MATH 0000A - Elementary Algebra
http://catalog.sierracollege.edu/course-outlines/math-0000a/
Catalog Description Course Student Learning Outcomes CSLO #1: Simplify expressions and solve equations of the following types: linear, quadratic, rational, and radical. CSLO #2: Interpret and construct linear graphs. CSLO #3: Translate, model, and solve applied problems using linear, quadratic, rational, and radical equations. 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. Execute basic order of operations with signed numbers, fractions, decimals and numbers with exponents. 2. Translate written or spoken language phrases and sentences to algebraic expressions and equations. 3. Graph linear equations and inequalities in two variables. 4. Find the equation of a line given sufficient information about the line. 5. Solve systems of linear equations in two variables and their associated applied problems. 6. Simplify and perform operations on algebraic expressions including polynomials, rational expressions, radicals, and integral exponents. 7. Translate numbers from decimal notation to scientific notation and vice versa. 8. Analyze polynomial expressions to determine the best approach to factoring and complete factorization using that technique. 9. Solve linear, radical, rational and quadratic equations and their associated applied problems. 10. Solve linear inequalities and represent their solutions using number lines and interval notation when appropriate. General Education Information Approved College Associate Degree GE Applicability 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 Classroom Discussions Example: Example: Solve a system of two equations, x+y=6, x-2y=-2 by applying the substitution method, the elimination method, and by graphing. Show that the solution is the same by all three methods. Students discuss why one method is used over another. This question is graded based on the clarity, completeness, and correctness of the method used and of the solution found. Objective Examinations Example: Example 1: Given a quadratic equation, x^2-4x+4=0 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. Problem Solving Examinations Example: Example 1: Given a quadratic equation, x^2-4x+4=0 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. Repeatable No Methods of Instruction Lecture/Discussion Distance Learning Lecture: Interactive lecture format to develop the concept of adding and subtracting rational expressions. Commonalities and differences between adding and subtracting arithmetic fractions and rational expressions will be emphasized. Students will participate verbally and by working various examples (Objective 6). Distance Learning In class small group collaborative learning activity - students will discuss the various methods used for graphing linear equations in two variables. Given a list of linear equations, students will be able to choose the most efficient method to graph each equation. The instructor will circulate and ask clarifying questions as the students complete this task (Objective 3). Typical Out of Class Assignments Reading Assignments 1. In the text, read the introduction to slope. Note the distinction between lines with positive slope and negative slope. 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. Writing, Problem Solving or Performance 1. Solve applied mathematical problems that use linear models. Example: After a 23% reduction, you purchase a television for $320. What was the television's price before the reduction? 2. The relationship between Celsius and Fahrenheit temperatures can be described by a linear equation. The graph of this equation contains the point (0, 32): Water freezes at 0 degrees Celsius or at 32 degrees Fahrenheit. The line also contains the point (100, 212): Water boils at 100 degrees Celsius or at 212 degrees Fahrenheit. Write the linear equation expressing Fahrenheit temperature in terms of Celsius temperature. Other (Term projects, research papers, portfolios, etc.) Required Materials Introductory Algebra for College Students Author: Blitzer Publisher: Pearson Publication Date: 2017 Text Edition: 7th Classic Textbook?: No OER Link: OER: Beginning Algebra Author: Martin-Gay 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.
