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:

  1. 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.
  2. 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.
  3. 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. 
  4. Use basic counting techniques and calculate probabilities, including conditional probabilities. Apply the mathematical knowledge of probability to business problems and interpret the results.
  5. 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:

  1. Perform operations involving integers, fractions, decimals, radicals, percents, signed exponents, ratios and proportions.
  2. Evaluate and perform basic operations on functions, find the domain and range of functions, and solve equations involving functions.
  3. Identify slope and intercepts from linear equations and graphs of lines. Find linear equations from given points and graphs of lines.
  4. Graph linear equations and inequalities, including systems of each, as well as absolute value and quadratic functions.
  5. Simplify, factor, and perform basic operations on algebraic expressions, including polynomials and rationals.
  6. Solve linear, quadratic and rational equations by symbolic methods and solve linear inequalities. 
  7. Solve basic application problems using linear and quadratic models, finance formulas, and 2x2 systems of linear equations.
  8. 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

NOTE

W 3:00 PM - 4:00 PM Zoom

NOTE

T W Th 8:00 AM - 9:00 PM Hays Campus 1204.30

NOTE

Published: 08/28/2024 09:36:12