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Introductory Mathematics for Engineering Applications

Book Description

Rattan and Klingbeil's Introductory Mathematics for Engineering Applications is designed to help improve engineering student success through application-driven, just-in-time engineering math instruction. Intended to be taught by engineering faculty rather than math faculty, the text emphasizes using math to solve engineering problems instead of focusing on derivations and theory. This text implements an applied approach to teaching math concepts that are essential to introductory engineering courses that has been proven to improve the retention of students in engineering majors from the first to second year and beyond.

Table of Contents

  1. Cover Page
  2. Title Page
  3. Copyright
  4. Contents
  5. Preface
  6. Acknowledgement
  7. CHAPTER 1: STRAIGHT LINES IN ENGINEERING
    1. 1.1 Vehicle during Braking
    2. 1.2 Voltage-Current Relationship in a Resistive Circuit
    3. 1.3 Force-Displacement in a Preloaded Tension Spring
    4. 1.4 Further Examples of Lines in Engineering
    5. Problems
  8. CHAPTER 2: QUADRATIC EQUATIONS IN ENGINEERING
    1. 2.1 A Projectile in a Vertical Plane
    2. 2.2 Current in a Lamp
    3. 2.3 Equivalent Resistance
    4. 2.4 Further Examples of Quadratic Equations in Engineering
    5. Problems
  9. CHAPTER 3: TRIGONOMETRY IN ENGINEERING
    1. 3.1 Introduction
    2. 3.2 One-Link Planar Robot
    3. 3.3 Two-Link Planar Robot
    4. 3.4 Further Examples of Trigonometry in Engineering
    5. Problems
  10. CHAPTER 4: TWO-DIMENSIONAL VECTORS IN ENGINEERING
    1. 4.1 Introduction
    2. 4.2 Position Vector in Rectangular Form
    3. 4.3 Position Vector in Polar Form
    4. 4.4 Vector Addition
    5. Problems
  11. CHAPTER 5: COMPLEX NUMBERS IN ENGINEERING
    1. 5.1 Introduction
    2. 5.2 Position of One-Link Robot as a Complex Number
    3. 5.3 Impedance of R, L, and C as a Complex Number
    4. 5.4 Impedance of a Series RLC Circuit
    5. 5.5 Impedance of R and L Connected in Parallel
    6. 5.6 Armature Current in a DC Motor
    7. 5.7 Further Examples of Complex Numbers in Electric Circuits
    8. 5.8 Complex Conjugate
    9. Problems
  12. CHAPTER 6: SINUSOIDS IN ENGINEERING
    1. 6.1 One-Link Planar Robot as a Sinusoid
    2. 6.2 Angular Motion of the One-Link Planar Robot
    3. 6.3 Phase Angle, Phase Shift, and Time Shift
    4. 6.4 General Form of a Sinusoid
    5. 6.5 Addition of Sinusoids of the Same Frequency
    6. Problems
  13. CHAPTER 7: SYSTEMS OF EQUATIONS IN ENGINEERING
    1. 7.1 Introduction
    2. 7.2 Solution of a Two-Loop Circuit
    3. 7.3 Tension in Cables
    4. 7.4 Further Examples of Systems of Equations in Engineering
    5. Problems
  14. CHAPTER 8: DERIVATIVES IN ENGINEERING
    1. 8.1 Introduction
    2. 8.2 Maxima and Minima
    3. 8.3 Applications of Derivatives in Dynamics
    4. 8.4 Applications of Derivatives in Electric Circuits
    5. 8.5 Applications of Derivatives in Strength of Materials
    6. 8.6 Further Examples of Derivatives in Engineering
    7. Problems
  15. CHAPTER 9: INTEGRALS IN ENGINEERING
    1. 9.1 Introduction: The Asphalt Problem
    2. 9.2 Concept of Work
    3. 9.3 Application of Integrals in Statics
    4. 9.4 Distributed Loads
    5. 9.5 Applications of Integrals in Dynamics
    6. 9.6 Applications of Integrals in Electric Circuits
    7. 9.7 Current and Voltage in an Inductor
    8. 9.8 Further Examples of Integrals in Engineering
    9. Problems
  16. CHAPTER 10: DIFFERENTIAL EQUATIONS IN ENGINEERING
    1. 10.1 Introduction: The Leaking Bucket
    2. 10.2 Differential Equations
    3. 10.3 Solution of Linear DEQ with Constant Coefficients
    4. 10.4 First-Order Differential Equations
    5. 10.5 Second-Order Differential Equations
    6. Problems
  17. ANSWERS TO SELECTED PROBLEMS
  18. INDEX