CHEM 0000A - Preparation for College Chemistry
http://catalog.sierracollege.edu/course-outlines/chem-0000a/
Catalog Description Prerequisite: Completion of first year high school algebra or MATH A with grade(s) of "C" or better Advisory: Eligibility for ENGL 1A Hours: 108 (54 lecture, 54 laboratory) Description: A nontransferable course primarily intended to prepare students for college general chemistry. Includes a brief review of math operations important in chemistry, metric system, formulas, equations, gas laws, and solutions through related lecture and laboratory exercises. (not transferable) Course Student Learning Outcomes CSLO #1: Solve problems and analyze data related to chemical formulas and stoichiometry. CSLO #2: Solve problems and analyze data related to atomic and molecular structure. CSLO #3: Solve problems and analyze data related to aqueous solutions. CSLO #4: Solve problems and analyze data related to states of matter. CSLO #5: Demonstrate proper scientific communication through lab work that shows clear calculations, correct use of significant figures and units, and proper use of chemical nomenclature. CSLO #6: Determine significant figures in measurements and how they propagate through calculations to final results. CSLO #7: Use the metric system and SI units, especially in dimensional analysis and converting between metric units. Effective Term Fall 2022 Course Type Credit - Degree-applicable Contact Hours 108 Outside of Class Hours 108 Total Student Learning Hours 216 Course Objectives Given a periodic chart, an ion chart, a strong and weak electrolyte chart, and a scientific calculator, students will perform the following on written examinations, on laboratory exercises, or in laboratory experiments: Lecture Objectives: 1. Identify given types of matter as an element, a compound, or a mixture; 2. Identify a given change as a chemical change or a physical change; 3. Convert within the metric system and between English and metric systems; 4. Calculate numerical problem answers in proper scientific notation and to the proper number of significant figures using dimensional analysis; 5. Solve problems involving density, volume, and mass; 6. Draw a diagram of a given type of atom showing protons, neutrons, and electrons; 7. Calculate the numbers of protons, neutrons, and electrons for given atoms and ions; 8. Solve problems involving atomic number, mass number, and numbers of protons, neutrons, and electrons; 9. Write the electron configuration for given elements and ions; 10. Determine the electron configuration for an element from its location on the periodic chart; 11. Calculate the number of each type of atom given a chemical formula; 12. Write chemical formulas for given chemical names, write chemical names for given chemical formulas; 13. Draw the electron dot formulas for given chemical names or formulas; 14. Solve problems using the relationships identified in the periodic chart of the elements; 15. Calculate the molar mass of a given compound; 16. Calculate the percent composition of a given compound; 17. Solve problems involving grams, moles, and particles; 18. Determine the empirical and/or molecular formula for a given compound from the given composition; 19. Write balanced chemical equations; 20. Solve stoichiometry problems involving grams, moles, and particles; 21. Solve stoichiometry problems involving a limiting reagent; 22. Write ionic and net ionic equations; 23. Solve problems using molarity; 24. Solve stoichiometry problems involving molarity; 25. Solve gas problems involving grams, pressure, volume, temperature, and number of moles; 26. Solve stoichiometry problems involving gas volumes; 27. Calculate the energy required for a given phase change or temperature change. Laboratory Objectives: 1. Perform laboratory experiments to reinforce concepts in basic laboratory techniques, and to prepare for more advanced laboratory work in chemistry, if applicable; 2. Develop techniques for measurement and recording data; 3. Distinguish between physical and chemical properties using experimentation; 4. Use appropriate equipment to measure mass and volume in order to determine density; 5. Use quantitative analysis to determine the composition of a hydrate; 6. Investigate different types of chemical reactions; 7. Using a reaction, determine mass-mass stoichiometry and percent yield; 8. Investigate properties of solutions and determine the mass percent of solute in a solution; 9. Explore properties of acids and bases; 10. Determine the molarity of a solution through titration; 11. Exhibit cooperative and individual skills in the collection and analysis of data; 12. Develop clear, cogent reporting of experimental observations, analysis and conclusions using the scientific method. General Education Information Approved College Associate Degree GE Applicability 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 Objective Examinations Example: Students will take quizzes and examinations utilizing a variety of objective questions like true or false and multiple choice on solving problems using relationships identified in the periodic table (lecture course objective 14). Standard grading. Example Questions: 1. Group 6 elements tend to gain 2 electrons. True or False? 