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Single Variable Calculus II (C-ID Math 220 or 221) or Single Variable Calculus Sequence (C-ID Math 900S)

Multivariable Calculus (C-ID Math 230)

1. First order differential equations including separable, homogeneous, exact, and linear;
2. Second order linear differential equations;
3. Laplace Transforms for second-order non-linear equations;
4. Techniques for solving systems of linear equations including Gaussian and Gauss-Jordan elimination and inverse matrices;
5. Matrix algebra, invertibility, transposes and determinants;
6. Eigenvalues and eigenvectors; and
7. Transforming linear differential equations into systems of first-order equations and solving with eigenvalues and eigenvectors.

Upon successful completion of the course, students will be able to:

1. Solve first and second order differential equations;
2. Use matrix methods to solve systems of linear equations;
3. Use eigenvector methods to solve systems of linear differential equations; and
4. Use appropriate technology to enhance understanding of differential equations and linear algebra.

Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems and proofs.

A college level textbook designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.