Course Syllabus
Course: MATH 1052
Division: Natural Science and MathDepartment: Mathematics
Title: College Algebra Part II
Semester Approved: Spring 2021
Five-Year Review Semester: Fall 2025
End Semester: Fall 2026
Catalog Description: College Algebra is designed to prepare students for trigonometry and calculus. This course presents the second half of the content associated with college algebra. Specifically, the course focuses on systems of equations, vectors and matrices sequences and series. Additional topics may include analytical geometry, modeling, and the binomial theorem.
General Education Requirements: Quantitative Literacy (MA)
Semesters Offered: Fall, Spring
Credit/Time Requirement: Credit: 2; Lecture: 2; Lab: 0
Prerequisites: MATH 1051 with a C or a better course grade. Prerequisite score or class must have been completed within the last two years or student must (re-)take the placement test.
Justification: Math 1052 is the college algebra course providing the material for many students in various STEM majors. In conjunction with Math 1051 it accomplishes the objectives of the State of Utah Quantitative Literacy requirement for those seeking an AS degree. This course combined together with Math 1051 is the equivalent of a traditional Math 1050 course offered here at Snow and other places in the state.
General Education Outcomes:
1: A student who completes the GE curriculum has a fundamental knowledge of human cultures and the natural world. Mathematics is the language used by many fields and almost every culture to communicate about events and processes that occur in the natural world. Much of this language is rooted in the topics covered in this course. Students will learn how to apply the mathematics taught to explain and evaluate processes that occur in various fields such as biology, geology, chemistry and others. The application of mathematics to natural phenomena will be assessed through the use of applying formulas to real-world applications found in quizzes, homework, and/or exams.
2: A student who completes the GE curriculum can read and research effectively within disciplines. In the field of Mathematics, students must be able to carefully examine a given problem then determine and execute a plan for solving the problem. Often the information given is presented using symbols and variables the student must be able to read and interpret mathematically within the context of the given problem. In addition to learning new concepts, College Algebra students are taught ways to express their new understanding using various mathematical symbols. This ability to read, retrieve, evaluate, interpret, and deliver mathematical information will be evaluated using homework, quizzes, and/or exams.
3: A student who completes the GE curriculum can draw from multiple disciplines to address complex problems. In this course, students are expected to develop their ability to analyze a problem, determine an appropriate approach to solve the problem, and then apply their approach to reach a reasonable solution. As they learn new skills to solve mathematical problems, they are also shown how those skills can be used to solve real life problems through a variety of application problems (often called story problems). Exposure to these problems allows students to see how math plays a part in everyday life. The skills developed will be necessary for the students as they continue on in their studies of the sciences. This ability to apply a mathematical solving process to solve a real world application problem involving multiple disciplines will be assessed through quizzes, homework, and/or exams.
4: A student who completes the GE curriculum can reason analytically, critically, and creatively. To be able to solve a mathematical problem a student must first examine what information is given, determine what information is needed, decide what process will best fit the problem to arrive at a conclusion, and then finally decide if the answer reached is reasonable. Through this course, students are taught to reason analytically, critically and creatively about different math processes and facts. This ability is assessed using quizzes, homework, and/or exams.
6: A student who completes the GE curriculum can reason quantitatively. The ability to reason logically about quantitative values is important to this college algebra course. Students are taught to analyze the numerical results of the equations, inequalities, and application problems they solve to decide if they violate any of the constraints of the problem as well as whether or not the answer is reasonably accurate in context of the application. The ability to reason logically about quantitative results will be assessed through the use of homework, quizzes, and/or exams.
General Education Knowledge Area Outcomes:
2: Convert relevant information into various mathematical forms (e.g., equations, graphs, diagrams, and tables). Students will be asked to make, recognize and write equations for graphs given. They will also be asked to identify properties of graphs given an equation or table. This outcome will be assessed through homework, quizzes, and/or exams.
3: Demonstrate the ability to successfully complete basic calculations to solve problems. Students will be given problems to complete that involve using calculations learned both in previous classes and in the current course as they apply to polynomial, rational, exponential, and logarithmic equations. The ability to solve problems using these calculations will be assessed through homework, quizzes, and/or exams.
Student Learning Outcomes:
Throughout mathematics, theorems are used to understand why a process will achieve the desired outcome. Students will learn various theorems as they go through this course and will learn new methods of solving problems that result As they understand these theorems and the solving methods, they will be able to demonstrate their ability to solve problems using those methods on their homework, quizzes, and/or exams.
Students preparing to study calculus, or other classes requiring College Algebra as a prerequisite, will be expected to be familiar with many common functions as well as basic features of their graphs (such as polynomial, rational, exponential, and logarithmic functions). The students' ability to graph and identify features on common functions will be demonstrated on homework, quizzes, and/or exams.
As students learn new mathematical skills, they will also be given opportunities to apply those skills to solve real-world problems (often referred to as story problems). This ability of students to apply mathematical skills learned in the course will be assessed using homework, quizzes, and/or exams.
As students continue to learn new mathematical concepts, they will also be expected to both understand and use the language of mathematics to communicate those concepts. Students' ability to understand and use mathematics as a language to communicate will be demonstrated and assessed via quizzes, homework, and/or exams.
Students will be expected to use technology in order to deepen their understanding and mastery of mathematical concepts. The ability to explore and analyze mathematical concepts with the aid of appropriate technology will be assessed using homework, quizzes, and/or exams.
Content:
• Solving systems of equations• Exploring the use of matrices• Sequences and SeriesThis course supports an inclusive learning environment where diverse perspectives are recognized, respected, and encouraged. Individual instructors are encouraged to include at least one assignment (other than story problems from the book) such as projects, readings, or presentations where the students can see how the concept applies to their lives.
Key Performance Indicators:
Homework 5 to 25%
Quizzes 0 to 20%
Midterms or Chapter Tests 20 to 70%
Attendance and/or Participation 0 to 10%
Presentations/Projects 0 to 20%
Comprehensive Final Exam 20 to 35%
Representative Text and/or Supplies:
Miller/Gerken: College Algebra, current edition
Pedagogy Statement:
This course is offered in many ways to include a variety of diverse learners: face-to-face, computer-based homework (where students can work ahead), and more traditional paper and pencil homework. Course work is presented and assessed using many methods, including, group work, presentations, projects, activities, lectures, or class discussions, to ensure students with diverse learning preferences have an opportunity to demonstrate their learning.
Instructional Mediums:
Lecture
Maximum Class Size: 36
Optimum Class Size: 25