MATH 0000D - Intermediate Algebra
http://catalog.sierracollege.edu/course-outlines/math-0000d/
Catalog Description Course Student Learning Outcomes CSLO #1: Simplify expressions and solve equations of the following types: linear, quadratic (including some with complex solutions), rational, radical, absolute value, exponential, and logarithmic. CSLO #2: Interpret and construct graphs of linear, quadratic, exponential, and logarithmic functions and their inverse functions. CSLO #3: Translate, model, and solve applied problems using linear, quadratic, rational, radical, exponential, and logarithmic functions. CSLO #4: Logically present clear, complete, accurate, and sufficiently detailed solutions to communicate reasoning and demonstrate the method of solving problems. Effective Term Fall 2024 Course Type Credit - Degree-applicable Contact Hours 72-90 Outside of Class Hours 144-180 Total Student Learning Hours 216-270 Course Objectives 1. Solve equations including linear, quadratic, polynomial, rational and absolute value types, exponential, logarithmic, or radical types, and their associated applied problems. 2. Solve inequalities including linear, quadratic, polynomial, rational and absolute value. 3. Graph and perform transformations on the following: linear, quadratic, exponential, logarithmic, absolute value, cubic, and square root functions. 4. Find the equation of a line given sufficient information about the line. 5. Utilize function notation, perform operations on functions, determine if a function is invertible, and find the inverse of functions. 6. Simplify and perform computations with scientific notation. 7. Simplify and perform operations on complex numbers and solve equations with non-real solutions. 8. Simplify and perform operations on algebraic expressions including polynomials, rational expressions, complex fractions, radicals, rational and integral exponents, and logarithms. 9. Analyze polynomial expressions to determine the best approach to factoring and complete factorization using that technique. 10. Solve linear systems of equations and inequalities with two variables and applied problems associated with such systems. 11. Solve linear systems of equations with three variables and applied problems associated with such systems. 12. Analyze and determine the domain for polynomial, radical, rational, logarithmic and exponential functions. General Education Information Approved College Associate Degree GE Applicability AA/AS - Comm & Analyt Thinking AA/AS - Mathematical Skills CSU GE Applicability (Recommended-requires CSU approval) Cal-GETC Applicability (Recommended - Requires External Approval) IGETC Applicability (Recommended-requires CSU/UC approval) Articulation Information Not Transferable Methods of Evaluation Problem Solving Examinations Example: 1. Given a quadratic equation, determine which strategies could be used to solve it. Choose the most efficient method and solve the equation. This problem is graded based on the completeness and correctness of the strategy used and the solutions found. 2. Given y as a function of x, determine whether or not the function has an inverse. If it does, find the inverse of the function. This question is graded based on the clarity, completeness, and correctness of the method used and of the solutions found. Repeatable No Methods of Instruction Lecture/Discussion Distance Learning Lecture: Students will discuss the strategies for factoring different types of polynomial expressions and create a flow chart to help them determine the best approach. Given a list of polynomials, they will use their flow chart to determine the complete factorization. The instructor will circulate and ask clarifying questions as the students complete this task. (Objective 8) Interactive lecture format to develop the concept of what a function is, and analyze the properties of the different types of functions (linear, quadratic, radical, rational). To help students see the commonalities and differences between each type of function, instructor will incorporate algebraic analysis through equations, visual analysis through graphing, and numerical analysis through evaluation. Students will participate verbally and by working various examples. (Objectives 3, 5, 8) Distance Learning In an online class, instructor will lead a video lecture on what a function is. Students will participate by doing examples and asking questions through email or chat. (Objectives 3, 5, 8) Typical Out of Class Assignments Reading Assignments 1. Find and read an article about the Richter scale. Note how it relates to the logarithms that we have studied and be prepared to discuss in class. 2. Find and read an article that discusses very large or very small numbers in an applied setting. Note how these numbers are more easily represented in scientific notation versus decimal notation and be prepared to discuss in class. Writing, Problem Solving or Performance 1. Solve applied mathematical problems that use exponential models. Example: Assume that on the day you were born your uncle put $8000 into an account that grew at a rate of 3.7% annual interest compounded continuously. How much money would you have in the account on your 21st birthday? 2. Solve an applied mathematics problem using a system of equations. Example: A wine company needs to blend a California wine with a 5% alcohol content and a French wine with a 9% alcohol content to obtain 200 gallons of wine with 6.5% alcohol content. How many gallons of each kind of wine must be used? Other (Term projects, research papers, portfolios, etc.) Required Materials Intermediate Algebra for College Students Author: Blitzer Publisher: Pearson Publication Date: 2017 Text Edition: 7th Classic Textbook?: No OER Link: OER: Other materials and-or supplies required of students that contribute to the cost of the course.
