Introduction to Mathematical Programming

Infrastructure

• pcglabs (Lab policies, schedules, etc.)
• LabNet account manager page

How-To Memos

• How to recieve e-mail
• How to print your submissions (Updated 2:30pm Sept.26 2005, an important warning added)
• Adding paper to your paper account (Somewhat obsolete, for example, read Craig Squires as Dwayne Hart.)
Submitting assignments electronically

Labs

• Lab 1 (First C program, prints a greeting)
• Lab 2 (Elementary arithmetics)
• Lab 3 (printf, double vs int, math functions)
• Lab 4 (scanf, #define, conditional compilation)
• Lab 5 (summation of a geometric progression)      Example of loop tracing
• Lab 6   (Solution of general quadratic equation. Robust program with interactive input and proper treatment of all special cases.)     
  Variation with functions (Compile: gcc -lm lab6_func.c)      and C++ish simplification (Compile:   g++ lab6_func.cxx)
• Lab 7   (Sorting out the mess)     
• Lab 8   (Midterm programming question)  
  First steps with Maple   (Friday)
            More: functions, team work, and fast math
• Lab 9  (Some examples with loops and functions)
       [By mistake, I confused the lab number and used the prefix lab7. It was meant to be lab9.   -SS]
• Lab 10 (Arrays and command line arguments)
    lab10a.c (Fixed number of command line arguments)  
  lab10b.cc (Variable number of CLAs, dynamically allocated array; compile with g++)
• Lab 12 (Maple worksheet on procedures)
• Lab 13 (Review program involving conditional statements, loops, arrays, and user-defined functions)

Assignments and Solutions

• Assignment 1   [pdf]  [ps]      Correction: in #2, line 5 should read:    w=(u-v)/6;

• Assignment 2   [pdf]  [ps]      Corrections to Q#2: in the hardcopies distributed Thur Sep.29, the declaration int diff and initialization a=_INIT_A were missed.
  Instructor's solution:   Program for Q.1

• Assignment 3   [pdf]  [ps]
  Instructor's solution:   Question 1  Question 2  Question 3

• Assignment 4   [pdf]  [ps]
  

  Corrections to Part B

  :

  1)  in #B1, the formula for b_n should be b_n=b₀q_n-1    (The factor b₀ was missing).

  2)   in #B2, in loop header please change j++ to j-- (Otherwise the loop was infinite.)

  
  Instructor's solutions:   A1   A2   B1   B2

• Assignment 5   [pdf]  [ps]      Correction: In #3, the single-quotes in the RETURN statement (fourth line) have been amended to double-quotes, reflecting current Maple syntax

Quizzes

• (Oct.24)   Quiz 1 (with answers and comments)    [pdf]   [ps]
  Descriptive statistics

Midterm Test

• Topics covered  
• The test   [pdf]   [ps]  
• Programs   (to practice) [Q.3]   [Q.4]   [Q.5]  (with errors, as in test)
• Answers and solutions

Preparation to the Final Exam

• Outline of the Exam:
  • [9] Multiple choice - I      Hints
  • [15] Multiple choice -II      Hints
  • [30] Tracing      Comments and Training Q

  • [31] Programming

    -- General comments   [pdf]   [ps]    (Take a look at Sol. to Asst4, Q.B1)

    -- Training programming exercises   [pdf]   [ps]
       Corrections to Q.1: (i) Assume a=1 in the polynomial. (ii)  Math error in formula: b'k=-d+c' shoud read b'k=-c+c'.
       Here is a more detailed explanation of Q.1   [pdf]   [ps]
       Here is are solutions (with detailed comments) to Problem 3 and Problem 4

  • [15] Maple      Comments
• Material to be posted:
  • Covered material <--> Textbook section
  • Comments on the Maple question

Corrections and amendments to lectures and labs

• Sept.19: about #include statement

  We actually didn't have the #include <stdio.h> statement in our first two programs. Older C compilers didn't allow that. For the sake of portability (a possibility to compile your programs at other computers without change), it's safer to include this line right above int main().

  
  
• Oct.19   Handout about functions    [pdf]    [ps]

Department of Mathematics and Statistics