Demonstrate an understanding between graphical presentation and calculus concepts (1st, 2nd part.Construct differential equation models from word problems and use qualitative and algebraic methods to investigate properties of the models.Understand the issues involved with infinite intervals or asymptotic values in evaluating integrals.Understand properties related to the integral - average value, continuous anti-derivatives.Construct application models from word problems and use integrals and/or derivatives to investigate properties of the models.Understand the graphical/area interpretation of integration and average value.Understand the relationship between integration and area under a curve/rate graph.Use relationships between modeling variables to estimate the effects of changes of inputs or outputs.Use relationships between modeling variables to construct relationships between their rates of change.Use derivatives to locate and classify critical points in optimization problems.Construct application models from word problems and use derivatives to investigate properties of the models.Understand the difference between various possible approximations to a function.Understand the tangent-slope and rate of change meanings of the derivative.Calculate value of finite and infinite limits of continuous and discontinuous functions (with or without l'Hopital's rule), given a function. Express (verbally or through calculations or graphs) the meaning of limiting values in application problems.Have a toolkit of functions for describing relationships in application problems.a function that starts at (0,0), has one peak, and then a horizontal asymptote at y=2) Select a function form or family of functions that have desired graphical and limit properties.They will be based on the Test Preparation Problems from the Assignments.Īfter you complete this course you will be able to: Tests are written during your tutorial times, 3 times per term.Tutorials will be where tutors can provide additional examples, as well as the opportunity to get further clarification about the assignment problems.Assignments, along with solutions, will give you the chance to master the skills of the course.
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