Faculty Syllabus
MATH-1414 College Algebra for Precalculus
Rene Lumampao
Credit Fall 2024
Section(s)
MATH-1414-012 (91512)
LEC MW 9:40am - 11:25am HLC HLC1 2414
MATH-1414-038 (91535)
LEC TuTh 10:05am - 11:50am DIL DLS DIL
Readings
Required Materials
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and ALEKS, has been added to your tuition and fees bill.
Textbook: College Algebra & Trigonometry, 2nd Edition by Miller & Gerken. McGraw-Hill (ALEKS software) ISBN: 9781260260441 (hardcover), 9781264248841 (spiral bound), or 9781264248667 (ebook)
Online Component: ALEKS is required. Access to ALEKS is included in the First Day Access version of the text.
Course Subjects
Course Description
MATH 1414 – College Algebra for Precalculus. A course for students planning to take Precalculus (MATH 2412) and Calculus (MATH 2413). Content includes the rational, real, and complex number systems; the study of functions including polynomial, rational, radical, exponential, and logarithmic functions and related equations; inequalities; sequences and series; systems of linear equations using matrices.
Student Learning Outcomes/Learning Objectives
Course Objectives
Functions:
- Use and interpret functional 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.
- Recognize and evaluate arithmetic/geometric sequences and series.
Graphing functions:
- Sketch the graphs of the following functions: Lines, x2, x3, x1/2, 1/x, 1/x2, |x|, factored polynomials of degree 3 or more, ax, logax, and rigid transformations of these functions.
- Describe the short run and end behavior of polynomial and rational 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.
- Solve equations involving radicals symbolically.
- Solve equations with rational exponents symbolically.
- Solve equations with negative exponents symbolically.
- Solve polynomial and rational inequalities symbolically.
- Use the Fundamental Theorem of Algebra and the Conjugate Zeros Theorem to find zeros of polynomials of degree three or greater.
- Find the vertex of a parabola written in standard form by using the formula h = -b/2a.
- Perform algebraic operations on complex numbers (addition, subtraction and multiplication (division?)).
- Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.
- Solve Exponential and Logarithmic equations symbolically.
- 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.
- Perform algebraic operations on matrices, including addition, scalar multiplication, matrix multiplication.
- Find the determinant of a matrix and apply Cramer’s Rule.
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 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
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.
- Perform algebraic operations on matrices, evaluate the determinant and apply Cramer’s Rule
- Recognize and evaluate arithmetic/geometric sequences and series.
Office Hours
M W 11:35 AM - 12:35 PM Highland Campus HLC 4 Bldg 4000, Room 2310.57
NOTET Th 12:00 PM - 3:00 PM Online Office Hours
NOTEPublished: 08/23/2024 15:50:04