2. Group 7 elements tend to form ____ bond(s). a. 0 b. 1 c. 2 d. 3 e. none of the above Problem Solving Examinations Example: Students will solve problems utilizing molar masses and stoichiometry (lecture course objectives 12, 15, 17 and 19-21). The calculated results are graded based on work shown to demonstrate the student’s problem solving process and arriving at the correct value, units and significant figures. Rubric grading. Example Question: Solid sulfur reacts with oxygen gas to produce sulfur dioxide gas. Calculate the number of grams of the excess reactant remaining when 25.0 grams of sulfur is mixed with 125 grams of oxygen gas. Reports Example: In the course lab manual, students will collect data, calculate results and answer additional questions regarding the topics demonstrated in the lab like studying and utilizing density, the relationship between mass and volume of a substance (laboratory course objective 4). Students will be graded on precision of measurements and use of units and significant figures, as well as ability to convert data collected into desired results with correct units and significant figures. Example Lab Report: Write up the lab report for the "Density" lab. Example Question, "Density" lab: Using the mass and initial and final volumes of water displaced by a rubber stopper, calculate the volume and density of the rubber stopper. Skill Demonstrations Example: Students will utilize lab equipment to obtain precise and accurate data and results like in the titration lab experiment (laboratory course objectives 1-2, 9-10). Students will be graded on precision and accuracy of data. Example Skill Demonstration:: Titration of vitamin C (ascorbic acid) where students use titrations to accurately determine the concentration of a standard sodium hydroxide titrant using weighed masses of potassium hydrogen phthalate and measured volumes of the titrant necessary to neutralize the acid. The standardized titrant is then used to determine the amount of vitamin C in a vitamin C tablet by titrating a measured mass of vitamin C powder. Repeatable No Methods of Instruction Laboratory Lecture/Discussion Distance Learning Lab: Instructor organizes laboratory experiments and demonstrations that reinforce empirical formula concepts. Instructor guides students in empirical formulas data collection and analysis and preparation of laboratory reports. Lecture: Instructor utilizes resources such as textbook, online sources, videos, and demonstrations to present the topic of moles. Students are expected to read the text to prepare for the lecture presentation, participate in lecture, and work problems related to the concept of moles during lecture. Distance Learning Instructor utilizes resources such as textbooks, laboratory manuals, online sources, and other printed to present the topic stoichiometry. Using the LMS the instructor will provide video lectures introducing and working out stoichiometry problems and instructional videos on how to perform stoichiometry related assignments. Students are expected to read the text, watch the video lectures and other resources and work problems related to stoichiometry through the LMS. Assignments may be uploaded in LMS or presented in an LMS discussion board. Typical Out of Class Assignments Reading Assignments 1. Read a section from the textbook. Be prepared to use the content to participate in the classroom and to complete assigned problems from the textbook. For example: Read the section on stoichiometry from the textbook. Be prepared to use the content to participate in the classroom and to complete the assigned problems related to stoichiometry. 2. Read a laboratory experiment and answer prelaboratory questions. For example: Read the experiment on Scientific Measurement and answer prelaboratory questions. Writing, Problem Solving or Performance 1. Read an experiment background and procedure. Then write thoughtful answers to prelab questions and perform prelaboratory calculations. For example: Write thoughtful answers to prelaboratory questions for the Scientific Measurement experiment. 2. Solve problems. For example: Read the section of the text on energy, heat and heat capacity. Then, from assigned homework, calculate the energy required to raise the temperature of 50 grams of water by 50℃. Other (Term projects, research papers, portfolios, etc.) Required Materials Introductory Chemistry Author: Tro Publisher: Pearson Education, Inc. Publication Date: 2018 Text Edition: 6th Classic Textbook?: OER Link: OER: Other materials and-or supplies required of students that contribute to the cost of the course. Scientific calculator and laboratory goggles.
