For each unit of credit, a minimum of three hours per week with one of the hours for class and two hours for studying/preparation outside of class is expected.
The Mathematics Department at Seward County Community College will enhance a student's ability to think critically using mathematical principles, ideas, and concepts in order to function in a society with ever-changing technology.
Outcome #4: Demonstrate mathematical skills by using a variety of techniques and technologies.
Outcome #5: Demonstrate the ability to think critically by gathering facts, generating insights, analyzing data, and evaluating information.
- To understand vectors in a plane and in space, perform operations on vectors and use these operations to solve problems.
- To identify and sketch various surfaces in space (three dimensions).
- To represent curves in polar coordinates (two dimensions) and cylindrical or spherical coordinates (three dimensions).
- To utilize vector-valued functions to solve problems involving motion, arc-length, and curvature.
- To extend concepts of calculus to functions of more than two variables, such as partial differentiation and how partials are used in determining gradient and directions derivatives.
- To utilize partial differentiation in applied problems.
- To understand the methods of multiple integration.
- To utilize multiple integration in solving problems of area, density, mass, and volumes.
- To understand the vector fields and line integrals and apply them to problems in math and physics.
- Two dimensions and three-dimensional spaces are considered with the scalar (dot) product of vectors, vector (cross) products, parametric equations of lines in space, planes in space and differentiation of vectors.
- Cylinders and quadric surfaces are graphed, and cylindrical and spherical coordinate systems are used.
- Vector-valued functions are used to represent curves in a plane or in space
- Velocity and acceleration of an object in space is considered.
- Limits and continuity in three dimensions is introduced.
- Partial derivatives, definitions and operations as well as optimization problems using functions of several variables.
- Multiple integration, region described iterated integrals, definitions and applications to areas, volumes, etc.
- Triple integration with cylindrical and spherical coordinates considered.
- Line integrals and work applications
- Lecture/Discussion
- In class and out of class assignments
- Calculator and computer exercises
- Calculator demonstrations
- Quizzes and Examinations
- Individual help
- Textbook
- Library mathematics reference books
- Supplementary materials prepared by the instructor are available on Canvas
- Computer tutorial programs
- TI Smartview TI-84 emulator software
- Computer projector, computer, and SMART Podium are used for computer demonstrations and class notes.
SCCC Instructional Outcome 4 will be assessed and measured by class participation, quizzes, and
tests.
SCCC Outcome 5 will be assessed and measured using assignments, tests, and non-traditional problem
solving activities.
SCCC Policy
Technical support is available by contacting the SCCC IT Department at itech@sccc.edu
Canvas Help: canvashelp@sccc.edu
Under the Americans with Disabilities Act, Seward County Community College will make reasonable accommodations for students with documented disabilities. If you need support or assistance because of a disability, you may be eligible for academic accommodations. Students should identify themselves to the Mental Health Counselor at 620-417-1106 or go to the Student Success Center in the Hobble Academic building, room A149.