Faculty Syllabus
MATD-0424 Developmental Business Math
Jonathan Bickham
Credit Fall 2024
Section(s)
MATD-0424-001 (91325)
LEC MTuWTh 11:00am - 11:55am HYS HYS1 01302.00
Course Requirements
|
Week |
Material |
|
1
1/17 |
Marecek Ch. 1 Foundations Marecek 2.1 General Strategies to Solve Linear Equations Marecek 2.2 Use a Problem Solving Strategy/B3.1 Simple Interest Marecek 2.5/2.6 Solve Linear and Compound Inequalities |
|
2
1/24 |
Marecek 5.2 Properties of Exponents Marecek 8.1/ 8.3 Simplify Expressions with Roots/Rational Exponents Review Test 1 |
|
3
1/31 |
Barnett 1.2A Graphs and Lines Barnett 1.2B Graphs and Lines Marecek 5.1/ 5.3 Multiply, Add and Subtract Polynomials Barnett 2.1A/B 2.2 Functions/Piecewise Functions |
|
4
2/7 |
Barnett 2.1B Functions Barnett 2.2 Elementary Functions: Graphs and Transformations Review Test 2 |
|
5 2/14 |
Marecek 6.1 GCF and Factor by Grouping Marecek 6.2 Factor Trinomials Marecek 6.3/6.4 Factoring Strategy and Difference of Squares Marecek 6.5 Polynomial Equations (Solve by factoring) |
|
6
2/21 |
Marecek 9.1/9.3 Square Root Property/Quadratic Formula Barnett 2.3A Quadratic Functions Review Test 3 |
|
7
2/28 |
Barnett 2.3B Quadratic Functions Barnett 2.4A Polynomial Functions Marecek 7.1 Multiply, Divide Rational Expressions Marecek 7.2 Add and Subtract Rational Expressions |
|
8
3/7 |
Barnett 2.4B Rational Functions/Marecek 7.4 Rational Equations Barnett 2.5 Exponential Functions Review Test 4
|
|
9 3/21 |
Barnett 2.6 Logarithmic Functions Barnett 3.2 Compound Interest Barnett 3.3 Future Value Barnett 3.4 Present Value of Annuities |
|
10
3/28 |
Barnett 4.3 Gauss-Jordan Elimination Barnett 4.4 Matrices: Basic Operations Review Test 5
|
|
11
4/4 |
Barnett 4.3 Gauss-Jordan Elimination Barnett 4.4 Basic Operations Barnett 4.5 Inverse of a Square Matrix Barnett 4.6 Matrix Equations and Systems of Linear Equations |
|
12
4/11 |
Barnett 5.1 Linear Inequalities in Two Variables Barnett 5.2 Systems of Linear Inequalities Review Test 6 |
|
13
4/18 |
Barnett 5.3 Linear Programming Barnett 6.1 The Table Method Barnett 7.3/7.4 Basic Counting Principles/Permutations and Combinations Barnett 8.1 Sample Spaces, Events and Probability |
|
14
4/25 |
Barnett 8.2 Union, Intersection and Complement of Events,Odds Barnett 8.3 Conditional Probability, Intersection and Independence Review Test 7 |
|
15
5/2 |
Barnett 8.5 Random Variable, Probability Distribution and Expected Value Barnett 10.2/10.3 Measures of Central Tendency/Measures of Dispersion Barnett 10.4 Bernoulli Trials and Binomial Distributions Barnett 10.5 Normal Distributions |
|
16
5/9 |
Review (2 days) Final Exam (Test 8) (2 parts given over 2 days) |
Readings
Required Materials
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.
Textbooks:
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition by Barnett, Ziegler, Byleen, & Stocker. Pearson Publishing (MyLab software) ISBN: 9780134862576
Intermediate Algebra, OpenStax publication by Lynn Marecek at Santa Ana College. Available free for download as pdf. See your instructor’s Blackboard course for a link.
