ENGINEERING MATHEMATICS

By Y. NAMAM

CONTENTS MOTIVATION FOR ENGINEERING MATHEMATICS ABSTRACTION IN ENGINEERING ENGINEERING SYSTEMS AS A STARTING POINT SOLVING COMMON ENGINEERING PROBLEMS CHOICE OF COORDINATE SYSTEMS RECTANGULAR COORDINATES MOVING TO A THIRD DIMENSION POLAR COORDINATES VECTORS VECTOR ADDITION AND SUBTRACTION VECTOR MULTIPLICATION MANIPULATING SPACE COMPLEX NUMBERS GRAPHICAL RELATIONSHIPS—ANGLES USEFUL ANGLE THEOREMS IDEAS IN TRIGONOMETRY LAWS OF SINES AND COSINES EMPLOYING FUNCTIONS RELATIONS TO FUNCTIONS COMPOSITION INVERSE FUNCTIONS FITTING DATA LOCATING ROOTS OF A FUNCTION LOCATING ROOTS WITHIN A TOLERANCE, OR “GETTING CLOSE ENOUGH” FUNCTIONAL BEHAVIOR USING CALCULUS TO SOLVE PROBLEMS DIFFERENTIAL CALCULUS INTEGRAL CALCULUS INPUTS AND OUTPUTS CLASSIFICATIONS COMMON MANIPULATIONS SPECIAL INPUTS HEAVISIDE UNIT STEP—THE STEP FUNCTION DIRAC’S DELTA FUNCTION: THE IMPULSE FUNCTION INPUTS IN TERMS OF AN INFINITE SERIES POWER SERIES FOURIER SERIES ENGINEERING SYSTEMS A SUMMARY AND WHERE TO GO FROM HERE