 # Course Descriptions & Syllabi

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Note: some or all of the courses in the subjects marked as "Transfer" can be used towards a transfer degree: Associate of Science and Arts or Associate of Engineering Science at DACC. Transferability for specific institutions and majors varies. Consult a counselor for this information.

Areas of Study | | MATH135 syllabus

 COURSE NUMBER: MATH135 COURSE TITLE: Intro. Analysis II (Finite Math) DIVISION: Sciences IAI CODE(S): M1 906 SEMESTER CREDIT HOURS: 3 CONTACT HOURS: 45 STUDENT ENGAGEMENT HOURS: 135 DELIVERY MODE: In-Person

COURSE DESCRIPTION:
An introduction to finite mathematics for students in the social or life sciences, business and economics, with applications from these fields. Emphasis is on concepts and applications, rather than mathematical structures. Required topics must include systems of linear equations and matrices, linear programming, counting and probability theory. Additional topics include vectors, determinants, systems of inequalities, simplex method, set theory, logic and Boolean algebra, stochastic processes, game theory, Markov chain methods, mathematical modeling and the mathematics of finance. Instruction on computer programming techniques using calculators will be included. Not for Math or Science majors. May be taken before MATH 125.

PREREQUISITES:
Place into MATH135 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.

NOTES:

STUDENT LEARNING OUTCOMES:
Upon completion of this course, students will be able to:
• Use all combinatoric, probability and algebraic symbolic forms and terminology.
• Clearly demonstrate, in writing, the organized, logical steps taken to arrive at the solution.
• Graph systems of linear inequalities.
• Solve systems of linear equations using matrix techniques, interpret the results for application problems and create the graphical representation.
• Perform operations with matrices: addition and multiplication.
• Perform operations on matrices: transpose and inverse.
• Perform linear programming using a graph for two-variable systems.
• Perform linear programming using a matrix for multiple-variable systems.
• Apply various probability-related counting techniques.
• Calculate probabilities for random, compound, independent and conditional events.
• Apply finance formulas to calculate simple and compound interest, annuities and their present value, and periodic payments for sinking funds and amortization.
• Synthesize concepts of probability and matrix operations by applying them to Markov chains and mixed-strategy games.
• Clearly interpret solutions of combinatorics, probability and linear programming problems and applications.
• Demonstrate strong critical thinking and problem solving skills as applied to combinatorics, probability and linear programming problems.
• Use all relevant technology for combinatorics, probability and linear programming.

TOPICAL OUTLINE:
With at least 60% accuracy a student should be able to use and define the following mathematical concepts:
• Lines and Systems of Linear Equations [10%]
• The Cartesian coordinate system
• Linear functions and their graphs
• The slope and equation of a line
• Systems of two linear equations in two unknowns
• Gauss-Jordan elimination
• Matrices and Matrix Operations [10%]
• Matrices
• Matrix products
• Matrices and systems of linear equations
• Inverse of a square matrix
• Input-output analysis
• Linear Programming [25%]
• Linear inequalities in two variables
• Linear programming introduction
• Slack variables
• The Simplex Method
• Introduction to Probability [30%]
• The Fundamental Principle of Counting
• Permutations and combinations
• Sample spaces and equiprobable spaces
• Finite probability spaces
• Conditional probability
• Independent events
• Bayes' Probabilities
• Binomial experiments and Bernoulli trials
• Basic Finance [10%]
• Compound interest
• Annuities
• Sinking Funds
• Amortization
• Game Theory [15%]
• Markov Chains
• Optimal Mixed Strategies

TEXTBOOK / SPECIAL MATERIALS:

Finite Mathematics and Calculus with Applications, 10th ed., Lial, Greenwell, and Ritchey; Pearson, 2016.

See bookstore website for current book(s) at https://www.dacc.edu/bookstore

EVALUATION:

The student’s grade for the course is based on a cumulative percent with overall grade divisions occurring at 90, 80, 70 and 60 percent. The cumulative percent will be obtained from a combination of four categories: five or more hourly exams accounting for fifty percent of the course grade, five or more quizzes accounting for fifteen percent of the course grade, classroom work accounting for ten percent of the course grade, a midterm accounting for ten percent of the course grade and a final accounting for fifteen percent of the course grade. Attendance is required and a student may be withdrawn from the class roster due to excessive absences. Such students may avoid withdrawal by being responsible for missed material and by making prior arrangements with the instructor for missed, in-class evaluations.

BIBLIOGRAPHY:

STUDENT CONDUCT CODE:
Membership in the DACC community brings both rights and responsibility. As a student at DACC, you are expected to exhibit conduct compatible with the educational mission of the College. Academic dishonesty, including but not limited to, cheating and plagiarism, is not tolerated. A DACC student is also required to abide by the acceptable use policies of copyright and peer-to-peer file sharing. It is the student’s responsibility to become familiar with and adhere to the Student Code of Conduct as contained in the DACC Student Handbook. The Student Handbook is available in the Information Office in Vermilion Hall and online at: https://www.dacc.edu/student-handbook

DISABILITY SERVICES:
Any student who feels s/he may need an accommodation based on the impact of a disability should contact the Testing & Academic Services Center at 217-443-8708 (TTY 217-443-8701) or stop by Cannon Hall Room 103. Please speak with your instructor privately to discuss your specific accommodation needs in this course.

REVISION:
Fall 2019