MATH-1314 College Algebra
Jonathan Bickham
Credit Fall 2024
Section(s)
MATH-1314-011 (91365)
LEC MTuWTh 10:00am - 10:40am HYS HYS1 01302.00
Course Requirements
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Week |
Material |
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1 8/22 |
Introduction Marecek Chapter 1: Foundations Marecek 2.1 Linear Equations and Expressions Marecek 2.2 Problem Solving |
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2 8/29 |
Marecek 2.3 Formulas Marecek 2.5 & 2.6 Linear Inequalities & Interval Notation Marecek 3.1 Graph Linear Equations in Two Variables Review Test 1 |
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3 9/6 (9/5 Holiday) |
Marecek 3.2 Slope of a Line Marecek 3.3 Find the Equation of a Line Marecek 3.5 Relations and Functions
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4 9/12 |
Marecek 3.6 Graphs of Functions Rockswold 1.4 Types of Functions Rockswold 2.4 More Modeling with Functions Review Test 2 |
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5 9/19 |
Marecek 4.1 Solve Systems of Linear Equations in 2 Variables Marecek 4.2 Solve Applications with Systems of Equations Rockswold 6.4A Intro to Systems in Three Variables
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6 9/26 |
Rockswold 6.4B More Systems in Three Variables Rockswold 6.5 Applications of Matrices Marecek 5.2 Properties of Exponents & Scientific Notation Review Test 3 |
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7 10/3 |
Marecek 5.1 & 5.3 Add, Subtract, and Multiply Polynomials Marecek 6.1 GCF and Factor by Grouping Marecek 6.2 Factor Trinomials |
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8 10/10 |
Marecek 6.3 & 6.4 Factoring Strategy & Diff of Squares Marecek 6.5 Polynomial Equations Review Test 4 |
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9 10/17 |
Rockswold 3.5 Transformations of Graphs Rockswold 3.1 Quadratic Functions Marecek Ch 8 selected topics, Part A: Square Roots, Complex Numbers Marecek Ch 8 selected topics, Part B: More with Radicals
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10 10/24 |
Marecek 9.1 Square Root Property Marecek 9.3 Quadratic Formula Rockswold 3.2 Quadratic Equations Review Test 5 |
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11 10/31
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Rockswold 3.4 Quadratic Inequalities Rockswold 4.1 Nonlinear Functions Rockswold 4.2 Polynomials Rockswold 4.4 Real Zeros of Polynomials
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12 11/7 |
Marecek 7.1 Multiply and Divide Rational Expressions Marecek 7.2 Add and Subtract Rational Expressions Rockswold 4.6 Rational Functions Review Test 6 |
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13 11/14 |
Rockswold 4.7 Rational Equations Rockswold 5.1 Combining Functions Rockswold 5.2 Inverse Functions
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14 11/21 |
Review Test 7 |
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15 11/28 |
Rockswold 5.3 Exponential Functions Rockswold 5.4 Logarithmic Functions Rockswold 5.5 Properties of Logarithms |
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16 10/5 |
Rockswold 5.6 Exponential and Logarithmic Equations Review Final Exam Part 1 Final Exam Part 2 |
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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.
Textbook: College Algebra with Modeling & Visualization, 6th Edition by Rockswold. Pearson Publishing (MyLab software) ISBN: 9780134763828
Calculator: Students need either a scientific or business calculator. (Has log or ln key.) If a student cannot purchase one, calculators are available from the library. Graphing calculators are not required, but you will use graphing technology in most sections of the book. Graphing calculators are also available in the library. Most ACC faculty are familiar with the TI family of graphing 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. You CANNOT attend class on your phone. You must have a computer or laptop or tablet. A printer (though not required) will also very helpful. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.
Course Subjects
Course Description
Credit Hours: 3, Contact Hours: 3
MATH 1314 College Algebra (3-3-0). A course designed for students who need College Algebra but do not need to take Precalculus (MATH 2412) or Calculus (MATH 2413). In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. This course does not meet the prerequisite for Precalculus (MATH 2412).
Course Rationale
This course is designed to teach students the functional approach to mathematical relationships that they will need for a business calculus sequence. Other courses, such as MATH 1332, or MATH 1342 are more appropriate to meet a general mathematics requirement. Check with your degree plan as to what math course your college requires.
Common Course Objectives
Functions:
- Use and interpret function notation.
- Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.
- Find a symbolic representation of the sum, difference, product, quotient, and composition of two functions.
- Evaluate the sum, difference, product, quotient, and composition of two functions at a given value of the respective domain for functions represented symbolically, graphically, and numerically.
- Find the inverse of a function represented symbolically, graphically, or numerically.
- Interpret the graphs of functions.
Graphing functions:
- Sketch the graphs of the following functions: Lines, x2, ax, and logax
- Identify and sketch transformations of the graphs of the following functions: x2, x3, x1/2, 1/x, 1/x2, |x|.
- Describe the end behavior of polynomial functions.
- Approximate the zeros of a function from its graph.
- Solve an inequality involving a function from its graph.
- Graph a piece-wise defined function.
Symbolic Adeptness:
- Solve polynomial, rational, exponential, and logarithmic equations symbolically.
- Use the Fundamental Theorem of Algebra
- Find the vertex of a parabola written in standard form by using the formula h = -b/2a.
- Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.
- Evaluate exponential and logarithmic functions using the change of base formula and a calculator.
- Use the properties of logarithms to expand a logarithmic expression, and to write an expanded logarithmic expression as a single logarithm.
- Solve a system of linear equations using Gaussian elimination.
- Evaluate the sum, difference and scalar multiplication of matrices.
Applications
- Recognize and use applications of linear functions.
- Recognize and use applications of quadratic functions, including falling object problems and extrema problems.
- Recognize and use applications of rational functions.
- Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling time, and half-life problems.
- Recognize and use applications of systems of linear equations.
Student Learning Outcomes/Learning Objectives
Student Learning Outcomes
Upon successful completion of the course, a student should be able to:
- Demonstrate understanding and knowledge of properties of functions, which include domain and range, operations, compositions, and inverses.
- Recognize and apply polynomial, rational, exponential, and logarithmic functions and solve related equations.
- Apply graphical, symbolic and numeric techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Recognize, solve and apply systems of linear equations using matrices.
General Education Competencies
- Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
- Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
- Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 4, and 5.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
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 09:36:41