Search Results

MATH 0030S - Just in Time Support for Math 30 Calculus I

http://catalog.sierracollege.edu/course-outlines/math-0030s/

Catalog Description DESCRIPTION IS HERE: Corequisite: Concurrent enrollment in Math 30 Hours: 18 lecture Description: Just in time support covering the core prerequisite skills, competencies, and concepts from Calculus I. Intended for students who are concurrently enrolled in Math 30. Topics include competencies from College Algebra and Trigonometry that are needed to understand the basics of Calculus. (CSU) Units 1 Lecture-Discussion 18 Laboratory By Arrangement Contact Hours 18 Outside of Class Hours Course Student Learning Outcomes Solve equations, including polynomial, absolute value, radical, rational, logarithmic, exponential, and trigonometric equations. Graph functions, including polynomial, absolute value, radical, rational, logarithmic, exponential, and trigonometric functions and find any intercepts, extrema, periods, and/or asymptotes. Evaluate the six trigonometric functions of special angles and their inverses. Verify trigonometric identities using valid substitutions and algebraic manipulations. Course Content Outline I. Algebraic Equations A. Linear and Absolute Value Equations B. Polynomial Equations C. Rational Equations D. Radical Equations II. Transcendental Equations A. Exponential and Logarithmic Equations B. Trigonometric Equations 1. Identities 2. Periodic solutions III. Functions and Graphs A. Definition of Function 1. Domain and Range B. Evaluation of Functions C. Graphing of Functions 1. Intercepts 2. End Behavior 3. Extreme Course Objectives Course Objectives Students will be able to: 1. Solve equations, including polynomial, absolute value, radical, rational, logarithmic, exponential, and trigonometric equations. 2. Graph functions, including polynomial, absolute value, radical, rational, logarithmic, exponential, and trigonometric functions and find any intercepts, extrema, periods, and/or asymptotes. 3. Evaluate the six trigonometric functions of special angles and their inverses. 4. Verify trigonometric identities using valid substitutions and algebraic manipulations. Methods of Evaluation Classroom Discussions Problem Solving Examinations Reading Assignments 1. Using mathematical journals found in the library, research the Pythagorean Theorem and its relation to right triangles trigonometry and prepare a presentation about your findings to the class. 2. After reading about Galileo’s contribution to astronomy, investigate the projectile motion of an object thrown near the Earth’s surface and its curved path under the force of gravity. Writing, Problem Solving or Performance 1. Build a model of a rectangular playpen using a piece of string of fixed length that represents the perimeter of the playpen (ends tied together, forming a rectangle). Students will then measure the area for different rectangles (adjusting the corners of the playpen). Students will then make a prediction as to when the area will be maximized. 2. Students will write about their understanding of the function called the difference quotient and how it relates to the value called the slope of a line. Other (Term projects, research papers, portfolios, etc.) Methods of Instruction Lecture/Discussion Distance Learning Other materials and-or supplies required of students that contribute to the cost of the course.