MyLab Math is an optional interactive online course that accompanies the Math for Business and Economics textbook. There is no MyLab Math course to accompany the Intermediate Algebra textbook. Access to MyLab Math is included in the cost of your First Day Access.
Calculator: You will need a scientific calculator that handles exponents, logarithms and simple probability and statistics. Most ACC faculty are familiar with the TI family of calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section.
Other Technology: Access to a webcam and microphone are required for this course. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.
Course Subjects
Course Description
Credit Hours: 7, Contact Hours: 7
MATH 1324 Mathematics for Business and Economics (3-3-0). A course in finite mathematics for business students including linear equations and inequalities, functions and graphs, the exponential and logarithmic functions, the mathematics of finance, systems of linear equations and matrices, linear programming, the simplex method, and an introduction to probability and statistics.
MATD 0424 – Developmental Business Math (4-4-0). A course designed to develop the skills and understanding contained in secondary school algebra. Topics include review of operations and properties of real numbers, negative exponents, functions, graphing linear equations, solving linear and quadratic equations and systems of linear equations, solving linear inequalities, operations on polynomials and factoring, introduction to rational, radical, and exponential functions, and applications with a business focus.
Course Rationale
This course is required in certain degree plans, such as Accounting, Computer Information Systems and Economics. For some students, this is the first half of a two-semester finite mathematics/business calculus sequence. This is also a preparation course prior to taking two semesters of business calculus, although the preferred preparation for two semesters of business calculus is MATH 1314. Finally, some students take this course as a general mathematics elective.
MATH 1324 Course Objectives
Mathematics for Business and Economics has five main mathematical topics: functions, matrices, linear programming, probability and statistics. The objectives of the course are for students not only to know the mathematics of these concepts, but also to be able to apply the concepts to analyze and interpret information in business and financial application problems.
Student Learning Outcomes/Learning Objectives
MATH 1324 Student Learning Outcomes
Upon successful completion of the course, a student should be able to:
- Identify the basic graphs and properties of polynomial, rational, exponential, and logarithmic functions. Apply the knowledge of functions to business applications such as simple, compound or continuous compound interest, ordinary annuities, finding the maximum or minimum for quantities which are quadratic functions, and finding break even points.
- Perform basic operations with matrices, and use matrix methods to solve systems of linear equations. Apply the knowledge of matrices to business problems such as inventory, production, and total cost.
- Use geometric method to solve linear programming problems. Interpret information as an objective function with constraints, set up the linear programming problem, solve the problem and interpret the result in the context of the problem.
- Use basic counting techniques and calculate probabilities, including conditional probabilities. Apply the mathematical knowledge of probability to business problems and interpret the results.
- Calculate measures of central tendency and measures of dispersion. Apply the mathematical skills to problems in various business settings and interpret the results.
MATD 0424 Course Objectives/Student Learning Outcomes
Upon successful completion of this course a student will be able to:
- Perform operations involving integers, fractions, decimals, radicals, percents, signed exponents, ratios and proportions.
- Evaluate and perform basic operations on functions, find the domain and range of functions, and solve equations involving functions.
- Identify slope and intercepts from linear equations and graphs of lines. Find linear equations from given points and graphs of lines.
- Graph linear equations and inequalities, including systems of each, as well as absolute value and quadratic functions.
- Simplify, factor, and perform basic operations on algebraic expressions, including polynomials and rationals.
- Solve linear, quadratic and rational equations by symbolic methods and solve linear inequalities.
- Solve basic application problems using linear and quadratic models, finance formulas, and 2x2 systems of linear equations.
- Use mathematical language, symbols, and notation to communicate mathematical concepts, demonstrate reasoning, and solve problems.
Office Hours
F 9:00 AM - 1:00 PM Zoom
NOTEW 3:00 PM - 4:00 PM Zoom
NOTET W Th 8:00 AM - 9:00 PM Hays Campus 1204.30
NOTEPublished: 08/28/2024 09:36:12