Math 306 Spring 2017 Section ZA Syllabus UBLearns Homework #1: Do the following problems from the book: Section 1.1: 8, 36, 46 Section 1.2: 6, 2, 40 Section 1.3: 20, 24, 26, 30 The homework is to be handed in (on paper, in class) at the end of class (6:20 pm) on February 14. Do not submit through UBLearns. Multiple sheets of paper should be stapled together (no folding or paperclips, etc.). Homework problems are from the 3rd custom UB/5th standard edition, no points will be given for problems from other editions. The 3rd custom UB edition consists of Chapters 1-8 of the standard 5th edition (which is titled Differential Equations and Boundary Value Problems: Computing and Modeling). Section 1.3 Slides Homework #2: Due: February 16, 6:20pm, in class. Section 1.4: 12, 32, 48 Section 1.5: 19, 29, 34 Section 1.6: 12, 42, 54, 71 Homework #3: Due: February 28, 6:20pm, in class. Section 1.5: 22 Section 1.6: 37, 48 Section 2.2: 8, 18 Section 2.3: 3, 7, 10, 20, 26 Midterm 1 Curve: The grade shown on UBLearns is your raw score out of 140 points. The curve is VERY ROUGHLY as follows: 101 to 140 points = A 79 to 100 points = B 56 to 78 points = C 34 to 55 points = D 0 to 33 points = F. Homework #4: Due: March 7, 6:20pm, in class. Section 2.4: Problem NB1:Apply Euler's Method to the initial value problem dy/dx = 3 cos(2x)-2 sin(3y) y(0)=1 on the interval [0,10]. Using N=5, compute the points and plot the approximate solution by hand (using a calculator for the computations). Then repeat the problem at N=10, N=50 and N=100 using one of Mathematica, Matlab or Maple; turn in both the commands/functions you used to compute the approximate solutions and their graphs. Section 3.1: 26, 39 Section 3.2: 4, 15, 23 Section 3.3: 10, 16, 26, 30 Section 2.4 Slides Homework #5: Due: March 14, 6:20pm, in class. Section 3.4: 6, 16 Section 3.5: 13, 31, 44, 59 Section 3.6: 14, 17, 21, 23 Homework #6: Due: March 30, 6:20pm, in class. Section 4.1: 6, 20, 32, 33 Section 4.2: 10, 16, 20, 24, 34, 40 Homework #7: Due: April 11, 6:20pm, in class. Section 5.1: 3, 4, 6, 10, 18, 22, 24, 28, 30, 40 Homework #8: Due: April 18, 6:20pm, in class Problem NB1: Consider the system of equations x'=x y'=y+z z'=2x-2y+4z Solve the system in two separate ways: First, using the method of elimination, then using the eigenvalue method. Problem NB2: Using the eigenvalue method, solve the initial value problem x'=4x-2y y'=5x+2y x(0)=1, y(0)=0 Write the solutions in terms of real-valued functions. Problem NB3: Use the (generalized) eigenvalue method to solve the system of equations x'=15x+10y y'=-8x+3y+6z z'=24x+16y-3z Hint: 15 is an eigenvalue. Section 5.5: 34, 35 Section 6.1: 9, 16, 20 Section 6.2: 30, 32 Section 6.1 Slides Homework #9: Due: April 25, 6:20 pm, in class. Section 6.4: 8, 10, 18 Section 8.1: 14, 18 Section 8.2: 5, 16, 20, 24, 30 Homework #10: Due: May 2, 6:20pm, in class. Section 8.3: 22, 28, 34 Section 7.1: 10, 20, 30, 32 Section 7.2: 6, 16, 24 Homework #11: Due: May 9, 6:20pm, in class. Section 7.3: 19, 35 Section 7.4: 13, 18, 26 Section 7.5: 4, 18, 25 Section 7.6: 4, 12