Mathematics & Statistics
Texas Tech University
Kent Pearce

Department of Mathematics and Statistics
Texas Tech University
Lubbock, Texas 79409-1042
Voice: (806)742-2566 x 226
FAX: (806)742-1112
Email: kent.pearce@ttu.edu

Math 3350
Higher Mathematics for Engineers and Scientists
Spring 2012
Zill & Cullen
Advanced Engineering Mathematics
Jones & Bartlett

Review Exam III

You may bring a notecard to the exam with review information you have prepared for the exam.

Section Content      Suggested Problems
Section 4.1
  • Definition of Improper Integral
  • Basic Definition of Laplace Transform
  • Transforms of Basic Functions (Theorem 4.1)
  • Exponential Order
  • Theorem 4.1 Sufficient Condition for Existence
  • Laplace Transform of Piece-wise Continuous Function
3, 5, 9, 13, 21, 24, 27, 31,
Section 4.2
  • Inverse Transforms
  • Theorem 4.3
  • Partial Fraction Expansions and Linearity
  • Transforms of Derivatives
  • Solving linear initial-value problems
    • Procedure Diagram
  • Solve First Order Linear IVPs
  • Solve Second Order Linear IVPs
3, 4, 8, 15, 17, 20, 23, 26, 27, 32, 34, 36
Section 4.3
  • Translation on the s-axis
    • First translation/shifting theorem (Theorem 4.6)
  • Unit step function
  • Piece-wise Defined Functions
  • Translation on the t-axis
    • Second translation/shifting theorem (Theorem 4.7)
    • Alternative Version of Theorem 4.7
  • Solving linear initial-value problems
3, 6, 9, 10, 11, 14, 16, 18, 19, 22, 24, 26, 29, 37, 41, 43, 44, 47, 63, 65, 68
Section 4.4
  • Derivatives of Transforms (Theorem 4.8)
  • Transforms of Integrals
  • Convolution Theorem (Theorem 4.9)
  • Transform of a Period Function (Theorem 4.10)
  • Solving linear initial-value problems
3, 6, 9, 11, 13, 21, 23, 50, 51
Section 4.5
  • Unit Impulse Function
  • Dirac Delta Function
  • Solving linear initial-value problems
1, 3, 6, 9






Navigation Bar Home Vita Pre-Prints Courses Pre Lims Links Jokes

Home | Vita | Pre-Prints | Courses | Pre Lims | Links | Jokes

Comments maybe be mailed to: kent.pearce@ttu.edu

Last modified on: [an error occurred while processing this directive]