Systems of equations and data in categories. Working with functions : algebraic operations - Power functions : positive powers - Polynomial functions : combining power functions - Fitting power and polynomial curves to data - Power functions : negative powers - Rational functions - Explorations: only in the movies? proportionality-shape and size managing traffic alcohol and the surge function - 7. Power, polynomial, and rational functions. Working with functions : shifting and stretching - Quadratic functions and their graphs - Maxima and minima : getting information from a model - Quadratic equations : getting information from a model - Fitting quadratic curves to data - Explorations: transformation stories Toricelli's law quadratic patterns - 6. Logarithmic functions - Laws of logarithms - Logarithmic scales - The natural exponential and logarithmic functions - Exponential equations : getting information from a model - Working with functions : composition and inverse - Explorations: super origami orders of magnitude semi-log graphs the even-tempered clavier -ĥ. Logarithmic functions and exponential models. Exponential growth and decay - Exponential models : comparing rates - Comparing linear and exponential growth - Graphs of exponential functions - Fitting exponential curves to data - Explorations: extreme numbers-scientific notation so you want to be a millionaire? exponential patterns modeling radioactivity with coins and dice - 4. Working with functions : average rate of change - Linear functions : constant rate of change - Equations of lines : making linear models - Varying the coefficients : direct proportionality - Linear regression : fitting lines to data - Linear equations : getting information from a model - Explorations: when rates of change change linear patterns bridge science correlation and causation fair division of assets - 3. Making sense of data - Visualizing relationships in data - Equations : describing relationships in data - Functions : describing change - Function notation : the concept of function as a rule - Working with functions : graphs and graphing calculators - Working with functions : getting information from the graph - Working with functions : modeling real-world relationships - Making and using formulas - Explorations: bias in presenting data collecting and analyzing data every graph tells a story - 2. Category 3A-3D: Foundations and Perspectives Note Regarding Guaranteed Transfer (GT) Pathways coursesįor more in-depth descriptions of each AUCC category (including Content Criteria and Core Student Learning Outcomes), please visit the Curriculum & Catalog website.Note Regarding the All-University Core Curriculum Categories 1A, 1B, 1C, and 2: Fundamental Competencies.1. The All-University Core Curriculum (AUCC) at CSU helps students refine their academic skills and introduces them to areas of knowledge, methodologies, and ways of knowing in various fields of study. The AUCC is integral to the entire undergraduate educational experience. The AUCC promotes the acquisition and effective practice of essential competencies within areas of learning stipulated by the state of Colorado. These include math, writing, arts and humanities, social sciences, and history. Courses approved for inclusion in the AUCC at CSU collectively satisfy all of the requirements of the state with regard to subject area and guaranteed transfer agreement (GT Pathways) content, competencies, and student learning outcomes. Essential competencies include the ability to write clearly, speak effectively, recognize diverse perspectives, understand and apply quantitative reasoning, make sense of abstract ideas, reason analytically, and read critically. The AUCC ExperienceĮach course approved to satisfy requirements of the AUCC calls upon the instructor to introduce and reinforce academic success skills, provide students with ample and prompt feedback to encourage their academic progress and development, encourage reflection and development of metacognition, and foster an academic mindset.ĪUCC courses should provide high impact practices such as writing, collaborative learning, community/civic engagement, or research as relevant to the field. Students learn and retain knowledge when they write, reflect upon what they are learning, and engage in revision processes that utilize feedback. Courses in categories 3B, 3C, and 3D must base at least 25% of the final grade on writing, a portion of which must be written outside of class. Writing activities may range from brief in-class reflective writing to multi-draft revised papers.
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