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May 10, 2024
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2022-2023 Catalog [ARCHIVED CATALOG]
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MATH 213 - Multidimensional Mathematics
PREREQUISITES: MATH 136 - College Algebra and MATH 137 - Trigonometry with Analytic Geometry .
CREDIT HOURS MIN: 3
LECTURE HOURS MIN: 3
DATE OF LAST REVISION: Fall, 2020
Introduction to mathematics in more than two dimensions. Develops the ability to graph curves, surfaces, and functions in three dimensions. Explores different coordinate systems. Introduces students to two- and three-dimensional vector spaces and vector operations. Introduces students to the use of matrices to solve linear equation and familiarizes students with basic matrix operations.
MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course the student will be expected to:
- Graph functions in two dimensions using parametric and polar coordinates.
- Graph and analyze conic sections.
- Understand the relationship between Cartesian and polar coordinate systems.
- Express complex numbers in polar form and use them to find roots of algebraic equations.
- Use vectors in two and three dimensions.
- Calculate dot and cross products.
- Express lines and planes as vector equations.
- Express lines and planes as Cartesian and parametric equations.
- Graph functions of two variables.
- Use level curves and contour maps to analyze functions of two variables.
- Identify and characterize quadric surfaces.
- Characterize surfaces of revolution.
- Represent surfaces using parametric equations.
- Use Cartesian, cylindrical and spherical coordinates.
- Solve systems of equations using matrices.
- Perform Gaussian elimination and use matrices in row-echelon form.
- Perform matrix operations.
- Compute inverse matrices.
- Calculate determinants for 2x2, 3x3, and 4x4 matrices.
COURSE CONTENT: Topical areas of study include -
- Graphs of functions
- Circles
- Conic sections
- Parametric equations
- Polar coordinates
- Complex Numbers
- Cartesian coordinates for R3
- Vectors
- Dot product
- Cross product
- Lines and planes in R3
- Curves in R3
- Surfaces of revolution
- Quadric surfaces
- Functions of two variables
- Parametric equations of surfaces
- Cylindrical surfaces
- Spherical surfaces
- Systems of linear equations
- Solution sets
- Matrices
- Gaussian elimination
- Matrix operations
- Inverse matrices
- Determinants
- Eigenvalues and eigenvectors
GRADING POLICY
| A |
90-100 |
| B |
80-89 |
| C |
70-79 |
| D |
60-69 |
| F |
0-59 |
Course Addendum - Syllabus (Click to expand)
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