# Program Learning Outcomes

• MAT 140, Calculus I

Learning Outcomes for this course:

1. Students will be able to determine if a function is odd, even, or neither
2. Students will be able to compute the limit of a function when x → a
3. Students will be able to compute the limit of a function when x → ∞
4. Students will be able to use the product rule, quotient rule, and chain rule to find the derivatives of various types of functions.
5. Students will be able to write the equation of a line tangent to the curve of f(x) at a given point.
6. Students will be able to integrate a function.
7. Students will be able to use u-substitution to integrate a function.

MAT 141, Calculus II

Learning Outcomes for this course:

1. Students will be able to determine the area, volume, and the length of a plane curve by integration.
2. Students will be able to integrate trigonometric, hyperbolic, exponential, and logarithmic functions.
3. Students will be able to integrate functions using integration by parts.
4. Students will be able to evaluate improper integrals.
5. Students will be able to evaluate sequences and series.

MAT 210, Advance Calculus

Learning Outcomes for this course:

1. Use vector methods to solve problems involving vector products with applications to projections, work, and geometry.
2. Determine the parametric equations of lines, and the equations of planes in three dimensions.
3. Use vector notation to express parametric functions in two, and three dimensions, and apply calculus methods to find the limits, derivatives, and integrals of these functions.
4. Find the arc-length parametrization of smooth vector-valued functions.
5. Determine the unit tangent, normal, and binormal vectors of vector-valued functions, as well as their curvature.
6. Use the differential calculus of functions of more than one variable to solve problems involving tangent planes, and relative and absolute extrema.
7. Use the method of Lagrange multipliers to solve constrained optimization problems.
8. Use the integral calculus of functions of more than one variable to solve problems involving areas and volumes.
9. Evaluate line integrals along curves in two, and three dimensions, and surface integrals over three-dimensional surfaces.

MAT 212, linear algebra

Learning Outcomes for this course:

1. Solve systems of linear equations in three variables using the row-Echelon matrix method.
2. Find the inverse of a 3x3 matrix using elementary row operations.
3. Solve 3x3 linear systems using Cramer’s Rule.
4. Use the Gram-Schmidt process to obtain an orthonormal basis of an inner product vector space.
5. Obtain the matrix representation of a linear transformation of a vector space with respect to a given basis.
6. Find the eigenvalues, and corresponding eigenvalues, of a matrix, or linear transformation.

MAT 222, Discrete Mathematics

Learning Outcomes for this course:

1. Understand the ideas of mathematical logic.
2. Master various techniques of proof.
3. Perform operations on sets.
4. Understand and apply the concepts of combinatorial analysis.
5. Understand and apply relations and functions
6. Perform operations on matrices
7. Apply and construct algorithms.
8. Solve recurrence relations and apply them to the analysis of algorithms.
9. Understand and apply the theory of directed and undirected graphs.
10. Understand and apply trees.
11. Understand and apply combinatorial circuits.
12. Understand and apply the concepts of Boolean algebra as a mathematical abstract.