# NORCO COLLEGE SLO to PLO MATRIX

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1 SLO to PLO MATRI CERTIFICATE/PROGRAM: Math ADT COURSE: MAT-1A Calculus I Calculate the limit of a function. SLO 2 Determine the continuity of a function. Find the derivatives of algebraic and transcendental functions. Solve related rates problems. Apply the absolute and relative extrema to curve sketching and optimization problems. SLO 6 Use Newton's method to approximate the roots of a function. Evaluate a definite integral using Riemann sums. COURSE: MAT-1B Calculus II Employ the basic concepts of convergence and divergence of infinite sequences and series. SLO 2 Derive Taylor Series and approximate polynomials of analytic functions. Graph, differentiate, and integrate functions in polar and parametric form. Evaluate definite, indefinite, and improper integrals using techniques of integration. Solve applications of integration problems, including those involving area, volume, work, arc length and force. COURSE: MAT-1C Calculus III Write vector dot and cross products and apply sot and cross product to writing equations for lines and planes and surfaces in space. SLO 2 Write Cartesion equations in Spherical and cylindrical coordinates. Differentiate and integrate vector valued functions. 1

2 SLO to PLO MATRI Apply integration and differentiation to finding velocity and acceleration of bodies in space. Find unit tangent and unit normal vectors and their application to velocity, acceleration and curvature. SLO 6 Compute partial derivatives, differentials, directional derivatives and gradients. Apply partial derivatives and language multipliers to solve the Optimization Problems. Compute double and triple integrals and apply double and triple integration to the solution of center of mass, area and volume problems. SLO 9 Use the Jacobian and transformation of coordinates to solve multiple integration problems. 0 Graph vector fields. 1 Compute line and surface integrals. 2 Use Green's Divergence and Stoke's Theorems to solve various types of physical applications. COURSE: MAT-2 Differential Equations Recognize and solve separable, exact, and linear first-order differential equations. Solve higher-order homogeneous and non-homogeneous linear differential SLO 2 equations with constant coefficients and Cauchy Euler linear differential equations. Use the method of reduction of order and variation of parameters to solve higher-order homogeneous and non-homogeneous differential equations. Apply differential equations to the physical and biological sciences. Find power series solutions to differential equations about ordinary and singular points. SLO 6 Find the Laplace Transform and inverse Laplace Transform of functions. Solve systems of linear first-order differential equations. 2

3 SLO to PLO MATRI COURSE: MAT-3 Linear Algebra Calculate and apply determinants to a variety of problems including but not limited to areas, volumes, and cross products. SLO 2 Determine the rank and the dimension of the kernel for a matrix operator. Find Eigenvalues and related Eigenvectors for a square matrix and use them in applications. Use the Gram-Schmidt process to produce an orthonormal basis and use it in applications such as diagonalization of a square matrix. Solve systems of linear algebraic equations using various methods including Gaussian and Gauss-Jordan elimination, Cramer's rule and inverse matrices. Find bases for vector spaces including but not limited to spaces associated with SLO 6 matrices and linear transformations. Use bases and orthonormal bases to solve problems in linear algebra. Prove basic results in linear algebra using appropriate proof writing techniques. COURSE: CSC/CIS-5 Fundamentals of Programming Logic using C++ Describe the software development life-cycle SLO 2 Describe the principles of structured programming and be able to design, implement and test structured programs. Explain what an algorithm is and its importance in computer programming. Summarize the evolution of programming languages illustrating how this history has led to the paradigms available today. Use pseudocode, flowcharts, and a programming language to implement, test, and debug algorithms for solving problems. Identify the information requirements, synthesize the algorithmic steps needed to transform the data input into the required output information, and organize the output format to 3

4 SLO to PLO MATRI facilitate user communication. SLO 6 Demonstrate different forms of binding, visibility, scoping, and lifetime management. Create computer programs using the principles of structured programming and demonstrate the use of an IDE with appropriate libraries. Design, implement, test, and debug programs that use fundamental programming constructs: basic computation, simple I/O, standard conditional and iterative structures, and functions. Apply the principles of logical and programming concepts to develop solutions for gaming, business, scientific and mathematical problems. COURSE: PHY-4A Mechanics Explain the concepts of kinematics, such a as velocity, displacement and acceleration, and their relationships to each other. Determine the forces and torques acting on an object and determine the motion SLO 2 of an object through application of the Laws of Motion. Explain the concepts of conservation of energy and conservation of momentum, and use each to solve problems in mechanics. Apply the definitions of oscillatory and wave motion to construct solutions to problems. Apply the methods of Newtionian mechanics to solve problems relating to extended objects in static equilibrium; and define stress, strain and elastic modulus. Define Newton's Law of gravity and the related gravitational potential energy SLO 6 function and apply the methods of Newtonian mechanics to analyze systems in the contect of Newton's law of gravitation. Perform simple physical experiments that relate to the subject matter of the course; and analyze and interpret data collected in such experiments. 4

5 SLO to PLO MATRI COURSE: PHY-4B Electricity and Magnetism Determine the magnitude and direction of the electric field and force due to a charge distribution using the principles of superpoition and vector addition. SLO 2 Determine torque and potential energy of electric dipole systems. Utilize Gauss's Law to calculate electric flux and to determine electric fields for highly symmetrical geometries. Determine the scalar electric potential using the principles of superposition and Faraday's Law and apply this concept to conservation of energy. Define capacitance and its properties. Analyze capacitive circuits to determine their charge, voltage, energy and electric fields. SLO 6 Define current, resistance and electromotive force. Utilize Kirchhoff's rules for DC circuits. Derive the RC circuit equations. Demonstrate proficiency in the use of multimeter, oscilloscope, waveform generator and power supply. Determine the magnitude and direction of the magnetic field using the principles of superposition and vector addition. Determine the Lorentz force on charges and current carrying wires in magnetic and electric fields. Analyze torque and potential energy of magnetic dipole systems. SLO 9 Obtain expressions for the magnetic field utilizing Ampere's law. 0 Utilize Farady's law to calculate induced and motional. Determine the direction of current using Lenz's law. Explain the electic motor and generator. 1 Determine the inductance of a circuit element. Analyze inductive circuits. 2 Define and determine the impedance of an AC circuit and determine the current voltage phase relationships. 3 State Maxwell's equations and demonstrate that a light wave is a solution to Maxwell's equations. 5

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