PHYS 0000A - Preparation for Calculus-Based Physics
http://catalog.sierracollege.edu/course-outlines/phys-0000a/
Catalog Description Prerequisite: Completion of MATH 27 with grade of "C" or better Advisory: Eligibility for ENGL 11 strongly recommended Hours: 72 lecture Description: Intended to provide stronger preparation for Physics 205 than Physics 105. Focuses on measurement and the development of the conceptual and mathematical frameworks necessary for problem-solving in physics. (not transferable) Course Student Learning Outcomes CSLO #1: Apply algebra, geometry, and trigonometry to solve problems associated with Classical Physics. CSLO #2: Identify which physical concepts associated with Classical Physics explain physical phenomena. CSLO #3: Develop an overlying and rigorous process to aid in evaluating the behavior of physical systems obeying the laws of physics. CSLO #4: Evaluate the integrity of a data set provided by the instructor through error analysis, numerical computation, and/or graphical analysis and interpretation. Effective Term Fall 2022 Course Type Credit - Degree-applicable Contact Hours 72 Outside of Class Hours 144 Total Student Learning Hours 216 Course Objectives It should be noted that a thorough understanding of physics requires the student to evaluate data and synthesize ideas to solve problems. The list of objectives below is intended to help the student in this endeavor. Thus, students in Physics A are expected to: 1. Explain the operational definition of length, mass and time. 2. Convert physical measurements between SI units and any other unit of measure. 3. Express the result of any arithmetic calculation involving physical quantities with the correct number of significant figures. 4. Describe and explain position, linear and angular displacement, average speed, average linear and velocity, instantaneous linear and angular speed, instantaneous linear and angular velocity, linear and angular acceleration, motion at constant acceleration, and freefall. 5. Solve numeric problems involving the concepts in item 4. 6. Graphically represent position, velocity, and acceleration for one dimensional motion. 7. Calculate the sum of two or more vectors using the component method of vector addition. 8. Describe and explain force, Newton's Laws, inertia, weight, tension, normal force, Hooke's law, friction. 9. Identify forces in a physical system. 10. Draw a free-body diagram for a physical system. 11. Apply Newton's laws to one and two dimensional systems. 12. Describe and explain projectile motion, uniform circular motion, centripetal acceleration, centripetal force, apparent weight. 13. Calculate the direction and horizontal and vertical coordinates of a projectile (under the influence of gravity only) at any moment in its flight. 14. Solve numeric problems involving centripetal acceleration and centripetal force. 15. Solve numeric problems applied to circular motion and gravitational force. 16. Describe and explain impulse, linear momentum, impulse-momentum theorem, conservation of momentum. 17. Solve numeric problems involving the impulse-momentum theorem and conservation of linear momentum in one dimension. 18. Describe and explain work, energy, work-energy-theorem, kinetic energy, potential energy, and conservation of mechanical energy. 19. Solve numeric problems applied to work and energy for translational and rotational motion. 20. Describe and explain concurrent and non-concurrent forces, torque, the first condition of equilibrium, and the second condition of equilibrium. 21. Describe and explain the following terms or concepts: rigid body, axis of rotation, moment of inertia, and rotational kinetic energy. 22. Describe the relation between torque and angular acceleration. 23. Solve numeric problems involving the relationship between torque and angular acceleration. 24. Solve static equilibrium problems involving concurrent and non-concurrent forces. 25. Develop rudimentary problem solving skills for given physical systems through the application of basic concepts and principles that include the use of diagrams, lists, equations, and/or words. 27. Evaluate the integrity of a data set provided by the instructor through error analysis, numerical computation, and/or graphical analysis and interpretation. General Education Information Approved College Associate Degree GE Applicability 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 Objective Examinations Example: A box slides down an incline plane with constant velocity. The incline makes an angle of 30˚ above the horizontal. What is the coefficient of friction? a. 0.346 b. 0.296 c. 0.577 d. 0.206 Problem Solving Examinations Example: 1. You are driving from Reno to Mount Rose on Highway 435. It's a narrow two-lane road that winds around the mountain. All of the sudden, an idiot driving at 55mph (17m/s) passes you on the wrong side of the road as you drive around a blind curve. The idiot's car hits an icy spot on the horizontal road and goes off the 153m high cliff at 17 m/s. a. What is the time of flight of the falling car? (5pts) b. How far does it travel in the horizontal direction? (5pts) c. Calculate the resultant velocity (magnitude and direction) of the car when it hits the ground below. Sketch a diagram indicating the x and y-components