3 credits
Blue Book Description: Topics in ordinary differential equations, linear algebra, complex numbers, Eigenvalue solutions and Laplace transform methods.
Pre-requisites: Math 211
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
Suggested Textbook:
Basic Technical Mathematics with Calculus, 11th edition, by A. J. Washington and R.S. Evans, published by Pearson. Check with your instructor to make sure this is the textbook used for your section.
Check with your instructor to make sure this is the textbook used for your section.
Topics:
16. Matrices; Systems of Linear Equations
16.1 Matrices: Definitions and Basic Operations
16.2 Multiplication of Matrices
16.3 Finding the Inverse of a Matrix
16.4 Matrices and Linear Equations
16.5 Gaussian Elimination
16.6 Higher-order Determinants
29. Partial Derivatives and Double Integrals
29.1 Functions of Two Variables
29.2 Curves and Surfaces in Three Dimensions
29.3 Partial Derivatives
29.4 Double Integrals
31. Differential Equations
31.1 Solutions of Differential Equations
31.2 Separation of Variables
31.3 Integrating Combinations
31.4 The Linear Differential Equation of the First Order
31.5 Numerical Solutions of First-order Equations
31.6 Elementary Applications
31.7 Higher-order Homogeneous Equations
31.8 Auxiliary Equation with Repeated or Complex Roots
31.9 Solutions of Nonhomogeneous Equations
31.10 Applications of Higher-order Equations
31.11 Laplace Transforms
31.12 Solving Differential Equations by Laplace Transforms