Topics in Mathematics
I. Course Prefix/Number: MAT 290
Course Name: Topics in Mathematics
Credits: 1-4 (0-4 lecture; 0-4 lab)
III. Course (Catalog) Description
IV. Learning Objectives
V. Academic Integrity
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook.
VI. Sequence of Topics
A. Optimization Models
1. One-Variable Optimization
a. Sensitivity Analysis
2. Multivariable Optimization
a. Unconstrained Optimization
b. Lagrange Multipliers
3. Computational Methods for Optimization
a. Single and Multivariable Optimization
b. Linear Programming
c. Discrete Optimization
B. Dynamic Models
1. Steady-State Analysis
2. Dynamical Systems
3. Eigenvalue Methods
a. Discrete Systems
b. Phase Portraits
4. Simulation of Dynamic Models
a. Continuous-Time Models
b. Euler’s Method
c. Chaos and Fractals
C. Probability Models
1. Discrete Models
2. Continuous Models
3. Stochastic Models
a. Markov Chains
b. Linear Regression
4. Simulation of Probability Models
a. Monte Carlo Methods
b. Markov Property
VII. Methods of Instruction
Course may be taught as face-to-face, media-based, hybrid or online course.
VIII. Course Practices Required
IX. Instructional Materials
Vary with individual sections. Will include texts and/or handouts.
X. Methods of Evaluating Student Progress
Methods of presentation can include lectures, class discussions, and individual and group assignments. Calculators / computers will be used when appropriate.
XI. Other Course Information
If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Office of Access, Equity and Diversity. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.