorithms, concepts of algorithm complexity, and various algorithmic design patterns. Course will also cover major algorithms and data structures for searching and sorting, graphs, and some optimization techniques.

Prerequisites: CSE 15 and CSE31; proficient level of programming skills in C or C++ and elementary data structures; basic math and probability knowledge.

Required textbook (get the errata):

- T. H. Cormen, C. E. Leiserson, R. L. Rivest and C. Stein:
*Introduction to Algorithms*, 3rd ed. MIT Press, 2009.

The companion site for the book has additional materials (partial solutions, etc.).

Other books recommended as additional reading:

- J. Kleinberg and E. Tardos:
*Algorithm Design*, Addison-Wesley, 2005. Companion site for the book. - S. S. Skiena:
*The Algorithm Design Manual*, 2nd ed. Springer, 2008. This book is accessible online from within UC Merced. - S. Dasgupta, C. H. Papadimitriou and U. V. Vazirani:
*Algorithms*, McGraw-Hill, 2006. - Donald Knuth:
*The Art of Computer Programming*. - A. V. Aho, J. E. Hopcroft and J. D. Ullman:
*Data Structures and Algorithms*, Prentice-Hall, 1983.

Topics: Asymptotic notation. Divide-and-conquer. Recurrent equations and the master theorem. Space and time complexity. Loop invariants. Linear and binary search. Sorting algorithms: insertion sort, selection sort, mergesort, quicksort, heapsort. Sorting lower bounds. Heaps. Binary search trees. Hash tables with chaining and open addressing. Dynamic programming and greedy algorithms. Graphs: definition and relevant problems (path search, flow, minimum spanning trees).

The course will follow parts I, II, III, IV and VI of the textbook (skipping occasional topics).

Textbook reading (table of contents):

- Ch. 1
*The Role of Algorithms in Computing*: all. - Ch. 2
*Getting Started*: all.

Exercises: 2.1-1, 2.1-2, 2.1-3, 2.2-2, 2.2-4, 2.3-1, 2.3-2, 2.3-3, 2.3-5. - Ch. 3
*Growth of Functions*: 3.1 (skip ο() and ω()).

Exercises: 3.1-1, 3.1-4, 3.1-5, 3.1-6; 3.2-3; problems 3-2, 3-3. - Ch. 4
*Divide-and-Conquer*: all except 4.6.

Exercises: 4.1-1, 4.3-1, 4.3-9, 4.4-4, 4.4-6, 4.5-1, 4.5-2, 4.5-3, 4.5-4. - Ch. 6
*Heapsort*: all.

Exercises: 6.1-1, 6.1-2, 6.1-6, 6.2-1, 6.2-4, 6.3-1, 6.4-1, 6.5-1, 6.5-2, 6.5-7. - Ch. 7
*Quicksort*: all except 7.4.

Exercises: 7.1-1, 7.2-1, 7.2-2, 7.2-5, 7.3-2. - Ch. 8
*Sorting in Linear Time*: all.

Exercises: 8.2-1, 8.2-3, 8.2-4, 8.3-1, 8.3-2, 8.3-3, 8.4-1. - Ch. 9
*Medians and Order Statistics*: all. (skim 9.3).

Exercises: problem 9.1. - Ch. 10
*Elementary Data Structures*: all except 10.3. This chapter is review material.

Exercises: 10.1-1, 10.1-2, 10.1-3, 10.2-1, 10.2-2, 10.2-3, 10.4-1, 10.4-2, 10.4-4; problem 10.1. - Ch. 11
*Hash Tables*: all except 11.3.3 and 11.5.

Exercises: 11.2-2, 11.2-5, 11.3-1, 11.3-4, 11.4-1, 11.4-2, 11.4-3. - Ch. 12
*Binary Search Trees*: all except 12.4.

Exercises: 12.1-1, 12.1-2, 12.1-4, 12.1-5, 12.2-1, 12.2-3, 12.3-1, 12.3-3. - Ch. 15
*Dynamic Programming*: all except p. 382-383 and sec. 15.5.

Exercises: 15.1-1, 15.1-2, 15.1-3, 15.2-1, 15.2-2, 15.2-3, 15.2-4, 15.2-5, 15.3-2, 15.4-1, 15.4-3. - Ch. 16
*Greedy Algorithms*: all except 16.4 and 16.5 (skim the correctness' proof of Huffman's algorithm).

Exercises: 16.1-1, 16.1-2, 16.1-3, 16.2-1, 16.2-2, 16.3-3, 16.3-4. - Ch. 22
*Elementary Graph Algorithms*: all (skim proofs).

Exercises: 22.1-1, 22.1-2, 22.1-7, 22.2-1, 22.2-2, 22.2-5, 22.3-2, 22.3-3, 22.3-12, 22.4.1, 22.4.5, 22.5-1, 22.5-2. - Ch. 23
*Minimum Spanning Trees*: all.

Exercises: 23.1-1, 23.2-4. - Ch. 24
*Single-Source Shortest Paths*: all except 24.4 and 24.5 (skim proofs).

Exercises: 24.1-1, 24.1-3, 24.2-1, 24.3-1.

If there is time, we will also do one of the following chapters:

- Ch. 25
*All-Pairs Shortest Paths*: all.

Exercises: 25.1-4, 25.1-5, 25.1-6, 25.1-7, 25.1-8, 25.1-9, 25.2-4, 25.2-6, 25.3-3. - Ch. 26
*Maximum Flow*. - Ch. 27
*Multithreaded Algorithms*.

* Acknowledgements: The instructor thanks Prof. Carreira-Perpiñán for allowing me to borrow the course format including this webpage itself.