Math 4803-LEY: Introduction to Algebraic Computation
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Homework
Homework assignments: (Assignments are due at the beginning of the class on Thursday. Your programs and computations done with a computer should be sent by e-mail.)
  • [due 5/30] 5.1.2, 5.1.3, 5.1.4, 5.2.3, 5.3.2.
  • [due 4/16] 6.2.3 (e-mail an M2 script), 4.1.2, 4.1.4, 4.1.8, 4.1.12, 4.1.15, 4.1.17, 4.2.1, 4.2.3, 4.2.5, 4.3.2, 4.3.4.
  • [due 3/12] robotics applications: 6.1.1, 6.1.2,
    explore the solutions to the forward kinematic problem for the planar 3-RPR platform for various input values: find the leg lengths $(l_1,l_2,l_3)$ such that the problem has
    • 0 real solutions;
    • the maximal number of complex solutions;
    • the maximal number of real solutions.
    first part of Chapter 3: 3.1.1, 3.1.2, 3.1.4, 3.1.7, 3.1.10, 3.1.13, 3.1.14, 3.2.1, 3.2.4, 3.2.5, 3.2.7, 3.2.8.
  • [due 2/14] 2.1.2, 2.1.3, (implement Algorithm 2.1.2), 2.1.4, 2.1.8, 2.1.12, 2.1.13, 2.1.14, 2.2.3, 2.2.8, 2.3.2, 2.3.4, 2.3.5.
  • [due 1/24] 1.2.3, 1.4.1(2-5), 1.4.2, 1.5.2(2), 1.5.3, 2.0.6, 2.1.1, 2.3.2(2).