of the projectile's velocity, the direction of the resultant vector. (15pts) 2. A solid sphere of radius R=10.0cm is placed on an incline plane of angle 25.0 degrees and released from rest. The coefficients of kinetic and static friction of the plane are 0.3 and 0.5, respectively. a. Draw a free-body diagram indicating all the forces acting on the sphere. b. Sum the forces acting on the sphere. c. Sum the torques acting on the sphere. Indicate the reference point that was chosen. d. Calculate the frictional force acting on the sphere along with its acceleration. Reports Example: Two students individually and separately measure the length, width, height, and mass of a copper block 20 times. One student measured the dimensions with a ruler and the other with a Vernier caliper. Both students used the same electronic balance to determine the mass of the block. The attached below contains a data set obtained by each student. For each data set, calculate the average value of the measured quantities along with their standard error. Use this information to calculate the copper block's average density and standard error for each data set. Write a brief 1-2 page report that contains an analysis of this data. In your report, you must answer the following questions: 1. Are the average densities obtained from the two measurements in agreement? 2. Do the two measured densities agree with the accepted value? Repeatable No Methods of Instruction Lecture/Discussion Distance Learning Lecture: (In Class or Distance Learning) A multimedia presentation is used to discuss motion in one dimension (in class or online). The presentation includes graphics and video clips for emphasis and clarity. The instructor solves example problems in great detail at appropriate times throughout the presentation. Students are always encouraged to ask questions in class or in the LMS discussion board throughout the presentation. (In Class or Distance Learning) Demonstrations illustrating uniform motion and accelerated motion are used at appropriate times to elucidate this topic. Students are always encouraged to ask questions in class or in the LMS discussion board throughout the presentation. Distance Learning (In Class or Distance Learning) Using an audience response system, students are asked to answer conceptual questions on one dimensional motion (other examples free-body analysis, energy conservation etc.) to assess their learning and develop critical thinking skills. In the online modality this can be accomplished synchronously using polling software or asynchronously using a discussion board. (In Class or Distance Learning) In class, group problem solving activities are administered to assess student learning. The activities are also designed to get students to verbalize physical concepts to each member in the group, identify concepts that affect a physical system, and to illustrate how to build physical models. The instructors role is to facilitate the activity. In the online modality this can be accomplished asynchronously using virtual groups or synchronously using a breakout groups feature of a live meeting software. Example: An object is undergoing uniform circular motion of radius 54 meters and period 56 seconds. If the initial coordinates of the object at t=0s are (x,y)=(0,54m) determine the position, velocity, and acceleration vectors at t= 21s assuming it moves clockwise. What are the average velocity and average acceleration vectors in this time interval? Typical Out of Class Assignments Reading Assignments 1. Read the textbook chapter on Newton's Laws and be prepared to identify forces on simple systems using free-body analysis. 2. Read the document "Significant Figures" located on the Physics A LMS page and be prepared to apply the rules for significant figures on the worksheet to be handed out in class. Writing, Problem Solving or Performance 1. Complete homework assignment on unit conversion. This is an assignment created by the instructor using an online homework service that accompanies the course textbook. Sample Problem: If we could fill the Earth with beer, how many barrels of beer would it hold (1 barrel of beer=36 gallons; earth=6370km;V=(4/3)(pi)r^3 )? 2. Plot the position, velocity, and acceleration, vs. time graphs for the problem solved in class today. Turn in your graphs at the beginning of the next lecture. The problem: A rock is thrown upward from a cliff. The initial speed of the rock is 22m/s. The cliff is 32m above the ocean. a. What is the acceleration of the rock at its highest point? b. What is the speed of the rock when it reaches the ocean below? c. How long does it take to reach the ocean below? Remember the plots must cover the entire flight of the rock. Other (Term projects, research papers, portfolios, etc.) Required Materials College Physics Author: Serway/Vuille Publisher: Cengage Publication Date: 2018 Text Edition: 11th Classic Textbook?: OER Link: OER: College Physics Author: Urone/Hinricks Publisher: Openstax Publication Date: 2016 Text Edition: 2nd Classic Textbook?: OER Link: OER: College Physics Author: Young/Adams Publisher: Pearson Publication Date: 2020 Text Edition: 11th Classic Textbook?: OER Link: OER: Other materials and-or supplies required of students that contribute to the cost of the course.
