MATH-1314 College Algebra
Kristopher Marcus
Credit Fall 2024
Section(s)
MATH-1314-104 (91395)
LEC TuTh 2:35pm - 3:55pm RRC RRCA 8112Z5P2
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).
Credit Hours: 2, Contact Hours: 2
NCBM 0214 – Support for College Algebra (2-2-0). This course is designed to support students concurrently enrolled in MATH 1314 by providing additional focus on MATH 1314 topics and just-in-time review of prerequisite topics, as needed. Topics include review of properties of real numbers, functions, algebra of functions, inequalities, polynomials and factoring, rational expressions and equations, radical expressions and equations, quadratic functions and their graphs, solving quadratic equations, and exponential functions. This course is not for college-level credit.
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.
MATH 1314 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
M T W Th 10:45 AM - 3:45 PM RRC 2308.03 or Online
NOTE MW 5:40 - 6:00, 7:20 - 8:00 online, TTh 10:00 - 10:30, 3:55 - 5:25 on campusPublished: 08/26/2024 10:30:55