Course Descriptions & Syllabi

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 | | MATH107 syllabus




COURSE NUMBER: MATH107
COURSE TITLE:Applied Mathematical Concepts
DIVISION:Sciences
IAI CODE(S):
SEMESTER CREDIT HOURS:5
CONTACT HOURS:60
STUDENT ENGAGEMENT HOURS:225
DELIVERY MODE:Online, In-Person, Hybrid

COURSE DESCRIPTION:
This course is intended for students who are pursuing applied science degrees (not requiring college algebra). The emphasis is on applications and problem solving. The following topics are introduced through solving practical problems which involve the modeling of natural phenomena. Topics of study include numerical analysis, variation, modeling with functions and equations, operations with polynomials, greatest common factor, introduction to functions, graphical analysis, and models of growth, linear equations and inequalities, and polynomials as related to applied sciences such as nursing, criminal justice, accounting, commercial floriculture, floral design, landscape design/construction, management, and marketing.

PREREQUISITES:
Complete DEVM099 or 100 or successfully place out. - Must be completed prior to taking this course.

NOTES: This course involves group-work. Students must have access to the internet, word processing, Microsoft Excel, and printing capabilities. A TI-83/83+ or TI-84/84+ graphing calculator is required for all sections. After successful completion of this course, students will be able to take MATH115 Survey of Statistics or MATH108 Intermediate Algebra.


STUDENT LEARNING OUTCOMES:
Upon completion of this course, students will be able to:
  • Interpret and evaluate solutions using graphs, charts, and tables. Solutions will be related in the appropriate form (decimal, percent, fractional) and with appropriate unit labelling.
  • Use technology such as Excel, graphing calculators, and online platforms to complete data calculations, representations, and problem solving.
  • Explain the meaning of mathematical concepts using appropriate terminology and compare similar or opposite mathematical concepts using their own wording.
  • Demonstrate understanding of Polya's problem solving and mathematical reasoning skills to solve practical real-life problems.
  • Analyze linear relationships, quadratic relationships, and exponential growth and decay, applying the correct type of relationship in a described real-life application and using the appropriate computational methods to produce and analyze a solution.
  • Understand use and conversion of units of measure calculations using scales, graphs, and dimensional analysis.
  • Calculate and describe the meaning of percentages, measures of average, area, volume, relative difference, and relative error.
  • Apply the Pythagorean Theorem by calculating distances, reading contour maps, and calculating grade.
  • Understand and apply computational procedures to practical problem solving, including explanation of specific operations.

TOPICAL OUTLINE:
  • Functions (2%)
    • Distinguish between inputs (independent variables) and outputs (dependent variables)
    • Use function notation
  • Life Skills (7%)
    • Interpret bank statements
    • Identify important skills for college students to have
    • Understand units for area and volume
    • Consider strategies for preparing for and taking math tests
    • Understand the impact of a single question, or a single exam
    • Consider major life decisions that involve answering "Which is Better?"
  • Graphing (20%)
    • Create & Interpret pie charts using Excel and by hand
    • Create & Interpret bar graphs using Excel and by hand
    • Plot points on a number line
    • Interpret and use rates of change
    • Use a rectangular coordinate system
    • Connect data to graphs
    • Interpret graphs
    • Define slope as a constant rate of change
    • Define the y intercept of a line
    • Tell a story based on the graph of a line
    • Connect tables and graphs to solving equations
    • Write equations of lines by recognizing slope and y intercept
    • Write an equation of a line that models data from a description, table, or graph.
    • Study the connection between zeros and x intercepts
    • Graph lines from a given equation
    • Find the line of best fit for data using spreadsheets and calculators
  • Geometry (4%)
    • Calculate the perimeter of rectangles and triangles
    • Understand units for area and volume
    • Understand and use the Pythagorean Theorem
    • Develop and use the distance formula
  • Arithmetic (9%)
    • Practice addition & subtraction
    • Compute sums using Excel
    • Interpret multiplication as repeated addition
    • Refresh multiplication and division skills
    • Interpret exponents as repeated multiplication
    • Practice working with exponents and the order of operations
    • Compute Percentages
    • Apply multiplication techniques to genetics
  • Unit Conversion (5%)
    • Convert units by multiplying and dividing
    • Convert units using dimensional analysis
    • Convert units involving rates
    • Find conversion factors for square and cubic units
  • Reasoning (6%)
    • Recognize patterns and use them to make predictions
    • Approximate square roots
  • Expressions (3%)
    • Write and interpret expressions
    • Identify when it’s appropriate to add quantities
    • Combine expressions using addition, subtraction, and multiplication
  • Problem Solving (8%)
    • Identify the four steps in Polya’s problem-solving procedure
    • Solve using a diagram
    • Solve using trial-and-error
    • Solve problems requiring calculations
    • Use equations to solve applied problems
    • Illustrate problems with a table and graph
  • Variation (6%)
    • Direct Variation
    • Identify quantities that vary directly
    • Write and use variation equations
    • Inverse variation
    • Solve problems involving direct and inverse variation
  • Quadratic Equations and Expressions (8%)
    • Recognize when a graph is parabolic
    • Solve problems using the graph of a quadratic equation
    • Solve equations using the quadratic formula
    • Find the vertex of a parabola
    • Study physical phenomena using quadratic functions
    • Understand what factoring is and why it’s useful in algebra
    • Factor expressions
  • Exponential Growth and Decay (5%)
    • Distinguish between linear and exponential growth
    • Solve problems using graphs representing exponential growth and decay
    • Study the decay rate for exponential decay
    • Relate exponential growth to compound interest
  • Use inequality symbols (1%)
  • Distinguish between simple interest and compound interest (1%)
  • Calculate and interpret measures of average (1%)
  • Understand the meaning of scale in models and maps (1%)
  • View percentages in terms of scales (1%)
  • Compare difference to relative difference (1%)
  • Apply relative error (1%)
  • Evaluate expressions and formulas (1%)
  • Decide if one option is better by looking at values in a table (1%)
  • Decide if two data sets are linearly related (1%)
  • Read contour maps and calculate grade (1%)

TEXTBOOK / SPECIAL MATERIALS:

CHBA: Online program that includes an e-book copy of Pathways to Math Literacy, Sobecki and Mercer,2nd ed

TI-83/83+ or TI-84/84+ calculator

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

EVALUATION:
Tests & Quizzes
General Assessment
Final Exam
60%
20%
20%

Grading Scale:
A- 90-100%
B- 80-89%
C- 70-79%
D- 60-68%
F- 00-59%

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:
Spring 2019

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